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3 years ago

Solving Quadratics by Factoring

Mathematics

1 answer:

alexgriva [62]3 years ago

7 0

Answer:

x=2 and x=-5

Step-by-step explanation:

factoring the equation

x^2+6x-4-3x-6=0

x^2+3x-10=0

(x-2)(x+5)=0

x=2 and x=-5

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Which choice is the equation of a line that passes through (9, -3) and is parallel to the line represented by this equation? y=5

miskamm [114]

Answer:

$y+3=\frac{5}{3}(x-9)$ or $y=\frac{5}{3}x-18$

Step-by-step explanation:

step 1

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are the same

we have

$y=\frac{5}{3}x-4$

therefore

The slope m of the line parallel to the given line is

$m=\frac{5}{3}$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=\frac{5}{3}$

$point\ (9,-3)$

substitute

$y+3=\frac{5}{3}(x-9)$ ----> equation of the line in point slope form

step 3

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$y+3=\frac{5}{3}(x-9)$

Isolate the variable y

$y+3=\frac{5}{3}x-15$

$y=\frac{5}{3}x-15-3$

$y=\frac{5}{3}x-18$

7 0

3 years ago

What is 20% of 1/3 ???????

nata0808 [166]

The answer is 0.6666666666 but to simplify it you can put 0.6

8 0

3 years ago

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One day at school you make the observations that kids in 12th grade are taller than kids in 9th grade. What does this illustrate

beks73 [17]

Answer: B correlation

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3 years ago

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Let f(x) = |x| for all real numbers x. Write the formula for the function represented by the described

Ostrovityanka [42]

Answer:

$y=(\frac{1}{3}f(x-3))-1$

Step-by-step explanation:

Please see the picture below.

1. Given the function f(x) = |x|, applying a vertical stretch with scale factor $\frac{1}{3}$ , we have the transformed function:

$y=\frac{1}{3}f(x)$

2. Applying a translation of 3 units to the right, we have:

$y=\frac{1}{3}f(x-3)$

3. Finally applying a translation down of 1 unit, we have:

$y=(\frac{1}{3}f(x-3))-1$

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3 years ago

The sum of the angle measures of the polygon is 540°. Write and solve an equation to find the value of x.

leva [86]

Let's set the measure of each angle equal to 540 degrees.

4x + 4x + 5x + 2 + 96 + 5x - 8 = 540

Combine like terms.

18x + 90 = 540

Subtract 90 from both sides.

18x = 450

Divide both sides by 18

x = 25

8 0

4 years ago