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Answer:

-2y = 4 - x

2y = x - 4

y = 1/2x - 2

1/2 is the slope of both lines.

y = mx + b

Substitute the given point and the common slope

2 = 1/2 x 2 + b

2 = 1 + b

b = 1

y = 1/2x + 1

The equation of the line that passes through the point

(2, 2) and is parallel to the line x - 2y = 4 is y = 1/2x + 1 or 2y = x + 2.

hope this helps u

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Answer:

x - 2y = - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

x - 2y = 4 ( subtract x from both sides )

- 2y = - x + 4 ( divide all terms by - 2 )

y = [tex]\frac{1}{2}[/tex] x - 2 ← in slope- intercept form

with slope m = [tex]\frac{1}{2}[/tex]

Parallel lines have equal slopes, thus

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute (2, 2) into the partial equation

2 = 1 + c ⇒ c = 2 - 1 = 1

y = [tex]\frac{1}{2}[/tex] x + 1 ← equation in slope- intercept form

Multiply through by 2

2y = x + 2 ( subtract 2y from both sides )

0 = x - 2y + 2 ( subtract 2 from both sides )

- 2 = x - 2y, that is

x - 2y = - 2 ← equation in standard form

Answer:

1 and 2

Step-by-step explanation:

I hope this helps you out!

centimeters and inches!

Answer: Yes, there is an ordered pair solution

The quick way we can see this without having to graph or do any algebra is to look at the two slopes of the lines.

y = x+1 has slope of 1

y = -x+5 has slope of -1

Recall that y = mx+b has slope m.

The two different slopes (1 and -1) indicate the lines are not parallel, so they must intersect exactly once. This intersection is the where the solution is located.

Step-by-step explanation:

let no. of hours be x.

45x - 12 ≥ 117

45x ≥ 129

x ≥ 2.8667 (5sf)

therefore, 3 hours (round up to next whole number).

Topic: inequalities

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Answer:

i need help with this too\

Step-by-step explanation:

Answer:

19/24 is the answer

Step-by-step explanation:

mean: (3 + 2 + 7 + 7 + 3 + 8 + 5 + 7 + 2 +8)/10 = 5.2

median: 2, 2, 3, 3, 5, 7, 7, 7, 8, 8 hence median is (5 + 7) / 2 = 6

mode: 7

Topic: mean median mode

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Answer:

5

Step-by-step explanation:

Answer: 5

Step-by-step explanation: -7+12=5. So, 5 is the answer.

Answer:

a=32.5

Step-by-step explanation:

6.50×5

you and your four friends . that equals to five people so five multiply by 6.50

Answer:

A. 11+11+3. The two longer sides are 11 feet, and the one shorter side is 3 feet.

b.  yes it is because the isoscele tringle is 25 feet in perimeter.

the equallateral triangle is 24 feet in perimeter.

Answer:

30,000

Step-by-step explanation:

Answer:

30,000

Step-by-step explanation

Answer:

B. The quadrilaterals are all the same size and shape.

Step-by-step explanation:

Lauren was drawing a tower ONLY using SIMILAR quadrilaterals, so since that is, since the quadrilaterals are similar, then they must have the same size and shape.

The statement i.e. true for quadrilaterals should be

B. The quadrilaterals are all the same size and shape.

A quadrilateral refer to the closed shape also it is the type of polygon that comprises of four sides, four vertices, and the four angles. Here the sum of the interior angle should be equivalent to the 360 degrees.

Therefore, we can conclude that the second option is correct.

hence, the rest of the options are wrong.

Learn more about angle here: https://brainly.com/question/11816894

Answer:

138 meters squared

Step-by-step explanation:

Area of the shape

[tex] = \frac{1}{2} \times (14 + 9) \times 12 \\ \\ = \frac{1}{2} \times 23 \times 12 \\ \\ = 23 \times 6 \\ \\ = 138 \: {m}^{2} [/tex]

Answer: $595

is the correct answer

Answer:

Step-by-step explanation:

x= -0.23 or -7/30

Answer:

please I cannot see can you resend it

Answer:

B 5 F   it is the warmest

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

its the closest to the right

Answer:

Option A: 0.07c = 1.26 is the correct answer

Step-by-step explanation:

Given that the price of shirt is denoted by c.

Given that the sales tax is 0.07 times of the cost of shirt.

Mathematically it can be written as:

[tex]Sales\ tax=0.07c[/tex]

Now it is also given in the statement that the sales tax is $1.26

Putting this value in the above equation

[tex]1.26 = 0.07c[/tex]

As we have to find the cost, dividing both sides by 0.07

[tex]\frac{1.26}{0.07} = \frac{0.07x}{0.07}\\c = \frac{1.26}{0.07}[/tex]

Hence, we saw that the intermediate equation was: 1.26 = 0.07c

So,

Option A: 0.07c = 1.26 is the correct answer

Answer: A. 0.07 · c = 1.26

Step-by-step explanation:

Sales tax (0.07) x cost (c) = price (1.26)

Answer:

a+b=c

Step-by-step explanation:

add a and b and thats c

Answer: it has 7 solutions

Step-by-step explanation:

i hope this helps

Answer: 1/3

Step-by-step explanation:

From the question, we are informed that when Jake volunteers at the animal shelter, he divides two-thirds cup of cat food equally between 2 cats.

The amount of food that is given to each cat will be:

= 2/3 ÷ 2

= 2/3 × 1/2

= 1/3

Each cat gets 1/3 of the food

Answer:

the guy above me is verry correct

Step-by-step explanation:

Answer: 3/4

Step-by-step explanation:

Slope=rise/run

We rise 3

We run 4

3/4

Answer:

SAS postulate

Step-by-step explanation:

The triangles have two congruent sides and one congruent angle. The congruent angle is the included angle. This meets SAS criteria.

Hope this helps :-)

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Answer:

The average rate of change of the function [tex]g(x)=x^2+10x+18[/tex] over the interval [tex]-11 \leq x\leq -1[/tex] is -1

Step-by-step explanation:

We are given the function [tex]g(x)=x^2+10x+18[/tex] over the interval [tex]-11 \leq x\leq -1[/tex]

We need to find average rate of change.

The formula used to find average rate of change is : [tex]Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}[/tex]

We have b=-1 and a=-11

Finding g(b) = g(-1)

[tex]g(x)=x^2+10x+18\\Putting \ x=-1\\g(-1)=(-1)^2+10(-1)+18\\g(-1)=1-10+18\\g(-1)=9[/tex]

Finding g(a) = g(-11)

[tex]g(x)=x^2+10x+18\\Putting \ x=-11\\g(-11)=(-11)^2+10(-11)+18\\g(-1)=121-110+18\\g(-1)=29[/tex]

Finding average rate of change

[tex]Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}\\Average \ rate \ of \ change=\frac{9-29}{-1-(-11)}\\Average \ rate \ of \ change=\frac{-10}{-1+11}\\Average \ rate \ of \ change=\frac{-10}{10}\\Average \ rate \ of \ change=-1[/tex]

So, the average rate of change of the function [tex]g(x)=x^2+10x+18[/tex] over the interval [tex]-11 \leq x\leq -1[/tex] is -1

Answer: It's a simple process, all you do is just imagine it as money. Say you owe someone $10, which would be -10, an you give them $4, which is +4. You would still owe them $6, so your final answer would be -6.

Answer:

420% of 85 = 357

Step-by-step explanation:

85/x=100/420

(85/x)*x=(100/420)*x       - we multiply both sides of the equation by x

85=0.23809523809524*x       - we divide both sides of the equation by (0.23809523809524) to get x

85/0.23809523809524=x

357=x

x=357