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3 years ago

Factor. to 4m6 – 16p10

Mathematics

1 answer:

Nonamiya [84]3 years ago

3 0

Answer:

4 ( m⁶ - 4p¹⁰ )

Step-by-step explanation:

4m⁶ = 4 * m⁶

16p¹⁰= 4 * 4 * p¹⁰

Common factor = 4

4m⁶ - 16p¹⁰ = 4 ( m⁶ - 4p¹⁰ )

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Line DE contains the points D (–1, –4) and E (3, 3). Line FG contains the point F (–3, 3). Which set of coordinates for point G

Bond [772]

Answer:

The set of coordinates for point G that make the two lines perpendicular are given through the relation

7y = -4x + 9

Step-by-step explanation:

The condition for perpendicularly of two lines is that the products of the slope of the two lines, m₁ and m₂ must be equal to -1.

For a line whose two points (x₁, y₁) and (x₂, y₂)

on the line are known, the slope of the line, m, is given as

m = (Δy/Δx) = (y₁ - y₂) ÷ (x₁ - x₂)

points D (–1, –4) and E (3, 3).

Let the slope of DE be m₁ and the slope of FG be m₂

Since the two lines are perpendicular,

m₁m₂ = -1

m₁ = (Δy/Δx) = (-4 - 3) ÷ (-1 -3) = (7/4) = 1.75

Since, m₁m₂ = -1, this means that,

m₂ = (-1/m₁) = (-1/1.75) = -(4/7)

Let the coordinates of point G be (x, y)

m₂ = (3 - y) ÷ (-3 - x)

(-4/7) = [(3-y)/(-3-x)]

-4(-3-x) = 7(3-y)

12 + 4x = 21 - 7y

7y = -4x + 9

Hope this Helps!!!

8 0

3 years ago

Write 0.00467 in standard form

meriva

Answer:

$\frac{0.00467}{100000}$

Step-by-step explanation:

Given :

0.00467

Now,

$0.00467=\frac{0.00467}{100000}$

Standard form of given equation is :

$\frac{0.00467}{100000}$

6 0

3 years ago

The (blank) of a conditional switches the hypothesis and conclusion

Elanso [62]

The converse of a conditional statement switches the hypothesis and conclusion.

4 0

3 years ago

ed fills his sports bottle with 1.2 liters of water after his bike ride he drinks 200 millimeters of water how much water is lef

Iteru [2.4K]

1,2 liters of water = 1.200 millimeters so if he drinks 200 millimeters he has 1,000 millimeters left or 1 liter of water left

6 0

3 years ago

Orwell building supplies' last dividend was $1.75. Its dividend growth rate is expected to be constant at 38.00% for 2 years, af

WITCHER [35]

Answer:

Estimated current stock price is $46.84

Step-by-step explanation:

First we have to find the value of dividend payment $t_1, t_2 \& t_3$

Given $D_0=$1.75$

Yearly growth rate for next 2 years( $g_1$ )=38.00%

$D_1=\$1.75\times 1.38=\$2.42$

$D_2=\$2.42\times1.38=\$3.34$

Growth after two years will 6% indefinitely

$g_2=6\%=\dfrac{6}{100}=0.06$

$D_3=\$3.34\times1.06=\$3.54$

Estimate of current stock price is

$=\dfrac{D_1}{(1+r)}+\dfrac{D_2}{(1+r)^{2}}+\dfrac{\dfrac{D_3}{(r-g_2)}}{(1-r)^{3}}$

$=\dfrac{\$2.42}{(1.12)}+\dfrac{\$3.34}{(1.12)^{2}}+\dfrac{\dfrac{\$3.54}{(0.12-0.06)}}{(1.12)^{3}}$

=$46.84

Estimate of current stock price is =$46.84

3 0

3 years ago