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dangina [55]
2 years ago
13

What is the area of a rectangle with vertices (-8, -2), (-3,-2), (-3,-6), and (-8,-6)?

Mathematics
1 answer:
Gemiola [76]2 years ago
8 0

Answer:

The area of the rectangle is 20 square units

Step-by-step explanation:

Through the x values of the ordered pairs, we can see that the length of the rectangle is 5

-3-(-8)=5

Through the y-values of the ordered pairs, we can see that the width of the rectangle is 4

-2-(-6)=4

The area can be found by multiplying the length and width, so this means

(5)(4)=20

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A toxic radioactive substance with a density of 2 milligrams per square centimeter is detected in the ventilating ducts of a nuc
Zolol [24]

Answer:

60.5 milligrams per square centimeter First, determine how many half lives have expired by dividing the time by the half-life. So: 55/20 = 2.75 That means that only 2^(-2.75) = 0.148650889 = 14.8650889% of the original substance remains. So just divide the amount remaining by 0.148650889 to get the original amount. 9 / 0.148650889 = 60.5445419 So originally, there was 60.5 milligrams per square centimeter 55 years ago.

3 0
3 years ago
Sumara Kato's savings account has a balance of $1663. After 19 years, how much interest
lesantik [10]

Answer: $2936.27

Step-by-step explanation:

Present value = $1663

Rate = 5.5%

Time(n) = 19years

Future value= PV(1+r)^n

= 1663(1+5.5%)^19

= 1663(1.055)^19

=1663 × 2.766

=4599.86

Interest = Future value - Present value

= $4599 - $1663

= 2936

4 0
3 years ago
Write the slope and y-intercept of each equation.
ioda

Answer:

okay here goes.

Step-by-step explanation:

1. slope = -5  and y-intercept is (0,6)

2. slope = 3 and  y-intercept is (0,-2)

3. -2 and (0,-4)

4. 8 and (0,1)

5. 5 and (0,-3)

6. -3 and (0,-9)

7. 7 and (0,2)

8. -1 and (0,6)

9. -4 and (0,7)

10. -6 and (0,-8)

11. 8 and (0,-5)

12. 9 and (0,3)

You owe me. That took a long time to write.

3 0
2 years ago
Answer Question number 5 <br><br>Plzzzz
Softa [21]

Step-by-step explanation:

Consider x⅓ =a

then the following expression can be written as

a²+a-2

a²+2a-a-2

a(a+2)-1(a+2)

(a+2)(a-1)

a= -2 or, a= 1

Putting the value of a

x⅓ = -2 and, x⅓ =1

6 0
3 years ago
Read 2 more answers
Curtis is twice as old as his brother Jonathan. Olivia is six years younger than Jonathan. The sum of their ages is 58 years.
liraira [26]
C=2 times j
c=2j
o=j-6
c+j+o=58

subsitte j-6 for o and 2j for c

2j+j+j-6=58
4j-6=58
add 6 to both sides
4j=64
divide both sides by 4
j=16

sub back


c=2j
c=2(16)
c=32

o=j-6
o=16-6
o=10


curtis=32
olivia=10
jonathan=16

equations are
c+j+o=58
c=2j
o=j-6
7 0
3 years ago
Read 2 more answers
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