Answer:
Steps and solution in the attached picture.
Step-by-step explanation:
Steps and solution in the attached picture.
Given the diagram below if the measure of < 3 is 59° what is the
measure of < 2?
59
69
141
121
Answer:
Angle 2 is 59°.
::::::::
What is the equation of the following line?
Answer:
Answer is F. y = 6x
Step-by-step explanation:
Wetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years, the United States has lost more than half its wetlands. Environmental Almanac gives the percentage of wetlands lost in each state in the last 200 years. For the 30 of the lower 48 states, the percentage loss of wetlands per state is as follows. 42 89 38 27 60 67 73 9 27 38 59 50 87 54 48 20 33 85 52 90 50 50 52 35 46 35 35 46 37 46 Make a stem-and-leaf display of these data. (Use the tens digit as the stem and the ones digit as the leaf. Enter NONE in any unused answer blanks.) Percent of Wetlands Lost COVOU AWN NONE 377 3555788 22666 000 26 99 07 >XXXXX 5 77 How are the percentages distributed? Is the distribution skewed? Are there any gaps? (Select all that apply.) These data are strongly skewed left. The percentages are concentrated from 20% to 60%. These data are fairly symmetric, perhaps slightly skewed right. There is a gap showing that none of the lower 48 states has lost from 60% to 69% of its wetlands. There are no gaps in the data. There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands. The percentages are concentrated from 60% to 90%.Wetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years, the United States has lost more than half its wetlands. Environmental Almanac gives the percentage of wetlands lost in each state in the last 200 years. For the 30 of the lower 48 states, the percentage loss of wetlands per state is as follows. 42 89 38 27 60 67 73 9 27 38 59 50 87 54 48 20 33 85 52 90 50 50 52 35 46 35 35 46 37 46 Make a stem-and-leaf display of these data. (Use the tens digit as the stem and the ones digit as the leaf. Enter NONE in any unused answer blanks.) Percent of Wetlands Lost COVOU AWN NONE 377 3555788 22666 000 26 99 07 >XXXXX 5 77 How are the percentages distributed? Is the distribution skewed? Are there any gaps? (Select all that apply.) These data are strongly skewed left. The percentages are concentrated from 20% to 60%. These data are fairly symmetric, perhaps slightly skewed right. There is a gap showing that none of the lower 48 states has lost from 60% to 69% of its wetlands. There are no gaps in the data. There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands. The percentages are concentrated from 60% to 90%.
The stem-and-leaf plot of the given data is attached.
A stem-and-leaf plot refers to a device used to present quantitative data in a graphical format to help in visualizing the shape of a distribution. It is a table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit).
From the given options, the statements that describe the percentages distributed, distribution skewness and whether there are any gaps are:
The percentages are concentrated from 20% to 60% as these concentrations have more than one values. These data are fairly symmetric, perhaps slightly skewed right, considering the midpoint, 4.5, there are fairly equal number of values on each side, perhaps a little more on the right side.There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands, as there are no values corresponding to 1, or no values between 10 and 19 percent.Learn more about Stem-and-leaf plot:
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3/4 ÷ a = 1/4. Solve for a
Answer:
a = 3
Step-by-step explanation:
ok so first you do the reciprocal of division which is multiplication. So its gonna be 3/4 x 1/a = 1/4
you multiply the fractions 3/4 x 1/a and get 3/4a = 1/4
then you cross multiply and you get 12=4a
swap sides so its going to be 4a = 12
divide both sides by 4 and you get a = 3
In the diagram below of circle O, chords AD and BC intersect at E, and chords AB and CD are drawn.
Which statement must always be true?
PLEASE HELP!
The correct answer is (C) \(\angle B \cong \angle C.\) when In the diagram below of circle O, chords AD and BC intersect at E.
What is a circle ?
A circle is a two-dimensional geometric shape that consists of all the points in a plane that are at a fixed distance from a given point, called the center.
