441 is 63% of what number????????????????????????????? help

Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation?

IrinaVladis [17]

$\large\begin{array}{l} \textsf{So the question gives us this equation:}\\\\ \mathsf{x^2+10x=24}\\\\ \mathsf{x^2+2\cdot 5x=24}\\\\ \textsf{In order to complete the square on the left side, just add }\mathsf{5^2}\\\textsf{to both sides of the equation above:}\\\\ \mathsf{x^2+2\cdot 5x+5^2=24+5^2}\\\\ \mathsf{x^2+5x+5x+5^2=24+25}\\\\ \mathsf{x(x+5)+5(x+5)=49} \end{array}$

$\large\begin{array}{l} \mathsf{(x+5)(x+5)=49}\\\\ \mathsf{(x+5)^2=49}\\\\\\ \textsf{So,}\\\\ \mathsf{x+5=\pm\,\sqrt{49}}\\\\ \mathsf{x+5=\pm\,7}\\\\ \mathsf{x=\pm\,7-5} \end{array}$

$\large\begin{array}{l} \begin{array}{rcl} \mathsf{x=-7-5}&~\textsf{ or }~&\mathsf{x=7-5}\\\\ \mathsf{x=-12}&~\textsf{ or }~&\mathsf{x=2} \end{array}\\\\\\ \textsf{Solution set: }\mathsf{S=\{-12,\,2\}.}\qquad\checkmark \end{array}$

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$\large\textsf{I hope it helps. :-)}$

Tags: solve quadratic equation completing square solution algebra

7 0

3 years ago

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The perimeter of a square is 52 cm. Calculate the area of the square

Nonamiya [84]

Answer:

$169cm^2$

Step-by-step explanation:

The perimeter is the sum of the side lengths of the shape. Since a square has equal side lengths, each side must be the same. Divide 52/4=13cm. 13cm is the length of 1 side. Area is length times width, and since each side is 13, multiply 13cm*13cm to get the area, which is $169cm^2$ ,

If this helped, brainliest answer would be greatly appreciated!

4 0

3 years ago

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It seemed like the graduation speech would last forever. Tyler leaned over to his father and asked in a discreet whisper, ''What

NeX [460]

Answer:

1:30 pm

Step-by-step explanation:

1/4 of an hour is 1/4 of 60 minutes, or 15 minutes

15 minutes past 1:15 would be 1:30 pm

4 0

3 years ago

The trucking company needs to deliver to deliver 1 2/3 tons of oak logs and one and 1 7/12 tons of maple logs. Which load weighs

kondaur [170]

The 1 2/3 ton of oak logs weighs more

8 0

3 years ago

Use 3.14 for PI( π ) Diameter: 5 ft Formula: A= πr2

Liula [17]

Answer:

$\boxed {\boxed {\sf 19.625 \ ft^2}}$

Step-by-step explanation:

The area of a circle is found using this formula:

$a= \pi r^2$

We know the circle's diameter is 5 feet, but we don't know the radius. Remember the diameter passes through the center from one side to the other, while the radius connects the center and the side. Therefore, the radius is half the diameter.

r=d/2
r= 5 ft/2
r= 2.5 ft

We know the radius is 2.5 feet and we are using 3.14 for pi. Substitute the values into the formula.

$a= (3.14)* (2.5 \ ft)^2$

Solve the exponent.

(2.5 ft)²= 2.5 ft *2.5 ft=6.25 ft²

$a= (3.14)*(6.25 \ ft^2)$

Multiply.

$a=19.625 \ ft^2$

The area of the circle is 19.625 square feet.

4 0

3 years ago