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AlladinOne [14]

3 years ago

15

Apply the distributive property to create an equivalent expression.

1 answer:

Anika [276]3 years ago

4 0

Hi there!

»»————-　★　————-««

I believe your answer is:

$a-3b+4$

»»————-　★　————-««

Here’s why:

⸻⸻⸻⸻

$\boxed{\text{Simplifying the Equation...}}\\\\\frac{1}{2}(2a-6b+8)\\----------------\\\rightarrow\frac{1}{2}* 2a = a\\\\ \rightarrow\frac{1}{2}*-6b = -3b\\\\\rightarrow\frac{1}{2}*8 = 4\\\\\text{\underline{Therefore:}}\\\\\frac{1}{2}(2a-6b+8)\rightarrow \boxed{a-3b+4}$

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

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Complete the table below

Mandarinka [93]

Answer:

left 2 and 8

right 2 and 4

Step-by-step explanation:

For each equation at the top you substitute the number into x for the numbers on the left

y=2(1)^2

y=2

y=2(2)^2

y=8

y=2^1

y=2

y=2^2

y=4

5 0

2 years ago

A point in rectangular coordinates is given. Convert the point to polar coordinates. Round your answers to two decimal places.

postnew [5]

Answer:

(√74, 54.46°)

Step-by-step explanation:

The rectangular coordinate point is given as; (5, 7)

Now, converting rectangular coordinates to polar coordinates is done by;

(r, θ)

Where, r is the magnitude while θ is the angle

r = √(5² + 7²)

r = √74

tan θ = (7/5)

θ = tan^(-1) 1.4

θ = 54.46°

Thus,polar coordinate is; (√74, 54.46°)

3 0

3 years ago

Tom has 3 kids, the product of their ages is 72. What is the sum of their ages?

mafiozo [28]

Their ages are 24 years old each.

5 0

3 years ago

Read 2 more answers

Write the equation of a line in slope-intercept form with a slope of -1/3 and a y intercept of 4

Sergeu [11.5K]

Y = -1/3x + 4 . 4 is the intercept -1/3x is the slope

8 0

3 years ago

Find the perimeter of the triangle with vertices A(negative 2,2,3), B(4,negative 4,3), and C(7,6,4).

gayaneshka [121]

Answer:

$P\approx 28.872\,\text{units}$

Step-by-step explanation:

We are given coordinates of each of the vertices of the triangle ABC, hence we can use the distance formula to find the lengths of each of the side.

the distance formula is generally written as:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}$

for the side AB: A(-2,2,3) and B(4,-4,3)

$AB = \sqrt{(-2-4)^2+(2-(-4))^2+(3-3)^2}$

$AB = \sqrt{(-6)^2+(6)^2+(3-3)^2}$

$AB = \sqrt{72}$

for the side BC: B(4,-4,3) and C(7,6,4)

$BC = \sqrt{(4-7)^2+((-4)-6)^2+(3-4)^2}$

$BC = \sqrt{110}$

for the side CA: C(7,6,4) and A(-2,2,3)

$CA = \sqrt{(7-(-2))^2+(6-2)^2+(4-3)^2}$

$CA = \sqrt{98}$

Now we all the sidelengths:

to find the perimeter we need to just sum the three side lengths:

$P = AB + BC + CA$

$P = \sqrt{72} + \sqrt{110} + \sqrt{98}$

$P\approx 28.872\,\text{units}$

this is the perimeter of triangle ABC

6 0

3 years ago