In the given diagram, we have a circle O with chords AB, CD, AD, and BC. The chords AD and BC intersect at point E.
Based on the diagram, we can see that the opposite angles in the quadrilateral AEDC are supplementary (i.e., they add up to 180 degrees). Therefore, we have:
\(\angle A + \angle C = 180^\circ\)
Similarly, the opposite angles in the quadrilateral BEFC are supplementary. Thus,
\(\angle B + \angle C = 180^\circ\)
We can rewrite the second equation as:
\(\angle C = 180^\circ - \angle B\)
Substituting this value of \angle C into the first equation, we get:
\(\angle A + 180^\circ - \angle B = 180^\circ\)
Simplifying, we get:
\(\angle A = \angle B\)
Therefore, the correct answer is (C) \(\angle B \cong \angle C.\)
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Solve the equation A = bh for b.
b = Ah
b = A/h
b = h/A
b = h – A
Answer:
A/h = b
Step-by-step explanation:
A = bh
Divide each side by h
A/h = bh/h
A/h = b
Answer:
\(b=\frac{A}{h}\)
Step-by-step explanation:
→To get "b," by itself, all you need to do is divide both sides by "h," like so:
\(A=bh\)
\(\frac{A}{h} =\frac{bh}{h}\)
\(\frac{A}{h} = b\)
A nine-month old baby drank an average of 7 1/4 oz during each of four feedings. If the baby drank 7 1/2oz, 7 3/8oz, & 6 3/8oz in the first three feedings, how many ounces were taken during the fourth feeding?
A) 7 3/8
B) 6 3/8
C) 6 3/4
D) 7 3/4
Show work please
Answer: D) 7 3/4
Step-by-step explanation:
With averages, we add all the values and divide by the number of values. Here, we know three out of the four days, let's label the day we don't know x. There are four days, so we can divide by four. 7 1/4 is the average, so we can set the equation equal to 7 1/4.
7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x) / 4
Let's multiply both sides by 4 to get rid of the fraction. Let's also add what is in the parentheses
29 = 21 1/4 + x
Now we can isolate x by subtracting 29-21 1/4
so
x = 7 3/4 thus the answer is D
Answer:
D) 7 3/4
Step-by-step explanation:
Let x = amount of last feeding.
7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x)/4
4 × 7 1/4 = 7 1/2 + 7 3/8 + 6 3/8 + x
28 + 1 = 7 4/8 + 7 3/8 + 6 3/8 + x
29 = 20 10/8 + x
(20 10/8 is the same as 20 + 10/8 = 20 + 8/8 + 2/8 = 20 + 1 + 1/4 = 21 + 1/4 = 21 1/4)
29 = 21 2/8 + x
29 = 21 1/4 + x
x = 29 - 21 1/4
x = 28 4/4 - 21 1/4
x = 7 3/4
Answer: 7 3/4
prove that there exist only five regular polyhedron
To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2.
Proving there exist Five Regular PolyhedronThe five regular polyhedra, also known as the Platonic solids, are the only convex polyhedra where all faces are congruent regular polygons, and the same number of polygons meet at each vertex.
The five regular polyhedra are:
1. Tetrahedron: It has four triangular faces, and three triangles meet at each vertex.
2. Cube: It has six square faces, and three squares meet at each vertex.
3. Octahedron: It has eight triangular faces, and four triangles meet at each vertex.
4. Dodecahedron: It has twelve pentagonal faces, and three pentagons meet at each vertex.
5. Icosahedron: It has twenty triangular faces, and five triangles meet at each vertex.
To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that:
"for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2".
