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3 years ago

What is the slope of a line that is perpendicular to 8x+4y=2

Mathematics

1 answer:

il63 [147K]3 years ago

4 0

Answer:

$\frac{1}{2} = m$

Step-by-step explanation:

8x + 4y = 2

-8x - 8x

____________

4y = -8x + 2

__ _______

4 4

y = -2x + ½

↑

rate of change [slope]

* Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE RATE OF CHANGES [SLOPES]:

-2 → ½

I am joyous to assist you anytime.

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If the scale factor of two similar cylinders is 4:7, what is the volume ratio?

jekas [21]

Answer:

64 : 343

Step-by-step explanation:

When working with scale factors

Lengths are related by the scale factor

perimeters are related by the scale factor

areas are related by the scale factor squared

volumes are related by the scale factor cubed

The scale factor is 4:7

The volumes are related by 4^3 : 7^3

64 : 343

3 0

3 years ago

Read 2 more answers

PLEASE HELP !!!!!!! Jordan got a new money bank for his birthday with $20 inside. He puts part of his weekly allowance in his ba

kupik [55]

Answer:

Slope of the function is $=3.75$ ,Y-intercept $=20$ .

The function is $y=3.75(x)+20$ with initial value $=20$ ,Jordan puts $\$3.75$ each week andthe amount saved by Jordan after $52$ week $=215\$$ .

Step-by-step explanation:

To understand the slope and y-intercept lets assign $x$ as number of weeks and $y$ as the money saved by Jordan.

Jordan is already having a sum of $\$20$ inside the money bank so in $0$ week the amount is $\$20$ can be written as $(x,y) =(0,20)$ in coordinate form.

SImilarly

We have $(x,y) =(0,20)$ and $(x_1,y_1) =(25,113.75)$

Part A:

The function is $y=m(x)+b$

From point-slope form,we have slope (m)

and $m=\frac{y_1-y}{x_1-x}$ ,plugging the values of the points.

$m=\frac{113.75-20}{25-0}=3.75$

Y-intercept of this function is the constant term or the money of $\$20$ that is already inside the money bank.

We can also calculate y-intercept by arranging the function as $b=y-m(x)$ choosing any $(x_1,y_1) = (25,113.75)$ coordinate and here $b$ is the y-intercept.

The result will be same.

Part B:

The equation $y=3.75(x)$ can represent the function described.

And the initial value is the y-intercept $=\$20$

Jordan puts $3.75$ in his bank each week.

After $52$ week the amount saved by Jordan ,here $x=52$ ,as the x-variable is the number of weeks.

Plugging the value of $x=52$ in $y=m(x)+b$ where $m=3.75$ so the equation becomes $y=3.75(x)+20$

$y=3.75(x)+20 =3.75(52)+20=\$215$

So basically the function is $y=3.75(x)+20$ and the amount saved by Jordan after $52$ week $=215\$$ .

6 0

3 years ago

Write and expression and determine which function. Please help with these questions.

True [87]

B 39t

C is a function

6 0

3 years ago

What is the square root of: a) 58.82 b) 10

natka813 [3]

Square root of A= 7.66 ( Took the first 2 numbers after the decimal.)
Square root of B= 3.16 (Took the first 2 numbers after the decimal.)
HOPE THIS HELPS! ^_^

7 0

3 years ago

Find the diameter(s) of circle O.

schepotkina [342]

Answer:

The diameter of the circle O is 12 units

Step-by-step explanation:

There is no data in the image provided. To better help you, I'm assuming we have an arbitrary value of

$BC=6\sqrt{2}$