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:
AC =
units²
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse AC is equal to the sum of the squares on the other 2 sides, that is
AC² = AB² + BC² = 5² + 8² = 25 + 64 = 89 ( take square root of both sides )
AC =
≈ 9.43 ( to 2 dec. places )
Translations move the pre-image horizontally or vertically, but retain its orientation.
Reflections reflect across axes, mirroring the pre-image. Reflections result in a change of orientation.
Dilations stretch or shrink the pre-image by a scale factor; they change the pre-image's size but retain the pre-image's orientation.
Rotations rotate around a center point, but don't change the direction of the shape (its orientation).
Answer:
g. reflections
Craming last minute can lead to unecessary confusion however most examinars dont allow asking questions during exam
So if asking questions for clarification is allowed. A) is the odd one out
And these options are rather for test taking than learning