we are given
Firstly, we will simplify left side
and then we can solve for k
Left side is
we can arrange like terms
now, we can use property of exponent
now, we can equate it with right side
and we get
We can see that both sides have 30 , a and b
and they are equal
so, exponent of a must also be equal
now, we can solve for k
................Answer
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:
Commission is $45.00
Weekly salary was $150.00 + $45.00
She earned $195.00 for her paycheck
Step-by-step explanation:
In order to find this, you need to find the difference between the price. Take 2.89 and subtract it by 2.82. You should now have .07. Next, take the .07 and divide by the original number(2.89). Your answer is .02422, or 2.4%
