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Marta_Voda [28]
2 years ago
5

Help please help please

Mathematics
1 answer:
lions [1.4K]2 years ago
7 0

By solving a linear equation, we conclude that the measure of AC is 31 units.

<h3>How to find AC?</h3>

We know that A, B, and C are 3 collinear points, such that B is in the middle.

That means that:

AC = AB + BC

Here we know that:

AC = 3x - 38

AB = 2x - 40

BC = 25

Replacing that, we get the linear equation:

3x - 38 = 2x - 40 + 25

Solving this for x, we get:

3x - 2x = -40 + 25 + 38

x = -40 + 25 + 38 = 23

Replacing that in the equation for AC, we get:

AC = 3x- 38 = 3*23 -38 = 31

We conclude that the measure of AC is 31 units.

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

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The gravitational attraction betweentwo bodies varies inversely as thesquare of the distance between them.If the force of attrac
Sliva [168]

The force for the case 1 is 64 pounds and the distance is 9 feet, it is:

\begin{gathered} \frac{k}{9^2}=64 \\ k=5184 \end{gathered}

Now, if the force is 36 pounds, let solve for the distance:

\begin{gathered} \frac{k}{r^2}=36 \\ \frac{5184}{r^2}=36 \\ r^2=144 \\ r=12 \end{gathered}

Hence the answer is 12 feet.

3 0
1 year ago
Can someone please explain to me why -4² = -16?
oksano4ka [1.4K]

Answer:

-4 x -4 = -16

4 x 4 = 16

^2 or to the power of 2 basely means 4 times itself, because 2.

5 0
2 years ago
A bank offers 2.12 interest compounded annually for investing money in a savings account, you open an account with $300. How muc
Tresset [83]

Answer:

\large \boxed{\$70.02}

Step-by-step explanation:

The compound interest formula is

A = P\left(1 + \dfrac{r}{n}\right)^{nt}

Data:

P = 300

r = 2.12 % = 0.0212

t = 10 yr

n = 1 calculation per year

1. Accrued amount:  

A = 300(1+ 0.0212)¹⁰

  = 300 × 1.0212¹⁰

  = 300 × 1.233 41

  = 370.02

2. Interest

I = A - P = 370.02 - 300.00 = 70.02

\text{The interest is $\large \boxed{\mathbf{\$70.02}}$}

7 0
3 years ago
NEED HELP! Match the expression with their simplified versions.
tresset_1 [31]

Answer:

1st box - 8

2nd box - square root 7 (subtract whole numbers only)

3rd box - 1/2 (there is an imaginary 1, so divide and leave the sqrt alone)

4th box - 20 (multiply the square roots then get 25 then sqare root it to get 5 then multiply by 5)

Step-by-step explanation:

3 0
3 years ago
The product of 10 and the difference between 8 and -9?
ra1l [238]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

170

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

\text{The phrase can be rewritten as:}\\\\10 * (8-(-9))\\---------------\\\rightarrow 8-(-9) = 8 + 9 = 17\\\\\rightarrow 10 * 17\\\\\rightarrow \boxed{170}

⸻⸻⸻⸻

»»————- ★ ————-««  

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

4 0
3 years ago
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