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Darina [25.2K]
3 years ago
6

Please HELP! Remember to SHOW YOUR WORK! Thx

Mathematics
1 answer:
Katena32 [7]3 years ago
4 0
25 35 25

25...35...25
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A segment with endpoints A (3, 4) and C (5, 11) is partitioned by a point B such that AB and BC form a 2:3 ratio. Find B.
Dima020 [189]

Answer:

(3.8, 6.8)

Step-by-step explanation:

Point B:

Has coordinates (x,y)

AB and BC form a 2:3 ratio.

This means that:

B - A = \frac{2}{2+3}(C - A)

B - A = \frac{2}{5}(C - A)

We apply this both for the x-coordinate and for the y-coordinate.

x-coordinate:

x-coordinate of A: 3

x-coordinate of C: 5

x-coordinate of B: x

B - A = \frac{2}{5}(C - A)

x - 3 = \frac{2}{5}(5 - 3)

x - 3 = \frac{4}{5}

x = 0.8 + 3 = 3.8

y-coordinate:

y-coordinate of A: 4

y-coordinate of C: 11

y-coordinate of B: y

B - A = \frac{2}{5}(C - A)

y - 4 = \frac{2}{5}(11 - 4)

y - 4 = \frac{14}{5}

y = 2.8 + 4 = 6.8

Thus the correct answer is:

(3.8, 6.8)

7 0
3 years ago
Read 2 more answers
Y=x-4 y=4x+2<br> whats the solution of system equations
Fittoniya [83]

Answer:

X=-2

Y=-6

Step-by-step explanation:

Since both equations are already expressed in the simplest form of y, then we equate them to be equal hence

x-4=4x+2

Bringing like terms together

-4-2=4x-x

Solving both sides

-6=3x

Making x the subject then

X=-6/3=-2

Subsrituting the value of x into any of the initial equations

Y=x-4 then y=-2-4=-6

Therefore, the solution is

X=-2

Y=-6

6 0
3 years ago
How many one-fifths pieces of pizza are in 5 pizzas
SSSSS [86.1K]
10 1/5 times 5/1 add the zero
5 0
4 years ago
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Another scale drawing of Jimmy's living room is shown below:
deff fn [24]

Answer:

last option

Step-by-step explanation:

Again, 1 cm represents 8 / 2 = 4 feet so the width is 4 * 4 = 16 and the length is 6 * 4 = 24.

5 0
3 years ago
Ross is buying hats for his baseball team. Each package contains 4 hats. Generate the set of ordered pairs for the ratio relatio
Katena32 [7]
He has 13 and 1 graphs
6 0
3 years ago
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