Answers
Answer:
Slope = -1/2
Y-Intercept = 2
Equation: Y=-1/2x+2
Step-by-step explanation:
Graph goes 2 units up at y=2, that's your y-intercept. From there, plot your second point by moving 1 down and 2 to the right from the y-intercept, landing on the point (2,1) to get your slope, written as -1/2.
Related Questions
WWhat is the equation for the line of reflection? On a coordinate plane, triangle A B C has points (6, 3.7), (5.4, 2), (1, 3). Triangle A prime B prime C prime has points (3.7, 6), (2, 5.4), (3, 1). x = 3 y = 3 y = x x = 6
Answers
Answer:
[tex]y = x[/tex]
Step-by-step explanation:
Given
[tex]A =(6,3.7)[/tex]
[tex]B = (5.4,2)[/tex]
[tex]C = (1,3)[/tex]
[tex]A' = (3.7, 6)[/tex]
[tex]B' = (2, 5.4)[/tex]
[tex]C' = (3, 1)[/tex]
Required
The equation for the line of reflection
Taking points A and A' as a point of reference:
[tex]A =(6,3.7)[/tex] and [tex]A' = (3.7, 6)[/tex]
First, calculate the midpoint (M)
[tex]M = (\frac{x_2+x_1}{2},\frac{y_2+y_1}{2})[/tex]
[tex]M = (\frac{3.7+6}{2},\frac{6+3.7}{2})[/tex]
[tex]M = (\frac{9.7}{2},\frac{9.7}{2})[/tex]
[tex]M = (4.85, 4.85)[/tex]
Calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{6 - 3.7}{3.7 - 6}[/tex]
[tex]m = \frac{2.3}{-2.3}[/tex]
[tex]m = -1[/tex]
The midpoint of a reflection is always perpendicular to the points being reflected.
So, the slope of [tex]M = (4.85, 4.85)[/tex] is:
[tex]m_2 = -\frac{1}{m}[/tex]
[tex]m_2 = -\frac{1}{-1}[/tex]
[tex]m_2 = 1[/tex]
The equation is then calculated as:
[tex]y = m_2(x - x_1) + y_1[/tex]
Where:
[tex](x_1,y_1) = (4.85,4.85)[/tex]
[tex]y = 1(x - 4.85) + 4.85[/tex]
[tex]y = x - 4.85 + 4.85[/tex]
[tex]y = x[/tex]
Hence, the equation of line of reflection is:
[tex]y = x[/tex]
Answer:
c
Step-by-step explanation:
will mark brainliest and rate 5/5
Answers
Answer:
20,250 square yards
Step-by-step explanation:
Formula: s^2 + 2st
75^2 + 2(75)(97.5)
5625 + 14,625
20,250
Please help with 2 and 3!! I´ll give brainly!!
Answers
Answer:
2 and 16
Step-by-step explanation:
help me please!
i don’t understand!
Answers
Answer:
Harry is paid £64
Step-by-step explanation:
To work this out you have to divide 48 ÷ 6 to get 8.
8 hours x £8 = £64
Answer:
64
you have to find the LCM of 48 including 6 and use the other number which is 8 and multiply it by how long Harry worked 8 hours which gives you £64
WILL GIVE BRAINLIEST!
As part of a training program for the Boston Marathon, a runner wants to build endurance by running at a rate of 12 mph for 15 min. How far will the runner travel in that time period? _ mi
Answers
The distance travelled by the runner running at a rate of 12 mph for 15 min is 3 miles.
Speed is the ratio of distance travelled to time taken. Speed is given by:
Speed = distance/time
Given that the runner is running at a rate of 12 mph for 15 min, hence:
speed = 12 mph, time = 15 min * 1/60 min per hour = 0.25 hours.
Hence:
Speed = distance/time
12 mph = distance/0.25 hours
distance = 3 miles
The distance travelled by the runner running at a rate of 12 mph for 15 min is 3 miles.
Find out more at: https://brainly.com/question/22610586
Caleb parks his car on the 2nd floor below ground and works
on the 7th floor. How many floors must he go up from his car
to reach his office?
Answers
Answer:
9
Step-by-step explanation:
please follow rate thank
Simplify (46)
Give your answer as a power of 4.
Answers
Answer:
0.00000368
Step-by-step explanation:
Last week, Juliet ran 22 kilometers. This week, she plans to run 2\frac{2}{5}2 5 2 times as far as last week. How many kilometers does Juliet plan to run this week?
Answers
Answer: 52.8 kilometers
Step-by-step explanation:
This week she plans to run 2²/₅ times as much as last week.
If she ran 22 kilometers last week, then multiple 22 by 2²/₅ to find out the number of kilometers to run this week.
First convert the improper fraction to a proper one:
2²/₅ = 12/5
= 12/5 * 22
= 264/5
= 52.8 kilometers
A fair, 20-sided die with sides labeled 1 through 20 is rolled.
Consider the following events, and then answer the question.
A: rolling an even number
B: rolling a multiple of 4
C: rolling a number greater than 11
D: rolling a factor of 20
Which probability is the smallest?
Answers
B. Rolling a multiple of 4
Explanation:
Rolling A even number has 10/20 chances
Rolling a multiple of 4 has 5/20 chances
Rolling greater than 11 has 9/20 chances
Rolling a factor of 20 has 6/20 chances
= 10/20
B. 4,8,12,16,20
=5/20
C. 12-20
=9/20
D. 1,2,4,5,10,20
=6/20
Answer is B
What is the probability of picking a red marble from a bag containing 4 white marbles and 7 green marbles? *
Answers
Answer
7:4
Step-by-step explanation:
100 points help ASAP!!!!
Answers
Answer:
True
False
False
True
Step-by-step explanation:
its not even 100 points
Answer: This is 9 points. True,False, False,True is the answer by the way.
Step-by-step explanation:
HELP!!!!!!!!!!!!!!!!!!!!!!!
Answers
good luck! hope this helps:)
Answer:
5 dollars for 1 sub
Step-by-step explanation:
y2-y1/x2-x1=unit rate
20-10/4-2
10/2
5
HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answers
Answer:
1.324
Step-by-step explanation:
Just divide 1324 by 1000 to get your conversion rate which is 1.324
If you check, to convert $1000 into Japanese Yen, by multiplying 1.324 with $1000, you'll get 1324 Yens
Nancy’s rectangular garden has a diagonal of 18.4 feet and a width of 7 feet. If she needs to paint the floor, how much area is she going to cover?
Answers
Use this diagram and information given to find m_DFC.
B
C с
А
F
KE
D
Given: m_AFB = m_EFD = 35°
Points B,F,D and points E, F, C are collinear.
The measure of ZDFC is 9
Answers
VX
Find the mean of the data set shown below. Round to the nearest tenth, if necessary.
This Week's High Temperatures (°F)
29, 38, 45, 31, 50, 58, 62
Answers
Answer:
44.7
Step-by-step explanation:
Find the mean of the data set shown below. Round to the nearest tenth, if necessary.
This Week's High Temperatures (°F)
29, 38, 45, 31, 50, 58, 62
The formula for the Mean of a given set of data is
= Sum of terms/ Number of terms
Number of terms = 7
Hence,
Mean = 29+ 38+ 45+ 31+ 50+ 58+ 62/7
Mean = 44.714285714286
Approximately to the nearest tenth= 44.7
In ΔMNO, the measure of ∠O=90°, the measure of ∠N=48°, and NO = 73 feet. Find the length of MN to the nearest tenth of a foot.
Answers
Answer:109.1 feet
Step-by-step explanation:
What function uses the ADJACENT and the HYPOTENUSE?
\text{SOH-CAH-TOA}
SOH-CAH-TOA
\cos N = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{73}{x}
cosN=
hypotenuse
adjacent
=
x
73
\cos 48=\frac{73}{x}
cos48=
x
73
x\cos 48=73
xcos48=73
Cross multiply.
\frac{x\cos 48}{\cos 48}=\frac{73}{\cos 48}
cos48
xcos48
=
cos48
73
Divide each side by cos 48.
x=\frac{73}{\cos 48}=109.0968\approx 109.1\text{ feet}
x=
cos48
73
=109.0968≈109.1 feet
Type into calculator and roundto the nearest tenth of a foot.
Adriana baked 42 cookies with 7 scoops of flour. With 8 scoops of flour, how many cookies
can Adriana bake? Solve using unit rates
Answers
Answer:
she can make 48 cookies.
Answer:
48
Step-by-step explanation:
If you divide 42 by 7 you get 6 so thats how many cookies she baked with one scoop. So then you add 6
At janices age she is not only 5 times older than ross, but she is 28 years older than ross. How old is janice?
Answers
Answer:
35 years old
Step-by-step explanation:
Let Janice's age = j.
Let Ross's age = r.
j = 5r
j = r + 28
Set the equations equal to each other.
5r = r + 28
4r = 28
r = 7
j = 5r
j = 5(7)
j = 35
Answer: 35 years old
write an equation of a line that passes through (1,1)and (6,6)
Answers
Answer:
y=x
Step-by-step explanation:
When y=x, then the line goes up 1 and right 1.
Simplify the Expression
2(x +14) - (2x - 5)
Answers
your answer would be 33.
step 1
2(+14)−1(2−5)
2+28−1(2−5)
step 2 distribute
2+28−1(2−5)
2+28−2+5
step 3 then add the numbers
2+28−2+5
2+33−2
combine
2+33−2
ANSWER IS
33
True or false? When comparing the results of multiplying polynomials using the horizontal method and the vertical method, the vertical method is more accurate than the horizontal method.
Answers
Answer: FALSE
Step-by-step explanation;
A rectangle has an area of 2x2 - 19x +45 ft? What are the dimensions of the rectangle? (hint: factor)
Answers
The dimensions of the rectangle will be (2x - 9)(x - 5).
What is a quadratic equation?A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given that the area of the rectangle is represented by a quadratic equation 2x² - 19x +45.
The dimensions of the rectangle will be the factors of the quadratic equation.
2x² - 19x + 45
2x² - 10x -9x + 45= 0
2x( x - 5 )-9(x - 5)= 0
( 2x - 9 ) ( x - 5 ) = 0
Therefore, the dimensions of the rectangle will be (2x - 9)(x - 5).
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Al and Tom are painting a shed. Working alone, Al can paint the shed in 2 hrs. Together they can paint the shed in 1.5 hours. How long would it take Tom to paint the shed on his own?
Answers
Answer:
6 hours.
Step-by-step explanation:
The formula sort of has to be invented.
Al
rate = 1 shed / 2 hours
Tom
rate = 1 shed / x hours.
Together.
rate = 1 shed / 1.5 hours.
Equation
1 shed / 2 hours + 1 shed / x hours = 1 shed / 1.5 hours.
1/2 + 1/x = 1/1.5 Put the fractions over a common denominator.
(x + 2) / 2x = 1 / 1.5 Cross Multiply
1.5(x + 2) = 2x Remove the Brackets.
1.5x + 3 = 2x Subtract 1.5x from both sides
3 = 2x - 1.5x
3 = 0.5x Multiply both sides by 2
6 = x
It would take Al 6 hours to do the shed on his own.
Find f(-4) if f(x)=-x-5
Answers
Answer: -1
Step-by-step explanation:
f(x)=-x-5
f(-4)=-(-4)-5
f(-4)=4-5
f(-4)=- 1
determining slope and y-intercept
Answers
Answer:
The slope is -1
Step-by-step explanation:
Anytime the x-intercept values have 0 in it, the y-intercept value which is below/above the x-values (Which in this case is -1) is the y-intercept.
Please help meh I keep getting it wrong im so sad
Answers
Answer:
1, 2 and 5
Step-by-step explanation:
- 18
10
- 11 -
What’s the area of the shape and numbers ?
Answers
Answer:
1,980 would be the area and the perimeter would be 39 im pretty sure
Do you like forgs???
Answers
Answer:
there ok
Step-by-step explanation:
simplify — п+(-3) + 3n +5
Answers
Answer:
4n+2
Step-by-step explanation: