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fgiga [73]
3 years ago
5

Given the slope m=4 what is the perpendicular slope

Mathematics
1 answer:
ELEN [110]3 years ago
8 0
When a line is perpendicular, the slope is the negative reciprocal. Therefore, since the slope is 4, the slope of a line perpendicular is -1/4
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Find the exact value of the indicated trigonometric functions for the acute angle a:
amid [387]

Tan=24/10 ≈ 2.4

using Pythagoras theorem

x²=(24)²+(10)²

x²=576+100

x²=57600

x=√57600 => 240

Therefore

sina=24/240 => 0.1

cota=1/tana => 1/(24/10) => 10/24

7 0
3 years ago
Given the graph above find an equation for the graph and write your anwser in slope intercept form
lys-0071 [83]

<u>Given:</u>

Given that the graph of a linear function.

We need to determine the equation of the graph in slope intercept form.

<u>Slope</u>:

Consider any two coordinates from the equation of the line to determine the slope.

Let the two coordinates are (-4,3) and (4,-1)

The slope can be determined using the formula,

m=\frac{y_2-y_1}{x_2-x_1}

Substituting the coordinates in the above formula, we get;

m=\frac{-1-3}{4+4}

m=\frac{-4}{8}

m=-\frac{1}{2}

Thus, the slope of the equation is m=-\frac{1}{2}

<u>Value of y - intercept:</u>

The value of y - intercept is the value of y when x = 0.

Hence, from the graph, it is obvious that the value of y when x = 0 is 1.

Hence, the value of y - intercept is 1.

Thus, y - intercept is b=1

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

y=mx+b

Substituting the slope m=-\frac{1}{2} and the y - intercept b=1

Thus, we get;

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

Thus, the equation of the line is y=-\frac{1}{2}x+1

5 0
3 years ago
Please help! The question and answer choices are attached.
alexandr1967 [171]
The answer is B The function shown on the graph has a smaller rate of change but a higher starting point
6 0
3 years ago
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6 0
3 years ago
How do i solve this inequality? Number 46
myrzilka [38]
6(x-2.5) ≥ 8-6(3.5+x)

A number is before a parenthesis. The first step is to multiply.

6(x-2.5) = 6x -15

8-6(3.5+x)
2(3.5+x)= 7+2x

6x-15≥7+2x

Now solve

6x-15≥7+2x
-2x -2x

(-2x+2x)= They cancel out

(6x-2x)= 4x

4x-15≥7
+15 +15

4x≥22
/4 /4

You get= x≥5.5
7 0
3 years ago
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