Which equation represents a line that is parallel to the line represented by

4x + y = 7 and passes through the point (1, 8)?

Answers

Answer 1

Answer:

y = -4x + 12

Step-by-step explanation:

For a line to be parallel, it needs to have the same slope.

Point intercept form: y - y₁ = m (x - x₁)

Where y and x are just kept as y and x, y₁ and x₁ are the parts of a coordinate, and m = slope.

So, in order for the line to be parallel, it needs to have the same slope as the first equation. The slope of the line (which is the "m" in y = mx + b) is..

4x + y = 7

y = -4x + 7

So, m, or the slope, is -4.

Plug this, along with the coordinate the problem gives you into point-intercept form.

y - y₁ = m (x - x₁)

y - 8 = -4 (x - 1)

Simplify.

y - 8 = -4x + 4

Add 8 to both sides.

y = -4x + 12


Related Questions

consider the system of equations
y = 2/3 x + 1
y = x
what is the solution to the system?
A. (0,0)
B. (0,1)
C. (1,1)
D (3,3)

Answers

Answer:

Use your resources wisely

Step-by-step explanation:

Answer:

[tex] \frac{2}{3} x + 1 = x \\ \frac{1}{3} x = 1 \\ x = 3 \\ y = 3[/tex]

X=3,y=3

Multiplying special cases of polynomials


1. (x + 5)(x − 5)

a) x2-2x−25
b) x2−25
c) x2+2x−25

2. (n − 1)(n + 1)

a) n2 − 2n -1
b) n2 − 1
c) n2 − 2n +1

3) (p − 1)2

a) p2 − 2p +1
b) p2 − 2p -1
c) p2 + 2p +1

4. (x − 4)2

a) x2 − 8x -16
b) x2 − 16
c) x2 − 8x +16

5. (n + 3)2

a) n2 + 6 n - 9
b) n2 - 6 n + 9
c) n2 + 6 n + 9

6.-(2 + v)2

a) 4 + 4v + v2
b) v2 + 4v +4
c) v2 + 4

Answers

Answer:

1) b) x2−25

2) b) n2 − 1

3) a) p2 − 2p +1

4) c) x2 − 8x +16

5) c) n2 + 6 n + 9

6) b) v2 + 4v +4

Step-by-step explanation:

1. (x + 5)(x − 5) = x^2 - 25

2. (n − 1)(n + 1) = n^2 - 1

3) (p − 1)^2 = p^2 - 2p + 1

4. (x − 4)^2 = x^2 -8x + 16

5. (n + 3)^2 = n^2 + 6n + 9

6. (2 + v)^2 = v^2 + 4v + 4

principal = $200
interest rate = 4%
time = 2 years

Answers

Answer:

200÷0.4= the amount then times by 2

Step-by-step explanation:

i believe thats how that works

Help me with this please!!!!

Answers

Answer:

yes

Step-by-step explanation:

it said it is a perpendicular BISECTOR, H is the mid point of KI, HK = 7

[tex]\huge{\underline{\underline{\boxed{\sf{\red{Answer࿐}}}}}}[/tex]

Yes!

Help plz!!!!!!! Help plzzzz!!!!!!

Answers

-2 = 0.12
-1 = 0.6
0 = 3
1 = 15
2 = 75

A grocery store buys items and then applies a markup of 70%. What is the retail price of item that originally costs $10?

Answers

Answer:

$17.00

Step-by-step explanation:

10 x 1.70 = $17.00

Answer:

The retail price is $17.00

Step-by-step explanation:

Benjamin has enough icing to cover a 1/2-square-foot cake. He wants to use the icing to cover 2 equal-sized cakes. Which expression shows the size of each of two cakes that Benjamin can cover with the icing? A- 1/2 divided by 2 B- 2 divided by 1/2 C- 2 times 1/2 D- 1/2 divided by 1/2

Answers

Answer:

b

Step-by-step explanation:

To determine the size of each of the two cakes that can be covered with icing, he would divide the number of cakes by the amount of icing

2 ÷ [tex]\frac{1}{2}[/tex]

Choose the system of equations to solve the following: Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased 8 tickets for $52.75. Determine the total number of adult and student tickets. *

