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3 years ago

What is the slope of the line that is perpendicular to the line represented by the

Mathematics

1 answer:

Radda [10]3 years ago

3 0

Answer:

-4

Step-by-step explanation:

The equation of line one is;

y = 1/4x + 5

The slope of this line is $\frac{1}{4}$

Let the slope of line two be 'a'.

a × $\frac{1}{4}$ = -1 (the product of slopes of two perpendicular lines is equal to -1)

a = -1 ÷ $\frac{1}{4}$ = -4

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Cheese has holes.

guapka [62]

Answer:

Yes.

Step-by-step explanation:

Lets say the first cheese has 1 hole, if you add more cheese it will have 2 holes. the more holes you have the less cheese you will have. if this continued you would eventually get less cheese.

4 0

2 years ago

Read 2 more answers

the length of the shadow of a pole on level ground increases by 90m when the angle of elevation of the sun changes from 58 degre

Mama L [17]

Step-by-step explanation:

(A) Let a triangle be formed with height of pole h, length of base b and angle of elevation 58°. (Due to lack of a figure).

Tan 58° = h / b = 1.6

(B) Let another triangle be formed with height of pole h, length of base (b + 90) and angle of elevation 36°. (Due to lack of a figure).

Tan 36° = h / (b + 90) = 0.72

1.6b = 0.72b + 64.8

b = 64.8 / 0.88 = 73.6 m

h (height of pole) = 1.6 * 73.6 = 117.76 m

4 0

3 years ago

13. Write an equation for the given function given the amplitude, period, phase shift, and vertical shift.

aev [14]

Answer:

$y=4sin(\frac{\pi}{2} x+\pi)-2$

Step-by-step explanation:

The equation of a periodic function is in the form:

y = Asin(Bx + C) + D

Where A = amplitude, B = 2π / period, D = vertical shift, phase shift = -C / B.

Given that:

amplitude: 4, period 4 phase shift = vertical shift = -2

Hence:

A = amplitude = 4, B = 2π / period = 2π / 4 = π / 2, D = vertical shift = -2.

Phase shift = -C / B

C = -phase shift * B = - * -2 * π / 2 = π.

Therefore substituting gives:

$y=4sin(\frac{\pi}{2} x+\pi)-2$

8 0

3 years ago

5c-1÷4=4+10c÷9 is there a solution or no solution and if there is I would like to see the steps in solving this equation so I ca

vekshin1

I don’t think this will help exactly but I hope it does x

6 0

4 years ago

What’s the x and y intercepts of this equation: -3x-7y=84

Arlecino [84]

Answer:

The X and Y intercepts to the equation -3x - 7y = 84 is

x-intercept (s): (−28,0)

y-intercept (s): (0,−12)

Step-by-step explanation:

To find the x-intercept(s), substitute in 0 for y and solve for x

−3x−7⋅0=84

Solve the equation.

x=−28

x-intercept(s) in point form.

x-intercept (s): (−28,0)

To find the y-intercept(s), substitute in 0 for x and solve for y .

−3⋅0−7y=84

Solve the equation.

y=−12

y-intercept(s) in point form.

y-intercept (s): (0,−12)

Hope this helps.

4 0

4 years ago