Answer:
A = 2.1 ft^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh where b is the base and h is the height
A = 1/2 ( 2.8)(1.5)
A = 2.1 ft^2
Answer:
Its 11.50 per shirt
Step-by-step explanation:
We know this because if you do 46/4 = 11.50 and if you do 80.50/7 = 11.50 as well
Answer:
f(x) + k
Explanation:
Vertical shift is represented by adding/subtracting a constant from the original given equation.
If the constant added is +ve, this means that the curve is vertically shifted upwards
If the constant added is -ve, this means that the curve is vertically shifted downwards.
Now, for the given, we have the original function f(x) and the constant k, therefore, to shift the graph vertically, the new function would be f(x)+k
We have:
f(x) = x² and k = -3
This means that the new function would be:
x² - 3
Since the constant is -ve, we can conclude that the curve is shifted vertically downwards by 3 units
Hope this helps :)
Answer:
x = 5/4 + √65/4 or x = 5/4 - √65/4
Step-by-step explanation:
I'm assuming you mean 2x^2-5x-5=0?
x = ( -b ± √b^2 - 4ac ) / 2a
x = ( -(-5) ± √(-5)^2 - 4(2)(-5) ) / 2(2)
x = ( 5 ± √(25 + 40) ) / 4
x = ( 5 ± √65 ) / 4
x = 5/4 ± √65/4
Therefore, x = 5/4 + √65/4 or x = 5/4 - √65/4
Answer:
Adam is 9 years old.
Step-by-step explanation:
Let d and c represent Adam's and Alicia's ages.
d = c - 15, and
c + 6 = 2(d + 6)
Rearrange d = c - 15 as c = d + 15, and then substitute d + 15 for c in the second equation. We obtain:
d + 15 + 6 = 2(d + 6), or
d + 21 = 2d + 12
Combining like terms, we get 21 = d + 12, or 9 = d.
If d = 9 then c = d + 15, or c = 9 + 15, or c = 24.
Adam is 9 years old.
