Answer:
-23 divided by -7
Step-by-step explanation:
Answer:
Step-by-step explanation:
This is a question that uses the Pythagorean Theorem.
a = 35 feet
b = x which is the height of the tree.
c = 3*x + 1 so we are trying to find x. Substitute into a b and c
a^2 + b^2 = c^2
35^2 + x^2 = (3x + 1)^2
35^2 + x^2 = 9x^2 + 6x + 1 Subtract x^2 from both sides.
35^2 = 8x^2 + 6x + 1 Subtract 35^2 from both sides.
0 = 8x^2 + 6x + 1 - 35^2
0 = 8x^2 + 6x - 1224
Does this factor?
(x + 12.75)(x - 12)
x - 12 = 0 is the only value that works.
x = 12
The tree is 12 feet high.
Note: I used the quadratic formula to solve this.
Answer:
n = - 6
Step-by-step explanation:
Given k(x) then k(x) + n is a vertical translation of k(x)
• If n > 0 then a shift up of n units
• If n < 0 then a shift down of n units
Here k(x) has been shifted from (0, 0 ) to (0, - 6 )
That is a shift down of 6 units, then
p(x) = k(x) - 6
That is n = - 6
Answer:
y=1/2x+3.5
Step-by-step explanation:
this one was a bit trickier than the previous one, but i think that that answer is correct. i did the same thing i did to solve your last problem, solved for the slope, and then made a number line and marked the points given, drew a line through the two points, and found where the line intercepted the y axis.
12 + 12 + 7 + 7 = 38 yards
$1.33 x 38 yards = $50.54
Answer = $50.54