For regular polyhedra, each face has the same number of sides (n) and each vertex is the meeting point of the same number of edges (k). Therefore, we can rewrite Euler's formula for regular polyhedra as:
V - E + F = 2
=> kV/2 - kE/2 + F = 2
=> k(V/2 - E/2) + F = 2
Since each face has n sides, the total number of edges can be calculated as E = (nF)/2, as each edge is shared by two faces. Substituting this into the equation:
k(V/2 - (nF)/2) + F = 2
=> (kV - knF + 2F)/2 = 2
=> kV - knF + 2F = 4
Now, we need to consider the conditions for a valid polyhedron:
1. The number of faces (F), edges (E), and vertices (V) must be positive integers.
2. The number of sides on each face (n) and the number of edges meeting at each vertex (k) must be positive integers.
Given these conditions, we can analyze the possibilities for different values of n and k. By exploring various combinations, it can be proven that the only valid solutions satisfying the conditions are:
(n, k) pairs:
(3, 3) - Tetrahedron
(4, 3) - Cube
(3, 4) - Octahedron
(5, 3) - Dodecahedron
(3, 5) - Icosahedron
Therefore, there exist only five regular polyhedra.
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The red triangle is a dilation of the blue triangle, with a scale factor, of k=1.5
Use the hotspots to fill in the missing measurements and similarity statement
The measure of each angle and side is given above.
What is image dilation?An enlargement or reduction of a figure that preserves shape but not size.All dilations are similar to the original figure.Dilations have a center and a scale factor.Given is that the red triangle is a dilation of the blue triangle, with a scale factor of {k} = 1.5.
We can write -
57/RT = 1.5
RT = 57/1.5
RT = 38
LM/20 = 1.5
LM = 20 x 1.5
LM = 30
MN/26 = 1.5
MN = 26 x 1.5
MN = 39
∠2 = 15°
∠1 = 121°
Therefore, the measure of each angle and side is given above.
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Hi, can you help me answer this question please, thank you
Step 1: Find the t-value
\(\begin{gathered} \text{First, subtract 100\% by the confidence level},\text{ and divide it by two} \\ \frac{100\%-95\%}{2}=\frac{5\%}{2}=2.5\% \\ \\ \text{Converted to decimal that is} \\ 2.5\%\rightarrow0.025 \\ \text{Next find the degree of freedom }df \\ df=n-1 \\ df=19-1 \\ df=18 \\ \\ \text{Now that we have degree of freedom, find in the t-distribution table our t-value} \\ df=18,\text{ and }0.025 \end{gathered}\)The intersection is 2.101, which means that our t-value is 2.101.
Step 2: Calculate the standard error
\(\begin{gathered} \text{SE}=\frac{s}{\sqrt[]{n}}=\frac{4}{\sqrt[]{19}} \\ \text{SE}=0.9176629355 \end{gathered}\)Step 3: Multiply the t-value to the standard error
\(\begin{gathered} t\times SE=2.101\times0.9176629355 \\ =1.928009827\rightarrow1.928 \end{gathered}\)Step 4: Add and Subtract it to the sample mean, to get the lower and upper limit.
\(\begin{gathered} \text{Upper limit} \\ \bar{x}+1.928 \\ 46+1.928=47.928 \\ \\ \text{Lower limit} \\ \bar{x}-1.928 \\ 46-1.928=44.072 \end{gathered}\)Final Step: Now that we have Upper and Lower limit, our confidence interval is:
\(44.072<\mu<47.928\)please tell me the answer
Answer:
so so so so srry i cant see that pic
Step-by-step explanation:
Jackie used a photocopier to reduce an image that was 4 inches wide and 6 inches long. If the reduced image was 4 inches long, how wide was the reduced image
The width of the image which was photocopied by Jackie and has an initial length of 6 inches and width of 4 inches is 6 inches.
What is Area?An area is a unit of measurement used to describe the size of a region on a planar or curved surface. While a plane region or area refers to the area of a shape or planar lamina, a surface region or plane area refers to the area of an open surface or the boundary of a three-dimensional object.
