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labwork [276]
3 years ago
7

line segment AB has endpoints A (7.5,4.2) and B (2.3,5.4). Find the coordinates of the point that divides the line segment direc

ted from A to B in the ratio of 1:3
Mathematics
1 answer:
Marrrta [24]3 years ago
5 0

9514 1404 393

Answer:

  (6.2, 4.5)

Step-by-step explanation:

We want, for some point P, ...

  (P -A) / (B -P) = 1 / 3

  3(P -A) = (B - P) . . . . . multiply by 3

  4P = B +3A . . . . . . . . add P+3A

  P = (B +3A)/4 . . . . . . .divide by 4

Filling in the coordinate values, we can find P to be ...

  P = ((2.3, 5.4) +3(7.5, 4.2))/4 = (2.3+22.5, 5.4+12.6)/4

  P = (6.2, 4.5)

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How did President George W. Bush respond to the terrorist attacks of September 11, 2001?
Fynjy0 [20]

you answer is C

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6 0
2 years ago
24 students in a class took an alegebra test. If 18 passed, what precentage passed.
Sever21 [200]

Answer:

75%

Step-by-step explanation:

What percent of 24 is 18?

24x = 18

x = 18/24 = 3/4 = 0.75 = 75% passed

3 0
3 years ago
Read 2 more answers
Find the volume and surface area of a sphere with radius 1 yards. Round your answer to two decimal places.
olga55 [171]

Answer:

Volume of the sphere up to two decimal places= 4.19 cubic yards

Surface area of the sphere up to two decimal places  =12.56 square yards

Step-by-step explanation:

Given:

The radius of the sphere= 1 yard

Volume of a Sphere:

                        \frac{4}{3}* \pi *r^3                                                         :\pi =\frac{22}{7} =3.14

               =\frac{4}{3}*3.14*1*1*1

               =4.187 cubic yards

Volume of the sphere up to two decimal places= 4.19 cubic yards

Surface area of the sphere= 4*\pi* r^2

                                           =4*3.14*1*1

Surface area of the sphere up to two decimal places  =12.56 square yards

8 0
3 years ago
Use the diagram shown. If BC = 14, AB = 11, and the perimeter of triangle ABC is 39, then what is the value of BD?
RUDIKE [14]

Answer:

BD=5.5

Step-by-step explanation:

11 divided by 2 gives you the answer

7 0
3 years ago
∠A and \angle B∠B are vertical angles. If m\angle A=(7x-27)^{\circ}∠A=(7x−27) ∘ and m\angle B=(3x+29)^{\circ}∠B=(3x+29) ∘ , then
mote1985 [20]

Answer:

x = 14

Step-by-step explanation:

Vertical angles are congruent , then

7x - 27 = 3x + 29 ( subtract 3x from both sides )

4x - 27 = 29 ( add 27 to both sides )

4x = 56 ( divide both sides by 4 )

x = 14

7 0
2 years ago
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