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olasank [31]
3 years ago
13

Find the value of x. If necessary, round to the nearest tenth.

Mathematics
1 answer:
Ghella [55]3 years ago
5 0

Answer:

x = 10.3 in

Step-by-step explanation:

To find the value of a, use the area formula for a triangle. The formula is A = 1/2 *b*h. Here b = x and h= x. The formula becomes A = 1/2 *x². Substitute A = 53 and solve for x by using inverse operations.

A = 1/2x²

53 = 1/2x²

106 = x²

√106 = x

10.3 = x

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In the system of equations, r and s are constants. If the system has infinitely many solutions, what is the value of rs?
exis [7]

Answer:  B) -48

Step-by-step explanation:

If the system of two linear equations a_1x+b_1y=c_1\ \&\ a_2+b_2y=c_2 has infinitely many solutions , then

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}=k

For the given system of linear equations : rx-sy=26\\4x+3y=13

We , will have

\dfrac{r}{4}=\dfrac{-s}{3}=\dfrac{26}{13}=2\\\\\Rightarrow\ r= 4\times2=8\ \ \&\ \ s=2\times-3=-6

The value of rs=(8)\times-6=-48

Hence, the value of rs is -48.

Thus , the correct option is B) -48.

6 0
3 years ago
dentify the property used in this equation: 3 + [7 + (–4)] = (3 + 7) + (– 4) Evaluate the expression above.
Leno4ka [110]

Answer:

associative property with respect to addition and subtraction

3+[7+(-4)]=(3+7)+(-4)

3+[7-4]=10+(-4)

3+3=10-4

6=6

Step-by-step explanation:

i hope it will help you

7 0
3 years ago
Evaluate the expression for the given value of the variable.
Stels [109]

Answer:

4 * (3 + 5)

4 * 8

<u>32</u>

Step-by-step explanation:

5 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
Nikitich [7]

Answer:   B. (-4, 0)

<u>Step-by-step explanation:</u>

The question is: when is the <u>function</u> constant?

function is also called f(x), which is also called "y".

So the question is asking: when is the y-value constant?

the y-value is constant (not increasing or decreasing) between x = -4 and x = 0. So the interval is (-4, 0)

7 0
3 years ago
Differential equations by separation of variables
MissTica
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

Below is the solution:

xdy/dx = 4y 
<span>xdy = 4ydx </span>
<span>∫ dy/y =∫ 4dx/x </span>
<span>ln(y) = 4ln(x) + C </span>
<span>y = e^[4ln(x)] e^C </span>
<span>y = e^[ln(x)^4] e^C </span>
<span>y = Cx^4 answer</span>
5 0
3 years ago
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