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3 years ago

17. What is the slope of a line perpendicular to the line y=-x/4-1?

Mathematics

1 answer:

Vinvika [58]3 years ago

8 0

Answer:

Slope: −4

y-intercept: (0,−1)

x. y

-¼. 0

0. -1

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Which is the simplified form of (9c^-9)^-3 b 1/729 c^27

rosijanka [135]

ANSWER

$(9 {c}^{ - 9} )^{ - 3}=\frac{{c}^{ 27} }{729}$

EXPLANATION

The given expression is

$(9 {c}^{ - 9} )^{ - 3}$

Recall that:

$({a}^{m} )^{n} = {a}^{mn}$

We use the law of exponents to get

$(9 {c}^{ - 9} )^{ - 3} = 9^{ - 3} {c}^{ - 9 \times - 3}$

Let us multiply in the exponents to get:

$(9 {c}^{ - 9} )^{ - 3} = 9^{ - 3} {c}^{ 27}$

Recall again that:

${a}^{ - m} = \frac{1}{ {a}^{m} }$

This implies that:

$(9 {c}^{ - 9} )^{ - 3} = \frac{1}{ {9}^{ 3} } \times {c}^{ 27}$

We expand the power to get:

$(9 {c}^{ - 9} )^{ - 3} = \frac{1}{9 \times 9 \times 9} \times {c}^{ 27}$

$(9 {c}^{ - 9} )^{ - 3}=\frac{1}{729} \times {c}^{ 27}$

We multiply out to get:

$(9 {c}^{ - 9} )^{ - 3}=\frac{{c}^{ 27} }{729}$

7 0

2 years ago

Which of the following is not a pair of similar polygons?

Vlada [557]

All angled are congruent correct answer or at least the way is see wish u luck :)

7 0

2 years ago

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A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm.

Mariulka [41]

ANSWER

672cm²

EXPLANATION

The area of a regular hexagon is given by the formula,

$Area = \frac{1}{2} ap$

where a=14cm is the apothem and p=96cm is the perimeter of the regular hexagon.

We substitute the values into the formula,

$Area = \frac{1}{2} \times 14 \times 96 {cm}^{2}$

$Area =672 {cm}^{2}$

Therefore the approximate area of the hexagon is 672cm²

8 0

2 years ago

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Solve for x: 2(10-2x) = 4(3x + 1). Write your answer as a fraction.

qwelly [4]

Answer:

$\boxed{x=1}$

Step-by-step explanation:

$2(10-2x) = 4(3x + 1)$

$\sf Expand \ brackets.$

$20 - 4x = 12x + 4$

$\sf Subtract \ 12x \ and \ 20 \ from \ both \ sides.$

$20 - 4x - 12x - 20 = 12x + 4 - 12x - 20$

$-16x = -16$

$\sf Divide \ both \ sides \ by \ -16.$

$\displaystyle \frac{-16x}{-16} =\frac{-16}{-16}$

$x=1$

4 0

3 years ago

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Find the missing length indicated. Leave your answer in simplest radical form.

musickatia [10]

Answer:

1). x = 81

2). x = 84

Step-by-step explanation:

1). By applying geometric mean theorem in the given triangle,

$\frac{x}{18\sqrt{14}}= \frac{18\sqrt{14}}{56}$

56x = (18√14)²

56x = 4536

x = $\frac{4536}{56}$

x = 81

2). By applying geometric mean theorem,

$\frac{x}{8\sqrt{21}}= \frac{8\sqrt{21} }{16}$

16x = (8√21)²

16x = 1344

x = $\frac{1344}{16}$

x = 84

6 0

2 years ago