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madam [21]
3 years ago
14

What is the value of x

Mathematics
1 answer:
hjlf3 years ago
6 0

Answer:

23

Step-by-step explanation:

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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
Find the volume of a cube that has the following dimensions:length=2x^2 width=x^3 height=x^2-6x+5 A) 4x^7-3x^6+8x^5 B) 2x^12-12x
fomenos

Answer:

Option D. 2x⁷ - 12x⁶ + 10x⁵

Step-by-step explanation:

From the question given:

Length (L) = 2x²

Width (w) = x³

Height (h) = x² - 6x + 5

Volume (V) =?

Volume (V) = length (L) x width (w) x height (h)

V = L x w x h

V = 2x² × x³ × x² - 6x + 5

V = (2x²) (x³) (x² - 6x + 5)

V = (2x⁵) (x² - 6x + 5)

Clear bracket

V = 2x⁷ - 12x⁶ + 10x⁵

Therefore, the volume of the cube is 2x⁷ - 12x⁶ + 10x⁵

4 0
3 years ago
Consider the given right triangle. If and a = 25 m,<br> then b =<br> m.
Elza [17]

Answer:

Assuming that a and b are not the hypotenuse then B would be equal to A, so B would equal 25m

Step-by-step explanation:

I hope this is right, you didn't put a picture.

8 0
3 years ago
How do i answer this? Please help
pychu [463]

Answer:

which 1st page or 2nd page

4 0
3 years ago
Is 100 in greater than 3yd 1ft
wolverine [178]
1 yard = 36 inches

3 * 36 = 108

1 foot = 12 inches

108 + 12 = 120

So 3 yards and 1 foot is equal to 120 inches.

120 is greater than 100 so 3 yards and 1 foot is greater than 100 inches.
3 0
3 years ago
Read 2 more answers
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