Answer:
y - 2 = - 5(x - 7)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 5 and (a, b) = (7, 2) , thus
y - 2 = - 5(x - 7) ← equation in point- slope form
If Eli cut both pieces into 4th's, in all they would have 8 4th's.
Because 4 + 4 + 8 :)
Answer:
-- Proved
Step-by-step explanation:
Given
Required
Show that
The volume is calculated as:
Open the brackets
Collect Like Terms
Divide through by 4
Solving further:
Expand the expression
Factorize:
Split:
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.
