Complete the point-slope equation of the line through (-4, 8) and (4, 4).
Use exact numbers.
Answers
Answer:
y-4 = -1/2(x-4)
Step-by-step explanation:
Point slope form is y-y1 = m*(x-x1)
To find m, m=(y2-y1)/(x2-x1)
m=(4-8)/(4-(-4)) = -4/8 = -1/2
The equation is, y-4 = -1/2(x-4)
The equation of line is, [tex]y=-\frac{1}{2} x+6[/tex]
The equation of line is given in slope point form is,
[tex]y=mx+c[/tex] , where m is slope of line.
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{4-8}{4+4}=\frac{-4}{8}=-\frac{1}{2}[/tex]
So, equation of line become,
[tex]y=-\frac{1}{2}x+c[/tex]
Since, above line passing through point (4, 4)
So that,
[tex]4=-\frac{1}{2}*4+c\\\\c=4+2=6[/tex]
Hence, equation of line is, [tex]y=-\frac{1}{2} x+6[/tex]
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Related Questions
please answer i’ll give extra points
Answers
Answer:
i think it might be d
Step-by-step explanation:
What are the solutions to the equation Sine (x + StartFraction 7 pi Over 2 EndFraction) = negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction over the interval [0, 2Pi]?
Answers
Given:
The equation is
[tex]\sin\left(x+\dfrac{7\pi}{2}\right)=-\dfrac{\sqrt{3}}{2}[/tex]
To find:
The solutions of given equation over the interval [tex][0,2\pi][/tex].
Solution:
We have,
The equation is
[tex]\sin\left(x+\dfrac{7\pi}{2}\right)=-\dfrac{\sqrt{3}}{2}[/tex]
[tex]\sin\left(x+\dfrac{7\pi}{2}\right)=-\sin \dfrac{\pi }{3}[/tex]
[tex]\sin\left(x+\dfrac{7\pi}{2}\right)=\sin (-\dfrac{\pi }{3})[/tex]
If [tex]\sin x=\sin y[/tex], then [tex]x=n\pi +(-1)^ny[/tex].
Over the interval [tex][0,2\pi][/tex].
[tex]x+\dfrac{7\pi}{2}=4\pi-\dfrac{\pi }{3}[/tex] and [tex]x+\dfrac{7\pi}{2}=5\pi+\dfrac{\pi }{3}[/tex]
[tex]x=\dfrac{11\pi }{3}-\dfrac{7\pi}{2}[/tex] and [tex]x=\dfrac{16\pi}{3}-\dfrac{7\pi}{2}[/tex]
[tex]x=\dfrac{22\pi-21\pi }{6}[/tex] and [tex]x=\dfrac{32\pi-21\pi }{6}[/tex]
[tex]x=\dfrac{\pi}{6}[/tex] and [tex]x=\dfrac{11\pi }{6}[/tex]
Therefore, the two solutions are tex]x=\dfrac{\pi}{6}[/tex] and [tex]x=\dfrac{11\pi }{6}[/tex].
Answer:
C. π/6 & 11π/6
Step-by-step explanation:
If you graph the equation ( Sin (x+7π/2)=-√3/2) and look between 0 & 2π, you'll see that the lines intersect the x-axis at π/6 & 11π/6.
Please help!
3(3w−4)=−20
w= ???
Answers
Hope I helped
Annie earns $4200 per month, of which 20% is taken out for federal and state income taxes and other required deductions. Last month she spent $925 for rent and $212.13 for clothing. What percent of her take home pay did she spend on rent and clothing?
Answers
Answer:
Step-by-step explanation:
The Low-Income Housing Tax Credit provides a tax incentive to construct or rehabilitate affordable rental housing for low-income households.
HELP
Select the function that defines the given sequence.
–8, -20, -50, -125, -625.