A: 7.25a + 5.50s = 8 and a + s = 52.75
B: 7.25a + 5.50s = 52.75 and a + s = 52.75
C: 7.25a + 5.50s = 52.75 and a + s = 8

Answers

UMMMMMMMMMMMMMMM I don't know

+
deltamath.com/student/solve/13017914/trig Findside 1
watch help video
In ATUV, the measure of _V=90°, the measure of ZT=66°, and TU = 93 feet. Find
the length of VT to the nearest tenth of a foot.
U
93
660
T
V
X

Answers

Answer:

VT = 37.8 ft

Step-by-step explanation:

Here, we want to get the measure of VT

We need the diagram of the triangle here

We can get this in the attachment

From the diagram, we have it that the hypotenuse is the length UT since it faces the right angle

VT does not face the given angle , nor the right angle; this mean VT is the adjacent

Mathematically, the trigonometric ratio that connects the adjacent to the hypotenuse is the cosine

Thus;

cos 66 = VT/UT

cos 66 = VT/93

VT = 93 * cos 66

VT = 37.83

To the nearest tenth of a foot, VT = 37.8 ft

What integer makes this equation true? -2 + X = 10

Answers

Answer:

12 I think

Step-by-step explanation:

hope this helps

Answer:

the answer is 12

Step-by-step explanation:

your welcome

distance between (-1,1), (-1, 7)? no need for explanation i just wanna see if my work is right before i turn it in

Answers

Answer:

6

Step-by-step explanation:

use M a t h w a y

Answer:

hey, so on that one guys odd question, you asked how to unfollow people

Step-by-step explanation:

if you go to your profile, where it tells your username, and bio and all that, and click on following. Find his account in the following list and click the little icon on the right! it should change to a different symbol :D Please stay safe girly!

The sculpture consists of four identical prisms. Jane says the surface area of the sculpture is 4 times the surface area of one prism. Which statement about jane's method is true?

Answers

Options:

A.) Jane should multiply volumes, not areas.

B.) Jane should also subtract the areas of six hidden surfaces.

C.) Jane should also add the areas of six hidden surfaces.

D.) Jane is correct.

Answer:

B.) Jane should also subtract the areas of six hidden surfaces.

Step-by-step explanation:

When three-dimensional solids are joined together to form a solid, some surfaces will be visible while others won't.

When calculating the surface areas of such shapes, we only consider the visible parts (i.e. the areas of the hidden parts will be subtracted from the total areas of the individual shapes).

Since the sculpture is not attached to this question, we can assume that there are 6 hidden surfaces (as suggested by the options). The areas of these 6 hidden surfaces must be subtracted to get the actual surface area.

Answer:

Jane should also subtract the areas of six hidden surfaces.

Step-by-step explanation:

I just did it on Imagine Math

A total of 50,000 contestants are chosen for a survey. A
computer randomly eliminates 20% of the participants
each day.
Which function models the survey?

Answers

Answer:

you are correct do not say any other answer

Answer:

The answer is either

y=50000 x 0.8^x

or

y=50000(20%)^x but this just seems wrong

Step-by-step explanation:

Solve Each system using elimination

Answers

Answer:

No solution

Step-by-step explanation:

The given system of equations are ,

3x - y = -1 y = 3x - 5 = y-3x = -5

Adding both equations ,

=> 3x - y + y -3 x = -1-5

=> 0 = -6

Since we arrived at a contradiction the given pair of equations have No solution .

Does anyone know? Thank you!

Answers

4/3 and 6/5 set me as brainlyest plz

Answer:

4/3

if you put all of the fractions in decimal form 4/3 is the most because it equals 1.25

There are _______ kilometers in 5,000 centimeters.

Answers

There are 0.05 kilometers in 5000 centimeters

round to nearest hundredth :3,353

Answers

Answer:

3,000

Step-by-step explanation:

Since the next number is less than 5 you round down

if x= 0, 2,-2 find the value of x3-1 help plz ​

Answers

when x =0

[tex]0 {}^{3} - 1 = 0 - 1 = - 1[/tex]

When x =2

[tex]2 {}^{3} - 1 = 8 - 1 = 7[/tex]

when x =-2

[tex]( - 2) {}^{3} - 1 = - 8 - 1 = - 9[/tex]

What is the missing value in the table below?

Answers

Answer:

11

Step-by-step explanation:

PLS HURRY AND HELP
Darren had 3 apples represented by the variable (a) . He went to the store and bought 6 more apples to make a pie . Then his little brother Keith came into the kitchen and ate 2 of the apples. Write an expression to show how many Derran is left with.

Answers

Answer:

a + (6 -2)

I'm not completely sure, but I hope this helps.

AABC is dilated by a factor of 4 to produce AA'B'C'.

What is A'C, the length of AC after the dilation? What is the measure of ZA?

Answers

Answer:

A

Step-by-step explanation:

because the sky is blue

The length of AC after dilation will be 20. Then the measure of the angle ∠A' will be 37°.

We have given that,

AABC is dilated by a factor of 4 to produce AA'B'C'.

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

The triangle ΔABC is dilated by a factor of 4 to produce the triangle ΔA'B'C'.

Then the length of AC after dilation. We have

A'C' = scale factor x AC

A'C' = 4 x 5

A'C' = 20

Then the measure of the angle ∠A' will be

There is no effect of dilation on the angle.

∠A = ∠A' = 37°

Thus, the correct option is A.

More about the dilation link is given below.

brainly.com/question/2856466

#SPJ5

Solve for x: 5x = 2/7

Answers

5x=5=2/7 divided by 5

X=2/7 x 1/5

X=2/35

X=0.0571428

Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
1, 3, 5, ...

Answers

Answer:

it is an arithmetic sequence, common difference is 2

Arithmetic: uses properties of addition
Geometric: uses properties of multiplication

1 + 2 = 3 + 2 = 5
This sequence is Arithmetic

Arithmetic uses common different: how much the number goes up by each time; rate of change

The common difference is 2

Can someone help me please
I will give Brainiest
Don’t need to show work

Answers

Answer:

24

Step-by-step explanation:

Do tell me if you ever change your mind and want me to show work :)

Write an equivalent expression for b + b + b + r

Answers

Answer:

b3+r

Step-by-step explanation:

Answer:

3b + r

Step-by-step explanation:

Combine like terms to simplify this expression.  Note that b + b + b = 3b.

Thus, the given b + b + b + r condenses to 3b + r.

what is the gcf (greatest common factor) of 9/45​

Answers

Answer:

9: 1,3,9

45: 1, 3, 5, 9, 15, and 45

Step-by-step explanation:

So the gcf is 9

Answer:

9

GCF of 9 and 45 is 9

Step-by-step explanation:

The greatest common factor of two numbers x and y is the greatest number that divides x and y leaving the remainder as 0

We can find the GCF of 9 and 45 by the following methods.

GCF of 9 and 45 by Listing the Common Factors Method

GCF of 9 and 45 by Prime Factorization Method

What is the domain of the function y= (square root) x+4

Answers

Answer:

0 ≤ x ≤ ∞

Step-by-step explanation:

Square roots always need to be either equal to or greater than zero because it should be positive inside (unless we're working with imaginary numbers).

So the domain would be that x ≥ 0 (or the third choice ⇒ 0 ≤ x ≤ ∞).

I need hel asap. PLEASE I WILL GIVE BRANLIEST

Answers

Answer:

x=12

Step-by-step explanation:

30/25=x/10

x=30×10/25

x=12

trigonometry please help! work need to be shown

Answers

Answer:

x = 5.56

Step-by-step explanation:

Apply trigonometric function to find x

Reference angle = 46°

Hypotenuse = 8

Adjacent length = x

Apply CAH:

Cos 46 = Adj/Hyp

Cos 46 = x/8

8 × Cos 46 = x

5.55726696 = x

x = 5.56 (nearest hundredth)

Mila buys a two liter soda bottle. She accidentally drops the soda bottle and spills 287 milliliters of soda. How much soda is left?

Answers

Answer:

1713 milliliters

Step-by-step explanation:

1 liter is 1000 milliliters, so 2 liters is equal to 2000 milliliters.

2000 mL - 287 mL = 1713 mL

So 1713 mL are left.

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