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geniusboy [140]

2 years ago

11

Allen went out to dinner and hls total bill

1 answer:

Reika [66]2 years ago

6 0

$20.50 because 22.14-1.64=20.50

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A line that passes through the points (–4, 10) and (–1, 5) can be represented by the equation y = y equals negative StartFractio

Natali5045456 [20]

Answer:

y=-\frac{5}{3} x+\frac{10}{3} or what is the same: $5x+3y=10$

Step-by-step explanation:

First we find the slope of the line that goes through the points (-4,10) and (-1,5) using the slope formula: $slope=\frac{10-5}{-4-(-1)} =\frac{5}{-3} =-\frac{5}{3}$

Now we use this slope in the general form of the slope- y_intercept of a line:

$y=-\frac{5}{3} x+b$

We can determine the parameter "b" by requesting the condition that the line has to go through the given points, and we can use one of them to solve for "b" (for example requesting that the point (-1,5) is on the line:

$y=-\frac{5}{3} x+b\\5=-\frac{5}{3} (-1)+b\\5=\frac{5}{3}+b\\5-\frac{5}{3}=b\\b=\frac{10}{3}$

Therefore, the equation of the line in slope y_intercept form is:

$y=-\frac{5}{3} x+\frac{10}{3}$

Notice that this equation can also be written in an equivalent form by multiplying both sides of the equal sign by "3", which allows us to write it without denominators:

$y=-\frac{5}{3} x+\frac{10}{3}\\3*y=(-\frac{5}{3} x+\frac{10}{3})*3\\3y=-5x+10\\5x+3y=10$

3 0

3 years ago

Read 2 more answers

What are the vertical asymptotes of the function f(x) = the quantity of 2 x plus 8, all over x squared plus 5 x plus 6? x = −3 a

lbvjy [14]

For this question the answer would be x=-3 and x=-2

3 0

3 years ago

You spent 1/5 of your birthday money on 2 video games. If each video game cost the same amount, what fraction of your birthday m

Elza [17]

Answer:

1/10

Step-by-step explanation:

Let total money be m

Then, the money spent on 2 video games is 1/5m

<u>Each game costs:</u>

1/5m ÷ 2 =
1/10m

So each video game costs 1/10 of birthday money

4 0

2 years ago

Read 2 more answers

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

<u>(a) Length of AB</u>

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

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

<u>(b) Are AB and CD congruent</u>

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

<u>(c) AB bisects CD or not?</u>

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

<u>(d) CD bisects AB or not?</u>

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

2 years ago

Which equation represents the cross products?

AleksAgata [21]

the answer will be A. its the right answer

4 0

3 years ago