9514 1404 393
Answer:
x = 12
Step-by-step explanation:
The square of the length of the tangent segment is equal to the product of lengths from the external common point to the two circle intersections of the secant.
x^2 = (2)(70+2)
x^2 = 144
x = √144
x = 12
Answer:
where is the n in the equation?
Step-by-step explanation:
This question boils down to this:
"What is the diagonal of a square with a side length of 90 ft?"
The key to this question is the properties of squares.
All of the angles in a square are right, (90°) but that diagonal is going to bisect two of those into 45° angles.
Now we have two triangles, each with angle measures of 45°, 45°. and 90°.
(an isoceles right triangle)
This 45-45-90 tirnalge is one of two special triangles (the other being the 30-60-90) and here is its special property: the sides opposite these angles can be put as x, x, and x√2 respectively. Why? Well, we know that our triangle is isoceles (the congruent base angles ⇔ congruent sides) and so we call those x...by the Pythagorean theorem...a² + b² = c²...2x² = c²...x√2 = c!
In our case here, that diagonal, being the hypotenuse of our triangle, is going to be 90√2 feet, or approximately 127.3 feet.
Answer:
domain = {x|xER}
range = {y|y≥0,yER}
Step-by-step explanation:
|x| means the absolute value which in this case is the distance from 0. On a graph this function would look like a v and would mean it would have infinite x-values since it is opening upwards in both directions.
For the range the vertex of this function is (0,0), if the x-coordinate were 0 the y-coordinate would be 0 because the absolute distance from 0 is 0. for another x-coordinate say -2 the absolute distance from 0 is 2 meaning the y-value is 0 since y=|x|, making the coordinate (-2,2) meaning the range is every y value must be above 0 since there is no way for the y-value to be negative
