Fred's art project involves a series of parallel stripes If he starts by drawing the line 8x + 2y = 7, select all the equations that could represent lines

that could also be drawn for his art project

A. y-1 = 4(X + 8)

B. y = -4x + 15

C. 16x + 4y = 9

D. y=-4X

E. 4x + 2y = 3

Answers

Answer 1

Answer:

B. y = -4x + 15

C. 16x + 4y = 9

D. y=-4X

Step-by-step explanation:

Two lines are parallel if they have the same slope. The equation of a line is:

y = mx + b

Where m is the slope and b is a constant.

So, the slope of the first equation can be calculated solving the equation for y as:

8x + 2y = 7

2y = - 8x + 7

y = -4x + 7/2

So, the slope is -4.

It means that all the equations that could represent lines  that could also be drawn for his art project are the equation with a slope equal to -4.

Then, for every option, we get:

A. y-1 = 4(X + 8)

     y = 4x +32 +1

   The slope is 4

B. y = -4x + 15

    The slope is -4

C. 16x + 4y = 9

    4y = -16x + 9

    y = -4x + 9/4    

    The slope is -4

D. y=-4X

    The slope is -4

E. 4x + 2y = 3

    2y = -4x + 3

      y = -2x + 3/2

   The slope is -2

Finally, the equations that are parallel to the line 8x + 2y = 7 are equations B, C and D


Related Questions

Calculate (full working out)
5.16 x 2.93 =

Answers

The answer is 15.1188

Simplify
[tex] \sqrt[4]{ {5}^{4} } [/tex]
4
5
25
625​

Answers

Answer:

5

Step-by-step explanation:

[tex] \sqrt[4]{ {5}^{4} } \\ = ({5}^{4})^{ \frac{1}{4} } \\ = {5}^{ \frac{4}{4} } \\ = 5[/tex]

Answer:

5

Step-by-step explanation:

SERIOUS MATH HELP PLEAZE
SHOW WORK OR AN EXPLANATION
HELPPPPPPPPPPPP

Answers

Answer:

(X+8)(x-10

Step-by-step explanation:

The middle number is -2 and the last number is -80.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get -2

Multiply together to get -80Try 8 and -10:

8+-10 = -2

8*-10 = -80

Fill in the blanks in

(x+_)(x+_)

with 8 and -10 to get...

(x+8)(x-10)

V2 is equal to + 2 a s derive

Answers

Answer:v² =u²+2aaS​

                                                                                                                                 

But The aquarium charges $12 per ticket for adults and $5per ticket for children. A group of 90 children and adult chaperones visited the aquartum on a held trip. If the total cost of their tickets was $548, how mamy chaperones were there?

Answers

Answer:

There were 76 childrens and 14 adults.

Step-by-step explanation:

Since the group has a total of 90 children and adults, then the sum of the number of adults with the number of children must be equal to 90 as shown below:

children + adults = 90

Since the total cost for their tickets was 548 then the number of children multiplied by the price of their ticket summed by the number of adults multiplied by the price of their ticket must be equal to that. We have:

5*children + 12*adults = 548

With these two equations we have a system of equations shown below:

children + adults = 90

5*children + 12*adults = 548

In order to solve this we will multiply the first equation by -5, and sum both equations we have:

-5*children - 5*adults = -450

5*children + 12*adults = 548

7*adults = 98

adults = 98/7 = 14

children + 14 = 90

children = 90 - 14 = 76

There were 76 childrens and 14 adults.

HEEEEELP I IS TTTTTTIIIIIMMMMMEEEEEDDDD
What is the shape of the cross section of the figure that is perpendicular to the triangular bases and passes through a vertex of the triangular bases?

A triangular prism.
a parallelogram that is not a rectangle
a rectangle
a triangle that must have the same dimensions as the bases
a triangle that may not have the same dimensions as the bases

Answers

Answer:

b

Step-by-step explanation:

Answer:

I dink Bs

Step-by-step explanation:

Four students spoke to the Home and School parents for a total of 2/3 hour. Each student spoke for the same amount of time. How long did each student speak?

Answers

creo que la respuesta el 10 minutos, porque dice "horas" pero no dice a cuantas horas equivale :)      espero que te aya adudado auque sea un poquito

Solve each word problem using either method.
1.
Your parents took your family out to dinner. Your parents wanted to give the waiter a 15% tip. If
the total amount of the dinner was $42.00, what should be paid to the waiter as a tip?
PLEASE HELP

Answers

Answer:

it should be $6.30

Step-by-step explanation:

i put it in 2 different ways:

42x.15 and 42x15% both gave me 6.3

The answer is $6.80

HELP MATH ASAP PLEASE
I WILL GIVE BRAINLEST

Answers

Answer:

The answer is D

Step-by-step explanation:

What is the volume of a sphere with a radius of 41 in, rounded to the nearest tenth of a cubic inch?

