Use intercepts to graph the line described by the equation 2x − 2y = 8.

Answer:

(1,1) and (7,5) => Slope: 2/3

(1,1) and (5,7) => Slope: 3/2

(2,5) and (-1,2) => Slope:1

(2,5) and (-7,-4) => Slope:1

Step-by-step explanation:

The slope of a line is denoted by m and is given as:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Calculating the slope one by one for each pair.

(1,1) and (7,5):

Let m1 be the slope of this line

Here

(x1,y1) = (1,1)

(x2,y2) = (7,5)

Putting values in formula

[tex]m_1 = \frac{5-1}{7-1}\\= \frac{4}{6}\\=\frac{2}{3}[/tex]

(1,1) and (5,7):

Let m2 be the slope of this line

Here

(x1,y1) = (1,1)

(x2,y2) = (5,7)

Putting values in formula

[tex]m_2 = \frac{7-1}{5-1}\\m_2=\frac{6}{4} = \frac{3}{2}[/tex]

(2,5) and (-1,2):

Let m3 be the slope of this line

Here

(x1,y1) = (2,5)

(x2,y2) = (-1,2)

Putting values in formula

[tex]m_3 = \frac{2-5}{-1-2}\\m_3 = \frac{-3}{-3} = 1[/tex]

(2,5) and (-7,-4):

Let m4 be the slope of this line

Here

(x1,y1) = (2,5)

(x2,y2) = (-7,-4)

Putting values in formula

[tex]m_4 = \frac{-4-5}{-7-2}\\m_4 = \frac{-9}{-9} = 1[/tex]

Hence,

The points and their respective slopes are as follows:

(1,1) and (7,5) => Slope: 2/3

(1,1) and (5,7) => Slope: 3/2

(2,5) and (-1,2) => Slope:1

(2,5) and (-7,-4) => Slope:1

Answer:

C

Step-by-step explanation:

If a shape has four sides, then it is a quadrilateral.

If a shape has four sides, then it is a quadrilateral so option (C) will be correct.

A quadrilateral is a geometrical 2d shape in which there are four sides and each side is connected and makes a close polygon.

In other meaning, a quadrilateral is a kind of polygon in which four sides for example rectangle, square, and parallelogram are quadrilateral.

a quadrilateral is a four-sided polygon, having four edges and four corners

A parallelogram is a basic quadrilateral with two sets of parallel sides.

The confronting or opposing sides and the opposing angles of a parallelogram are of equal length.

A quadrilateral is a quadrilateral because it has four sides not because it is quadrilateral so it has four sides.

For example, 4 sides are equal so the square is not due to the square all lines will same.

Hence If a shape has four sides, then it is a quadrilateral.

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Answer:

There are 5 whole numbers.

Step-by-step explanation:

3,4,5,6,7

Answer:

Step-by-step explanation:

and

Whole numbers between √8 and √80​ are:

Answer:

The number 0 is the smallest non-negative integer. The natural number following 0 is 1 and no natural number precedes 0. The number 0 may or may not be considered a natural number, but it is an integer, and hence a rational number and a real number (as well as an algebraic number and a complex number).

Cardinal: 0, zero, "oh" (/oʊ/), nought, naught, nil

Binary: 0

               2

Hexadecimal: 0

                          16

Step-by-step explanation:

Answer:   H=-9

Step-by-step explanation:

(2)(h)+(2)(3.5)=−11

=2h+7=−11

=2h+7−7=−11−7

=2h=−18

h=-18/2

h=-9

Answer:

-9 is the answer hope it helps :)

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

3 + 2b

Step-by-step explanation:

To simplify, you have to combine (add) like terms. The like terms are 5 and -2 because they both do not have a variable.

5 + (-2) = 3

2b stays the same because there are no like terms for it.

3 + 2b

Hope this helped :)

Answer:

Step-by-step explanation:

a. a=4

b. a=3

hope this helps

Answer:

hope it helps..

Step-by-step explanation:

If this helps please comment on my answer...

Answer:

Answer:

Yes , Avery is correct

Step-by-step explanation:

To check if Avery is correct, we need to know the exact value obtained in each of their goals

For Avery’s team;

3/5 * 450 = $270

For Nolan’s team

5/9 * 450 = $250

Since $270 is greater than $250, we can see that Avery’s team collected more money

Answer:

$111.18

Step-by-step explanation:

Dinner is $88.24

Tax is (.05)$88.24 = $4.41

20% after tax added (.20)92.65 = $18.53

total dinner cost is $111.18

Answer:

9

Step-by-step explanation:

Multiply the denominator of 3/4 to get the same denominator as 12 which would be 3 so that makes it 9/12

Answer:

I beliEve it is D

Step-by-step explanation:

Answer:

Step-by-step explanation:

tomas earning is $176,250

Answer:

ΔABC ~ ΔDEF

Step-by-step explanation:

If the given triangles ΔABC and ΔDEF are similar,

Their corresponding sides will be proportional.