Answers
Answer:
The answer is B
Step-by-step explanation:
a1 = -8
a2 = -8 * 2.5
a3 = -8 * 2.5 * 2.5
a4 = -8 * 2.5^3
an = -8 * 2.5^(n - 1)
The first term is -8. Each subsequent term is 5/2 times the previous term.
What is force? O Push O Pull O Neither O Both
Answers
Answer:
Both
Step-by-step explanation:
both???????????????????????????
5. Purple Bricks are stacked according to the pattern below. Each row contains 2 more bricks than the row above it!
Part A.
Determine a Quadratic Function to model the total number of bricks in the stack, f(x), given a number of rows X.
Part B.
If there are 50 rows in the stack, how many bricks would there be ? Use your quadratic function to determine the number of rows. Show your work and explain your reasoning
Answers
Answer:
Part A
The Quadratic Function to model the total number of bricks the stack is f(x) = x²
Part B
The number of bricks we will have for 50 rows is 2500 bricks
Step-by-step explanation:
Part A
Let the Quadratic Function to model the total number of bricks the stack, f(x), where x is the number of rows be f(x) = a·x² + b·x + c
We have;
When x = 0, f(x) = 0, therefore, f(0) = a×0² + b×0 + c = 0 + 0 + c = 0
∴ c = 0
When x = 1, f(x) = 1, therefore, f(1) = a×1² + b×1 + 0 = 1
∴ a + b = 1...(1)
When x = 2, f(x) = 4, therefore, f(2) = a×2² + b×2 = 4
∴ 4·a + 2·b = 4...(2)
Multiply equation (1) by 2, and subtract it from equation (2) gives;
4·a + 2·b - 2×(a + b) = 4 - 2 × 1
2·a = 2
a = 1
From equation (1), we have;
b = 1 - a = 1 - 1 = 0
b = 0
∴ f(x) = a·x² + b·x + c = 1·x² + 0·x + 0 = x²
Therefore, the Quadratic Function to model the total number of bricks the stack, f(x), where x is the number of rows be f(x) = x²
Part B
If there are 50 rows in the stack, then we have, x = 50
Therefore;
f(50) = 50² = 2500
The number of bricks we will have for 50 rows is f(50) = 2500 bricks
Blaze is paid $4 for every hour he babysits. Mrs. Dirlam paid him for 5 hours of
babysittting. On the way home, Blaze spent $9 on a book and $6 on a puzzle. How
much money did Blaze have left from the money he received from Mrs. Dirlam?
Answers
Answer:
5 dollars left
Step-by-step explanation:
4 x 5 is 20
then 20-15 is 5
hope this helps luv
1. - 2а - 9 = 6a + 15
Answers
Answer:
-2a-6a=15+9
-8a=24
a=24/-8
a=-3
Answer:
a=-3
Step-by-step explanation:
-2a-6a=15+9
-8a=24
a=-3
Explain the significance of the number $1080.46. If you plan on leaving $800 unpaid, which
card is the better choice?
Answers
I did 13 x 8 and got 104 so the answer is 8 hours.
What is the rate of change of y with respect to x for 25x-4y=50
Answers
Answer:
25/4, I believe
Step-by-step explanation:
the rate of change of y with respect to x is 25/4
what is the equation of the line that is perpendicular to the line y= -1/2 (x-18) and intersects the y-axis at (0,-1) ????
Answers
Answer: y=2x+1 sjsjrhrhfhhhxhh
Answer: its y=-2x-1
Step-by-step explanation:
Two cars leave from the same city at the same time and drive in the same direction
Answers
what is the question that you need help with
I need help with this
Answers
Answer:
U'(-1, 04)Step-by-step explanation:
Given
Point U(1, -4)Reflection over y-axis results in same y-coordinate and opposite x-coordinate
U(1, -4) → U'(-1, -4)The weights of healthy adult male Labrador Retrievers are approximately Normally distributed with a mean of 77 pounds and a standard deviation of 6 pounds
A)Make an accurate sketch of the weights of Labrador Retrievers with the horizontal axis marked
B)What weight would represent the 25th percentile?
