F (x) = 4x – 8 X = 1 X= -2 X = -1 X= 2

3c/4 - 2c/4 = 4 (solve with work please)

xxMikexx [17]

Simplifying

2c + 3 = 3c + -4

Reorder the terms:

3 + 2c = 3c + -4

Reorder the terms:

3 + 2c = -4 + 3c

Solving

3 + 2c = -4 + 3c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-3c' to each side of the equation.

3 + 2c + -3c = -4 + 3c + -3c

Combine like terms: 2c + -3c = -1c

3 + -1c = -4 + 3c + -3c

Combine like terms: 3c + -3c = 0

3 + -1c = -4 + 0

3 + -1c = -4

Add '-3' to each side of the equation.

3 + -3 + -1c = -4 + -3

Combine like terms: 3 + -3 = 0

0 + -1c = -4 + -3

-1c = -4 + -3

Combine like terms: -4 + -3 = -7

-1c = -7

Divide each side by '-1'.

c = 7

Simplifying

c = 7

3 0

3 years ago

Given segments AB and CD intersect at E.

nata0808 [166]

The length of a segment is the distance between its endpoints.

$\mathbf{AB = 3\sqrt{2}}$
AB and CD are not congruent
AB does not bisect CD
CD does not bisect AB

(a) Length of AB

We have:

$\mathbf{A = (1,2)}$

$\mathbf{B = (4,5)}$

The length of AB is calculated using the following distance formula

$\mathbf{AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

So, we have:

$\mathbf{AB = \sqrt{(1 - 4)^2 + (2 - 5)^2}}$

$\mathbf{AB = \sqrt{18}}$

Simplify

$\mathbf{AB = 3\sqrt{2}}$

(b) Are AB and CD congruent

First, we calculate the length of CD using:

$\mathbf{CD = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

Where:

$\mathbf{C = (2, 4)}$

$\mathbf{D = (2, 1)}$

So, we have:

$\mathbf{CD = \sqrt{(2 -2)^2 + (4 - 1)^2}}$

$\mathbf{CD = \sqrt{9}}$

$\mathbf{CD = 3}$

By comparison

$\mathbf{CD \ne AB}$

Hence, AB and CD are not congruent

(c) AB bisects CD or not?

If AB bisects CD, then:

$\mathbf{AB = \frac 12 \times CD}$

The above equation is not true, because:

$\mathbf{3\sqrt 2 \ne \frac 12 \times 3}$

Hence, AB does not bisect CD

(d) CD bisects AB or not?

If CD bisects AB, then:

$\mathbf{CD = \frac 12 \times AB}$

The above equation is not true, because:

$\mathbf{3 \ne \frac 12 \times 3\sqrt 2}$

Hence, CD does not bisect AB

Read more about lengths and bisections at:

brainly.com/question/20837270

7 0

3 years ago

Your car averages 380 miles on a 14-gallon tank of gas. You run out of gas on a deserted highway, but have 1/2 gallon of lawn mo

spin [16.1K]

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~~~~

So to solve this, we want to know how many miles can we do in every 1 gallon of gas.

To solve this, we do: 380 / 14 = 27.14 miles for every 1 gallon

Okay, so if we have 1/2 a gallon stashed away, how far can we get on every 1/2 gallon...

To solve this, we do: 27.14 / 2 = 13.57 miles for every 1/2 gallon

So...

The answer is: We will NOT be able to get to the Gas Station that is 15miles away, because we can only go about 13.5 miles with every 1/2 gallon.

6 0

3 years ago

Write root of 2 correct to (a) 6 d.p

Solnce55 [7]

Answer:

1.414214

Step-by-step explanation:

Value is 1.4142135623730950488016887242097...

Since 7th digit is a 5, the 3 gets rounded to a 4 at the end.

6 0

3 years ago

Dory's grandma runs a chicken farm. The number of eggs her hens lay is given by the equation e = 3h, where e is the number of eg

Nadusha1986 [10]

Plug in 500 for h in the equation and you get:
e=3 (500)
e=1500

5 0

3 years ago

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