[tex]\frac{\text{AB}}{\text{DE}}=\frac{\text{BC}}{\text{EF}}=\frac{\text{AC}}{\text{DF}}[/tex]

By substituting the measures of the given sides,

[tex]\frac{4}{2}=\frac{6}{3}=\frac{2}{1}[/tex]

2 = 2 = 2

Since, corresponding sides of both the triangles are proportional, both the triangles will be similar.

ΔABC ~ ΔDEF

Answer:

2106!

Step-by-step explanation:

1,620 - 70% = 486

486 + 1,620 = 2106

(  お力になれて、嬉しいです！)

Answer:

5,400 total workers

Step-by-step explanation:

70% of workers are men, this means that 30% of workers aren't men

This means that 1,620 is 30% of the total workers

To figure out the total workers you do:

30 (percentage that represents the value)/100 = 1,620 (value) / x (total workers)

You then cross-multiply the equation by multiple the numbers diagonal each other:

30/100

=1,620/x

So, 30x = 162,000

You then isolate the variable

30x/30 = 162,000/30

x = 5,400

Answer:

30 degrees

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

72/9=8 so 99/9=11

Answer:

i'm 95% sure that it is D

Step-by-step explanation:

don't be mad if i'm wrong

Answer:

-4

Step-by-step explanation:

Answer:

She originally had 7 necklaces.

Step-by-step explanation:

She now has 18 necklaces. She bought four more. That would be 18 - 4 = 14. She gave half of them to her sisters. 14 divided 2 is 7.

Answer:

i think 28 possibly

Step-by-step explanation:

because she bought 4 new ones so 18-4 =14x2 =28?

i don't know if im right but hopefully this helped

Answer:

1 : 3

Step-by-step explanation:

Given

150 : 450 ( divide both parts by 150 )

= 1 : 3

The ratio 150:450 in the form 1:n will be 1 : 3.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given ratio, 150:450

150/450 = 15/45 = 1/3 = 1:3

Hence "The ratio 150:450 in the form 1:n will be 1 : 3".

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Answer:

the number is 11

Step-by-step explanation:

"Diminished" is another word for subtraction, so our equation is : 9x - 4 = 95

Add 4 on each side: 9x = 99

Divide each side by 9: x = 11

I hope this helped, please mark Brainliest, thank you!

Answer:

Step-by-step explanation:

Let a number be X

So

Nine times a number, diminished by 4, is 95

9x-4=95

9x=95+4

9x=99

X=99/9

X=11

So the number is 11

Answer:

[tex]Base = 57[/tex]

Step-by-step explanation:

Given

[tex]Length = 2x + 4[/tex]

[tex]Base = 3x[/tex]

[tex]Perimeter = 141[/tex]

Required

Determine the length of the base

The perimeter of an isosceles triangle is:

[tex]Perimeter = 2*Length + Base[/tex]

[tex]141 = 2 (2x + 4) + 3x[/tex]

[tex]141 = 4x + 8 + 3x[/tex]

Collect Like Terms

[tex]4x + 3x = 141 - 8[/tex]

[tex]7x = 133[/tex]

Divide both sides by 7

[tex]x = 19[/tex]

To get the base, we substitute 19 for x in [tex]Base = 3x[/tex]

[tex]Base = 3 * 19[/tex]

[tex]Base = 57[/tex]

Answer:

Line 2 ║ Line 3

Step-by-step explanation:

y = mx + b

~~~~~~~~~~

Line 1: y = - 7x + 6

Line 2: x + (1/3)y = - 6 ⇔ y = - 3x - 18

Line 3: y = - 3x - 8

Line 4: y + 7 = (-1/7)(x + 4) ⇔ y = [tex]- \frac{1}{7}[/tex] x - [tex]\frac{43}{7}[/tex]

[tex]m_{line2}[/tex] = [tex]m_{line3}[/tex]  ⇒  Line 2 ║ Line 3

Answer:

x=1/15 y = -4 1/3

Step-by-step explanation:

First combine like terms.

-3y = 13

y= -13/3

y= -4 1/3

Substitute for y in next equation

-4 1/3 = 5x - 4

5x = 4 1/3 - 4

5x = 4 1/3 - 4

5x = 1/3

x = 1/3 divided by 5

Since fractions can't be divided, multiply by the inverse

x = 1/3 times 1/5 = 1/15

Answer:

3a-8

Step-by-step explanation:

(3a-4) -4

= 3a-4-4

= 3a-8