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2 years ago

What is the greatest common factor of 72x2y and 18xy? A. 9x B. 9xy C. 18x D. 18xy

Mathematics

1 answer:

Alchen [17]2 years ago

7 0

Answer:

18xy

Step-by-step explanation:

Given:

72x²y and 18xy

Greatest common factor = ?

GCF is the highest number (or expression) that divides exactly into two or more numbers (or expressions)

Let's find the factors first:

72x²y = 4x*18xy
18xy

We can see the second expression 18xy is the factor of the first expression

Therefore, the 18xy is dividing foth of the expressions, so it is the GCF

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Please help!! due soon!

Mamont248 [21]

Answer: D. (-4, -2)

Step-by-step explanation:

Rotating 180° about the origin means the signs for the x- and y-values are opposite.

(x, y) → (-x, -y)

(4, 2) → (-4, -2)

6 0

3 years ago

What is the domain and range of the graph shown?

marissa [1.9K]

Answer:

[0. infinity)

[0, infinity)

7 0

2 years ago

In the isosceles triangle ABC, we have AB=AC=4. The altitude from B meets AC at H. If AH=3(HC) then determine BC.

Inga [223]

Answer:

BC=√7

Step-by-step explanation:

AC=4

AC=AH+HC

=3HC+HC

=4HC

HC=1/4AC=1/4×4=1

AH=3HC=3×1=3

BH⊥ AC

AB=AC=4

$BC=\sqrt{AB^2-AH^2} =\sqrt{4^2-3^2} =\sqrt{16-9} =\sqrt{7}$

5 0

2 years ago

A cylindrial hole is cut through the cylinder below.

Vika [28.1K]

Answer:

V=1884 Cubic mm

Step-by-step explanation:

We know that the volume of the Sphere is given by the formula

$V= \pi r^2h$

Where r is the radius and h is the height of the cylinder

We are asked to determine the radius of the hollow cylinder , which will be the difference of the solid cylinder and the cylinder being carved out.

$V=V_1-V_2$

$V=\pi r_1^2 \times h-\pi r_2^2 \times h$

$V=\pi \times h \times (r_1^2-r_2^2)$

Where

$V_1$ is the the volume of solid cylinder with radius $r_1$ and height h

$V_2$ is the volume of the cylinder being carved out with radius $r_2$ and height h

where

$r_1 = 7$ mm ( Half of the bigger diameter )

$r_2 = 5$ mm ( Half of the inner diameter )

$h=25$ mm

Putting these values in the formula for V we get

$V=\pi \times 25\times (7^2-5^2)$

$V=3.14 \times 25 \times(49-25)$

$V=3.14 \times 25 \times 24$

$V= 1884$

3 0

2 years ago

8. Rename the quadratic function f(x) = -2(x + 4)2 - 5 in standard form. A. f(x) = -2x2 + 16x - 37 G. f(x) = -2x2 – 16x + 27 B.

NNADVOKAT [17]

Answer:

see explanation

Step-by-step explanation:

f(x)= -2(x²+8x+16)-5

$-2 {x}^{2} - 16x - 32 - 5 \\ f(x)= - 2 {x}^{2} - 16x - 37$

7 0

2 years ago