write an equation of the line in point slope form that passes through the given points (3,4) and (4,6)An equation of the line is??
re The point-slope form of a line is
\(y-y_1=m(x-x_1)\)The slope m of the line passing through these two points is the difference between their y coordinates divided by the difference between their x - coordinate.
\(m=\frac{6-4}{4-3}\)\(m=2\)Now we need only find the y-intercept.
Let us use the point (3, 4) which tells us that at x = 3, y = 4; therefore,
\(4-y_1=2(3)\)\(y_1=-2\)Hence, the question of our line in point-slope form is
\(\textcolor{#FF7968}{y+2=2x}\)Alternatively, when we have the slope of the line we would just use one of the points to quickly write the point-intercept form.
The y_1 and x_1 in the very first equation are the coordinates of one of the points on the line =. We know that one of the point on our line is (3, 4);
Evaluate the expression
so you write 16 but i don't speak English very good i want help you 2(6+3)-2 ok you you going multiplying 2×6=12+6=18-2=16 so 16
? The points P, Q, R and S all lie on the same line segment, in that order, such that the ratio of PQ: QR: RS is equal to 3: 3:1. If PS = 49, find QS
1. Situation: There will be a centerpiece on each table. A centerpiece costs $5.50. Represent the relationship between the number of centerpieces and the total cost for the centerpieces. Table: Algebraic rule: Process Graph:
The proportional relationship between the number of centerpieces and the total cost for the centerpieces is graphed at the end of the answer.
Proportional relationships and graphsA graph represents a proportional relationship if the output variable y in the y-axis is written as a product of the input variable x in the x-axis and the constant of proportionality k, as follows:
y = kx.
The constant k is called the slope of the unit rate of the situation, measuring by how much y changes when x changes by 1.
In the context of this problem, the cost of each centerpiece is of $5.50, hence the constant is given as follows:
y = 5.5x.
The number of centerpieces cannot be negative, hence the domain of the relation is given as follows:
x ≥ 0.
Considering this domain, the graph of the relation is given at the end of the answer.
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there are eight teaching assistants available for grading papers in a college course. the first exam consists of four questions, and the professor wants a different assistant grading each question (one assistant per question). in how many ways can assistants be chosen to grade the exam?
There are 1680 ways the teaching assistants can be chosen to grade the exam.
To determine the number of ways the teaching assistants can be chosen to grade the exam, we need to consider the number of choices available for each question and multiply them together.
For the first question, there are eight teaching assistants available. Therefore, there are 8 choices for the first question.
For the second question, since one assistant has already been assigned to the first question, there are seven remaining assistants available. Thus, there are 7 choices for the second question.
Similarly, for the third question, there are six remaining assistants available after two have been assigned to the previous questions. Hence, there are 6 choices for the third question.
Lastly, for the fourth question, there are five remaining assistants available after three have been assigned to the previous questions. Therefore, there are 5 choices for the fourth question.
To determine the total number of ways, we multiply the number of choices for each question:
Total ways = 8 * 7 * 6 * 5 = 1680
Therefore, there are 1680 possible approaches to select the teaching assistants to grade the exam.
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Consider the sequence 2, 2, 2, 2, 2, ...... Identify the type of sequence (arithmetic or geometric) and describe your reasoning.
Answer: arithmetic
Step-by-step explanation: arithmetic cause is repeating its self
Complete the square to re-write the Quadratic function in vertex form
The vertex form of the given quadratic equation is.
y = -5(x + 6)² - 356
How to complete squares?To complete squares we need to use the perfect square trinomial:
(a + b)² = a² + 2ab +b²
Here we can rewrite our quadratic as follows:
y = -5x² - 60x - 176
y = -5*( x² + 12x) - 176
y = -5*( x² + 2*6x) - 176
Now we can add and subtract 6² = 36 then we will get:
y = -5*( x² + 2*6x + 36 - 36) - 176
y = -5*( (x + 6)² - 36) - 176
y = -5(x + 6)² - 356
Which means that the vertex is at (-6, -356)
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CAN SOMEONE HELP ME PLEASE
To describe a sequence of transformation that maps triangle ABC onto triangle a”b”c” a student starts with a reflection over x-axis
We can write the coordinates after reflection as -
A (x₁, y₁) → A" (x₁, - y₁)
B (x₂, y₂) → B" (x₂, - y₂)
C (x₃, y₃) → C" (x₃, - y₃)
What is reflection of graph?Reflections of graphs involve reflecting a graph over a specific line.Reflecting functions are functions whose graphs are reflections of each other.Given is that to describe a sequence of transformation that maps triangle ΔABC onto triangle ΔA”B”C” a student starts with a reflection over x - axis.
