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Basile [38]
2 years ago
5

n a coordinate grid, Jeff’s house is located at point (2, 6) and Vicki’s house is located at a point ( 2, 12). Chloe’s house is

halfway between Jeff’s house and Vicki’s house. On the coordinate grid, where is Chloe’s house located?
Mathematics
1 answer:
SVEN [57.7K]2 years ago
3 0
Chloe’s house is located at (2,9)
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4(a + 2) = 14 – 2(3 – 2a)<br><br> –2<br><br><br> –1<br><br><br> no solution<br><br> all real numbers
Ray Of Light [21]

All real numbers.

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Step-by-step explanation:

Distributive property: a(b+c)=ab+ac

Expand: 4(a+2)=4a+8

Expand again: 14-2(3-2a)=4a+8

4a+8=4a+8

You subtract by 8 from both sides of an equation.

4a+8-8=4a+8-8

Simplify.

4a=4a

Then, subtract by 4a from both sides of an equation.

4a-4a=4a-4a

Finally, simplify.

4a-4a=0

0=0

True

All real numbers is the final answer.

Hope this helps you!

Have a nice day! :)

4 0
3 years ago
Nancy had 333 dollars to spend on 9 books. After buying them she had 18 dollars. How much did each book cost ?
MissTica

Answer:

35 dollars

Step-by-step explanation:333-18=315 dollars

315/9=35 dollars for each book

7 0
3 years ago
With reference to the figure, sin X equals?<br> 1.) 0.250<br> 2.)0.447<br> 3.)0.894<br> 4.)1
Flura [38]

Answer:

3.) 0.894

Step-by-step explanation:

✔️First, find BD using Pythagorean Theorem:

BD² = BC² - DC²

BC = 17.89

DC = 16

Plug in the values

BD² = 17.89² - 16²

BD² = 64.0521

BD = √64.0521

BD = 8.0 (nearest tenth)

✔️Next, find AD using the right triangle altitude theorem:

BD = √(AD*DC)

Plug in the values into the equation

8 = √(AD*16)

Square both sides

8² = AD*16

64 = AD*16

Divide both sides by 16

4 = AD

AD = 4

✔️Find AB using Pythagorean Theorem:

AB = √(BD² + AD²)

AB = √(8² + 4²)

AB = √(64 + 16)

AB = √(80)

AB = 8.9 (nearest tenth)

✔️Find sin x using trigonometric ratio formula:

Reference angle = x

Opposite side = BD = 8

Hypotenuse = AB = 8.944

Thus:

sin(x) = \frac{opp}{hyp} = \frac{8}{8.944} = 0.894 (nearest thousandth)

6 0
3 years ago
Which shape has only one pair of parallel sides? A. rectangle B. triangle C. trapezoid D. rhombus
spin [16.1K]
I would most likely go with C.
5 0
3 years ago
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Felix has 2 yards of ribbon. he needs 1/4 yard to make a bow. how many bows can he make?
ioda
He can make 8 bows because 4 1/4 = 1 so 4×2=8
6 0
3 years ago
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