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PSYCHO15rus [73]
3 years ago
7

What is the slope of the line represented by the equation y = y equals 4 Over 5

Mathematics
2 answers:
Kruka [31]3 years ago
6 0
<h2>Answer:</h2>

The slope of the given line is:

                        \dfrac{4}{5}

<h2>Step-by-step explanation:</h2>

We know that if a line is represented in the slope intercept form i.e.

             y=mx+c

then m represents the slope of the line and c represents the y-intercept of the line.

Here we are given a equation of a line as follows:

                y=\dfrac{4}{5}x-3

i.e. on comparing the equation with  the slope-intercept form of the line we have the slope  of the line is:

             m=\dfrac{4}{5}

OLEGan [10]3 years ago
4 0

\bf y= \stackrel{\stackrel{m}{\downarrow }}{\cfrac{4}{5}}x-3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

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3 years ago
Two figures are similar with a scale factor of 5/2.
aev [14]

Answer:

If we have two figures, F and F'

Such that if we start with F, and dilate it with a scale factor K, we get F'.

We will have:

All the measures of F', are K times the correspondent measures of F.

Then if F has  s₁, s₂, ..., sₙ sides, the sides of F' will be:

K*s₁, K*s₂, ..., K*sₙ

The ratio between correspondent sides will be equal to K

The ratio between perimeters will also be equal to K (because the perimeter is the sum of all the sides of each figure, so we can just take K as a common factor)

In the case of the area, because we usually multiply a measure by another, a factor K^2 will  appear, and the quotient between the areas is K^2

And finally, for the volumes, the ratio will be K^3

a) The ratio of corresponding lengths is K, in this case is 5/2

b) The ratio of the perimeters is K, in this case is 5/2

c) The ratio of the areas is K^2, in this case is (5/2)^2 = 25/4

d) The ratio of the areas is K^3, in this case is (5/2)^3 = 125/8

e) Two figures are similar if the figures have the same shape, then the corresponding angles are exactly the same, then the ratio of corresponding angle measures is 1.

6 0
3 years ago
Which expression is equivalent to that
kari74 [83]

Answer:

3. 9x

4. D. -5v + 4

Step-by-step explanation:

3. (-3+12)v

= 9v

4. Combine like terms:

(-2v - 3v) + (8 - 4)

= -5v + 4

6 0
3 years ago
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8 0
4 years ago
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Leona [35]

Answer:

x=±1. are the factors of the quadratic equation.

Step-by-step explanation:

Given quadratic expression, f(x)=-12x - 2x + 60x² +14x-60

Rearranging and adding the terms in the expression and equating to zero.

f(x)= 60x² -60=0

60(x² - 1) =0

The zero product property states that if the product of a⋅b=0 then either a or b equal zero or both of them must be equal to zero. This basic property helps us solve the quadratic equations like (x+2)(x-5)=0 where x =-2,5.

from the zero product property we can infer that 60≠0⇒x² - 1=0

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Therefore, x=±1. are the factors of the quadratic equation.

3 0
4 years ago
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