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2 years ago

Solve for x: 3|x − 3| + 2 = 14

Mathematics

1 answer:

vaieri [72.5K]2 years ago

4 0

Answer:

x = 7 x = -1

Step-by-step explanation:

3|x − 3| + 2 = 14

Subtract 2 from each side

3|x − 3| + 2 -2= 14-2

3|x − 3| = 12

Divide by 3

3|x − 3| /3 = 12/3

|x − 3| = 4

Now the absolute value has a positive and negative solution.

x-3 = 4 x-3 = -4

Add 3 to each side

x-3+3 = 4+3 x-3+3 = -4+3

x = 7 x = -1

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Please help me find the area of shaded region and step by step

Bumek [7]

Answer:

Part 1) $A=60\ ft^2$

Part 2) $A=80\ cm^2$

Part 3) $A=96\ m^2$

Part 4) $A=144\ cm^2$

Part 5) $A=9\ m^2$

Part 6) $A=(49\pi -33)\ in^2$

Step-by-step explanation:

Part 1) we know that

The shaded region is equal to the area of the complete rectangle minus the area of the interior rectangle

The area of rectangle is equal to

$A=bh$

where

b is the base of rectangle

h is the height of rectangle

$A=(12)(7)-(8)(3)$

$A=84-24$

$A=60\ ft^2$

Part 2) we know that

The shaded region is equal to the area of the complete rectangle minus the area of the interior square

The area of square is equal to

$A=b^2$

where

b is the length side of the square

$A=(12)(8)-(4^2)$

$A=96-16$

$A=80\ cm^2$

Part 3) we know that

The area of the shaded region is equal to the area of four rectangles plus the area of one square

$A=4(4)(5)+(4^2)$

$A=80+16$

$A=96\ m^2$

Part 4) we know that

The shaded region is equal to the area of the complete square minus the area of the interior square

$A=(15^2)-(9^2)$

$A=225-81$

$A=144\ cm^2$

Part 5) we know that

The area of the shaded region is equal to the area of triangle minus the area of rectangle

The area of triangle is equal to

$A=\frac{1}{2}(b)(h)$

where

b is the base of triangle

h is the height of triangle

$A=\frac{1}{2}(6)(7)-(6)(2)$

$A=21-12$

$A=9\ m^2$

Part 6) we know that

The area of the shaded region is equal to the area of the circle minus the area of rectangle

The area of the circle is equal to

$A=\pi r^{2}$

where

r is the radius of the circle

$A=\pi (7^2)-(3)(11)$

$A=(49\pi -33)\ in^2$

7 0

2 years ago

BRAINLIESTTT! PLEASE ANSWER ASAP!

loris [4]

1.)There is one outlier, indicating very few books were checked out on that day

This is because there is one day where only 2 books were checked out while on all of the other days 35-45 books were checked out.

2.) 0; it represents no correlation between x and y

This is because no matter the age they could answer 17 questions

Hope this helps!

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2 years ago

Tim poured 0.5 liters of water into a beaker and then added 300 milliliters more. What was the total amount of water in the beak

SVETLANKA909090 [29]

So, Using your conversion chart(if you have one) you'd see 1 liter makes 1000 milliliters. So, if you have half of a liter(0.5), then you have 500 milliliters. If he adds 300 more, then you get 800 milliliters total, which is also equal to 0.8 liters. Hope this helps!

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2 years ago

DESPERATE WILL GIVE BRAINLIST AND THANKS

Vitek1552 [10]

Answer:

21/22 = repeating

60/120 = terminating

56/72 = repeating

11/121 = repeating

Step-by-step explanation:

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2 years ago

Read 2 more answers

A lookout tower is 16 meters tall. Its shadow is 12 meters long. Close by, there is a wooden column that is 4 meters tall. How l

Lelechka [254]

Answer:

3 metres

Step-by-step explanation:

If we draw this out, we'll see that there are actually two similar right triangles (see attachment), which means that we can set up a proportion.

The height of the lookout tower corresponds to the height of the wooden column, while the shadow of the lookout tower corresponds to the shadow of the wooden column. We can then write:

(height of lookout tower) / (shadow of tower) = (height of column) / (shadow of column)

16 / 12 = 4 / x , where x is the shadow / unknown we want to find

Cross-multiply:

16x = 48

x = 3

The answer is thus 3 metres.

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2 years ago