Answers

Volume = 288695.6 in³

Step-by-step explanation:

Volume of a sphere is given by

[tex]V = \frac{4}{3} \pi {r}^{3} [/tex]

Where r is the radius of the sphere

From the question

radius = 41 in

Substitute the value into the above formula

We have

[tex]V = \frac{4}{3} \times {41}^{3} \pi[/tex]

[tex] = \frac{275684}{3} \pi[/tex]

= 288695.6097

We have the final answer as

Volume = 288695.6 in³ to the nearest tenth

Hope this helps you

The answer on deltamath is

288695.6 in³

Select all of the following expressions that require use of the distributive property to simplify.
√5(-√2)
√5(√7-√2)
(√5+√2)(-√7)
(3√5)(-7√2)

Answers

Answer:

√5(√7-√2)

(√5+√2)(-√7)

Step-by-step explanation:

The Distributive Property:

a ( b + c ) = ab + ac

Where a, b and c are any real numbers.

The given options the correct expressions that require the use of the distributive property to simplify are √5(√7-√2) and

(√5+√2)(-√7)

Distributive property

Given the integers A, B, and C. According to the distributive property;

A(B + C) = AB + AC

From the expression, you can see that A is distributed over B and C

So for distributive property, there must be a factor and the sum of terms in parenthesis. Based on the given options the correct expressions that require the use of the distributive property to simplify are √5(√7-√2) and

(√5+√2)(-√7)

Learn more on distributive property here: https://brainly.com/question/4077386

2p^2+p-4=0
Can someone please help and show how you did it I am not understanding this thank you so much

Answers

See the attached picture:

A circle has centre (0, 0) and it passes through the point (5, -3)
Find the radius of the circle, in surd form.

Answers

Answer:

radius = [tex]\sqrt{34}[/tex]

Step-by-step explanation:

The radius r is the distance from the centre to a point on the circle.

Use the distance formula to calculate r

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (5, - 3)

r = [tex]\sqrt{(5-0)^2+(- 3-0)^2}[/tex]

  = [tex]\sqrt{5^2+(-3)^2}[/tex]

  = [tex]\sqrt{25+9}[/tex]

  = [tex]\sqrt{34}[/tex]

A square picture with a side length of 4 inches needs to be enlarged. The final area needs to be 81 square inches. Which equation can be used to solve for x, the increase in side length of the square in inches? x2 + 4x – 81 = 0 x2 + 4x – 65 = 0 x2 + 8x – 65 = 0 x2 + 8x – 81 = 0

Answers

Answer:

C) x2 + 8x – 65 = 0

Step-by-step explanation:

just took it :)

Answer:

c

Step-by-step explanation:

What is 2/3 ÷ 4/5 = ?

Answers

Answer:

5/6

Step-by-step explanation:

2/3 ÷ 4/5 =                ⇒  changing division to multiplication by reciprocal of the second fraction2/3 × 5/4 =                ⇒  simplify and multiply numerators and denominators5/6                           ⇒  here is the answer

100 PTS:Please help me now plz plz I promise I will mark you brainliest

Answers

Answer:

[tex] \cos \beta = \dfrac{8}{17} [/tex]

Step-by-step explanation:

[tex] \cos A = \dfrac{adj}{hyp} [/tex]

For angle beta, adj = BC = 8, and hyp = AB = 17

[tex] \cos \beta = \dfrac{adj}{hyp} [/tex]

[tex] \cos \beta = \dfrac{BC}{AB} [/tex]

[tex] \cos \beta = \dfrac{8}{17} [/tex]

Answer:

Cos B = 8/17

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos B = adjacent/ hypotenuse

Cos B = 8/17

-3(x + 4) = 6(-x - 1)

Answers

Answer: x = 2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

-3(x+4)=6(-x-1)

1. Distribute

-3x+(-12)=-6x-6

-3x-12=-6x-6

3x-12=-6

3x=6

x=2

Please people help me

Answers

Answer:

C. 8.06

Step-by-step explanation:

You can use the pythagorean theorem to find that the length of the hypotenuse of this triangle is [tex]\sqrt{7^2+4^2}=\sqrt{49+16}=\sqrt{65}\approx 8.06[/tex]. Hope this helps!

Answer: C

Step-by-step explanation:

7^2 +  4^2 =c^2

49 + 16 =c^2

65=c^2

c= 8.06  

can someone please help me i don’t get this at all!?

Answers

She bought N pencils last month for 288, as the amount is in pennies. This month she bought N+12 for 720.

288/N = 720 / (N+12)
288(N+12) = 720N
288N + 3456 = 720N
3456 = 720N - 288N
3456=432N
N=8

She bought 8 pencils last month for 288, which is 36 cents each. And she bought 20 pencils this month for 720 which is 36 cents each. Hope this helped :)

the company shows that its median listing is $150,000. if the range of the listings is $50,000, is it possible for the company to have a house listed for $200,000?

Answers

Answer:

no

Step-by-step explanation:

Unit 6. 2) Please help. What is the probability that a student is absent given that today is Monday?

Enter your answer as a fraction in simplest form, formatted like this: 3/14

Answers

Answer:

Let's denote:

The probability that today is Monday: P(A)

The probability that a student is absent: P(B)

The probability that a student is absent given that day is Monday: P(B|A)

As given,

P(A intersect B) = 3/100

P(A) = 1/5

=> P(B|A) x P(A) = P(A intersect B)

=> P(B|A) = P(A intersect B)/P(A)  = (3/100)/(1/5) = 15/100 = 3/20

Hope this helps!

:)

Which equation is true for x = –6 and x = 2?

2x2 – 16x + 12 = 0
2x2 + 8x – 24 = 0
3x2 – 4x – 12 = 0
3x2 + 12x + 36 = 0

Answers

Answer:

2x2 + 8x – 24 = 0

Step-by-step explanation:

[tex]2 {x}^{2} + 8x - 24 = 0 \\ lhs \\ =2 {x}^{2} + 8x - 24 ..(plug \: x = - 6) \\ 2 {( - 6)}^{2} + 8( - 6) - 24 \\ = 72 - 48 - 24 \\ 72 - 72 \\ = 0 \\ = rhs \\ \\ lhs \\ =2 {x}^{2} + 8x - 24 ..(plug \: x = 2) \\ 2 {( 2)}^{2} + 8( 2) - 24 \\ = 8 + 16 - 24 \\ 24 - 24 \\ = 0 \\ = rhs \\ [/tex]

It’s will be 2x2 + 8x - 24 = 0 !!!

Please help me I’m about to break down

Answers

Answer:

the answer would be <RSV &<TSV

Answer:

RSV and TSV

Step-by-step explanation:

Supplementary angles are those that add to 180 degrees

RSV and TSV form a straight line so they add to 180

They are complementary angles

If a set of data has a mean of 22 and a standard deviation of 6.5, what would be the amount that is one standard deviation lower than the mean?
Your answer

Answers

Answer:

Could u help me with my question

Step-by-step explanation:

A square unit that is 1 unit wide and 1 unit long is a?

Answers

Answer:

A square with side length 1 unit, called 'a unit square,' is said to have 'one square unit' of area, and can be used to measure area.

A relation where every input has one and only one output is called what?

Answers

A relation has an input value which corresponds to an output value. When each input value has one and only one output value, that relation is a function. Functions can be written as ordered pairs, tables, or graphs.

Which of the following numbers is not a rational number? -3 2.7 √4 √5

Answers

Answer:

[tex]\sqrt{5}[/tex]

Step-by-step explanation:

x
[tex] {x}^{2} - 12x + 36 = 0[/tex]​

Answers

My answer for x is 6
i got 6 hope it’s right

Mia agrees to borrow a 3-year loan with 4% simple interest to buy a motorcycle. Part A If Mia will pay a total of $444 in interest, how much money did she initially borrow?

Answers

Answer:

$3700

Step-by-step explanation:

To find how much Mia borrowed, we simply need to use the Simple Interest formula:

I = (P * R * T) / 100

Where I = interest

P = principal or amount borrowed

R = rate of interest

T = time taken (in years)

Mia agrees to borrow a 3-year loan with 4% simple interest and she will pay a total of $444 in interest. Therefore:

444 = (P * 4 * 3) / 100

444 = 12P / 100

444 * 100 = 12P

=> P = (444 * 100) / 12

P = $3700

Therefore, she initially borrowed $3700 .

never mind LOL i got it

Answers

Answer:

C.

Step-by-step explanation:

Adjacent / Hypotenuse = 24 / 25

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