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3 years ago

How to solve by factoring 16x^=121

1 answer:

5 0

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Equation Given :
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16x² = 121

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Take away 121 from both sides:
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16x² - 121 = 0

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Make each term a perfect square
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(4x)² - (11)² = 0

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Apply algebraic rule : a² - b² = (a + b)(a - b)
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(4x + 11) (4x - 11) = 0

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Apply zero product property :
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4x + 11 = 0 or 4x - 11 = 0

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Solve for x :
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4x = - 11 or 4x = 11
x = -11/4 or x =11/4

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Answer: x = -11/4 or x = 11/4
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alexandr1967 [171]

Answer:

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Step-by-step explanation:

Step 1: Write equation

-4(-5x + 2) - 3x - 5 = -30

Step 2: Solve for x

Distribute -4: 20x - 8 - 3x - 5 = -30

Combine like terms: 17x - 13 = -30

Add 13 on both sides: 17x = -17

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3 years ago

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1. The ratio of students in 8th grade that preferred math

Marta_Voda [28]

Answer:

a. 180

Step-by-step explanation:

$\frac{4x}{10}$ = $\frac{72}{1}$

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3 years ago

Find the area of the following polygon:

Masja [62]

Given:

ABCD is a quadrilateral

AC = 12, DE = 4 and FB = 5

To find:

The area of the polygon.

Solution:

AC bisects the quadrilateral into two triangles.

Area of triangle:

$$A=\frac{1}{2}\times\text{base}\times\text{height}$

Area of triangle DAC:

$$A=\frac{1}{2}\times AC \times DE$

$$A=\frac{1}{2}\times 12 \times 4$

$A=24$

Area of triangle DAC = 24 square units.

Area of triangle BAC:

$$A=\frac{1}{2}\times AC \times FB$

$$A=\frac{1}{2}\times 12 \times 5$

$A=30$

Area of triangle BAC = 30 square units.

Area of polygon = Area of triangle DAC + Area of triangle BAC

= 24 square units + 30 square units

= 54 square units

The area of the polygon is 54 square units.

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3 years ago

HELP PLZ FAST!!!!!!!!!!!!!!!

Tema [17]

Answer:

do u have any options to answer it

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A right triangle has an angle that measures 47°. What is the measurement of the third angle in the triangle?

Allushta [10]

Answer:

43 degrees

Step-by-step explanation:

every triangle all three angles equal 180 for a right triangle you know that one angle is 90 degrees for this triangle we know that another angle is 47 so

90+47 = 137 now we can take 180 - 137 = 43

so your third angle is 43

hope I helped!!

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3 years ago