Answer:
-18 and -2.
Step-by-step explanation:
-18 - 2 = -20
-18 * -2 = 36
This is an isosceles triangle. The definition of an isosceles triangle is a triangle with at least two congruent sides and angles. If 2 angles on a triangle are congruent (in this case 45 and 45 are two congruent angles) then triangle is isosceles. Therefore the two sides of triangle will be congruent. We know that the triangle is a right triangle because it has a hypotenuse. If a triangle has a hypotenuse then it's a right triangle. We can apply the Pythagorean theorem: a^2 + b^2 = c^2
A and B are the legs and C is the hypotenuse.
We can plug C in the equation:
a^2 + b^2 = 128
What do we know about the legs of the isosceles triangle? They are congruent so a and b have to be equal. From here it's simply guess and check. Will 8 work?
8^2 + 8^2 = 128
64 + 64 = 128
128=128
Yes the value 8 works so the length of two legs of the triangle is 8.
Answer: Area = 4w² + 30w + 36
Step-by-step explanation:
Let w represent the width of the rectangular patio.
The rectangle patio has a length four times its width. It means that the length of the patio is 4w.
The formula for determining the area of a rectangle is expressed as
Area = length × width
If the boarder is 3 ft, the combined length of the patio and the boarder would be (4w + 3 + 3) = (4w + 6) feet
Also, the combined width of the patio and the boarder would be
(w + 3 + 3) = (w + 6) feet
Therefore, the expression for the area of the patio and boarder is
Area = (4w + 6)(w + 6)
Area = 4w² + 24w + 6w + 36
Area = 4w² + 30w + 36
The divisibility rule for 12: A number is divisible by 12 if it's divisible by both 6 and 2. The reason for this is because 12 = 6 x 2.
Answer:
Given function f(x) = 2x^3+15x^2+22x-15. Leading coefficient is p= 2,and constant q is 15. If p/q is a rational zero ,then p is a factor of ...
Step-by-step explanation:
