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3 years ago

What is z? will give brainliest:)

Mathematics

1 answer:

OLga [1]3 years ago

8 0

Answer:

z = 1

Step-by-step explanation:

Since this is an equation we can cross multiply the fractions

7/z = 84/12 ➡ 84×z = 7×12

84z = 84 divide both sides by 1

z = 1

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The midpoint of AB is M(-5,1). If the coordinates of A are (-4,-5), what are the coordinates of B?

Elenna [48]

<u>ANSWER:</u>

The midpoint of AB is M(-5,1). The coordinates of B are (-6, 7)

<u>SOLUTION: </u>

Given, the midpoint of AB is M(-5,1).

The coordinates of A are (-4,-5),

We need to find the coordinates of B.

We know that, mid-point formula for two points A $(x_{1}, y_{1})$ and B $(x_{1}, y_{2})$ is given by

$M\left(x_{3}, y_{3}\right)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

Here, in our problem, $\mathrm{x}_{3}=-5, \mathrm{y}_{3}=1, \mathrm{x}_{1}=-4 \text { and } \mathrm{y}_{1}=-5$

Now, on substituting values in midpoint formula, we get

$(-5,1)=\left(\frac{-4+x_{2}}{2}, \frac{-5+y_{2}}{2}\right)$

On comparing, with the formula,

$\frac{-4+x_{2}}{2}=-5 \text { and } \frac{-5+y_{2}}{2}=1$

$-4+\mathrm{x}_{2}=-10 \text { and }-5+\mathrm{y}_{2}=2$

$\mathrm{x}_{2}=-6 \text { and } \mathrm{y}_{2}=7$

Hence, the coordinates of b are (-6, 7).

5 0

4 years ago

Caitlyn needs to solve the equation: 2(3x+1)=3(2-x). after copying the problem correctly she uses the Properties of Algebra to s

astra-53 [7]

Answer:

x=49

Step-by-step explanation:

2(3x+1)=3(2−x)

Step 1: Simplify both sides of the equation.

2(3x+1)=3(2−x)

(2)(3x)+(2)(1)=(3)(2)+(3)(−x)(Distribute)

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6x+2=−3x+6

Step 2: Add 3x to both sides.

6x+2+3x=−3x+6+3x

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Step 3: Subtract 2 from both sides.

9x+2−2=6−2

9x=4

Step 4: Divide both sides by 9.

9x9=49

x=49

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