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3 years ago

What are the solutions to 4(x+5)^2=4?

2 answers:

6 0

First, simplify both sides of the equation: 4x^2 + 40x + 100 = 4. Then, subtract 4 from both sides: 4x^2 + 40x + 96 = 0. Now, you can factor the left side of the equation: 4(x + 4)(x + 6) = 0. You can now set factors to 0, which will leave you x + 4 = 0 and x + 6 = 0. To find x, simply subtract 4 and 6 from both sides. You answer would be x = -4 and x = -6.

aleksandr82 [10.1K]3 years ago

4 0

(X+5)²=4/4
X+5=1, X+5=-1
X=1-5 X=-1-5
X=-4 X=-6

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A line has the same slope as the line 3x+9y=5 and passes though the point (-1,2).what is the equation of the line?

MrRissso [65]

Answer:

y = -1/3x + 5/3

Step-by-step explanation:

First solve the equation. Simply put it is y = -1/3x + 5/9.

So, we have our slope which is -1/3. Now just plug it in.

y - y1 = m(x - x1)

y - 2 = -1/3(x - (-1))

Distribute.

y - 2 = -1/3x - 1/3

Add 2 to both sides

you get y=-1/3x + 5/3

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3 years ago

Your friend claims that it is possible to draw a right triangle where the cosine of either angle (theta) is exactly the same val

avanturin [10]

Answer:

B. No

$Cos \ \theta\neq Cos (90-\theta)\textdegree$

Step-by-step explanation:

-A right angle triangle has two complimentary acute angles and one right angle.

- $\theta$ is usually one of the acute angles and is equivalent to 90º minus it's complimentary acute angle.

-Complimentary angles add up to 90º.

#For complimentary angles:

$Sin \ \theta=Cos \ (90-\theta)\textdegree\\\\Cos \ \theta=Sin(90-\theta)\textdegree\\\\\therefore Cos \ \theta\neq Cos (90-\theta)\textdegree$

The two acute angles cannot have the same Cosine value.

Hence, she's not correct.

5 0

2 years ago

Select all the correct answers.

Lena [83]

An expression is defined as a set of numbers, variables, and mathematical operations. The correct options are A and C.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given exponential (6⁻¹⁰/6⁻⁴) function can be simplified as shown below,

(6⁻¹⁰/6⁻⁴)

= 6⁻¹⁰ × 6⁴

= 6⁽⁻¹⁰⁺⁴⁾

= 6⁻⁶

= 1/6⁶

Hence, the correct options are A and C.

Learn more about Expression:

brainly.com/question/13947055

#SPJ1

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1 year ago

What is the quotient? 7) 126 А. 16 B. 17 С 18 D 19

Hunter-Best [27]

Answer:

Step-by-step explanation:

The quotient is 18

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2 years ago

What is the result when 12x} + 17x² + 18x + 9 is divided by 4x + 3?

melamori03 [73]

Answer:

17x^2+31x+3

Step-by-step explanation:

4 0

2 years ago