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3 years ago

−3(y−8)=33 What is the value of y?

Mathematics

1 answer:

Julli [10]3 years ago

3 0

Answer:

Step-by-step explanation:

-3(y-8)= 33

+3 +3

y - 8 = 36

+ 8 + 8

y = 44

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What is the perimeter of polygon ABCD?

marta [7]

Answer:

The perimeter is the sum of the length of the sides of a certain shape. In this case, the perimeter of the polygon would be the sum of the lengths of sides AB, BC, CD, and DA.

Step-by-step explanation:

Lets start computing the length of each side of the polygon. Using points A and B as a first example, we find that the distance between them will be:

$d_{AB}=\sqrt{(x_A - x_B) ^2+(y_A - y_B) ^2 }$

Where $(x_A , y_A )$ and $(x_B , y_B )$ are the coordinates of points A and B respectively.

From the graph we can see that point A has coordinates (5, 12), B has coordinates (9, 9), C has coordinates (12, 5), and D has coordinates (0, 0). Puting values and computing the lengths we find that:

Lenght AB:

$d_{AB}=\sqrt{(x_A - x_B) ^2+(y_A - y_B) ^2}=\sqrt{(5 - 9) ^2+(12 - 9) ^2}$

$d_{AB}=\sqrt{(-4) ^2+(3) ^2 } =\sqrt{16 + 9 }=\sqrt{25}$

$d_{AB}=5$

Lenght BC:

$d_{BC}= \sqrt{(x_B - x_C) ^2 + (y_B - y_C) ^2 } = \sqrt{(9 - 12) ^2 + (9 - 5) ^2 }$

$d_{BC}=\sqrt{(-3) ^2 + (4) ^2 }=\sqrt{9 + 16 } =\sqrt{25}$

$d_{BC}=5$

Lenght CD:

$d_{CD}= \sqrt{(x_C - x_D) ^2 + (y_C - y_D) ^2 } = \sqrt{(12 - 0) ^2 + (5 - 0) ^2 }$

$d_{CD}=\sqrt{(12) ^2 + (5) ^2 } = \sqrt{144 + 25 } = \sqrt{169}$

$d_{CD}=13$

Lenght DA:

$d_{DA}= \sqrt{(x_D - x_A) ^2 + (y_D - y_A) ^2 } = \sqrt{(0 - 5) ^2 + (0 - 12) ^2 }$

$d_{DA}=\sqrt{(-4) ^2 + (-12) ^2 } = \sqrt{25 + 144 } = \sqrt{169}$

$d_{DA}=13$

Therefor the result will be:

$Perimeter = d_{AB} + d_{BC} +d_{CD} +d_{DA}= 5 + 5 + 13 + 13 = 36$

8 0

3 years ago

Read 2 more answers

Write two equivalent ratios as fractions, where one of the fractions is in simplest form. In complete sentences, describe the fo

mixer [17]

Answer:

1/3 and 6/18 their relationship is 6

Step-by-step explanation:

I think this might be the answer but I was confused as to what it meant as well. Sry if it’s wrong :(

3 0

2 years ago

What is the length

Shalnov [3]

See, please, this explanation:
1) ΔRST~ΔPQT, it means RS/PQ=TS/TQ=TR/TP
2) according to issue 1) 6/4=RS/10, RS=3*5=15 cm.
Answer: 15cm. (A)

7 0

3 years ago

A hot air ballon was 240 ft above the ground. It decreased its altitude by 6 1/2 ft per min for 15 min, and the increased its al

vladimir2022 [97]

First Part: Overall change in altitude: -88.5ft

Part C: 151.5ft

Part D: E= 240-(6.5×15)+9
.
.
.

Part ? because:
6.5×15= 97.5 We know that decreases. So it would be, -97.5, next it says it increases by 9ft. So -97.5+9=-88.5ft

Part C becuase: The original elevation is 240, and the elevation is subtracted by 88.5, so...
240-88.5=151.5ft

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3 years ago

Read 2 more answers

Deion is going to an amusement park. The price of admission into the park is $35,

ohaa [14]

Answer:

Number 1. He will need $28.

Step-by-step explanation

7 times 4 is 28.

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3 years ago