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sesenic [268]
3 years ago
8

Last Question (You can ignore this sentence)

Mathematics
1 answer:
Harrizon [31]3 years ago
5 0
3y-20+x+13=3x+9
3y-20+x+13+2y=180

3y-7+x=3x+9
3y=2x+16
y=2/3x+16/3

5y+x=187
5(2/3x+16/3)+x=187
10/3x+80/3+x=187
13/3x=481/3

x=37
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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
F(x)= 3x - 4x2 +6x and g(x)= 5x +2x2 – 3x. What is f(x) g(x)?
goldenfox [79]

f(x)g(x) = 9x² + 10x - 16

<u>Step-by-step explanation:</u>

Step 1:

Given f(x) = 3x - 4 × 2 + 6x and g(x) = 5x + 2 × 2 - 3x

f(x) = 9x - 8

g(x) = 2x + 4

f(x)g(x) = (9x - 8)(2x + 4)

= 18x² + 36x - 16x -32

= 18x² + 20x - 32

= 9x² + 10x - 16

7 0
3 years ago
Belize is a small country in Central America. The
shepuryov [24]

Answer:

60 inches

Step-by-step explanation:

<em>30% of 200 inches = 200 inches * 30%</em>

<em>30% = 0.3</em>

Substitute: 200 inches * 0.3

Multiply: 60 inches

5 0
4 years ago
What are the x and y-intercepts of the line described by the equation?
tatuchka [14]

Answer: x=4.41 y= -7.35

Step-by-step explanation:

Pretty basic just graph them using Desmos...

Showing your work you would need to get x on one side then y on the other.

Because 3y is positive I personally like to use that one first. The inverse operation of 3y is divide so you divide 3y by 3 and the 3s cancel out. Divide -22.05 by 3 and you get -7.35. Which is your y value.

Finding X is a bit more difficult, you need to divide by -5 which is the obvious inverse operation. So, -22.05/-5 and you get 4.41. Which is your X value.

Any further questions feel free to contact me.

-Vy

5 0
3 years ago
What is the volume of a cube shaped box with 6cm. In length?
zalisa [80]
Volume= lxwxh
v= 6cm x 6cm x 6cm (all are 6 because it is a cube, so all sides are equal)
v= 216 cm³
8 0
3 years ago
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