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IrinaVladis [17]

2 years ago

12

What is the slope of the line?

2 answers:

Rashid [163]2 years ago

4 0

Answer:

-2/1

Step-by-step explanation:

Hope this helped!

kherson [118]2 years ago

4 0

Answer:

easy, the slope is -2/1.

Step-by-step explanation:

i found this out because you can see your y intercept is 2. you start at two then follow the line, and you go down two units (-2) and go right one unit. this equates to -2/1, which, is your slope. hope this helped!!

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Solve the equation (linear equation)<br><br> <img src="https://tex.z-dn.net/?f=8%5E%7B2x%2B7%7D%20%3D%20%28%5Cfrac%7B1%7D%7B32%7

Minchanka [31]

Answer: $x=-1$

Step-by-step explanation:

By the negative exponent rule, you have that:

$(\frac{1}{a})^n=a^{-n}$

By the exponents properties, you know that:

$(m^n)^l=m^{(nl)}$

Therefore, you can rewrite the left side of the equation has following:

$(\frac{1}{8})^{-(2x+7)}=(\frac{1}{32})^{3x}$

Descompose 32 and 8 into its prime factors:

$32=2*2*2*2*2=2^5\\8=2*2*2=2^3$

Rewrite:

$(\frac{1}{2^3})^{-(2x+7)}=(\frac{1}{2^5})^{3x}$

Then:

$(\frac{1}{2})^{-3(2x+7)}=(\frac{1}{2})^{5(3x)}$

As the base are equal, then:

$-3(2x+7)=5(3x)$

Solve for x:

$-6x-21=15x\\-21=15x+6x\\-21=21x\\x=-1$

8 0

3 years ago

Find the area of the shape.

solniwko [45]

Answer:

the area is 50.24

Step-by-step explanation:

to find the area of a quarter circle, use the formula <u>π x r^2</u>

4

6 0

2 years ago

Through: (-5, -3), perp. to y=-9/4x-5

Mrrafil [7]

Given:

A line passes through (-5,-3) and perpendicular to $y=-\dfrac{9}{4}x-5$ .

To find:

The equation of the line.

Solution:

We have,

$y=-\dfrac{9}{4}x-5$

On comparing this equation with slope intercept form, i.e., $y=mx+b$ , we get

$m_2=-\dfrac{9}{4}$

It means, slope of this line is $-\dfrac{9}{4}$ .

Product of slopes of two perpendicular lines is always -1.

$m_1\times m_2=-1$

$m_1 \times \left(-\dfrac{9}{4}\right)=-1$

$m_1=\dfrac{4}{9}$

Slope of required line is $\dfrac{4}{9}$ and it passes through the point (-5,-3). So, the equation of the line is

$y-y_1=m(x-x_1)$

where, m is slope.

$y-(-3)=\dfrac{4}{9}(x-(-5))$

$y+3=\dfrac{4}{9}(x+5)$

$9(y+3)=4(x+5)$

$9y+27=4x+20$

$27-20=4x-9y$

$7=4x-9y$

Therefore, the equation of required line is $4x-9y=7$ .

8 0

3 years ago

PLEASE HELP YOU’LL GET 15 POINTS<br><br> 358.41x10^5 in standard form

Aleks04 [339]

Answer:

35,841,000

Step-by-step explanation:

358.41x10^5

Move the decimal 5 places to the right

35,841,000

5 0

2 years ago

What is the solution to the equation t minus 15 = 76?

Phoenix [80]

Answer:

4. / D.

Step-by-step explanation:

$t-15=76\\t=76-15\\t=61$

8 0

1 year ago