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2 years ago

6(m-1)=3(3m+5) what does m=

Mathematics

1 answer:

love history [14]2 years ago

8 0

Answer:

m = - 7

Step-by-step explanation:

Given

6(m - 1) = 3(3m + 5) ← distribute parenthesis on both sides

6m - 6 = 9m + 15 ( subtract 9m from both sides )

- 3m - 6 = 15 ( add 6 to both sides )

- 3m = 21 ( divide both sides by - 3 )

m = - 7

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A polygon has vertices whose coordinates are A(1, 4), B(4, -1), C(-1, -4), and D(-4, 1). Use the midpoint formula to determine w

Alenkinab [10]

Answer:

The diagonals of the polygon ABCD bisect each other

Step-by-step explanation:

The given vertices of the polygon are;

A(1, 4), B(4, -1), C(-1, -4), and D(-4, 1)

Given that the vertices of the polygon in clockwise order from the top left corner are ABCD, we have the diagonals as AC and DB

By the midpoint formula, we have;

$(x_m , \ y_m) = \left (\dfrac{x_1 + x_2}{2} , \ \dfrac{y_1 + y_2}{2} \right )$

Where;

$(x_m , \ y_m)$ = The midpoint coordinates

Therefore, the midpoint of diagonal AC = $\left (\dfrac{1 + (-1)}{2} , \ \dfrac{4 + (-4)}{2} \right ) = (0, 0)$

The midpoint of diagonal DB = $\left (\dfrac{(-4) +4}{2} , \ \dfrac{1 + (-1)}{2} \right ) = (0, 0)$

Therefore, given that the coordinates of the location of the midpoint of the diagonals AC and DB is the same, the diagonals bisect each other

Each diagonal passes through the midpoint of the other diagonal.

3 0

2 years ago

In a country that only wants girls, every family continues to have children until they have a girl. If they have a boy, they hav

Alik [6]

Complete Question

In a country in which people only want Girls, every family continues to have children until they have a Girl. If they have Girl, they stop. If they have boy, they will continuous have child. Assuming that the birthrate of Girl is 52%, what is the proportion of Girl in the country?

Answer:

0.52

Step-by-step explanation:

From the question we are told that

52% is the birthrate of Girls

Therefore

$\frac{52}{100} =0.52$

0.52 is the proportion of Girls to boys in that country

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2 years ago

What is the volume, in cubic in, of a cylinder with a height of 8 in and a base radius of

densk [106]

Answer:

V=100.5

Step-by-step explanation:

hopes this helps

5 0

1 year ago

Need to pass this semester so please help

Aleks04 [339]

The correct answer is X= 14°

7 0

2 years ago

I need graph help plz

Likurg_2 [28]

Answer:

Step-by-step explanation:

Part A

x-intercepts of the graph → x = 0, 6

Maximum value of the graph → f(x) = 120

Part B

Increasing in the interval → 0 ≤ x ≤ 3

Decreasing in the interval → 3 < x ≤ 6

As the price of goods increase in the interval [0, 3], profit increases.

But in the price interval of (3, 6] profit of the company decreases.

Part C

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Average rate of change = $\frac{f(b)-f(a)}{b-a}$

Therefore, average rate of change of the function in the interval x = 1 and x = 3 will be,

Average rate of change = $\frac{f(3)-f(1)}{3-1}$

= $\frac{120-60}{3-1}$

= 30

6 0

2 years ago