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3 years ago

3. To which set of numbers does the product of the following numbers belong?

Mathematics

1 answer:

PIT_PIT [208]3 years ago

7 0

Natural number because they are while

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Given points A (1, 2/3), B (x, -4/5), and C (-1/2, 4) determine the value of x such that all three points are collinear

AlladinOne [14]

Answer:

$x=\frac{83}{50}$

Step-by-step explanation:

we know that

If the three points are collinear

then

$m_A_B=m_A_C$

we have

A (1, 2/3), B (x, -4/5), and C (-1/2, 4)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find the slope AB

we have

$A(1,\frac{2}{3}),B(x,-\frac{4}{5})$

substitute in the formula

$m_A_B=\frac{-\frac{4}{5}-\frac{2}{3}}{x-1}$

$m_A_B=\frac{\frac{-12-10}{15}}{x-1}$

$m_A_B=-\frac{22}{15(x-1)}$

step 2

Find the slope AC

we have

$A(1,\frac{2}{3}),C(-\frac{1}{2},4)$

substitute in the formula

$m_A_C=\frac{4-\frac{2}{3}}{-\frac{1}{2}-1}$

$m_A_C=\frac{\frac{10}{3}}{-\frac{3}{2}}$

$m_A_C=-\frac{20}{9}$

step 3

Equate the slopes

$m_A_B=m_A_C$

$-\frac{22}{15(x-1)}=-\frac{20}{9}$

solve for x

$15(x-1)20=22(9)$

$300x-300=198$

$300x=198+300$

$300x=498$

$x=\frac{498}{300}$

simplify

$x=\frac{83}{50}$

8 0

4 years ago

Solve -2 = 5p + 3p -8 – 6p

Shalnov [3]

Answer:

P=3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−2=5p+3p−8−6p

−2=5p+3p+−8+−6p

−2=(5p+3p+−6p)+(−8)(Combine Like Terms)

−2=2p+−8

−2=2p−8

Step 2: Flip the equation.

2p−8=−2

Step 3: Add 8 to both sides.

2p−8+8=−2+8

2p=6

Step 4: Divide both sides by 2.

2p2=62

p=3

3 0

2 years ago

There are 8 girls and 5 boys on the math team. Which ratio correctly describes the relationship between boys and girls on the ma

klio [65]

5:8 Hope this helps!!

3 0

2 years ago

What is the equation of the line that passes through the points (-9,-6) and (-9, -8)?

andrey2020 [161]

Answer:

x=-9

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-8-(-6))/(-9-(-9))

m=(-8+6)/(-9+9)

m=-2/0

undefined

x=-9

7 0

3 years ago

Which expression is equivalent to the expression shown?

choli [55]

<h3>Answer: 5^24</h3>

<h2>Maybe it can be your answer but i am not sure that it is fixed answer </h2>

5 0

3 years ago