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3 years ago

Find the value of the d. 2d - 5 = 17

Mathematics

1 answer:

LenKa [72]3 years ago

6 0

Answer:

d = 11

Step-by-step explanation:

Isolate the variable (d). Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 5 to both sides

2d - 5 (+5) = 17 (+5)

2d = 17 + 5

2d = 22

Next, divide 2 from both sides

(2d)/2 = (22)/2

d = 22/2

d = 11

11 is your answer for d.

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Write the standard form of the equation of a line if the point on the line nearest to the origin is at (6, 8).

Alchen [17]

Answer:

$\large\boxed{y=\dfrac{4}{3}x}$

Step-by-step explanation:

The line passes through the origin has an equation y = mx

m - slope

The formula of a slope of a line passes through the origin

and a point (x, y):

$m=\dfrac{y}{x}$

We have the point (6, 8). Substitute:

$m=\dfrac{8}{6}=\dfrac{8:2}{6:2}=\dfrac{4}{3}$

Finally:

$y=\dfrac{4}{3}x$

4 0

3 years ago

The length of a rectangular prism is 12 inches, and its width is 8 inches. The height of the prism is 16 inches. What is the sur

finlep [7]

Answer:

The answer to your question is letter B

Step-by-step explanation:

Data

length = 12 in

width = 8 in

height = 16 in

surface area = ?

Formula

Surface area = 2( length x width) + 2(length x height) + 2((width x height)

Substitution

Surface area = 2(12 x 8) + 2(12 x 16) + 2(8 x 16)

Simplification

Surface area = 256 + 384 + 102

Result

Surface area = 832 in²

7 0

3 years ago

27^x = 9^x − 4 Question 1 options: x = 8 x = 4 x = −4 x = −8

Mariulka [41]

Answer:

x = -8

Step-by-step explanation:

Given the equation:

$27^x=9^{x-4}$

Note that

$27=3^3\\ \\9=3^2,$

then

$27^x=(3^3)^x=3^{3x}\\ \\9^{x-4}=(3^2)^{x-4}=3^{2(x-4)}$

Rewrite the equation as

$3^{3x}=3^{2(x-4)},$

then

$3x=2(x-4)\\ \\3x=2x-8\\ \\3x-2x=-8\\ \\x=-8$

4 0

3 years ago

I need help!!! :))))

timurjin [86]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Phil drove for 5 hours at 65 miles per hour. How far did he drive if d=rt?

Elza [17]

He drove 260 miles. Hope this helps

6 0

3 years ago