Assume the coordinates of a triangle are -
A (x₁, y₁)
B (x₂, y₂)
C (x₃, y₃)
When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse.The reflection of point (x, y) across the x-axis is (x, -y).
So after the reflection over the {x} axis, we can write the coordinates as -
A" (x₁, - y₁)
B" (x₂, - y₂)
C" (x₃, - y₃)
Therefore, we can write the coordinates after reflection as -
A (x₁, y₁) → A" (x₁, - y₁)
B (x₂, y₂) → B" (x₂, - y₂)
C (x₃, y₃) → C" (x₃, - y₃)
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calculate the area of a rectangle when b= a and h = a +2. Use A= bh
Do both 1 & 2, find if they represent functions or if they don’t
Answer:
1) 1+3
2) c
...............
Answer:
1.) first, second and third
2.) D
Simplify.
ws
(-2i)(2 – 7i)
[?]+[li
Please help
Answer:
\(\boxed{\sf -14-4i}\)
Step-by-step explanation:
\(\sf (-2i)(2-7i)\)
Multiply -2i * 2-7i:-
\(\sf -2i\times 2-2(-7)i^2\)
i^2 is -1
\(\sf -2i\times 2-2(-7)(-1)\)
Now, do the multiplications.
Reorder the terms.
\(\sf -14-4i\)
____________________________________
Jackson is trying to find the density, in g/cm³, of a block of wood. The block of wood is in the shape of a cuboid. He measures the length as 13.2 cm, correct to the nearest mm the width as 16.0 cm, correct to the nearest mm the height as 21.7 cm, correct to the nearest mm He measures the mass as 1970 g, correct to the nearest 5 g. By considering bounds, work out the density of the wood. Give your answer to a suitable degree of accuracy.
Answer:is tht suga
Step-by-step explanation:
The perimeter of the figure below is 122.7 ft. Find the length of the missing side.
?
14.9 ft
19.9 ft
6.5 ft
39.8 ft
6.5 ft
14.9 ft
14.9 ft
Answer:5.3ft
Step-by-step explanation: 1. find the sum of the rest of the sides
14.9+19.9+6.5+39.8+6.5+14.9+14.9=117.4
2. subtract 117.4 from 122.7 to find the missing side length
122.7-117.4=5.3
In evaluating the results for your area, which of the following trends emerges from the data?
a. Increased Overtime Hours lead to increased Productivity Rates
b. Productivity Rate is negatively impacted by team size
c. Schedule Adherence is inconsistent across periods of time
d. Larger teams have more Schedule Adherence issues
To evaluate the results for your area and identify the emerging trends from the data, we need to examine the relationships between different variables. Based on the options provided:
a. Increased Overtime Hours lead to increased Productivity Rates: This trend suggests that as the number of overtime hours increases, productivity rates also increase. However, without specific data and analysis, it is difficult to confirm this trend.
b. Productivity Rate is negatively impacted by team size: This trend indicates that larger team sizes result in lower productivity rates. This suggests that as the team size increases, individual performance and coordination may be compromised, leading to decreased productivity.
c. Schedule Adherence is inconsistent across periods of time: This trend suggests that adherence to schedules fluctuates over time. It indicates that there is variability in meeting scheduled timelines or deadlines, potentially due to factors such as workload, resource availability, or changing priorities.
d. Larger teams have more Schedule Adherence issues: This trend implies that larger teams face challenges in adhering to schedules. It suggests that coordination and communication within larger teams may be more complex, leading to difficulties in meeting scheduled timelines or maintaining adherence.
It is important to note that without specific data and statistical analysis, it is challenging to determine the accurate trend from the given options. Proper data analysis and interpretation would be required to draw definitive conclusions about the relationships between variables in your specific area.
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Which polynomial correctly combines the like terms and expresses the given polynomial in standard form?
9xy³-4y-10x2y2 + x³y + 3x² + 2x²y²-9y4
Answer:
I believe the answer is c
Step-by-step explanation:
You see, in a standard form the term with greater stays at the very right.
