1.
Which statement best describes the graph of the
linear equation 2x + 2y = 2
A. The graph has a slope of 1 and a y-intercept
of 2.
B. The graph has a slope of 1 and a y-intercept
of 1
C. The graph has a slope of -1 and a y-intercept
of 2.
D. The graph has a slope of -1 and a y-intercept
of 1

Answers

Answer 1

Given:

The linear equation is:

[tex]2x+2y=2[/tex]

To find:

The statement that best describes the graph of the given linear equation.

Solution:

The slope intercept form of a linear function is:

[tex]y=mx+b[/tex]            ...(i)

Where, m is the slope anf b is the y-intercept.

We have,

[tex]2x+2y=2[/tex]

It can be written as:

[tex]2y=2-2x[/tex]

[tex]y=\dfrac{2-2x}{2}[/tex]

[tex]y=1-x[/tex]

[tex]y=-x+1[/tex]             (ii)

On comparing (i) and (ii), we get

[tex]m=-1,b=1[/tex]

Therefore, the graph has a slope of -1 and a y-intercept of 1. Hence option D is correct.


Related Questions

find the total surface area of the shape

Answers

Answer:

510 ft²

Step-by-step explanation:

in the triangle

base (b) = 5 ft

height of the triangle (h1) = 12 ft

height of the prism = 15 ft

Now

Lateral surface area (LSA)

= perimeter of triangular base * height

= ( 13 + 5 + 12) * 15

= 450 ft²

Total surface area

= LSA + 2 * area of triangular base

= 450 + 2 * 1 / 2 * b * h1

= 450 + 5 * 12

= 450 + 60

= 510 ft²

Hope it will help :)❤

f(x) = 2x2 + 12x + 16

Answers

Answer:

[tex]x=-2;x=-4[/tex]

Step-by-step explanation:

The solution of the quadratic equation f(x) = 2x² + 12x + 16 will be negative 2 and negative 4.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The function is given below.

f(x) = 2x² + 12x + 16

The root of the equation will be given as,

f(x) = 0

2x² + 12x + 16 = 0

x² + 6x + 8 = 0

x² + 4x + 2x + 8 = 0

x(x + 4) + 2(x + 4) = 0

(x + 4)(x + 2) = 0

x = -2, -4

The solution of the quadratic equation f(x) = 2x² + 12x + 16 will be negative 2 and negative 4.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

plssss help

use multiplication to solve the proportion​

Answers

Answer:

Its 7.333333333333333333  (3 forever)

First you isolate y onto one side of the equation

y/9= 44/54  -->  y = 9 x 44/54

Multiply the right side of the equation

9 x 44/54 = 396/54

Now divide to get the whole answer

396/54 = 7.3333333333 (3 forever)

y = 7.333333

It is 1/2 mile from a student's home to a store and back. In a week, she
walked to the store and back home 1 time. In the same week, she rode her
bike to the store and back 3 times. How many miles did she walk and ride
to the store and back in that week? *

Answers

Answer:

2 miles

Step-by-step explanation:

Given that :

Distance from home to store and back = 1/2 mile

In a week :

Number of times he walked from home to store and back = 1 time

Number of times she rode to store and back = 3 time

Note distance does not change whether she rode or walked:

Hence,

miles walked = 1/2 miles * 1 = 1/2 miles

Miles biked = 1/2 miles * 3 = 3/2 miles

Total Number of miles :

(1/2 + 3/2) = (1 + 3) /2 = 4/2 = 2 miles

Jack paid $4:00 for 6 pounds of apples. What is the ratio of the price of apples to the pounds of apples?​

Answers

Answer:

you get 1.5 pounds of apples per dollar (1 pound and 8 ounces)

Step-by-step explanation:

6 and 4 will not work so we need to use decimals

since we have a gap of two, we need to be able to use it four times

2=0.5

1.5 x 4 = 6

or we could just divide it... never mind forget it

your answer is 1.5 pounds of apples per dollar

Answer:

The ratio of the price of apples to the pound of apples: 2:3

Step-by-step explanation:

4:6

divide by 2

2:3


A square has a diagonal with the length of 8V7 inches. What is the length of the
sides?

