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stich3 [128]
3 years ago
13

Use completing the square to solve the equation x^2 0 10x = 08.

Mathematics
1 answer:
wariber [46]3 years ago
4 0
Ok so assuming the 0 means minus from typing problems

x^2-10x=-8

to completet  the square
make sure the term in front of x^2 is 1
that is correct
then take 1/2 of the term in front of the x term and square it
-10/2=-5, (-5)^2=25
add that to both sides
x^2-10x+25=17


answer is the first equation
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Solve for x. Round to the nearest tenth, if necessary.
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Answer:

25.5

Step-by-step explanation:

first find angle E.

remember, all angles in a triangle always add up to 180 degrees.

E = 180 - 90 - 20 = 70 degrees

now we use the law of sines.

ED/sin(20) = DC/sin(70) = EC/sin(D)

EC = x

sin(D) = sin(90) = 1

24/sin(70) = x/1 = x

x = 25.5

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3 years ago
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What is the surface area of the regular pyramid given below?
yuradex [85]

For this case we have by definition, that the total surface area of a regular pyramid with a square base is given by:

SA = \frac {1} {2} p * S + A_ {b}

Where:

p: It is the perimeter of the base

S: It's the inclination

A_ {b}: It is the area of the base

Substituting:

A_ {b} = 7 ^ 2 = 49units ^ 2\\p = 7 + 7 + 7 + 7 = 28units\\S = 10units\\SA = \frac {1} {2} 28 * 10 + 49\\SA = 140 + 49\\SA = 189 \ units ^ 2

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Option B

3 0
3 years ago
Maria is m inches tall. Blaire is 2 inches taller than Maria. If Blaire is 52 inches tall, which equation could be used to find
Setler79 [48]
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7 0
3 years ago
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Part 1: Multiple Choice
Keith_Richards [23]

Option C: (0,125) is the y - intercept.

Explanation:

The given function is f(x)=x^3-5x^2-25x+125

We need to determine the y - intercept.

<u>The value of y - intercept:</u>

The y - intercept is the value of y when x = 0

The y - intercept of the function can be determined by substituting x = 0 in the function.

Hence, let us substitute x = 0 in the function f(x)=x^3-5x^2-25x+125, we have,

f(x)=(0)^3-5(0)^2-25(0)+125

Simplifying the terms, we get;

f(x)=0-5(0)-25(0)+125

f(x)=0-0-0+125

f(x)=125

Thus, the value of y is 125.

Hence, the y - intercept is 125.

Therefore, the coordinates of the y - intercept are (0,125)

Hence, Option C is the correct answer.

7 0
3 years ago
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