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Andrej [43]
3 years ago
9

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:

80,00ft^{2}

Step-by-step explanation:

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

A = L*W

Where

  1. A is the Area
  2. L is the length
  3. 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 <u>Length and Width.</u>

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 80,00ft^{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 <em>is the total amount.</em>

<em> </em>

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

We know that 11.34 was how much of a tip that was left,

To figure out the total amount that was spent, you would add the total amount and the tip.

63 + 11.34 = 74.34

4 0
3 years ago
What is -20 divided by 4/5<br> A. -25<br> B.-16<br> C. -1/16<br> D. -1/25
lozanna [386]
It should be A. -25.
3 0
3 years ago
Please help me ASAP I WILL GIVE U BRAINLIEST!
cestrela7 [59]

Answer:

\sqrt{13}

Step-by-step explanation:

Given a vector < x, y > then its magnitude is

\sqrt{x^2+y^2}

Given the directed line segment

P (0, 0 ) → Q (3, 2 ) then

PQ = q - p = (3, 2 ) - (0, 0 ) = < 3 - 0, 2 - 0 > = < 3 , 2 >

| PQ | = \sqrt{3^2+2^2} = \sqrt{9+4} = \sqrt{13}

8 0
3 years ago
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