C)What weight would represent the 75th percentile?
D) What is the interquartile range of male Labrador weights?
E)What proportion of male adult Labrador retrievers weigh above 85 pounds?
F) What proportion of male adult Labrador retrievers weigh between 60 and 80 pounds?
G) What proportion of male adult Labrador retrievers weigh less than 65 pounds?
Answers
Answer:the photo is for part A.
B) the weight would be Invnorm(.25,77,6)=72.95
C)the weight would be 81.04 but this is the work invnorm(.75,77,6)=81.04
D)IQR=Q3-Q1
81.04-72.95=8.09
E)9.12 is the answer the work normalcdf(85,1000,77,6)=.0912
F).6892 or 68.92% are the answers the work normalcdf(60,80,77,6)=.6892
G).0227 or 2.27% is the answer and the work normalcdf(0,65,77,6)=.0227
Step-by-step explanation:
Using the normal distribution, we have that:
a) The sketch is given at the end.b) A weight of 72.95 pounds would represent the 25th percentile.c) A weight of 81.05 pounds would represent the 75th percentile.d) The interquartile range is of 8.1 pounds.e) 0.0918 = 9.18% of male adult Labrador retrievers weigh above 85 pounds.f) 0.6892 = 68.92% of male adult Labrador retrievers weigh between 60 and 80 pounds.g) 0.0228 = 2.28% of male adult Labrador retrievers weigh less than 65 pounds.----------------------
Problems of normal distribution can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
----------------------
Mean of 77 means that [tex]\mu = 77[/tex]Standard deviation of 6 means that [tex]\sigma = 6[/tex]As for item a, the sketch is given at the end of the question.----------------------
Item b:
The weight is X when Z has a p-value of 0.25, so X when Z = -0.675.[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.675 = \frac{X - 77}{6}[/tex]
[tex]X - 77 = -0.675(6)[/tex]
[tex]X = 72.95[/tex]
A weight of 72.95 pounds would represent the 25th percentile.
----------------------
Item c:
The weight is X when Z has a p-value of 0.75, so X when Z = 0.675.[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{X - 77}{6}[/tex]
[tex]X - 77 = 0.675(6)[/tex]
[tex]X = 81.05[/tex]
A weight of 81.05 pounds would represent the 75th percentile.
----------------------
Item d:
The interquartile range is the difference between the 75th and the 25 percentile, thus:
[tex]81.05 - 72.95 = 8.1[/tex]
The interquartile range is of 8.1 pounds.
----------------------
Item e:
The proportion is 1 subtracted by the p-value of Z when X = 85, thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{85 - 77}{6}[/tex]
[tex]Z = 1.33[/tex]
[tex]Z = 1.33[/tex] has a p-value of 0.9082.
1 - 0.9082 = 0.0918.
0.0918 = 9.18% of male adult Labrador retrievers weigh above 85 pounds.
----------------------
Item f:
The proportion is the p-value of Z when X = 80 subtracted by the p-value of Z when X = 60, thus:
X = 80:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{80 - 77}{6}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a p-value of 0.6915.
X = 60:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{60 - 77}{6}[/tex]
[tex]Z = -2.83[/tex]
[tex]Z = -2.83[/tex] has a p-value of 0.0023.
0.6915 - 0.0023 = 0.6892.
0.6892 = 68.92% of male adult Labrador retrievers weigh between 60 and 80 pounds.
----------------------
Item g:
This proportion is the p-value of Z when X = 65, thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{65 - 77}{6}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a p-value of 0.0228.
0.0228 = 2.28% of male adult Labrador retrievers weigh less than 65 pounds.
A similar problem is given at https://brainly.com/question/21628677
i need help with this ^
Answers
Answer:
a=11
Step-by-step explanation:
Add all expressions to equal 180. (a+20+12a-14+a+20=180)
Combine like terms and solve
You'll get a=11
If f(x) = 5x - 7, what is f(3)?
