Answer:
x = 2
y = 152°
Step-by-step explanation:
✔️9x + 10 = 15x - 2 (corresponding angles theorem)
Collect like terms
9x - 15x = -10 - 2
-6x = -12
Divide both sides by -6
x = -12/-6
x = 2
✔️y + (15x - 2) = 180° (same-side interior angle theorem)
Plug in the value of x
y + (15*2 - 2) = 180
y + 28 = 180
y = 180 - 28
y = 152
Select the correct answer,
Factor the given expression,
X2 + 16x + 64
O A. (X + 8)(x-8)
OB. (x+ 16)(x + 4)
Oc. (x+4)?
OD. (x+8)?
Answer:
(x+8)^2
Step-by-step explanation:
x^2 +16x+64
What two numbers multiply to 64 and add to 16
8*8 = 64
8+8 = 16
(x+8)(x+8)
(x+8)^2
I need help on question 27
A = \(\frac{1}{2}h(b_{1} +b_{2} )\)
If A = 136 when \(b_{1}\) = 7 and h = 16, find \(b_{2}\)
Givens:We are given the equation that we are working with:
A = \(\frac{1}{2}h(b_{1} +b_{2} )\)
We are given certain values that the variables, in this case, are equal to:
A = 136
\(b_{1}\) = 7
h = 16
Steps:Substitute the given variables in the given equation for the corresponding numbers:
A = \(\frac{1}{2}h(b_{1} +b_{2} )\)
136 = \(\frac{1}{2}\) * 16 (7 + \(b_{2}\))
We know all the values in the equation except \(b_{2}\). In order to find \(b_{2}\) we must isolate it on one side of the equation
136 = 8 (7 + \(b_{2}\))
\(\frac{136}{8}\) = \(\frac{8 (7 + b_{2}) }{8}\)
17 = 7 + \(b_{2}\)
17 - 7 = 7 - 7 + \(b_{2}\)
10 = \(b_{2}\)
Check:If \(b_{2}\) is equal to 10 then if we plug it back into the given equation both sides of the equation should equal each other. Remember to use PEMDAS
136 = \(\frac{1}{2}\) * 16 (7 + \(b_{2}\))
136 = \(\frac{1}{2}\) * 16 (7 + 10)
136 = \(\frac{1}{2}\) * 16 (17)
136 = 8 (17)
136 = 136
\(b_{2}\) = 10
It is easy to check that for any value of c, the function
y = ce^{-2x} + e^{-x}
is solution of equation
y' + 2y = e^{-x}.
Find the value of c for which the solution satisfies the initial condition y(2)= 9.
The value of c for which the solution satisfies the initial condition y(2)= 9 is c = 9 - e^{-2}.
Let us solve this problem step by step.
For the given equation: y' + 2y = e^{-x}
We have the solution as: y = ce^{-2x} + e^{-x}
We have to find the value of c for which the solution satisfies the initial condition y(2)= 9.
Substituting x = 2 in the above equation, we get:
9 = c + e^{-2}.
Therefore, we can solve for c as:
c = 9 - e^{-2}
Hence, the value of c for which the solution satisfies the initial condition y(2)= 9 is c = 9 - e^{-2}.
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if you invest $550.00 and your annual interest is 4%, what will be the interest
The annual interest is $22.
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.
Simple Interest = (Principal × Rate × Time) / 100
Given;
Amount invested= $550
Annual interest= 4%
SI= 550*4*1/100
=5.5*4
=22
Therefore, the simple interest will be $22.
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Can u please help me with 3&4 I’m giving 20 point please help me
Answer:
Step-by-step explanation:
Pls answer quick i don't understand this
The given expression is 4x + 2 + 7y. The true statements about this expression are:
7 is a coefficient4x + 2 + 7y is written as the sum of three terms2 is a constantWhat is an expression?An expression is formed by the terms connected with the arithmetic operations. Where the terms are formed by the coefficients and variables. A constant is also said to be a term in the expression.
Example: ax + by + c = 0; here there are 3 terms, ax, by and c, two variables x and y, and one constant c. The constant or numerals with the variables are said to be coefficients.
