All categories

3 years ago

Question #13, how to solve for the value of x in the triangle? Whoever answers right will receive brainliest.

Mathematics

1 answer:

ycow [4]3 years ago

6 0

Answer:x=8 or x=-4

Step-by-step explanation:

x²+(x+7)² = (x+9)²

x²+(x+7)(x+7) = (x+9)(x+9)

x²+x²+7x+7x+49 = x²+9x+9x+81

2x²+14x+14x+49 = x²+18x+81

2x²-x²+14x-18x = 81-49

x²-4x = 32

(x²-4x)-32 = 0

(x+2x)(x-2x)-32 = 0

x²+2x²-2x²-4x-32 = 0

x²-4x-32 = 0

(x-8)(x+4) = 0

(x-8) = 0 or (x+4) =0

x = 8 or x = -4

You might be interested in

The exponential model A = 661.7 e^0.011t describes the population, A, of a country in millions, t years after 2003. Use the mode

faust18 [17]

Answer:

661.7 million

Step-by-step explanation:

Given the exponential model :

A = 661.7 e^0.011t

The general form of an Exponential model is expresses as :

A = A0 * e^rt

Where A = final value ; A0 = Initial value ; r = growth rate and t = time elapsed

From the question t = time after 2003

Therefore, A0 = initial population, which is the population in 2003

Therefore, A0 = 661.7

Or we could put t = 0 in the equation and solve for A

A = 661.7 e^0.011(0)

A = 661.7 * 1

A = 661.7

Hence, population in 2003 is 661.7 million

7 0

3 years ago

I need help fast!!!!!!!!!!!!!!!¡!!!!!¡!!!!!!!!!m!!!!!!

raketka [301]

I think the answer is shelter B

4 0

3 years ago

How to do this question

Alenkinab [10]

Answer:

10 tacos costs $15.00

Step-by-step explanation:

I like to use ratio's to solve this type of problem. I will put cost over number of tacos.

$6.00 x dollars

-------- = --------------

4 tacos 10 tacos

Using cross products

6 * 10 = 4 * x

60 = 4x

Divide each side by 4

60/4 = 4x/4

15 =x

10 tacos costs $15.00

6 0

3 years ago

Read 2 more answers

Which expressions are algebraically equivalent to the correct usage of the distance formula to find the distance from point A(3,

egoroff_w [7]

Answer:

(5)

Step-by-step explanation:

The given two points are:

A(3,k) and B(h,4)

Now, using the distance formula that is= $\sqrt{(y_{2}-y_{1})^{2}+(x_{2}-x_{1})^{2}}$ .

In the given points, $y_{2}=4$ , $y_{1}=k$ , $x_{2}=h$ and $x_{1}=3$ , thus,

$\sqrt{(y_{2}-y_{1})^{2}+(x_{2}-x_{1})^{2}}$ = $\sqrt{(4-k)^{2}+(h-3)^{2}}$

which is the required equation, hence option 5 is correct.

8 0

3 years ago

Read 2 more answers

Type the correct answer in each box. Use numerals instead of words.

Hatshy [7]

Answer:

$(4,-3)$ and $(-2,5)$

Step-by-step explanation:

It was given that the points $(-3,4)$ and $(5,-2)$ are on the graph of the function $f$ .

If $g$ is the inverse function of $f$ , then $g$ will take the y-values as inputs and give the x-values as outputs.

Hence we will have the ordered pairs $(4,-3)$ and $(-2,5)$

on g.

In other words, f and g are symmetric about the line $y=x$ . This implies that when we reflect the points $(-3,4)$ and $(5,-2)$ in the line $y=x$ we will obtain $(4,-3)$ and $(-2,5)$ .

This point must lie on g.

8 0

3 years ago

Read 2 more answers