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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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What is the answer to this quation

svetlana [45]

Answer:

Step-by-step explanation:

g(t)=t^2 - t

f(x) = (1 + x)

g(f(x)) = f(x)^2 - f(x)

g(f(x)) = (x + 1)^2 - x - 1

g(f(0)) = (0 +1)^2 - x - 1

g(f(0)) = 1 - 1 - 1 = -1

================================

f(x) = 1 + x

f(g(t)) = 1 + g(t)

f(g(t)) = 1 + t^2 - t

f(g(0)) = 1 + 0 - 0

f(g(0)) = 1

The answer I'm getting is 0.

8 0

3 years ago

Which number produces a rational number when multiplied by 0.5?

irakobra [83]

6 because it makes 3

8 0

3 years ago

Circles M and K are congruent, QR is congrent to LN. Find the length of QR

Novosadov [1.4K]

Given QR is congrent to LN and QR = 4x + 2 and LN = x + 7.

So, QR = LN

Hence, we can set up an equation as following:

4x + 2 = x + 7

4x + 2 - x = x + 7 - x Subtract x from each sides.

3x + 2 = 7 By simplifying.

3x + 2 - 2 = 7 - 2 Subtract 2 from each sides.

3x = 5

$\frac{3x}{3} =\frac{5}{3}$ Divide each sides by 3 to isolate x.

So, $x=\frac{5}{3}$

Next step is to plug in $x=\frac{5}{3}$ in QR = 4x+2 to get length of QR.

So, $QR = 4(\frac{5}{3})+2$

$=(\frac{20}{3})+\frac{2}{1}$ Since 2 can be written as 2/1.

By multiplying the second fraction by the common denominator 3.

$=(\frac{20}{3})+\frac{2*3}{1*3}$

$=(\frac{20}{3})+\frac{6}{3}$ By simplifying the second fraction.

$=(\frac{26}{3})$

So, $QR=\frac{26}{3}$

5 0

3 years ago

Lilly takes a train each day to work that averages 35 miles per hour. On her way home, her train ride follows the same path and

Klio2033 [76]

Answer: $2.5=\frac{n}{35}+\frac{n}{45}$

Step-by-step explanation:

1. To find the equation asked, you must add the times:

$t_{total}=t_1+t_2$

Where $t_1$ is the time takes Lilly in her path to work and $t_2$ is the time takes Lilly in her path to home.

2. You must use the following formula of speed and solve for the time

$V=\frac{n}{t}$

Where n is the distance, V is the speed and t is the time.

3. You know that Lilly takes a train each day to work that averages 35 miles per hour, then, you can write the following expression:

$35=\frac{n}{t_1}\\t_1=\frac{n}{35}$

4. And her train ride follows the same path at 45 miles per hour:

$45=\frac{n}{t_2}\\t_2=\frac{n}{45}$

5. Then, you obtain the following equation:

$2.5=\frac{n}{35}+\frac{n}{45}$

5 0

3 years ago

Read 2 more answers

Write the equation of a line in slope intercept form of a line that has a slope of 1/2 and contains (-4,1)

Delicious77 [7]

The general form of the line is:
y = mx + c where:
m is the slope
c is the y-intercept

Now, we are given that the slope = 1/2.
The equation now became:
y = (1/2) x + c

Now, we need to get the y-intercept. We are given that (-4 ,1) belongs to the line. Therefore, this point satisfies the equation of the line. Based on this, we will substitute with this point in the equation above and solve for c as follows:
y = (1/2) x + c
1 = (1/2)(-4) + c
1 = -2 + c
c = 1+2
c = 3

Based on the above, the equation of the line is:
y = (1/2) x + 3

6 0

3 years ago