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Harrizon [31]
3 years ago
14

Write the​ slope-intercept equation for the line with the given slope that contains the given point. m=-4;(-3,-2)

Mathematics
1 answer:
Klio2033 [76]3 years ago
5 0

Answer:

  y = -4x -14

Step-by-step explanation:

The point-slope form of the equation of a line with slope m through point (h, k) is ...

  y -k = m(x -h)

For the given point and slope, this is ...

  y +2 = -4(x +3)

Solving for y, we get ...

  y = -4x -12 -2

  y = -4x -14

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Which is the value of the expression (StartFraction (10 Superscript 4 Baseline) (5 squared) Over (10 cubed) (5 cubed)) cubed?
Flura [38]

Answer:

The value to the given expression is 8

Therefore \left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=8

Step-by-step explanation:

Given expression is (StartFraction (10 Superscript 4 Baseline) (5 squared) Over (10 cubed) (5 cubed)) cubed

Given expression can be written as below

\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3

To find the value of the given expression:

\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=\frac{((10^4)(5^2))^3}{((10^3)(5^3))^3}

( By using the property ((\frac{a}{b})^m=\frac{a^m}{b^m} )

=\frac{(10^4)^3(5^2)^3}{(10^3)^3(5^3)^3}

( By using the property (ab)^m=a^mb^m )

=\frac{(10^{12})(5^6)}{(10^9)(5^9)}

( By using the property (a^m)^n=a^{mn} )

=(10^{12})(5^6)(10^{-9})(5^{-9})

( By using the property \frac{1}{a^m}=a^{-m} )

=(10^{12-9})(5^{6-9}) (By using the property a^m.b^n=a^{m+n} )

=(10^3)(5^{-3})

=\frac{10^3}{5^3} ( By using the property a^{-m}=\frac{1}{a^m} )

=\frac{1000}{125}

=8

Therefore \left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=8

Therefore the value to the given expression is 8

3 0
3 years ago
Read 2 more answers
Express as a difference: a+b, a+5
Tcecarenko [31]

Answer:

a - (-b), a - (-5)

Step-by-step explanation:

A double negative negative is a positive, so a - (-b) = a + b, and a - (-5) is a + 5. However, a double negative is still a difference, so this answer works.

6 0
3 years ago
Please Help!!!
vaieri [72.5K]

I DON'T UNDERSTAND MATH ANYMORE!!!!!!!!

7 0
3 years ago
Product FIFO LIFO
Julli [10]

Answer:

The null hypo would be the difference is greater than 0

so the alternate hypothesis would be less than or equal to 0

H1: µd ≤ 0

8 0
3 years ago
How far apart are the foci of an ellipse with a major axis of 26 feet and a minor axis of 24 feet?
aleksley [76]
<span>Let the major axis = 2a , and the minor axis = 2b
∴ a = 26/2 = 13    and   b = 24/2 = 12
and the equation of foci:
c² = a² - b²
    = 13² - 12² = 169 - 144 = 25
∴ c = √25 = 5

∴ The distance between the foci = 2 * 5 = 10
</span>
3 0
3 years ago
Read 2 more answers
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