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3 years ago

Which of these is a point-slope equation of the line that is perpendicular to y-25 = 2(x - 10) and passes through (-3, 7)?

Mathematics

1 answer:

nydimaria [60]3 years ago

5 0

Answer:

B. y-7 = 1/2(x+3)

Step-by-step explanation:

The coordinates in the question must be inverted (so -3 would become +3 and +7 would become -7)

We know that the line would be perpendicular when (x+3) is preceded by -2

You can double check this by going to a website that graphs equations and overlapping the lines.

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Find the distance between (3,4) and (4,-6) if necessary, round to the nearest tenth.

Ratling [72]

Answer:

The distance is:

d = 10.0 units (Rounded to the nearest the Tenths Place)

Step-by-step explanation:

Given the points

(3,4)

(4,-6)

The distance 'd' between (3,4) and (4,-6)

$\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):$

$d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

substituting the points values

$=\sqrt{\left(4-3\right)^2+\left(-6-4\right)^2}$

$=\sqrt{1+10^2}$

$=\sqrt{1+100}$

$=\sqrt{101}$

$=10.0$ units (Rounded to the nearest the Tenths Place)

Thus, the distance is:

d = 10.0 units (Rounded to the nearest the Tenths Place)

4 0

3 years ago

When 0.3(4x - 8) - 0.5(2.4x + 4) is simplified what is the resulting expression?

LUCKY_DIMON [66]

0.3(4x-8)-0.5(2.4x+4)
1.2x-2.4-1.2x+2
x-0.4

4 0

3 years ago

A scale drawing of a pool has scale of 1 in :4 ft. If the actual pool is 16 ft wide, how is the pool represented in the drawing

Deffense [45]

Answer: 4 inches

Step-by-step explanation:

Let the width of the pool in the drawing be represented by x.

Since scale drawing of a pool has scale of 1 in :4 ft and the actual pool is 16 ft wide, this can be represented in an equation as:

1/4 = x/16

Cross multiply

4 × x = 1 × 16

4x = 16

x = 16/4

x = 4

Therefore, the pool representation in the drawing is 4 inches

8 0

2 years ago

A store has 2 times as hooded sweatshirt as crewneck sweatshirts. The total number of sweatshirts is 36. How many hooded sweatsh

svlad2 [7]

Answer:

Answer below

Step-by-step explanation:

It would be 36×2=72

since we're doubl8ng it so there would be 72 hooded sweatshirts

6 0

3 years ago

Read 2 more answers

W(x) = −3x− 4; Find w(7)

Arturiano [62]

Step-by-step explanation:

Given

w(x) = - 3x - 4

Now

w(7) = - 3 * 7 - 4

= - 21 - 4

= - 25

Hope it will help :)❤

4 0

2 years ago