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1 year ago

Factor the following expression 28w^(4)x^(2)y^(7)+12w^(9)x^(8)

Mathematics

1 answer:

disa [49]1 year ago

6 0

The expression after factorisation is 4w⁴x² (7y⁷ + 3w⁵x⁶)

<h3>What is an Expression ?</h3>

An expression is defined as a mathematical statement consisting of variables , constants and mathematical operators.

The expression given is

28w⁴x²y⁷+12w⁹x⁸

Factors of the given expression will be the common terms in both the terms

w⁴x² is common in the variable term

The HCF of 28 and 12 is 4

4w⁴x² (7y⁷ + 3w⁵x⁶)

The expression after factorisation is 4w⁴x² (7y⁷ + 3w⁵x⁶)

To know more about Expression

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A number x increased by 8 is greater than 26

Julli [10]

Answer:

x+8<26

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2 years ago

Point B has coordinates (1,2). The x-coordinate of point A is -8. The distance between point A and point B is 15 units. What

Xelga [282]

Answer:

The possible coordinates of point A are $A_{1} (x,y) = (-8, 14)$ and $A_{2} (x,y) = (-8, -10)$ , respectively.

Step-by-step explanation:

From Analytical Geometry, we have the Equation of the Distance of a Line Segment between two points:

$l_{AB} = \sqrt{(x_{B}-x_{A})^{2} + (y_{B}-y_{A})^{2}}$ (1)

Where:

$l_{AB}$ - Length of the line segment AB.

$x_{A}, x_{B}$ - x-coordinates of points A and B.

$y_{A}, y_{B}$ - y-coordinates of points A and B.

If we know that $l_{AB} = 15$ , $x_{A} = -8$ , $x_{B} = 1$ and $y_{B} = 2$ , then the possible coordinates of point A is:

$\sqrt{(1+8)^{2}+(2-y_{A})^{2}} = 15$

$81 + (2-y_{A})^{2} = 225$

$(2-y_{A})^{2} = 144$

$2-y_{A} = \pm 12$

There are two possible solutions:

1) $2-y_{A} = -12$

$y_{A} = 14$

2) $2 - y_{A} = 12$

$y_{A} = -10$

The possible coordinates of point A are $A_{1} (x,y) = (-8, 14)$ and $A_{2} (x,y) = (-8, -10)$ , respectively.

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2 years ago

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masya89 [10]

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2 years ago

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Suzanne gets 7% commission on all of her sales. If she makes a sale of $350,000, how much commission will she make?

sasho [114]

Answer:

$24,500 of commission

Step-by-step explanation:

350000*0.07 = 24,500

4 0

1 year ago

The lifespan of a guinea pig is 6 years less than that of a giraffe. The lifespan of a tiger is 4 times that of the guinea pig.

faust18 [17]

Guinea pig (p) = 4 years old
Giraffe (g) = 10 years old
Tiger (t) = 16 years old

P = g-6
T = 4p

30 = g+g-6+(4(g-6))
30 = 2g-6+4g-24
30 = 6g-30
+30 +30
60 = 6g
6 6
10 = g

P = 10-6
P = 4

T = 4(4)
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2 years ago