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

A tree house has a rectangular floor with a perimeter of 246 inches and a length of 48 inches.

What is the width of the floor?

Answers

Answer:

75 inches

Step-by-step explanation:

First, the perimeter of a rectangle is 2(length)+2(width). The length and total of the perimeter was given to us, so the equation looks like 2(48)+2(w)=246

96+2w=246 (multiply and add where you can on both sides)

2w=150 (get all of the variables on one side and the numbers on the other)

w=75  (simplify to get your final answer)

width is 75 inches. [make sure to add the units!]

(お役に立てれば)


f(x) = 2x - 3 and f(x) = f'(x), find the value of x.​

Answers

Answer:

x=1

Step-by-step explanation:

According to your typed question,

f(x)=2x-3

Let f(x)=y

y=2x-3

Now,

Interchanging the positions of x and y

x=2y-3

x+3=2y

x+3/2=y

f'(x)=x+3/2

Then,

f(x)=f'(x)

2x-3=x+3/2

2(2x-3)=x+3

4x-3=x+3

4x-x=3+3

3x=3

x=3/3

x=1

According to your image question,

f(x)=x/2x-3

f(x)=f'(x)

Now,

Let y=f(x)

y=x/2x-3

y(2x-3)=x

2xy-3=x

2xy-x=3

x(2y-1)=3

2y-1=3x

2y=3x+1

y=3x+1/2

f'(x)=3x+1/2

Then,

f(x)=f'(x)

x/2x-3=3x+1/2

2x=6xsq+2x-9x+3

2x=6xsq+7x+3

solve for x ok


Help me please!!!!!

Answers

Answer:

A & B

Explanation:

A:
x = -x + x + 0 + x
x = 0 + x
x = x

B:
x = 0 + (x + 0)
x = x + 0
x = x

Please help with this math question (Attached screenshot)

Answers

I coudnt attach it here use ik.3/ .. to see the answer gd kick

Answer:

a) its the secod=nd option (12/x<15000)

b) at least 1250 rides are needed

Step-by-step explanation:

10 minus what gives you 13.3

Answers

10 minus negative 3.3 gives you 13.3

i put the image of the question, PLS HELP

Answers

Answer:

A translation is when you move in a direction but the shape doesn't turn or change.

You translate an image by moving a shape in any direction without turning it for example: *draw a shape* then move it to anywhere but don't turn the shape.

An easy way of finding the new coordinates is just by looking to which respect it's too. For example when you do a respect to the y axis you keep the second number in the coordinate pair and change the first number's sign in the coordinate pair same to the x axis.

It depends on their sign. Change in x-coordinate. Change in y-coordinate. Right. Increases. No Change. Left. Decreases. No Change. Up. No Change. Increases. Down. No Change. Decreases .

We use vectors to represent a translation. Which means we need direction (up, down, left, or right) and magnitude (length of units).

please help and fast!

Answers

The first one 7x+15.50=100

R and E + reeeeeeeee

Answers

Answer:

reeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

helpppppp meeeeee!!!

Answers

The answer is A. -8 I got you!!!!!

help por favor and ill love you forever <33

Answers

Answer:

B

Step-by-step explanation:

the second option!

Answer:

It would be 360/n

Step-by-step explanation:

Every shape's exterior angles must combine to form a 360* shape (meaning "full-circle" even though they are not circles). So you must divide 360 by the number of angles a shape has.

Ex #1: A Square has four angles, so the equation to finding the degrees of each exterior angle is 360/4, which equals 90. So 90* per exterior angle.

Ex #2: A Decagon has 10 angles, so the equation to finding the degrees of each exterior angle is 360/10, which equals 36. So 36* per exterior angle.

What is the largest Angle of BCD?

Answers

Answer:

< C

Step-by-step explanation:

because 23 is the largest number on the triangle so the angle opposite of that side would be C

PLZ HELP WILL GIVE BRAINLIST!!!

Answers

-1.56, -0.98, -0.13, -0.1, 0.5, 0.93

Answer:

-1.56, -0.98, -0.13, -0.1, 0.5, 0.93

Step-by-step explanation:

pls help i am confused no links

Answers

Answer:

x = 20

Step-by-step explanation:

These angles are equal to each other because they are vertical angles.

Hence, we can equal the two measurements together to solve for x:

3x + 50 = 6x - 10

3x + 60 = 6x

60 = 3x

20 = x

Check your work:

3(20) + 50 = 6(20) - 10

60 + 50 = 120 - 10

110 = 110

Correct

Find the measure of angle B

Answers

Answer:

64°

Step-by-step explanation:

Angles in a straight line add up to 180° so 180° - 116° = 64°

A box has a square base with each side measuring 8 inches. The height of the box is 4 inches. What is the surface area of the box in cubic inches?

Answers

Answer:

The surface area should be 256 cubic inches

Step-by-step explanation:

The equation you use to find surface area is A=(wl+hl+hw)*2. The w stands for width (8) the l stands for length (8) and the h stands for height (4). When we put these numbers into the equation we get A=(8·8+4·8+4·8)*2. We do the multiplication first, then we add all of them up and times by 2; this gives us our answer of 256.

hope this helps:)

plz can i get brainliest.