Calculation:The given expression is 4x + 2 + 7y.
The expression has 3 terms. they are 4x, 2, 7y.
There are two variables x and y.
The coefficients for these variables are 4 and 7 respectively.
The numeral 2 is a constant in the given expression.
So, statements 1, 3, and 4 are true.
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Tara wants to attend a four-year college to become a math teacher. Which statements explain the possible differences in total yearly cost for attending a public college in state and public college out of state? Check all that apply.
A - A public college out of state will have fewer transportation costs than a public college in state.
B - A public in-state college charges less for in-state tuition than for out-of-state tuition.
C - Books and fees will generally cost more at a private college than a public college.
D - Tara will most likely have to pay room and board expenses at an out-of-state public college, but might be able to commute to a public college in state.
E - All the extra fees besides tuition are different for in-state and out-of-state public colleges.
Answer:
D
Step-by-step explanation:
i dont know how to explain it im just rlly use to this type of math so sorry but its D. :)
Line ac and df are parallel they are cut by transversal Hj with your partner find the seven unknown angle measures in the diagram explain your reasoning. What do you notice about the angles with vertex B and the angles with vertex E
The measure of the unknown angles in the parallel lines AC and DF with transversal HJ are as follow,
m ∠DEH = 63° , m ∠BEF = 63° ,m ∠CBJ = 63°, m ∠CBE = 117° , m ∠FEH = 117° , m ∠BED = 117° , and m ∠ABJ = 117°.
Two lines AC and DF are parallel to each other in the attached figure
Transversal HJ cut lines AC and DF at point B and E respectively.
Measure of ∠ABE = 63°.
Using the result based on corresponding angles, alternate interior angles , and vertically opposite angles of a parallel lines we get,
Measure of ∠ABE ≅ Measure of ∠DEH ( corresponding angles)
⇒Measure of ∠DEH = 63°
Measure of ∠ABE ≅ Measure of ∠BEF ( alternate interior angles)
⇒Measure of ∠BEF = 63°
Measure of ∠ABE ≅ Measure of ∠CBJ ( vertically opposite angles)
⇒Measure of ∠CBJ = 63°
Using the result of linear pair angles,
Measure of ∠ABE + Measure of ∠CBE = 180°
⇒ Measure of ∠CBE = 180° -63°
⇒ Measure of ∠CBE = 117°
Measure of ∠CBE ≅ Measure of ∠FEH ( corresponding angles)
⇒Measure of ∠FEH = 117°
Measure of ∠CBE ≅ Measure of ∠BED ( alternate interior angles)
⇒Measure of ∠BED = 117°
Measure of ∠CBE ≅ Measure of ∠ABJ ( vertically opposite angles)
⇒Measure of ∠ABJ = 117°
Therefore, the measure of the seven unknown angles formed in the parallel line are given by m ∠DEH = 63° , m ∠BEF = 63° ,m ∠CBJ = 63°, m ∠CBE = 117° , m ∠FEH = 117° , m ∠BED = 117° , and m ∠ABJ = 117°.
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The above question is incomplete, the complete question is:
Lines AC and DF are parallel. They are cut by transversal HJ with your partner find the seven unknown angle measures in the diagram explain your reasoning. What do you notice about the angles with vertex B and the angles with vertex E.
In the attached figure.
What is the correct answer?
Answer:
Image B shows a rotation.
How many inches of wood are needed to make a picture frame that will measure 36 inches by 42 inches?
The picture frame is rectangular and has dimensions 36in by 42in. To find how many inches of wood is needed, find the perimeter of the rectangle with those dimensions:
\(undefined\)what is the quotient of 35.86 divided by 2.123
Answer:
Its just 16.
Step-by-step explanation:
What is 7/25 written as a decimal? 0.18 0.28 0.725 3.57
Answer:
0.28
Step-by-step eplanation:
Answer:
0.28
Step-by-step explanation:
Use a calculator
What is the equation of the line?
The line cuts the X axis at \(x=3\) and is parallel to the Y axis.
Thus the equation of the line is $\boxed{x=3}$
Answer:
The equation of the line is x = 3.
