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2 years ago

Phrase cost per minute

1 answer:

4 0

"cost per minute" refers to a unit rate of something that costs per minute to do. for example, a net cafe making you pay $0.30 per minute when you use a computer

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Find the value of x such that the area of a triangle whose vertices have coordinates (6, 5), (8, 2) and (x, 11) is 15 square uni

Serjik [45]

Answer:

$x =12\ or\ -8$

Step-by-step explanation:

Given

$(x_1,y_1) = (6,5)$

$(x_2,y_2) = (8,2)$

$(x_3,y_3) = (x,11)$

$Area = 15$

Required

Find x

The area is calculated as thus:

$Area = \frac{1}{2}|x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)|$

Substitute values

$15 = \frac{1}{2}|6*(2 - 11) + 8*(11 - 5) + x(5 - 2)|$

$15 = \frac{1}{2}|6*(-9) + 8*(6) + x(3)|$

$15 = \frac{1}{2}|-54 + 48 + 3x|$

$15 = \frac{1}{2}|-6 + 3x|$

Multiply through by 2

$2 * 15 = \frac{1}{2}|-6 + 3x| * 2$

$30 = |-6 + 3x|$

Remove absolute sign

$30 = -6 + 3x\ or\ -30 = -6 + 3x$

Add 6 to both sides

$36 = 3x\ or\ -24 = 3x$

Divide by 3

$12 = x\ or\ -8 = x$

$x =12\ or\ -8$

So, the coordinates are (-8, 11) or (12,11)

3 0

2 years ago

CORRECT ANSWER GETS BRAINLEYY

Ratling [72]

Answer:

Step-by-step explanation:

$w = x + \frac{y}{z}\\\\w-x = \frac{y}{z}\\\\(w - x)*z = y\\\\z = \frac{y}{w-x}$

5 0

3 years ago

There are 5 million people in 410 square miles. That is the same as _______ people per square mile.

Mice21 [21]

Answer:

12,195.122

Step-by-step explanation:

there are 5 million people

there are also 410 square miles

the solution for this is 5,000,000÷ 410 which is 12,195.122 people p/sqrm

8 0

2 years ago

Read 2 more answers

Micaela tried to rotate the square 180 about the origin. Is her rotation correct? If not, explain why

Vinvika [58]

Answer:no the vertices of the image and pre image don’t correspond

Step-by-step explanation:

Just did it

7 0

3 years ago

–10 = –6 + 2c –8 1 –2 2

guapka [62]

–10 = –6 + 2c

+ 6 + 6 Add 6 to cancel out -6

-4 = 2c

/2 /2 Divide by 2 to get c variable alone

-2 = c Choice C is the correct answer

6 0

3 years ago