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3 years ago

What are the solutions to 2(x-7)^2 = 32?

Mathematics

1 answer:

MariettaO [177]3 years ago

3 0

$2(x-7)^2 = 32\\
(x-7)^2=16\\
x-7=-4 \vee x-7=4\\
x=3 \vee x=11
$

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). A construction

charle [14.2K]

Answer:

$y=\frac{11}{20}x+6$

Step-by-step explanation:

Given:

Two points are given

x = number of minutes

y = length of the lin

$(x_{1},y_{1} )$ ⇒ (0, 6)

$(x_{2},y_{2} )$ ⇒ (20, 17)

We need to find the equation that represents the relationship between x, y.

Solution:

Using slope formula to find the slope of the equation of the line.

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substitute $(x_{1},y_{1} )$ = (0, 6) and $(x_{2},y_{2} )$ = (20, 17) in above equation.

$m=\frac{17-6}{20-0}\\m=\frac{11}{20}$

So, slope of the line $m = \frac{11}{20}$

Using point slope formula.

$(y-y_{1})=m(x-x_{1})$ ------------(1)

Where, m = slope of the line

Substitute $(x_{1},y_{1} )$ ⇒ (0, 6) and $m = \frac{11}{20}$ in equation 1.

$(y-6)=\frac{11}{20} (x-0)$

$y-6=\frac{11}{20}x$

Add 6 both side of the equation.

$y-6+6=\frac{11}{20}x+6$

$y=\frac{11}{20}x+6$

Therefore, the equation that represents the relationship between x and y is written as:

$y=\frac{11}{20}x+6$

6 0

4 years ago

A person accumulates 163,000 grams of trash each year how many kilograms are in this amount

Maurinko [17]

1g= 0.001 kg

163000 * 0.001 = 163 kg

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3 years ago

What is the distance between points B and C

Alborosie

Answer:

Step-by-step explanation:

I hope this helps

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3 years ago

Pamelas age is. 2 times jiris age. The sum of their ages is 30.what is jiris age?

Anettt [7]

Answer: 10

p = Pamela’s age, j = Jiris’ age

2j = p
p + j = 30

Then change things around a bit...
p + j = 30 or
30 - p = j

Then substitute
2(30 - p) = p

And solve
2(30 - p) = p
60 - 2p = p
60 = 3p
p = 20

6 0

3 years ago

Read 2 more answers

The sum of the first n terms of an arithmetic sequence is 242. If the first term is 12 and the last term is 42, find the value o

den301095 [7]

Answer:

Step-by-step explanation:

Sum of first n terms = 243

$a_{1} = 12 \\\\l = 42\\\\S_{n} = \dfrac{n}{2}(a_{1}+l)\\\\\dfrac{n}{2}(12+42) = 243\\\\\\\dfrac{n}{2}*54=243\\\\\\n*27=243\\\\n=\dfrac{243}{27}\\\\n=9$

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3 years ago