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3 years ago

Find the point B on AC such that the ratio of AB to BC is 2:3

Mathematics

1 answer:

Virty [35]3 years ago

3 0

Answer:

B(4, - 3 )

Step-by-step explanation:

We have A(2, - 7) and C(7, 3 )

Using the section formula to calculate the coordinates of B

$x_{B}$ = $\frac{3(2)+2(7)}{2+3}$ = $\frac{6+14}{5}$ = $\frac{20}{5}$ = 4

$y_{B}$ = $\frac{3(-7)+2(3)}{2+3}$ = $\frac{-21+6}{5}$ = $\frac{-15}{5}$ = - 3

Hence B(4, - 3 )

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X = 18 is a solution to this equation X + 79 = 98 Question 4 options: True False

deff fn [24]

X+79=98 (subtract 79 to isolate x)
X=19 so it is false

7 0

3 years ago

Read 2 more answers

A real estate company wants to build a parking lot along the side of one of its buildings using 800 feet of fence. If the side a

Elden [556K]

Answer:

80,00 $ft^{2}$

Step-by-step explanation:

According to my research, the formula for the Area of a rectangle is the following,

$A = L*W$

Where

A is the Area
L is the length
W is the width

Since the building wall is acting as one side length of the rectangle. We are left with 1 length and 2 width sides. To maximize the Area of the parking lot we will need to equally divide the 800 ft of fencing between the Length and Width.

800 / 2 = 400ft

So We have 400 ft for the length and 400 ft for the width. Since the width has 2 sides we need to divide 60 by 2.

400/2 = 200 ft

Now we can calculate the maximum Area using the values above.

$A = 400ft*200ft$

$A = 80,000ft^{2}$

So the Maximum area we are able to create with 800 ft of fencing is 80,00 $ft^{2}$

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

Read more on Brainly.com - brainly.com/question/12953427#readmore

3 0

3 years ago

You are at a restaurant and the check comes to a total of $63. If you want to leave an 18% tip, how much total money should you

astraxan [27]

Answer:

$$74.3$ is the total amount.

Step-by-step explanation:

The first step in this problem is to figure out how much of a tip was left. To find that out, you need to multiply the percentage by the total of the meal.

$63 * .18 = 11.34$