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Setler79 [48]
3 years ago
13

1.Find the absolute value of the following integers: a. 9 b. −14 c. 0 d. −135 e. +1,408 2.Find the absolute value of the followi

ng numbers: a. 18 b. −5.72 c. 0.4 d. −712 e. +102.5
3.A man dropped his keys into the sea, and watched them fall to a depth of −8 meters before landing on a rock. How far are the keys from the surface of the sea? 4.Sue borrowed money from her friends to buy a cinema ticket and snacks. She now has a balance of −$21. How much money must she earn in order to break even, or achieve a balance of $0?
5.Ben removes a stick of frozen butter from the freezer, and finds that it has a temperature of −15°C. When the temperature of the butter reaches 0°C, Ben will use it in a recipe. How many degrees does the temperature need to rise?
Mathematics
2 answers:
rjkz [21]3 years ago
8 0
Absolute value means basically just to get rid of any negatives and turn them into a positive number. A=9 B=14 C=0
KonstantinChe [14]3 years ago
3 0

1.

(a) 9

(b) 14

(c) 0

(d) 135

(e) 1408

2.

(a) 18

(b) 5.72

(c) 0.4

(d) 712

(e) 102.5

3. 8 meters

4. $21 or more

5. 15 degrees

Please mark me brainliest!

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On your paper, construct a rectangle on a coordinate plane that satisfies these criteria.
german

Answer:

A = (5,3)

B = (-5,3)

C = (-5,-8)

D = (5,-8)

Step-by-step explanation:

Required

Perimeter = 42

Construct a rectangle whose perimeter is 42 units and satisfies the given conditions.

First, name the rectangle ABCD.

Such that:

A = (x_1,y_1)

B = (x_2,y_2)

C = (x_3,y_3)

D = (x_4,y_4)

For the rectangle to be either horizontal or vertical, then:

y_1 = y_2 and y_3 = y_4

We have that:

Perimeter = 42

Replace perimeter with its formula

2(AB + BC) = 42

Divide both sides by 2

AB + BC = 21

This implies that, the distance between adjacent sides (through the edges) must be equal to 21

Having said that: a set of coordinates that satisfy the given conditions are:

A = (5,3) -- First quadrant

B = (-5,3) -- Second quadrant

C = (-5,-8) -- Third quadrant

D = (5,-8) -- Fourth quadrant

The above quadrants satisfy the condition:

y_1 = y_2 and y_3 = y_4

<u>HOW TO KNOW THE PERIMETER IS 42</u>

To do this, we simply calculate the distance between the edges and add them up

<u>Distance is calculated as:</u>

<u></u>D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2<u></u>

<u></u>

<u>For AB</u>

A = (5,3)

B = (-5,3)

D_1 = \sqrt{(5 - (-5))^2 + (3 - 3)^2}= \sqrt{(10)^2 + (0)^2} = \sqrt{100} = 10

<u>For BC</u>

B = (-5,3)

C = (-5,-8)

D_2 = \sqrt{(-5 - (-5))^2 + (3 - (-8))^2}= \sqrt{(0)^2 + (11)^2} = \sqrt{121} = 11

<u>For CD</u>

C = (-5,-8)

D = (5,-8)

D_3 = \sqrt{(-5 -5)^2 + (-8 - (-8))^2}= \sqrt{(-10)^2 + (0)^2} = \sqrt{100} = 10

<u>For DA</u>

D = (5,-8)

A = (5,3)

D_4 = \sqrt{(5 -5)^2 + (-8 -3)^2}= \sqrt{(0)^2 + (11)^2} = \sqrt{121} = 11

So, the perimeter is:

P = D_1 + D_2 + D_3 + D_4

P = 10 + 11 + 10 +11

P = 42

See attachment for rectangle

8 0
3 years ago
Write the expression (6-8i)+(2+3i) as a complex number in standard form
ZanzabumX [31]

(6-8i)+(2+3i)=6-8i+2+3i=(6+2)+(-8i+3i)\\\\=\boxed{8-5i}

6 0
4 years ago
Can someone help please
Sophie [7]

Answer:

33

Step-by-step explanation:

7 0
3 years ago
Q. You’re in charge of filling out the office supply purchase orders for your company. If you need 20,000 sheets of paper, and o
baherus [9]

Answer: answer is C

Step-by-step explanation:

5 0
3 years ago
Consider the subtraction expression 9 + (–10) on the number line shown. Explain how you would evaluate the expression on the num
Doss [256]

9+(-10) is the same as saying 9-10.


You would start at your fires number, 9.


When subtracting you move to the left.


Start at 9 and move 10 units left. D



<u><em>The answer is D</em></u>

8 0
3 years ago
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