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exis [7]
3 years ago
8

Four times the sum of half a number and 6 is 48

Mathematics
1 answer:
katrin [286]3 years ago
6 0

Answer:

<h3>The number is 12</h3>

Step-by-step explanation:

Let the number be x

Half a number is written as 1/2x

So we have

Four times the sum of half a number and 6 is 48 is written as

4( \frac{1}{2} x + 6) = 48 \\ 2x + 24 = 48 \\ 2x = 48 - 24 \\ 2x = 24

Divide both sides by 2

That's

\frac{2x}{2}  =  \frac{24}{2}

We have the final answer as

<h3>x = 12</h3>

Hope this helps you

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Answer:

13

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

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<span>A function that repeats its values at regular intervals is called a periodic function</span>
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RectangleABCD has vertices at A(– 3, 1),B(– 2, – 1),C(2, 1), andD(1, 3). What is the area, in square units, of this rectangle? A
Anna [14]

Answer:

Option A. 10\ units^{2}

Step-by-step explanation:

we know that

The area of the rectangle is equal to

A=LW

where

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we have

A(-3,1),B(-2,-1),C(2,1),D(1,3)

Plot the vertices

see the attached figure

L=AD=BC

W=AB=DC

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

<em>Find the distance AD</em>

A(-3,1),D(1,3)

substitute in the formula

AD=\sqrt{(3-1)^{2}+(1+3)^{2}}

AD=\sqrt{(2)^{2}+(4)^{2}}

AD=\sqrt{20}

AD=2\sqrt{5}\ units

<em>Find the distance AB</em>

A(-3,1),B(-2,-1)

substitute in the formula

AB=\sqrt{(-1-1)^{2}+(-2+3)^{2}}

AB=\sqrt{(-2)^{2}+(1)^{2}}

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4 0
3 years ago
Please help me with this. thank you!
Firlakuza [10]

Answer:  

1. y = mx + b

Step-by-step explanation:

y = mx + b

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3) 5 = m(8) = b

4) your slope is negative form the why it pointing

5) in this case your slope is 1/3

6) so now you can do your first step now that you have your (y,x) and slope (your solving for (b)

7)

5 = 1/3 (8) + b

5 = 2.6 + b

5 = 2.6

-2.6

2.4 = b

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Alenkasestr [34]

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