O A. 8
O B. 1
O c. 2
D. 22
Answers
help me plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answers
Answer:
8.6
Step-by-step explanation:
(X-1)+(x-2) is my question plz answer quick
Answers
Answer:
there are two answers to this question
1; X=2
and
2;X=+1
Step-by-step explanation:
open the first brackets with an invisible +1
x-1=0
x=0+1
X=+1
open the second bracket with the plus +
x-2=0
X=0+2
X=+2
hence,
X=+1 and +2
calculate the perimeter of the rectangle if the length is 7cm and the height is 2cm
Answers
Answer:
Perimeter = 18
Step-by-step explanation:
P=2(l+w)=2·(7+2)=18cm
f(x)=[tex]\frac{8x-3}{2x+7}[/tex]
find all numbers that are not in the domain
step by step plz lol thanks
Answers
9514 1404 393
Answer:
x = -7/2 is not in the domain
Step-by-step explanation:
The numbers that must be excluded from the domain are the ones that make the function be undefined. That is, any value of x that makes the denominator zero will be excluded from the domain.
2x +7 = 0
2x = -7
x = -7/2 . . . . . must be excluded
The only number not in the domain is x = -3.5.
What is (6.4 x 103) + (5.2 x 104)?
Answers
Answer:
1200
Step-by-step explanation:
(6.4 x 103) + (5.2 x 104)
659.2+540.8
1200
So 1200 is the answer
Answer:
1200
Step-by-step explanation:
[tex](6.4 *103) + (5.2 * 104)[/tex]
[tex]6.4*103=659.2[/tex]
[tex]5.2*104=540.8[/tex]
[tex]659.2 + 540.8[/tex]
[tex]=1200[/tex]
[tex](6.4 *103) + (5.2 * 104) = 1200[/tex]
Hi anyone know the answer to this? Ill give brainliest ^^
Answers
Answer:
its y=5x-3
find the y intercept first and the ide over run for slope
someone please help ❤️❤️
Answers
Answer:
1) 44 2) 136 4) 44 5) 44 6) 136 7) 136 8)44
Step-by-step explanation:
You find the small angle by doing 180-136 = 44 then you can reflect over the line and because the bottom lines are parallel they are the same for 5 6 7 and 8
what is the perpendicular slope intercept form????
Answers
Answer:
y=3/4x+5
Step-by-step explanation:
Well to begin with make the slope perpendicular so so far we have y=3/4x but than it needs to go through that point so we input the X in that point into our current equation to get y=-3 but we need to make it y=2 so we change our equation to y=3/4x+5 and that is your equation
I need help with this last question and then I'll submit my test! please help in full explanation!
Answers
Answer:
Brianna is right. The quotient is in the hundreds place ,because the first digit is 2 spaces to the left from the comma/period ,thus we know it's a hundred
what is the slope of the line that passes through the points (48,10) and (-36,17)
Answers
Answer:
slope is -1/12
Step-by-step explanation:
slope =y2 - y1 / x2-x1
please help and do any of them that you can
Answers
B _< -1
2g _< 6
K+2 > 3
Answer:
Sorry but thats too cunfusing for me sorry I couldn't help
Step-by-step explanation:
best of luck
the store offers a 20% discount. the discount price of a hat is 18$. What is the regular price
Answers
Answer:
regular price is $22.50
Step-by-step explanation: 22.50*.20=4.5 (discount)
Find the slope of each line
Answers
answer: 4
explanation: it would be 4 because slope is rise/run and it rises 4 and runs one so u would get 4/1 which is 4 simplified. :)
Answer:
Slope: 4
Step-by-step explanation:
The slope is 4, because each time x is increased by 1 y is increased by 4.
The rise would be 4 and the run would be 1.
Since the slope of a graph can be found by dividing rise by run, the slope would be 4/1, which is equal to 4.
