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4 years ago

What is the value of x? Please go through the steps.

Mathematics

1 answer:

Andrej [43]4 years ago

3 0

You are going to use the Pythagorean theorem.
$10/11=5x+10/121$
1210=11(5x+10)
1210=55x+110
-55x=110-1210
-55x=1100
x=20

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select the correct answer hurry has 81 red balls what she wants to arrange in rows is the number of balls and which will not be

Arlecino [84]

Given

81 red balls

Number of balls per row = Number of rows

Procedure

b = Number of balls

r = Number of rows

T = Total number of balls

b = r

$\begin{gathered} T=b\cdot r \\ Given\text{ b=r} \\ T=b^2 \\ b=\sqrt[]{T} \\ b=\sqrt[]{81} \\ b=9 \end{gathered}$

The answer is:

Number of rows = 9

Number of balls = 9

7 0

1 year ago

Hello, I am currently very stuck with this problem and I am unsure as to how I would solve it.

borishaifa [10]

We have the equation

$20y=x^2-10-15$

Let's complete the square, to do it let's add and subtract 25 on the right side

$\begin{gathered} 20y=x^2-10-15+25-25 \\ \\ 20y=(x-5)^2-15-25_{} \\ \\ 20y=(x-5)^2-40 \\ \\ \end{gathered}$

Now we can have y in function of x

$\begin{gathered} y=\frac{1}{20}(x-5)^2-2 \\ \\ \end{gathered}$

Now we can already identify the vertex because it's in the vertex form:

$y=a(x-h)+k$

Where the vertex is

$(h,k)$

As we can see, h = 5 and k = -2, then the vertex is

$(5,-2)$

Now we can continue and find the focus, the focus is

$\mleft(h,k+\frac{1}{4a}\mright)$

We have a = 1/20, therefore

$\begin{gathered} \mleft(5,-2+5\mright) \\ \\ (5,3) \end{gathered}$

The focus is

$(5,3)$

And the last one, the directrix, it's

$y=k-\frac{1}{4a}$

Then

$\begin{gathered} y=-2-5 \\ \\ y=-7 \end{gathered}$

Hence the correct answer is: vertex (5, -2); focus (5, 3); directrix y = -7

5 0

1 year ago

Another one !!!!! Help me please

Elena L [17]

Answer:

2,601

Step-by-step explanation:

You have to find the hypotenuse using the formula $c^{2} =\sqrt{a^2 + b^2$ to find the length of the square which would be c. $=\sqrt{ 24^{2}+45^2 }$ giving you an answer of 51. To find the area of the square you need to multiply 51 to itself so, $51*51=2,601$ .