Answer:
False
Step-by-step explanation:
As integer is a whole number that is not a fractional number that can be positive, negative, or zero.
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.
<h3>
Answer: (3, -2)</h3>
Explanation:
Your teacher wants you to find the midpoint. This is the point that is in the middle of the two given points. Let's call this M. So the distance from M to (5,-5) will be the same as the distance from M to (1,1)
The x coordinates of (5,-5) and (1,1) are 5 and 1 respectively.
Add them up: 5+1 = 6
Divide by two: 6/2 = 3
The x coordinate of the midpoint is x = 3
Repeat for the y values -5 and 1
Add: -5+1 = -4
Divide in half: -4/2 = -2
The y coordinate of the midpoint is y = -2
So the midpoint is M = (x,y) = (3,-2)
If you were to use the distance formula, you would find that
distance from (5,-5) to (3,-2) = distance from (3,-2) to (1,1)
This is what it means to be "equidistant" (aka "equally distant")
