<span>We can use the Pythagorean theorem to solve for the diagonal (hypotenuse) length of the gate. This theorem states that a^2 + b^2 = c^2 where a and b are the leg lengths and c is the hypotenuse length. In this case, 80^2 + 60^2 = 6400 + 3600 = 10,000 = c^2. Taking the square root, we see that the length of the brace is 100 inches (thus making the gate a standard 3-4-5 right triangle).</span>
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Answer:
There's no choices in your question but perpendicular lines cross through each other and intersect.
Step-by-step explanation:
Answer: 9x^2 + 2x - 5
Step-by-step explanation:
6x^2 - 5x + 3 + 3x^2 + 7x -8
Like terms are: (6x^2 and 3x^2), (-5x and 7x), and (3 and -8)
6x^2 + 3x^2 = 9x^2
-5x + 7x = 2x
3 + -8 = -5
9x^2 + 2x - 5 is the simplest answer
Answer:
x=-4
y=1
Step-by-step explanation:
For the given system of equations,
2.5x-3y=-13.....eqn(1)
3.25x-y=-14.....eqn(2)
We first make y the subject of eqn (2)
This implies that,
y=3.25x+14.....eqn(3)
We substitute eqn (3) into eqn (1)
2.5x-3(3.25x+14)=-13
2.5x-9.75x-42=-13
-42+13=9.75x-2.5x
-29=7.25x
Dividing through by 7.25, we obtain
x=-4
We now put the value of x into eqn (2)
3.25(-4)-y=-14
This implies that,
-13+14=y
y=1