Step-by-step explanation:
When a line is parallel to the y-axis, its gradient will be undefined. There is no y-intercept and the line touches x-axis so the equation is x = 3.
10x - 80 = 16x - 12
what is x?
16. A pack of pens costs $3. Lynn spent $12
on pens. Each pack has 5 pens. How
many packs did she buy? How many
pens does she have?
A 3 packs; 15 pens
B
4 packs; 20 pens
5 packs; 20 pens
6 packs; 30 pens
Answer:
it should be B Other than that I'm not sure
PLEASE HELP I WILL MARK BRAINLIST IF YOU ANSWER CORRECTLY OR IF YOU JUST TRY BUT IF YOU ANSWER FOR THE POINTS IM REPORTING btw I CAN tell and help on both if you can
Answer:130 85/288 ok check my explaination if its reasonable
Step-by-step explanation:
ok youre figuring out the volume right? base times height. 5x25 1/12=125 5/12. 125 5/12x 25 inches=260 85/144 /2=130 85/288. you have to divide it by 2 because i figured it out as a rectangle.
There are 6 dogs, 2 mice, and 4 cats. Write two sentences that describe a ratio of types of animals in this collection.
Answer:
The ratio would be 6:2:4. Dogs, to mice, to cats.
Step-by-step explanation:
hope this helps!!:)
What is the circumference of the circle if the radius is 10 cm?
The circumference of the circle is 62.8cm.
The Circumference of the circle is given by the formula,
Circumference = 2*\(\pi\)*r cm.........equation 1
Given, r = 10cm
On substituting the radius value in equation 1
Circumference = 2*\(\pi\)*10
Circumference = 62.8 cm
Therefore, the circumference of the circle is 62.8cm.
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Eric went on a 11,150km trip. he travelled the firsy 7574 kilometre by train and the rest of the trip by car. if he took 12 days to complete the second part of his trip by car, what was the mean distance he drive each day ?
Answer:
298
Step-by-step explanation:
please make brainest thx
Given that f(x)=2x+3 and g (x)=x^2-4x-5, find (g o f)(6)
Answer:
160
Step-by-step explanation:
g(f(6))=?
f(6) = 2*6+3=15
g(15) = 15*15 - 4*15 -5 =160
geomtry plzzz help 15 points
Answer:
19
Step-by-step explanation:
they give you xz, and they want half, so just divide 38 by 2
PLSSS HELP!! Ty whoever helped me! :) Question: Select the statement that is true about the two-dimensional figure.
A quadrilateral with the vertices labeled L, M, N and O. Angles M L O and L M N are greater than 90 degrees, and angles L O N and M N O are less than 90 degrees.
∠LMN is an acute angle.
∠LMN is an obtuse angle.
∠MNO is an obtuse angle.
∠MNO is a right angle.
∠LMN is an obtuse angle.
==========================================
Explanation
Let's go through the answer choices to see which are true, and which are false.
A. This is false. It is stated that "LMN is greater than 90 degrees", so this angle is obtuse. Acute angles are less than 90 degrees.B. This is true. See choice A above.C. This is false. We're told that "angle MNO is less than 90 degrees". That makes the angle acute. D. This is false. See choice C above. Right angles are 90 degrees exactly. Often a small square marker is used to denote a 90 degree angle.complete the table of values for y=2-x
x= -1, 0, 1, 2, 3, 4,
y= , , , , -1, ,
Answer:
x = -1, 0, 1, 2, 3, 4
y = 3, 2, 1, 0, -1, -2
Answer:
x = -1, 0, 1, 2, 3, 4
y = 3, 2, 1, 0, -1, -2
I need help asap please!!!
