Answer:
formula is y= mx + c (c=y intercept)
1) slope= m= -0.75, y intercept = -2
y= -0.75x - 2
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2)slope=m=0.5, y intercept = 8
y= 0.5x + 8
Answer:
15..
Step-by-step explanation:
4, 10, 14, 18, 22, 22
Mean = (4 + 10 + 14 + 18 + 22 + 22)/6
= 90/6
= 15.
Number to be added, 'y'
For the mean to be the same
(90 + y) / 7 = 15
90 + y = 15 × 7
90 + y = 105
y = 105 - 90
= 15
ANSWER:
d. x = 15, y= 15√3
EXPLANATION:
This is a special triangle, more specifically a 30-60-90 degree triangle. For sake of not confusing x and y, we will use z to use as our reference for solving this triangle. The side lengths for each angle are as follows:
• 60 degrees = z√3
- this is the value for your y answer
• 30 degrees = z
- this is the value for your x answer
• Hypotenuse = 2z
- this is what we already have
We solve for what we already have which is the Hypotenuse = 30:
2x = 30
x = 15
We now have our x value which is 15.
Now we just plug in that x value for every expression for every angle.
x = 15
y = 15√3
Sorry if I explained it too thoroughly but I’ll be glad to answer any questions or clarifications
Answer:
<h3>The change in the scale factor is
ft</h3>
Step-by-step explanation:
Given that Sienna planned a trapezoid-shaped garden.
And She decides to change the length of the top of the trapezoid-shaped garden from 32 ft to 24 ft.
Let Old length of the top be 32 ft
Let New length of the top be 24 ft
ft
<h3>∴ the change in the scale factor is
ft</h3>
Answer:
F.
Explanation:
The number of quarts of cream Type A is x.
Type A cream has 18% butterfat, so the amount butterfat will be 0.18x
For type B, we know that the total amount of cream will be 90, so if cream type A is x, cream type B is 90 - x.
Type B crem has 24% butterfat, so teh amount in the mixture will be 0.24(90-x)
Then, the mixture will be 90 quarts of crean that is 22% butterfat, so the amount in the mixture will be 0.22(90)
Therefore, the table that represent this data is table F.
So, the answer is F.
