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VARVARA [1.3K]
2 years ago
10

Find the value of X in the triangle shown.

Mathematics
1 answer:
zalisa [80]2 years ago
7 0
X = 12

Use the Pythagorean Theorem.
13^2 = 5^2 + x^2
169 = 25 + x^2
Subtract 25 from both sides.
144 = x^2
Take the square root.
12 = x
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Find the solutions of the quadratic equation 14x^2+9x+10=014x
Vesnalui [34]

Answer:

Option B. x=-\frac{9}{28}(+/-)\frac{\sqrt{479}}{28}i

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

14x^{2}+9x+10=0

so

a=14\\b=9\\c=10

substitute in the formula

x=\frac{-9(+/-)\sqrt{9^{2}-4(14)(10)}} {2(14)}

x=\frac{-9(+/-)\sqrt{-479}} {28}

Remember that

i=\sqrt{-1}

substitute

x=\frac{-9(+/-)\sqrt{479}i} {28}  

x=-\frac{9}{28}(+/-)\frac{\sqrt{479}}{28}i

5 0
3 years ago
Find the present value of $10,000 payable in five years at 6% simple interest.
Svet_ta [14]
We know, I = P * R * T /100
Here, P = 10,000
R = 6%
T = 5

Substitute their values into the expression,
I = 10000 * 6 * 5 /100
I = 300000 / 100
I = 300

Final Amount = Initial Amount + Interest Amount
Final Amount = 10,000 + 300 = 10,300

So, your final answer is $10,300

Hope this helps!

6 0
3 years ago
Find f^3(x) for f(x)=4/x^2
vaieri [72.5K]

Answer:

  f³(x) = 64/x⁶

Step-by-step explanation:

  f³(x) = (f(x))³ = (4/x²)³ = 4³/(x²)³

  f³(x) = 64/x⁶

_____

The applicable rules of exponents are ...

  (a/b)^c = (a^c)/(b^c)

  (a^b)^c = a^(bc)

7 0
3 years ago
A car loan totaling $13,456.44 is to be paid off in
LiRa [457]

Answer:

she can't.

Step-by-step explanation:

13456.44/36=373.79

8 0
3 years ago
The Pearson product-moment correlation coefficient Group of answer choices is called the Pearson c. is used when both variables
Alekssandra [29.7K]

Answer:

provides information about the strength of a relationship

Step-by-step explanation:

A numerical measure of strength in the linear relationship between any two variables is called the Pearson's product moment correlation coefficient.

The co efficient of correlation is a pure number denoted by r , independent of the units in which the variables are measured that can range from+1 to -1 .

The sign of r indicates the direction of the cor relation.

When r= 0 it does not mean that there is no relationship . For example if the observed values lie exactly on a circle , there is a relationship between variables but r = 0  as r only measure linear cor relation.

The 2nd statement given is the correct answer.

It is not related to ordinal or nominal properties and it does show direction.

6 0
3 years ago
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