Answers

Answer:

approximately 13.9 inches

Step-by-step explanation:

That's 8√6, not 8V7.

The four sides are of the same length (x).  According to the Pythagorean Theorem, x² + x² = (diagonal length)² = (8√6)², or

2x² = 64(6) = 384

Dividing both sides by 2, we get:

x² = 192, or x² = 4(48).  Then the side length is x = √16√12, or

x = 4√4√3 = 8√3.  This is approximately 13.9 inches.

Simplifying Fractions
 Simplify each fraction to its lowest terms.


1) 9 =
18

8) 4 =
16


15)

21 =
63



2) 8 =
10

9) 18 =
36

16)

30 =
84



6
3) =
8

6
10) =
42

50
17) =
125



4) 5 =
20

13
11) =
39

72
18) =
108



18
5) =
24

21
12) =
28

49
19) =
112



6
6) =
9

12
7) =
15


63
13) =
77

36
14) =
40





4

240
20) =
320

120
21) =
150

Answers

Answer:

1)1/2

8)1/4

15)1/3

2)4/5

9)1/2

16)17/40

3)3/4

10)1/7

17)2/5

4)1/4

11)1/3

18)2/3

5)3/4

12)3/4

19)7/16

6)2/3

7)4/5

13)9/11

14)9/10

20)3/4

21)4/5

I tried (in your order and replace / with = if you want)

Convert the following angle from degrees to radians. Express your answer in simplest
form.
360°

Answers

Answer:

360° 2π rad 6.283185 rad

What is the slope ( in simplest form) of the line through the points (-4,2) and (-16,-6)?

Answers

Answer:

2/3

Step-by-step explanation:

Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]

(-4,2) = (x1,y1)

(-16,-6) = (x2,y2)

Slope = [tex]\frac{-6-2}{-16+4}[/tex]

          = [tex]\frac{-8}{-12}[/tex]

          = [tex]\frac{2}{3}[/tex]

         

Joseph went to the store to buy something. After they changed him 6% tax, he ended up paying $4.24 for his item. Find the original price of what Joseph bought.

Answers

The original price was 4 dollars

A gardener digs a flower bed that is 8 meters long and a meter wide. what is the area of the flower bed

Answers

8 meters

To calculate area you multiply length x width. So, 8 x 1 = 8

If x2 + 12x + n is a perfect square trinomial,
then n =?

Answers

Answer:

The answer is n=36 Hope this helps^_^

Step-by-step explanation:

plz give brainliest and rating

Write an expression for the perimeter of the square. SIMPLIFY your answer​

Answers

Answer:

P=16x-20

Step-by-step explanation:

The perimeter of a square can be found by adding up all the sides, and since it is a square we know that all the sides are the same. So we get P=4(4x-5), then we distribute the 4, and are left with the equation P=16x-20.

Simplify the expression by applying the distributive property and then combining like terms
5(2 + 5) +9
+

Answers

5x+34 Hope this helps

The cookie-stacking competition is a tradition at Westhaven's annual summer festival, and Bert is helping to set it up this year. The first contestant who creates a single stack using all of their cookies wins a prize! After Bert split all the cookies he had evenly among 4 contestants, each contestant got 24 cookies.

Answers

Answer:

is this the full question?

Step-by-step explanation:

is this a supplementary angle or a complementary angle or neither?? number 1

Answers

Answer:

its neither

Step-by-step explanation:

supplementary means the angles would equal 180° and complementary means the Angel's would equal 90°

in this case the angles equal to neither.

Answer:

1.neither

as there sum =56+142=198°

3.supplementary

sum =57+123=180°

constant preportionality y = - 15 / -5

Answers

Answer:

k = 15

Step-by-step explanation:

Answer:

k=15

Step-by-step explanation:

the equation of 2 quantities in direct proportion is

· y=kx. k is the constant of variation

y = 15x is the form

With k=15

please help lol im confused i dont know why but please help

Answers

Answer:

No, but if it was how many studens school like math then yes

in Step-by-step explanation:

2. Three states of matter exist - solid, liquid, and gas. Which of the following are the common properties of liquid?
А It has no definite shape or volume
В. It has definite shape and no definite volume,
С. It has a definite shape and has definite volume
D It has a definite volume but take the shape of the container

Answers

Answer:

I am gonna say D for this one

Answer:

A

Step-by-step explanation:

water has yet to be formed. its molecules move around like crazy so it stays a liquid.

evaluate (1/2)^4 in a whole number

Answers

[tex]\huge\red{\boxed{\tt{\colorbox{pink}{ANSWER:}}}}[/tex]

[tex] \frac{1}{16} [/tex]

[tex]\huge\red{\boxed{\tt{\colorbox{pink}{Solution:}}}}[/tex]

[tex]( \frac{1}{2}) {}^{4} \\ = \frac{1 {}^{4} }{2 {}^{4} } \\ = \frac{1}{2 {}^{4 } } \\ = \frac{1}{16} [/tex]

꧁____❀EDILYN❀____꧂

PLEEEASE HELP! TEST TMRW AND I MIGHT FAIL.

Answers

7. 36c^2 - 20c^2 - 32c
8. 5y^2 + 17y - 12
9. 5s^3 + 32s^2 - 13s - 10
10. 16p^2 - 1
11. w^2 - 10w + 25
12. 4b^2 + 12b + 9

have a wonderful day! if you need me to explain the steps for all of them in the comments! :)

find the length of the unknown side round your answer to the nearest whole number 18 and 4

16.5

17.5

18.5

22.0

Answers

Answer:

17.5

Step-by-step explanation:

90% sure

How much of a radioactive kind of niobium will be left after 105 days if you start with 3,920 grams and the half-life is 35 days?

Answers

Answer:

"490 grams" would be the correct solution.

Step-by-step explanation:

The given values are:

Half time,

T = 35 days

Total time,

t = 105 days

As we know,

⇒ [tex]A=A_o(\frac{1}{2} )^{\frac{t}{T} }[/tex]

On substituting the values, we get

⇒     [tex]=3920\times (\frac{1}{2})^{\frac{105}{35} }[/tex]

⇒     [tex]=3920\times (0.5)^3[/tex]

⇒     [tex]=3920\times 0.125[/tex]

⇒     [tex]=490 \ grams[/tex]


The tires of an automobile have a diameter of 22 inches. If the wheels revolve ten times, how
far does the automobile move? (Round the result to the nearest tenth of a foot.)

Answers

222inches I’m not shure but use photo math for the answer

Jasper's Pizzeria made 10 pizzas. 2 of the pizzas had pepperoni. What is the ratio of the number of pizzas without pepperoni to the number of pizzas with pepperoni?

Answers

Answer:

The ratio of pizzas with to without pepperoni is 8:2

Step-by-step explanation:

I hope this helps more than that person with the link!

HELP me pleaseeeee this is a hard question for me

Answers

Answer:

maybe its c?

Step-by-step explanation:

A washer and a dryer cost $774 combined. The washer costs $76 less than the dryer. What is the cost of the dryer?

Answers

Answer:

The dryer costs 425 dollars

Step-by-step explanation:

x - washer

y - dryer

x+y=774

x=y-76

(y-76)+y=774

2y=774+76, 2y=850

y=425

y-76=x

425-76=x

x=349

be smart help me please i’m bout to throw a fit

Answers

Answer:

I would say 1/4 of a chance

i would choose 1/4 percent chance

i need help on this pls

Answers

Answer:

Hello!

1 on the left in vertical and 1 on the right is adjacent hope that helps.

A car rental company charges $34 per day for a rented car and $0.50 for every mile driven. A second car rental company charges $20 per day and $0.75 for every mile driven. What is the number of miles at which both companies charge the same amount for a one-day rental?

A.
56 miles

B.
54 miles

C.
36 miles

D.
24 miles

Answers

Answer:

B 2/3

Step-by-step explanation:

:)

First you want to make the equations for finding the total price of each rental car. We will say that x is the number of days and y is the number of miles. We will say the price for the first company is A = 34x + 0.50y and the second company is B = 20x + 0.75y. We want to find y where 34x+0.5y = 20x+0.75y and x=1. You should get 56 miles
Other Questions
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