Find the diameter of a circle with a
circumference of 27 centimeters. Use 3.14
for pi. Round to the nearest tenth.
Therefore, the diameter of the circle with an area of pi is 2. We can round this to the nearest tenth to get 2.0, since there are no decimal places beyond the first digit after the decimal point. Thus, the diameter of the circle is 2.0.
To find the diameter of a circle with an area of pi, we need to use the formula for the area of a circle which is A = πr^2, where A is the area of the circle, π is pi, and r is the radius of the circle.
Since we are given the area of the circle as pi, we can substitute that into the formula as follows:A = πr^2pi = πr^2Dividing both sides of the equation by pi gives us
:r^2 = 1r = sqrt(1)
Since the radius is equal to the square root of 1, which is 1, we can now use the formula for the diameter of a circle to find the diameter. The formula for the diameter of a circle is
:d = 2rd = 2(1) = 2
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What type of Number is 2/9 *
Rational Number
Irrational Number
O Irregular Number
O Integer
Greetings from Brasil....
Every rational number is written as:
A/B where A ∈ ℤ and B ∈ ℤ* (B ≠ 0)
So in our case, 2/9 is a rational number, because we have the division of 2 by 9 and 2 ∈ ℤ and 9 ∈ ℤ*
How many meters is in one PACER lap for MUSD PFT assessments? *
O 10 Meters
O 15 Meters
20 Meters
TRUNK LIFT
20 meters is in one Pacer lap for MUSD PFT assessment.
What is Pacer lap?The objective of the PACER is to run as long as possible while keeping a specified pace. Students run back and forth across a 20-meter space at a pace that gets faster each minute. A point is scored for each 20-meter distance covered. The test is easier in the beginning but progressively gets more difficult. In comparison to distance running, the pacer is a more effective, fun, and easy way to measure aerobic capacity that encourages participation from all youth and is relatively easy to score and administer. It is a part of the fitness gram and Brockport test battery.
The running speed for each level is same for the 15m and 20m tests, though the number of laps for each level is greater for the 15m test, so that each level is still approximately one minute in duration.
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The duration of a professors class is continuous uniform does distribution between 49.2 minutes and 55.5 minutes have one class is randomly selected in the probability that the duration of the class is longer than a certain number of minutes is 0.29 then find the duration of randomly selected class, if P(X>c)=0.29,then find C, where she is the duration of the randomly selected class round your answer to one decimal place
The duration of the randomly selected class (C) is approximately 53.2 minutes, rounded to one decimal place.
To find the duration (C) of a randomly selected class with a continuous uniform distribution between 49.2 minutes and 55.5 minutes, given that P(X > C) = 0.29, we can use the formula for the probability of a continuous uniform distribution:
P(X > C) = (B - C) / (B - A)
Here, A is the lower bound (49.2 minutes), B is the upper bound (55.5 minutes), and P(X > C) is the probability of the class duration being longer than C minutes (0.29). Plugging in the values:
0.29 = (55.5 - C) / (55.5 - 49.2)
Now, solve for C:
0.29 * (55.5 - 49.2) = 55.5 - C
C = 55.5 - (0.29 * 6.3)
C ≈ 53.2 minutes
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Can someone help me ?
Answer:
-2
-1
Step-by-step explanation:
The y-intercept is the point on the y-axis intersected by the graph.
y-intercept is -2
The x-intercept is the point on the x-axis intersected by the graph.
x-intercept is -1
Answer:
see below
Step-by-step explanation:
The x intercept is where it crosses the x axis
It crosses at x = -1
(-1,0)
The y intercept is where it crosses the y axis
It crosses at y = -2
(0,-2)
The Haitian Revolution was the first, of many, successful slave uprisings in history.
A) True
B) False
Solve for c.
