Answer:
Step-by-step explanation:
The first step to this problem is to look at the key features of the initial expression given to us. Namely, the middle term.
Notice that it is just 
. This indicates that the square root terms cancel out, meaning that their signs need to be opposite, but the threes need to have the same, positive sign. This indicates that our answer is option C, but you should always double check by multiplying the expression out to confirm. Here are the steps:
Therefore as we suspected, the answer is C.
Answer:
<h2>z = 5</h2>
Step-by-step explanation:
-0.25z= -1.25
Convert the decimals to improper fractions
That's
<h3>
</h3><h3>
</h3>
So we have
<h3>
</h3>
Multiply through by 4
We have
- z = - 5
Divide both sides by - 1
the final answer is
<h3>z = 5</h3>
Hope this helps you
Answer: Positive
Step-by-step explanation:
A scatter plot for speed and distance is created.
We know that distance = speed x time
Hence when speed increases , distance increases and similarly when speed decreases, distance decreases.
Thus if we plot on x axis distance, we find that x increases when y increases.
So we find that there is a strong positive relationship between the two variable
D=tS
where D= distance S=speed and T=time.
Since D varies directly as speed, we have positive relationship.
Hope this helps! :)
Answer:
110.5 yd²
Step-by-step explanation:
Separate the figure into 1 triangle and 3 rectangles.
(see attached image)
<u>Area 1</u>
Area of a triangle = 1/2 × base × height
= 1/2 × (7 + 2 + 2) × 7
= 1/2 × 11 × 7
= 38.5 yd²
<u>Area 2</u>
Area of a rectangle = width × length
= 3 × (5 + 2 + 2)
= 3 × 9
= 27 yd²
<u>Area 3</u>
Area of a rectangle = width × length
= 5 × (5 + 2)
= 5 × 7
= 35 yd²
<u>Area 4</u>
Area of a rectangle = width × length
= 2 × 5
= 10 yd²
<u>Total Area</u>
Area 1 + Area 2 + Area 3 + Area 2 = 38.5 + 27 + 35 + 10
= 110.5 yd²
Answer:
56 1/4 yards
Step-by-step explanation:
Area of the tarp = length × width
Length = 8 1/3 yards
Width = 6 3/4 yards
Area of the tarp = length × width
= 8 1/3 yards × 6 3/4 yards
= 25/3 × 27/4
= (25 * 27) / (3 * 4)
= 675 / 12
= 56 1/4 yards
Area of the tarp = 56 1/4 yards
