Answer:
4 minutes 3 seconds
Step-by-step explanation:
Step one:
Given data
A kangaroo hops 2 kilometers in 3 minutes
The rate/speed is
rate/speed= 2/3 km per minute
Required
the time taken to cover 3 km
Step two:
We know that
rate= distance/time
2/3= 3/t
cross multiply we have
2t=3*3
2t=9
divide both sides by 2
t= 9/2
t= 4.5 minutes
t= 4 minutes 3 seconds
The surface area of the rectangular prism is 544 cm^2.
There are 3 pairs of different rectangles that form the rectangular prism.
If we find the area of each and add them up, we will have the surface area.
Here are the 3 pairs of rectangles:
6 x 16 = 96
8 x 16 = 128
6 x 8 = 48
2(96) + 2(128) + 2(48) = 544
The solution to the problem is as follows:
2x² - 7x = 3 can be re-written as 2x² - 7x - 3 = 0
<span>
Either by completing the square or using the quadratic formula this can be solved . </span>
<span>
Let's complete the square. </span>
<span>
2x² - 7x - 3 = 2(x² - 3.5x - 1.5) = 2(x - 1.75)² - 9.125....then we can put </span>
2(x - 1.75)² = 9.125 : (x - 1.75)² = 9.125/2 = 4.5625
x - 1.75 = √4.5625 ≈ ± 2.14
<span>x = 1.75 ± 2.14 .....thus x ≈ 3.89 and x ≈ - 0.39
</span>
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The answer is B. Maggie starts at her friends house and walks straight home
Answer:
C. 3x - y = -2
Step-by-step explanation:
We know that lines with the same slope are usually parallel
3x - y = -2
-y = -3x - 2
y = 3x + 2
They have the same slope so we can assume that they're parallel
You can also graph to check this