Given:
The initial length of the image, l = 6 inches,
The initial width of the image, w = 4 inches,
The reduced length of the image, L = 4 inches,
The area of the initial image = The area of the reduced image,
l × w = L × W
Here W is the reduced width.
Substitute the values,
6 × 4 = 4 × W
W = 6 inches,
Therefore, the width of the image which was photocopied by Jackie and has an initial length of 6 inches and width of 4 inches is 6 inches.
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PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
it will be choice 3
Step-by-step explanation:
as if you bend each shape of each of them the only choice that will give you a pyramide with a omitted side
Select all the correct answers. If the measure of angle is is , which statements are true? The measure of the reference angle is . The measure of the reference angle is . The measure of the reference angle is . cos(0)=-3/10
The measure of angle is θ cannot determine the statements that are true about its reference angle.
There are two issues with the given statement.
First, it does not specify the measure of angle θ.
Second, the statement cos(0)=-3/10 is not related to the reference angle of θ.
The reference angle of θ is the acute angle between the terminal side of θ and the x-axis.
It is always positive and its measure is between 0 and 90 degrees or between 0 and π/2 radians.
The measure of the reference angle of θ is denoted by θ'.
To determine the reference angle of θ, we need to know the quadrant in which θ lies.
The reference angle of θ in standard position is the acute angle between the terminal side of θ and the x-axis.
If θ is in the first quadrant, then θ' = θ.
If θ is in the second quadrant, then θ' = π - θ.
If θ is in the third quadrant, then θ' = θ - π.
If θ is in the fourth quadrant, then θ' = 2π - θ.
The measure of angle θ, we can determine its reference angle using the above rules.
The statement cos(0)=-3/10 is not related to the reference angle of θ.
It is the value of the cosine function at 0 radians or 0 degrees.
This value does not correspond to any angle that has a reference angle.
The measure of angle θ cannot determine the statements that are true about its reference angle.
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cho hàm số f(x) liên tục trên đoạn [a;b] và có nguyên hàm F(x) thỏa F(a)=10;F(b)=2022 Khi đó \int _a^b\: f(x) dx bằng
The result follows from the fundamental theorem of calculus.
\(\displaystyle \int_a^b f(x) \, dx = F(b) - F(a) = 2022 - 10 = \boxed{2012}\)
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
Answer:
53\(x_{123}\) == 134 cf
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
The height of the building is approximately 78.63 meters.
The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.
Draw a diagram of the situation described in the problem to get a better understanding of the problem. The diagram would have a right-angled triangle with angle of elevation of 66° at the bottom left vertex and another angle of elevation of 53° at the bottom right vertex. The object on top of the building is at the vertex of the triangle. Point M and I on the diagram are points on the horizontal line of sight and on the ground respectively. We can label the diagram with the following values:Angle of elevation from point A = 66°Angle of elevation from point P = 53° Length of line segment AM = h Length of line segment MP = x Length of line segment IP = y Length of line segment MT = 50m. We'll use these values to calculate the length of h, which is the height of the building.Use the tangent ratio to find x:tan 66° = h / x => x = h / tan 66°. Use the tangent ratio to find y:tan 53° = h / y => y = h / tan 53°.We know that x + y = 50, so substituting the expressions for x and y from step 3 gives:h / tan 66° + h / tan 53° = 50h = 50 tan 66° tan 53° / (tan 53° + tan 66°) ≈ 78.63 m.Therefore, the height of the building is approximately 78.63 meters.
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Scores on a common final exam are normally distributed with mean 71 and standard deviation 9. Department policy is that the top 10% of students receive an A. The minimum exam score to be awarded an A is about:
Answer:
The minimum exam score to be awarded an A is about 8.52.
Step-by-step explanation:
Let X represent the scores on a common final exam.
It is provided that X follows a normal distribution with mean, μ = 71 and standard deviation, σ = 9.
It is provided that according to the department policy is that the top 10% of students receive an A.
That is, P (X > x) = 0.10.
