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4 years ago

Please help

Mathematics

1 answer:

olya-2409 [2.1K]4 years ago

8 0

Answer:

42 sq. un.

Step-by-step explanation:

1. The rectangle GPST has sides lengths of 5 un. and 7 un.. Thus, the area of the rectangle GPST is

2. The area of the triangle PES can be calculated as where h is the height drawn to the side PS. Since PS=7 un.

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Which of the following pairs of points will create a horizontal line when connected?

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Answer:

D is the answer

Step-by-step explanation:

D is the answer because they don't go opposite ways on a graph (Ex: going higher and lower)

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3 years ago

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Cora’s kitten weighs 1,200 grams. If he weighed 550 grams at the last visit to the veterinarian’s office,

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Percent increase=[(weight change)/(original weight)]*100%
Percent increase=[(1200-550)/550]*100%
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the value of k so that the line Containing the points (-8,k) and (-4,-8) is perpendicular) to the line containing the points (10

In-s [12.5K]

Answer:

$k= \frac{-34}{3}$

Step-by-step explanation:

Step 1 :-

Perpendicular condition :-

Step 1:-

Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} }$

$m_{1} m_{2} = -1$

Step 2:-

The given points are (-8,k) and (-4,-8)

$m_{1} = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

finding slope of the first line is $m_{1}$

using formula $m_{1} = \frac{-8-k}{-4+8}$

= $\frac{-8-k}{4}$

finding slope of the second line is $m_{2}$

using formula $m_{2} = \frac{--5+11}{5-10}$

= $\frac{6}{-5}$

Step 3:-

using perpendicular condition

The two lines are perpendicular and their slopes are

$m_{1} m_{2} = -1$

$(\frac{-k-8}{4} )(\frac{-6}{5} )= -1$

simplification,we get solution is

$\frac{6(k+8)}{20} =-1$

$6 k+48 =-20$

$6 k = -20 -48$

$6 k = -68$

$\frac{-68}{6}$

$k= \frac{-34}{3}$

Final answer is

$k= \frac{-34}{3}$

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3 years ago

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timofeeve [1]

D.) 77 coins That's what I got

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3 years ago

How do you do this question?

Korvikt [17]

-6(6)(-3){2(-3)+(2(6)-3(3)}
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108(-3)
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3 years ago