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4 years ago

Gcf of 46g^2h and 34g^6 h^6

1 answer:

8 0

For this case we have that by definition, the Greatest Common Factor or GCF, is the largest factor that divides two numbers and the remainder is zero.

We find the factors of 46 and 34:

$46: 1, 2, 23,46\\34: 1,2,17,34$

Thus, the GCF of both numbers is 2.

So, the GCF of both expressions is:

$2g ^ 2h$

Answer:

$2g ^ 2h$

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N the diagram, and are horizontal lines and is a vertical line segment. If FB : FC = 4 : 3, what are the coordinates of point D?

riadik2000 [5.3K]

<span>Given the diagram, where AB and EF are horizontal lines and CB is a vertical line segment. Given that FB : FC = 4 : 3, From the diagram, the coordinate of A is (-10, -8) and the coordinate of C is (-3. -1). We can also see that the coordinate of B is (-3, -8) (since CB is a vertical line means that B is the same x-value as C and AB is a horizontal line means that B is the same y-value as A) Recall that the coordinate of a point dividing a line segment in the ratio m:n is given by (x1 + m/(m+n) (x2 - x1), y1 + m/(m+n) (y2 - y1)) Thus, since FB : FC = 4 : 3, this means that point F divides the line segment BC in the ratio 4 : 3. Thus, the coordinate of F is given by (-3 + 4/(4+3) (-3 - (-3)), -8 + 4/(4+3) (-1 - (-8))) = (-3 + 4/7 (0), -8 + 4/7 (7)) = (-3, -4). Also, given that FB : FC = 4 : 3, this means that point D divides the line segment AC in the ratio 4 : 3. Thus, the coordinate of D is given by (-10 + 4/(4+3) (-3 - (-10)), -8 + 4/(4+3) (-1 - (-8))) = (-10 + 4/7 (7), -8 + 4/7 (7)) = (-6, -4). Therefore, the coordinates of point D is (-6, -4).</span>

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3 years ago

A circular rug covers 48 square feet. What is the radius? Use 3 for pie.

Alex17521 [72]

Answer:

I believe it would be 24 sq ft. Radius is a line draw from the center of the circle out, also known as 1/2 of the circle. So by dividing 48 by 2 you should get 24.

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2 years ago

What’s the perpendicular slope of 4/3

never [62]

Answer:

-3/4

Step-by-step explanation:

Perpendicular slopes are reciprocal opposites of the original slope. This means that the reciprocal of 4/3 is 3/4, and the opposite of 3/4 is -3/4.

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4 years ago

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Graph this equation of a circle?<br>I'm stuck and I don't know how to approach this math problem.

Soloha48 [4]

First use the distance formula to find the radius of the circle:
d= $\sqrt{ ( x_{2}- x_{1}) ^{2}+ ( y_{2}- y_{1}) ^{2} }$

d= $\sqrt{ (-1-23)^{2}+ (5--2)^{2} }$

d= $\sqrt{ (-24)^{2}+ (7)^{2} }$

d= $\sqrt{ (-24+7)^{2} }$

d= $\sqrt{ (-17)^{2} }$

d=|17|
d=17

Next, find the equation of the circle (use the first picture):
(x+1)^2+(y-5)^2=17^2

Finally, input the equation into a graphing calculator:
(2nd picture)

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3 years ago

Photon Lighting Company determines that the supply and demand functions for its most popular lamp are as follows: S(p) = 400 - 4

Alinara [238K]

S(p)=D(p)
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Solve for p
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3 years ago

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