⇒ P (X < x) = 0.90
⇒ P (Z < z) = 0.90
The corresponding z-score is:
z = 1.28
Compute the value of x as follows:
\(z=\frac{x-\mu}{\sigma}\\\\1.28=\frac{x-71}{9}\\\\x=71+(1.28\times 9)\\\\x=82.52\)
Thus, the minimum exam score to be awarded an A is about 8.52.
Find x
Pleasee! Help! Soon!
Answer: \(x = \frac{7\sqrt{6}}{2}\\\\\)
==============================================================
Explanation:
Focus on the upper triangle. This is a 30-60-90 triangle. The short leg is 7 and the long leg is \(7\sqrt{3}\). The long leg is always sqrt(3) times that of the short leg (and this only works for 30-60-90 triangles).
In short, the horizontal length is \(7\sqrt{3}\) units long.
Now move to the lower triangle. This is a 45-45-90 triangle with congruent legs (each are x units long). We just found the hypotenuse is \(7\sqrt{3}\)
We can use the pythagorean theorem to say the following:
\(a^2 + b^2 = c^2\\\\x^2 + x^2 = (7*\sqrt{3})^2\\\\2x^2 = 147\\\\x^2 = \frac{147}{2}\\\\x = \sqrt{\frac{147}{2}}\\\\x = \frac{\sqrt{147}}{\sqrt{2}}\\\\x = \frac{\sqrt{147}*\sqrt{2}}{\sqrt{2}*\sqrt{2}}\\\\x = \frac{\sqrt{147}*\sqrt{2}}{2}\\\\x = \frac{\sqrt{147*2}}{2}\\\\x = \frac{\sqrt{294}}{2}\\\\x = \frac{\sqrt{49*6}}{2}\\\\x = \frac{\sqrt{49}*\sqrt{6}}{2}\\\\x = \frac{7\sqrt{6}}{2}\\\\\)
Six numbers from a list of nine integers are 7,8,3,5,9 and 5. Find the largest possible value of the median of all nine numbers in this list.
Step-by-step explanation:
Arranging the data in order,
3,5,5,7,8,9
The three numbers are missing.
Median = (9+1)/ 2
= 5
So the median is 5th term.
Median = 8
Answer:
Median=8
Step-by-step explanation:
given numbers ⇒7,8,3,5,9 and 5.
Arrange numbers in order ⇒ 3,5,5,7,8,9
insert three numbers into the list
median will be highest 5 and the and 5 lowest on the list
If the three numbers are greater than 9 then the median be the highest
The median is the 5th item of data which is 8
median =8
hope it helps ^_^
Ariana is going to invest in an account paying an interest rate of 3.4% compounded monthly. How much would Ariana need to invest, to the nearest dollar, for the value of the account to reach $9,200 in 14 years?
Answer:
Ariana is going to invest P($) in an account paying an interest rate of 3.4% compounded monthly.
After 14 years, the amount of money in Adrina's account is calculated by:
A = P x (1 + rate)^(time)
or
A = P x (1 + 3.4/12)^(14 x 12)
or
9200 = P x (1 + 3.4/12)^(14 x 12)
=> P = 9200/[(1 + 3.4/12)^(14 x 12)]
=> P = 5791.044$
Hope this helps!
:)
The value of the account to reach $9,200 in 14 years is $5,791.
Calculation of the value of the account:Since interest rate of 3.4% compounded monthly. And, the amount is $9,200 in 14 years
So, the value should be
\(A = P \times (1 + rate)^{(time)}\\\\A = P \times (1 + 3.4/12)^{(14 \times 12)}\\\\9200 = P \times (1 + 3.4/12)^{(14 \times 12)}\\\\ P = 9200\div [(1 + 3.4/12)^{(14 \times 12)]}\)
P = $5791
hence, The value of the account to reach $9,200 in 14 years is $5,791.
