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4 years ago

Is (-2) with the exponent 9 positive or negative

Mathematics

1 answer:

antiseptic1488 [7]4 years ago

4 0

Answer:

negative

Step-by-step explanation:

A negative value raised to an even exponent is positive

A negative value raised to an odd exponent is negative

$(-2)^{9}$ = - 512 ← negative

$(-2)^{8}$ = 256 ← positive

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Write an equation in slope-intercept form for the line that has the given slope and contains the point. Please show some work.(

zavuch27 [327]

Answer:

An equation in the slope-intercept form will be:

$y=\frac{-1}{2}x+0$

Step-by-step explanation:

Given the points

(4,-2)

(2,-1)

Finding the slope between points

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(4,\:-2\right),\:\left(x_2,\:y_2\right)=\left(2,\:-1\right)$

$m=\frac{-1-\left(-2\right)}{2-4}$

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

We know that the slope-intercept form of the line equation is

$y=mx+b$

where m is the slope and b is the y-intercept.

substituting the values m=-1/2 and the point (4, -2) to determine the y-intercept i.e. 'b'.

$y=mx+b$

$-2=\frac{-1}{2}\left(4\right)+b$

$-2+b=-2$

$b=0$

substituting the values m=-1/2 and b=0 to determine the line equation in slope-intercept form

$y=mx+b$

$y=\frac{-1}{2}x+0$

Thus, an equation in the slope-intercept form will be:

$y=\frac{-1}{2}x+0$

8 0

3 years ago

Simplify as far as possible without a calculator. (7+2√2)(7−2√2)

bogdanovich [222]

Answer:

Step-by-step explanation:

Given

(7 + 2 $\sqrt{2}$ )(7 - 2 $\sqrt{2}$ ) ← expand factors using FOIL

= 7² - 2 $\sqrt{2}$ + 2 $\sqrt{2}$ - (2 $\sqrt{2}$ )² ← collect like terms

= 49 - 8

= 41

5 0

4 years ago

(1/3+5/6)*m ( let m=1/4

olga55 [171]

Answer:

The value of $\left(\frac{1}{3}+\frac{5}{6}\right)\cdot m$ when $m=\frac{1}{4}$ would be:

$\left(\frac{1}{3}+\frac{5}{6}\right)\frac{1}{4}=\frac{7}{24}$

Step-by-step explanation:

Considering the expression

$\left(\frac{1}{3}+\frac{5}{6}\right)\cdot m$

$m=\frac{1}{4}$

As the expression is

$\left(\frac{1}{3}+\frac{5}{6}\right)\cdot m$

Putting $m=\frac{1}{4}$ in the given expression would bring:

$\left(\frac{1}{3}+\frac{5}{6}\right)\cdot m$

$\left(\frac{1}{3}+\frac{5}{6}\right)\frac{1}{4}$

$\mathrm{Join}\:\frac{1}{3}+\frac{5}{6}:\quad \frac{7}{6}$

$=\frac{7}{6}\cdot \frac{1}{4}$

$\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}$

$=\frac{7\cdot \:1}{6\cdot \:4}$

$\mathrm{Multiply\:the\:numbers:}\:7\cdot \:1=7$

$=\frac{7}{6\cdot \:4}$

$\mathrm{Multiply\:the\:numbers:}\:6\cdot \:4=24$

$=\frac{7}{24}$

Therefore, the value of $\left(\frac{1}{3}+\frac{5}{6}\right)\cdot m$ when $m=\frac{1}{4}$ would be:

$\left(\frac{1}{3}+\frac{5}{6}\right)\frac{1}{4}=\frac{7}{24}$

Keywords: algebraic expression

Learn more about simplifying algebraic expression from brainly.com/question/4687406

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5 0

4 years ago

2x+90=7x please explain it step-by-step

horrorfan [7]

Answer:

Step-by-step explanation:

2x+90=7x

2x=7x-90

2x-7x=-90

-5x+-90

x=18

6 0

3 years ago

Read 2 more answers

James is putting a fence around his square yard. The area of his yard is 100 square feet. How much fencing does James need in to

gtnhenbr [62]

Answer:

40 ft.

Step-by-step explanation:

Because James's yard is a square, we can take the square root of the area to find the side length. The square root of 100 is 10, so we know that one side of his yard will require 10 feet of fencing. Since the yard has 4 sides, we simply need to do 4 * 10 = 40 ft of fencing.

Hope this helps!

3 0

3 years ago