3 − 7c − 20c = 7(–7c − 19) + 14c
c =
Answer:
\( \boxed{c = -17} \)
Step-by-step explanation:
\( = > 3 - 7c - 20c = 7( - 7c - 19) + 14c \\ \\ = > 3 - 27c = ( - 7c \times 7) - (7 \times 19) + 14c \\ \\ = > 3 - 27c = - 49c - 133 + 14c \\ \\ = > 3 - 27c = - 35c - 133 \\ \\ = > 3 - 27c + 35c = - 133 \\ \\ = > 3 + 8c = - 133 \\ \\ = > 8c = - 133 - 3 \\ \\ = > 8c = - 136 \\ \\ = > c = - \frac{136}{8} \\ \\ = > c = - 17\)
Answer:
c = -17
Step-by-step explanation:
→Distribute the 7 to (-7c - 19):
3 - 7c - 20c = -49c - 133 + 14c
→Add like terms (-7c and -20c, -49c and 14c):
3 - 27c = -35c - 133
→Add 35c to both sides:
3 + 8c = -133
→Subtract 3 from both sides:
8c = -136
→Divide both sides by 8:
c = -17
How do you solve x/4 + 3x/4
Answer: the answer is x because x/4 + 3x/4 tunrs into 4x/4 and the 4 cancels out
could someone help me with my review? i have a test tomorrow and i have no clue what i'm doing.
this is using 45-45-90 triangles
The missing lengths of each right triangle are, respectively:
Case 7: x = 5, y = 5√2 / 2
Case 8: x = 7, y = 7√2 / 2
How to determine the missing lengths in a right triangle
In this problem we find two cases of right triangles whose internal angles are 45° - 45° - 90°, whose side relationships are listed below:
Length of hypotenuse is √2 times of the length of any leg.Both legs have the same length.Now we proceed to determine the missing lengths:
Case 7:
Hypotenuse:
x = √2 × 5√2 / 2
x = 5
Leg:
y = 5√2 / 2
Case 8:
Hypotenuse:
x = √2 × 7√2 / 2
x = 7
Leg:
y = 7√2 / 2
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Me. Phillips is mixing paint to paint his fence gray. If he uses the ratio of 3 parts white to 2 parts bl
Answer:
4 gallons of black paint
Step-by-step explanation:
Ok so here I'd use proportions:
If he used 3 parts white and 2 parts black we get this fraction:
3/2
he buys 6 parts white but we don't know how much black paint we need so we can set this equal to each other like so:
\(\frac{3}{2} = \frac{6}{x}\)
the 6 parts white is set equal to 3 parts white now we cross multiply to find x
3x = 12
divide
x = 4
alternatively you could also just divide 6 by 3, you get 2 then multiply 2 by 2(black paint) and you would get the same answer
Work out the size of angle X ?
Answer:
x = 121°
Step-by-step explanation:
∠ 1 + 115° = 180°
∠ 1 = 180 - 115
∠ 1 = 65°
∠ 2 + 304° = 360°
∠2 = 360 - 304
∠ 2 = 56°
∠ 1 + ∠ 2 + ∠ 3 = 180°
65° + 56 ° + ∠ 3 = 180°
∠3 = 180 - 65 - 56
∠ 3 = 59°
∠3 + x = 180°
59° + x = 180°
x = 180 - 59
x = 121 °
What is 8b - ab + 7a subtracted from 3a - 9ab + b?
Answer:
10a-10ab-7b
Step-by-step explanation:
i dont feel like putting the steps but ik this is correct
The answer is -4a -8ab -7b after subtracting 8b - ab + 7a from 3a - 9ab + b.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have two expressions:
8b - ab + 7a and 3a - 9ab + b
After subtracting:
= (3a - 9ab + b) - (8b - ab + 7a)
= -4a -8ab -7b
Thus, the answer is -4a -8ab -7b after subtracting 8b - ab + 7a from 3a - 9ab + b.
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Solve problems 1 and 4 ONLY with the rules given on the paper.
The solution to the equations obtained using inverse trigonometric function values are;
1. x ≈ 0.65
4. x ≈ 0.95
What are trigonometric functions?Trigonometric functions indicates the relationships between the angles in a right triangle and two of the sides of the triangle. Trigonometric functions are periodic functions.
The value of x is obtained from the inverse trigonometric function of the output value of the trigonometric function, as follows;
The inverse function for sine is arcsine
The inverse function for cosine is arccosine
The inverse function for the tangent of an angle is arctangent
1. sin(x) = 0.6051
Therefore; x = arcsine(0.6051) ≈ 0.65 radians
The value of x in the interval [0·π, 2·π] is x ≈ 0.65
4. tan(x) = 1.3972
Therefore, x = arctan(1.3972) ≈ 0.95
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Find the degree of the monomial.
-39^4rs^6
The degree is
Answer:
The answer to your question would be 20
Hope this helps!