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PLEASE HELP WILL GIVE BRAINLIEST
The number of automobiles in a certain town was 1,890 in 2015, and it was 2,420 in 2020. If we were to make a linear model that gives the number of automobiles in this town as a function of the number of years since 2015, what would be the y-intercept?
The y-intercept of the linear model is 211,400, which represents the estimated number of automobiles in the town in the year 2015 (when the independent variable is zero).
To find the y-intercept of the linear model, we need to determine the value of the dependent variable (the number of automobiles) when the independent variable (the number of years since 2015) is equal to zero.
Let's first find the slope of the line, which represents the rate of change of the number of automobiles per year:
slope = (change in number of automobiles) / (change in number of years)
slope = (2420 - 1890) / (2020 - 2015) = 106 automobiles per year
Now we can use the point-slope form of a linear equation to find the y-intercept:
y - y1 = m(x - x1)
where y1 is the value of the dependent variable when the independent variable is x1. In this case, x1 = 2015, y1 = 1890, and m = 106 (the slope we just calculated).
y - 1890 = 106(x - 2015)
To find the y-intercept, we can set x = 0:
y - 1890 = 106(0 - 2015)
y - 1890 = -213,290
y = 211,400
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the mean of the numbers 5, 2x, 4 and 3 is 5 find the value of x
Answer:
X=4
Step-by-step explanation:
(5+4+3+2x)/4=5
(12+2x)/4=5
12+2x=20
2x=8
X=4
Find to value of a if you knew the perimeter was 250 inches long
Answer:
To find the value of "a" when you know the perimeter of a shape, you need to know the specific shape you're referring to. Please provide more information about the shape in question, such as whether it's a rectangle, triangle, or another geometric figure. Additionally, if you have any specific measurements or relationships between the sides of the shape, please provide them as well.
Question 5
A person's monthly income is $ 2500. If the person pays a $200 gas bill, what percent of the monthly
income does the person spends on the gas bill?
expressions or equations.
Select all the ways to name 14.09.
a. 1,409 hundredths
b. 1 ten + 409 hundredths
c. 1 ten + 4 ones + 9 tenths
d. 140 tenths +9 hundredths
e. 1,409 tenths
Do these ratios form a proportion?
16¢ per 8 meters
14¢ per 7 meters
Answer:
Yes, they do form a proportion.
Step-by-step explanation:
16 cents per 8 meters is 2 cents per meter.
14 cents per 7 meters is 2 cents per meter.
Both are equal!
Answer:
Yes, they do.
Step-by-step explanation:
16/8= 2
14/7=2
proportion.
Jan needs 1000 signatures on a petition. If 230 people sign the petition each day, how many days will it take 1000 people to sign the petition
The number of days which it would take 1000 people to sign the petition as required in the task content is; 4.35 days.
What is the number of days required for 1000 people to sign the petition?It follows from the task content that the number of days which it would take Jan to get 1000 signatures on the petition be determined.
Since it is given in the task content that 230 people sign the petition each day.
It therefore follows from proportion that the number of days needed for 1000 people to sign the petition is;
= 1000/230
= 4.3478 days.
Hence, the number of days which it would take 1000 people to sign the petition is approximately; 4.35 days.
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2 1/4 - 2 1/4 x (3/5 + 1 2/3) divided by 4 1/5
Answer:
2 1/4 - ((2 1/4 * ((3 / 5) + 1 2/3)) / 4 1/5) = 1.03571429
Step-by-step explanation:
Help Quickly! Write the coordinates of point A.
A. (1, –4)
B. (–4, 1)
C. (–4, –1)
D. (4, 1)
help please and thank you
Answer:
1) 9x
2) 3b
3) 3m
4) 5a
5) 7x
6) 3a + 5b
7) 9x - 4
8) 2b + m
9) 13a + b + 6c
10) 9b + 1
11) 7p
12) 2a + b -10
Step-by-step explanation: