Which statement is true about the graphs of the two lines y=-x+2 and y=-x- ?
O The lines are perpendicular to each other because - and - are opposite reciprocals of each other.
The lines are perpendicular to each other because 2 and - 1 are opposite reciprocals of each other.
O The lines are neither parallel nor perpendicular to each other because - and are not opposite reciprocals
of each other.
The lines are neither parallel nor perpendicular to each other because 2 and - 3 are not opposite reciprocals of
each other.

Which Statement Is True About The Graphs Of The Two Lines Y=-x+2 And Y=-x- ?O The Lines Are Perpendicular

Answers

Answer 1

Answer:

The correct option is Option C

Step-by-step explanation:

We are given the lines: [tex]y=-\frac{4}{5}x+2 \ and \ \ y=-\frac{5}{4}x-\frac{1}{2}[/tex]

The lines are perpendicular if they have opposite slopes i,e [tex]m_1=-\frac{1}{m_2}[/tex]

In line 1 the slope is [tex]-\frac{4}{5}[/tex] (Comparing with slope-intercept form [tex]y=mx+b[/tex] we get the value of m=-4/5)

In line 2 the slope is [tex]-\frac{5}{4}[/tex] (Comparing with slope-intercept form [tex]y=mx+b[/tex] we get the value of m=-5/4)

The opposite reciprocal of -4/5 is 5/4  

So, the lines are not perpendicular as their slopes are not opposite reciprocal of each other.

If the lines are parallel there slope must be same. Hence lines are not parallel as well.

So, The correct option is Option C

Answer 2

Answer:

c

Step-by-step explanation:


Related Questions

What are the terms in the expression 7x+4y+1?


1

7 and 4

7x, 4y, and 1

x and y

Answers

Answer:

I believe 7x, 4y, and 1

Step-by-step explanation:

I belive the answer is C.

Describe the pattern in the following sequence and list the next three terms:
4,8, 16, 32, ...

Answers

Answer:

the number on the left is half of the amount of the number next to it on the right, so the next three terms are 64, 128, 256

Step-by-step explanation:

ex 4x2=8 8x2=16 16x2=32

How much are these coins worth?

Answers

Answer:

$1.97

Step-by-step explanation:

In the supermarket, there were 434 boxes of cereal, 285 gallons of milk, and 176 cans of orange juice. About how many
breakfast items were there? Use rounding to the nearest hundred to estimate the total number of breakfast items.

Answers

Answer:

900

Step-by-step explanation:

434+285+176 is 895,895 to the nearest hundred is 900

consider these functions f(x)=1/3x^2+4 g(x)=9x-12 what is the value of g(f(x))​

Answers

Given:

Functions are

[tex]f(x)=\dfrac{1}{3}x^2+4[/tex]

[tex]g(x)=9x-12[/tex]

To find:

The value of [tex]g(f(x)).[/tex].

Solution:

We have,

[tex]g(f(x))=g(\dfrac{1}{3}x^2+4)[/tex]        [tex][\because f(x)=\dfrac{1}{3}x^2+4][/tex]

[tex]g(f(x))=9(\dfrac{1}{3}x^2+4)-12[/tex]        [tex][\because g(x)=9x-12][/tex]

[tex]g(f(x))=9(\dfrac{1}{3}x^2)+9(4)-12[/tex]

[tex]g(f(x))=3x^2+36-12[/tex]

[tex]g(f(x))=3x^2+24[/tex]

Therefore, the required function is [tex]g(f(x))=3x^2+24[/tex].

Following are the calculation to the given function:

Given:

[tex]f(x)=\frac{1}{3}x^2+4 \\\\g(x)=9x-12[/tex]

To find:

[tex]g(f(x))=?[/tex]

Solution:

[tex]f(x)=\frac{1}{3}x^2+4 \\\\g(x)=9x-12[/tex]

[tex]\to g(f(x))=g( \frac{1}{3} x^2+4) \\\\[/tex]

                [tex]=9( \frac{1}{3} x^2+4)-12 \\\\=\frac{9}{3}x^2+36-12 \\\\=3x^2+24 \\[/tex]

Therefore, the answer is "[tex]24+3x^2[/tex]" .

Learn more about the g(f(x)):

brainly.com/question/17022176

Four times the sum of a number and seven is twenty three.

Answers

Seventy three please elaborate

Answer:

[tex]\frac{-5}{4}[/tex]

Step-by-step explanation:

You're going to want to set up an algebraic equation to solve this. It would look like this: 4(x+7)=23. Using distributive property, you'd get 4x+28=23. Subtract 28 from both sides to isolate 4x, and you'd get 4x=-5. Divide by 4 on both sides to isolate x and you'd get x=[tex]\frac{-5}{4}[/tex].

CHECK:

To check, plug in x.

4([tex]\frac{-5}{4}[/tex]+7)=23.

Use distributive property and get [tex]\frac{-20}{4}[/tex]+28=23. This simplifies to -5+28=23, which is correct.

ILL GIVE BRAINLEYyyyyyyy

Answers

Answer:

2+10x-x^2, the last answer

Step-by-step explanation:

Please help fast too easy questions for double the points I’ll give brainless also and 10 point!

Answers

Answer:

78.5

Step-by-step explanation:

add 1+2+3+4+5+6+7+100-56=78.5

The base is 19.

The second question is 5^1/2

Could you mark me as brainliest please?

how do you find the nth term of a sequence? (don't paste from Google if you don't know)

the sequence is
-1,-3,-5,-7....​

Answers

Use formula an = a1 + ( n - 1)d
a1 = -1, d = -2
Just plug those into equation

2. Phan went grocery shopping and purchased 8 loaves of bread that cost $1.48 each, 4 bags of milk that
cost $4.33 each, and 2 boxes of cereal that cost $5.25 each.

Answers

Answer:

39.66

Step-by-step explanation:

i think your asking how much his total is going to be you didnt put the whole question so I really dont know

find the greatest common factor and the least common multiple of 12 and 20 explain
I’ll give brainleast

Answers

Answer:

GCF: 4

LCM: 60

In rectangle PLAN, PT = x + 3 and TL = 3x - 11. What are the lengths of PA and NL?

Answers

Answer:

PA = 20 units

NL = 20 units

Step-by-step explanation:

Property of a rectangle,

"Diagonals of a rectangle are equal in measure and divide each other in two equal parts"

By using this property,

PT = TL

(x + 3) = (3x - 11)

3x - x = 11 + 3

2x = 14

x = 7

Length of PT = (x + 3) = 10

Length pf PA = 2(PT) = 20 units

Length of NL = PA = 20 units

-(4x - 5) + 16x ≥ -31
can you solve this inequality equation?

Answers

Answer: x≥-3

Step-by-step explanation:

-(4x-5)+16x≥-31

-4x+5+16x≥-31

12x+5≥-31

   -5  -5

12x≥-36

12/12x≥-36/12

x≥-3

hope this helped :)

The side of a cube is increasing at a rate of 2 kilometers per hour. At a certain instant, the side is 1.5. What is the rate of change of the volume of the cube at that instant (in cubic kilometers per hour)?

Answers

Answer:

dV/dt = 13,5 [Km³/h]

Step-by-step explanation:

The volume f the cube is:

V = x³                 where x is a side of the cube, then tacking derivatives with respect to  time on both sides of the equation

dV/dt = 3*x² dx/dt

dx/dt = 2 km/h

at the time when the side x =  1,5 Km

dV/dt = 3* (1,5)²*2   [km³/h]

dV/dt = 13,5 [Km³/h]

Please help!!!! Thank youuu I’ll make brainlisy

Answers

Answer:

A

Step-by-step explanation:

it isn't a straight line, so it is nonlinear

A person who is 2 m tall casts a shadow that is 5 m long. At the same time, a building casts a shadow that is
24 m long. How tall is the building? Please show me how u get the answer

Answers

Answer:

9.6

Step-by-step explanation:

First you figure out that the shadow is 2.5 times larger than what is casting it. Then you divide 24 by 2.5.

PLEASE HELP BEING TIMED
The mass of Venus is 4.87 × 1024 kilograms, and the mass of Jupiter is 1,898 × 1024 kilograms.

The mass of Jupiter is about -----times the mass of Venus.

Answers

Answer:

The mass of the jupitor is 1444864 times the mass of the venus.

Step-by-step explanation:

Solve for w. 57 =4w + 13 Simplify your answer as much as possible.​

Answers

Step-by-step explanation:

57=4w+13

57-13=4w

44=4w

w=11

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. In a particular region of a national park, there are currently 330 deer, and the population is increasing at an annual rate of 11% a. Write an exponential function to model the deer population in terms of the number of years from now. B. Explain what each value in the model represents . . Predict the number of deer that will be in the region after five years. Show your work.

Answers

Answer:

Formula : V = I (1 + R)^T  , Deers after 5 years ≈  556

Step-by-step explanation:

Exponential formula for  final value 'v' - for initial value 'i' at growth rate 'r' for a period of time 't'

V = I (1 + R)^T

As per given deer case, I = 330 & R = 11% = 0.11

V = 330 ( 1 + 0.11 )^t

Predicted deers after 5 years, V = 330 (1.11)^5

330 x 1.685 = 556.05

To find the possibilities of side lengths for the third side of the triangle, I must subtract the two sides to find the higher range and I must add the two sides to find the lower range.
True

False

Answers

Answer:

false

Step-by-step explanation:

I'm not sure how to answer this. How you need to do is take the two smaller sides and add them. If they are greater than the largest side, you can make a triangle.

I would say that the statement is false. If you subtract, you could get a minus number, and that would be an absurd result.

Mrs. Brown uses 1/4 package of graph paper for each class. She needs 1 1/2 packages to serve all of her classes. How
many classes does Mrs. Brown teach?

Answers

The answer is 6.
1/4 goes into 1 1/2 6 times. :)

Answer:

I think the answer is 6 sorry if i'm wrong

Step-by-step explanation:

Questions in pic plz help

Answers

Answer:

i think its c

Step-by-step explanation:

Write an equation for the line that passes through
(2,7) and (-1,-8)

Answers

Answer:

slope = 5

y intercept = -3

Equation = y=5x-3

Step-by-step explanation:

-8-7/(-1-2)=5

plug in a point to find y intercept

7=5(2)+b

solve for b

b=-3

write final equation:

y=5x-3

(can I get brainliest please)

answer please?? 50+40+10=

Answers

the answer to this question is 100
100 Is your answer hope it helps

ILL GIVE YOU BRAINLEST PLEASE THIS IS THE ONLY QUESTION I HAVENT ANSWER!

Answers

A and B

Both A and B, when simplified get -(1/6), because the others have either 0 or 2 negative signs, denoting a positive end result.

PLEASE HELP
Find the value of x. Write your answer in simplest radical form, if necessary.

Answers

x^2 = 25^2 - 22^2 <=>

x^2 = 625 - 484 <=>

x^2 = 141 <=>

x = 11.9

The value of 'x' or the length of the base of the triangle is [tex]\sqrt{141}[/tex] units.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know, In right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

The given triangle has a hypotenuse of 25 units and a height of 22 units.

Therefore,

Hypotenuse² = Base² + Height².

Base² = Hypotenuse² -  Height².

Base = [tex]\sqrt{Hypotenuse^2 - Height^2}[/tex].

Base = [tex]\sqrt{25^2 - 22^2}[/tex].

Base = [tex]\sqrt{625 - 484}[/tex].

Base = [tex]\sqrt{141}[/tex].

So, The length of the base is [tex]\sqrt{141}[/tex] units.

learn more about Pythagoras's theorem here :

https://brainly.com/question/10174253

#SPJ2

Use the figure to answer the question.
10 in.
3 in.
What is the area of the shaded portion to the nearest hundredth? Enter the answer in the box.

Answers

The answer is 16.5

You have to find the area of a rectangle, then find the the area of a circle then divide the area of the circle by 2, then subtract the area of the rectangle by whatever you got from dividing the are of the circle.

Can someone please help me out with 15 and 16
If you do just one of them that’d be great.

geometry proofs

Answers

Answer:

Step-by-step explanation:

Find the lengths of all 3 sides of each triangle.

Answers

Answer:

GH=45

HJ=81.6

GJ=53.4

Step-by-step explanation:

hope i helped <3

HELP I need to fine the slope-intercept form. Please it’s a timed assignment I only have two try’s and I already used one

Answers

Answer:

5. y = -1/2x + 6

6.  y = 1/2x + 150

7. y = 10x + 20

8. y = 25x

Step-by-step explanation:

Look at the y-intercept and eliminate the answers you dont need.

Then find the slope of each.

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