Pls help meeeeeeeee will give BRAINLIEST

Answers

d.) 4r+13b+16

hope this helps. :)

Simply combining like terms:21b-32+7b-20b​

Answers

Answer:

8b-32

Step-by-step explanation:

21b-32+7b-20b

=21b+7b-20b-32

=8b-32

I NEED HELP WITH THIS

Answers

Answer:

180-130=50°

Step-by-step explanation:

answer is 50degrees

The answer is 50 degrees

What is the measure of the missing angle

Answers

Answer:

40 degrees!

Step-by-step explanation:

95 + 45 = 140

180 - 140 = 40

what is the mean of this set of numbers? 8,12,10,9,12,9,11,9​

Answers

Answer:

10

Step-by-step explanation:

You add all the numbers and then divide by the amount of numbers (in this case, 8)

Answer:

Step-by-step explanation:

Mean is average

Add all numbers up

Then divide by the amount of numbers (8)

thats the mean

Hi I need help please.
If a rectangular model of a building with dimensions of 5x3x10 represents an actual building with a scale factor of 12, what are the dimensions of the actual building?

Answers

Answer:

60x36x120

Step-by-step explanation:

Because the scale factor is 1:12, you multiply the dimension of the building by 12.

PLEASE HELP! I MARK YOU BRAINLEST!
Solve for unknown values.

X= degrees

Y= degrees

Answers

Answer:

X = 85°

Y = 45°

Step-by-step explanation:

95° + x = 180° [angles on a straight line]

x = 180° - 95°

x = 85°

50° + x + y = 180° [sum of angles in a triangle]

50° + 85° + y = 180°

135° + y = 180°

y = 180° - 135°

y = 45°

x=85.
It is complementary to 95 (add together to 180)

y= 180-50-85 = 45.
The sum of the interior angles of a triangle is 180.

Emma and her 3 friends were thirsty, so she shared One-half gallon of lemonade equally among 4 people. How much lemonade did each person get?

One-half divided by 4 =

Answers

Answer:

[tex]\frac{1}{8}[/tex] gallon per person

Answer:

yeah what mya said 1/8

Step-by-step explanation:

gl

Help, please! I will try to give you Brainliest when you get it right.

Answers

Step-by-step explanation:

a) x + 14 + 3x = 90b) <1 = 33°<2 = 57°

As,

x + 14 + 3x = 90 [Complementary Angles]

=> 4x = 90 - 14

=> 4x = 76

[tex] = > x = \frac{76}{4} [/tex]

=> x = 19

Hence,

<1 = x + 14°

= 19 + 14 = 33°

<2 = 3x

= 3 × 19° = 57°

For an art project, you are using a piece of cloth that is cut out in the shape of a right triangle. Find the area of the cloth. A triangle with side lengths 6 inches, 6 inches, and 8.5 inches.

Answers

Answer:

[tex]A=17.99\ in^2[/tex]

Step-by-step explanation:

Given that,

A triangle with side lengths 6 inches, 6 inches, and 8.5 inches.

We need to find the area of the cloth.

The side lengths form an isosceles triangle. The formula for the area of the isosceles triangle is given by :

[tex]A=\dfrac{1}{2}\times b\times h[/tex]

Where

[tex]h=\sqrt{a^2-\dfrac{b^2}{4}}[/tex]

So,

[tex]A=\dfrac{1}{2}\times b\times \sqrt{a^2-\dfrac{b^2}{4}}[/tex]

Put a = 6 and b = 8.5

So,

[tex]A=\dfrac{1}{2}\times 8.5\times \sqrt{6^2-\dfrac{8.5^2}{4}}\\\\A=17.99\ in^2[/tex]

So, the area of the cloth is equal to [tex]17.99\ in^2[/tex].

company that manufactures a popular multivitamin wanted to determine whether their multivitamin had any side effects. For its initial study, the company chose 2000 individuals to take one of their multivitamin tablets per day for one year. Scientists from the company surveyed the participants to determine whether they had experienced any side effects. The greatest problem with this procedure is that A) only one brand of vitamin was tested B) the study lasted only one year C) the sample size was not large enough D) no control group was used

Answers

Answer:

Option D

Step-by-step explanation:

In this experiment, It would have been scientific to compare the result of the experiment on the experimental group(taking the multivitamin) with the control group (Taking no medicine)

Without a control group, a defined impact of multivitamin over the experimental group cannot be deduced.

Hence, option D is correct

What is the length of in the right triangle below?

Answers

Answer:

75

Step-by-step explanation:

root21² + root72²= 75

If a standard die is rolled twice, what is the probability that it lands on a number greater than 4 both times?

Answers

Answer:

1/3 i believe

Step-by-step explanation:

5x + 10 = 30
HELPPPP

Answers

Answer:

4

Step-by-step explanation:

5x+10=30

   -10  -10

5x=20

(divide both sides by 5)

x=4

hope this helps

Barium sulfate, BaSO4, is a white crystalline solid that is insoluble in water. It is used by doctors to diagnose problems with the digestive system. Barium hydroxide, Ba(OH)2, is also a white crystalline solid and is used in wastewater treatment.​​​​​​​ How many more oxygen atoms are represented in the formula for barium sulfate than in the formula for barium hydroxide?

Answers

Barium Sulfate, BaSO4, has 4 oxygen atoms
Barium Hydroxide, Ba(OH)2, has 2 oxygen atoms, as there are two oxygen atoms in Hydroxide (OH)2

There are 2 more oxygen atoms in Barium Sulfate (4-2)
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