The values of the angles given are: 0,90,180,240,270,360,420,480,540,600,630,660,720 and
What is sine of angles?he sine of an angle is the trigonometric ratio of the opposite side to the hypotenuse of a right triangle containing that angle. It is defined as the length of the opposite side divided by the length of the hypotenuse
The given angles are: 0,30,45,90,120,135,180,210,225,240,270,300,315,330,360
2∅ 2*∅ = 0, 90,180,240,270,360,420,480,540,600,630,660,720
sin 2∅ = sin0 = 0; Sin90=1; sin180=0; sin240= -0.8660; sin270 = -1;
Each angle is multiplied by sine sine360 =1; sin420 = 0.8660; sin480= 0.9848; sin540=1; sin600=-0.8660; sin630=-1; sin660=0.8660; sin720= 0.9397
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Which number is composite 2, 5, 11, 9,
Answer:
9
Step-by-step explanation:
3*3 =9
what is 2 + 2= i need to know
Answer:
4 but what 1x1
Step-by-step explanation:
Please see attached picture.
Need help answering.
In the given graph, the x-intercepts are (2,0) and (6,0).
The axis of symmetry is the vertical line that passes through the vertex. Since the vertex is at (4,-2), the axis of symmetry is the line x = 4.
The interval on which the graph is increasing is (-∞,4), and the interval on which it is decreasing is (4,∞).
The sign of the leading coefficient is positive, since it is 1/2.
To find the equation of the quadratic function, we start by using the vertex form:
\(y = a(x - h)^2 + k\)
where (h, k) is the vertex. Plugging in the given vertex (4,-2), we get:
\(y = a(x - 4)^2 - 2\)
Next, we use the other two points to find two additional equations:
\(6 = a(8 - 4)^2 - 2 (plugging in (8,6))\\0 = a(2 - 4)^2 - 2 (plugging in (2,0))\)
Simplifying these equations, we get:
\(6 = 16a - 2\\8a = 4 -- > a = 1/2 \\0 = 4a - 2 \\4a = 2 -- > a = 1/2 \\\)
So the equation of the quadratic function is:
\(y = (1/2)(x - 4)^2 - 2\)
Now, we can answer the questions:
The y-intercept is the point where the graph intersects the y-axis. To find it, we set x = 0 in the equation:
\(y = (1/2)(0 - 4)^2 - 2 = 6\)
So the y-intercept is (0,6).
To find the x-intercepts, we set y = 0 in the equation:
\(0 = (1/2)(x - 4)^2 - 2\)
Simplifying, we get:
\((x - 4)^2 = 4\\ - 4 = \pm 2 \\= 2, 6\)
So the x-intercepts are (2,0) and (6,0).
The axis of symmetry is the vertical line that passes through the vertex. Since the vertex is at (4,-2), the axis of symmetry is the line x = 4.
The interval on which the graph is increasing is (-∞,4), and the interval on which it is decreasing is (4,∞).
The sign of the leading coefficient is positive, since it is 1/2.
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John, Jack, and Jill have 159 marbles altogether. John has 2 more marbles than Jack, and if Jill gave 5 marbles to Jack, Jack would have the same number of marbles as Jill. How many marbles does each of them have?
Answer:
someone else tell me to thank you
0,0 2,0 2,2 3,4 is it a function
Yes, it is a function.
The reason is that the values on each row all align in a manner that shows the graph is moving in a clear direction. This is consistent with the behavior expected from the standard function, with all of the values on each row being the same distance from the origin.
Fastest answer gets brainliest (must provide an explanation and steps for proof)
Answer:
\(\sf g(x+5) = \dfrac{x+6}{4x+17}\)
explanation:
g(x + 5) || this function refers to x = x + 5
solving steps:
\(\sf g(x) = \dfrac{1+x}{-3+4x}\)
\(\rightarrow \sf g(x+5) = \dfrac{1+(x+5)}{-3+4(x+5)}\)
\(\rightarrow \sf g(x+5) = \dfrac{6+x}{-3+4x+20}\)
\(\rightarrow \sf g(x+5) = \dfrac{x+6}{4x+17}\)
Answer:
Given function:
\(g(x)=\dfrac{1+x}{-3+4x}\)
To find \(g(x+5)\), substitute \(x+5\) into the function in place of \(x\):
\(\implies g(x+5)=\dfrac{1+(x+5)}{-3+4(x+5)}\)
\(=\dfrac{1+x+5}{-3+4x+20}\)
\(=\dfrac{x+6}{4x+17}\)