American Eagle is having a sale in which all Jeans are priced $20 each. The sales tax is 5%.

The midpoint of AB is M(-5,1). If the coordinates of A are (-4,-5), what are the coordinates of B?

Elenna [48]

ANSWER:

The midpoint of AB is M(-5,1). The coordinates of B are (-6, 7)

SOLUTION:

Given, the midpoint of AB is M(-5,1).

The coordinates of A are (-4,-5),

We need to find the coordinates of B.

We know that, mid-point formula for two points A $(x_{1}, y_{1})$ and B $(x_{1}, y_{2})$ is given by

$M\left(x_{3}, y_{3}\right)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

Here, in our problem, $\mathrm{x}_{3}=-5, \mathrm{y}_{3}=1, \mathrm{x}_{1}=-4 \text { and } \mathrm{y}_{1}=-5$

Now, on substituting values in midpoint formula, we get

$(-5,1)=\left(\frac{-4+x_{2}}{2}, \frac{-5+y_{2}}{2}\right)$

On comparing, with the formula,

$\frac{-4+x_{2}}{2}=-5 \text { and } \frac{-5+y_{2}}{2}=1$

$-4+\mathrm{x}_{2}=-10 \text { and }-5+\mathrm{y}_{2}=2$

$\mathrm{x}_{2}=-6 \text { and } \mathrm{y}_{2}=7$

Hence, the coordinates of b are (-6, 7).

5 0

4 years ago

Brandon wants to buy a new bike. The model he likes is on sale for 15% off its original price. His parents agree to pay for $50

Leno4ka [110]

Answer:

0.85x - $50

Step-by-step explanation:

Given that :

Brandon wants to buy a new bike. The model he likes is on sale for 15% off its original price. His parents agree to pay for $50 of the cost. If the original cost of the bike is x dollars, which of the expressions below represent the amount Brandon has to pay

Discount on price = 15%

Amount parents agreed to pay = $50

Cost of bike = x

Discount on bike = 0.15x

Cost after discount is removed = (x - 0.15x) = 0.85x

Parent pays $50 of cost price, amount Brandon will have to pay equals :

(0.85x - $50)

3 0

3 years ago

Find an equation of the line with the given slope that passes through the given point. Write the equation in Ax+By=C M=7/5 and t

pychu [463]

Y=7/5× -71/5
plug in the points into the y=mx+b equation and solve from there and of course there are Fractions so you have to make the same denominators but is just an extra step

6 0

3 years ago

Help pls ! I’ll mark brainliest!

kogti [31]

Answer:

The first and third answers are correct

Step-by-step explanation:

First answer=11/4=2.75

Second answer=4/9=0.444...

Third answer=4/3=1.333...

Fourth answer=5/9=0.5555555556

2/3=0.66666666667