1 yard=36 inches and 126 inches to yards would be 3.5 yards because 3ft equals 36 inches and 126 divided by 36 equals 3.5 to check to 3.5 multiplied by 36
This value of "a" is exactly the y-coordinate of the vertex of the parabola
y = x%5E2+%2B+4x++-+31.
To find it, complete the square:
x%5E2+%2B+4x++-+31 = %28x%2B2%29%5E2+-+4+-+31 = %28x%2B2%29%5E2+-+35.
So, this value of "a" is a = -35.
Figure. Plot y = x%5E2+%2B+4x++-+31.
Answer:
I think x = 5.25
Step-by-step explanation:
Since they are corresponding angles, they should be congruent.
90 = 16x - 6
84 = 16x
x = 5.25
Answer:
(15, 11).
Step-by-step explanation:
Given the system of equation;
X=2y-7 ..... 1
4x+y=71 ....2
Substitute 1 into2;
4(2y-7) + y = 71
8y - 28 + y = 71
9y - 28 = 71
9y = 71 + 28
9y = 99
y = 11
Substitute y = 11 into 1;
x = 2y - 7
x = 2(11)-7
x = 22-7
x = 15
hence the solution to the equation is (15, 11).
Since this is a right triangle, we can you the pythagorean theorem.
a^2 + b^2 = c^2
In this case,
a = 6
b = ?
c = 10
We need to substitute our values into the pythagorean theorem.
(6)^2 + b^2 = (10)^2. Reduce everything to its simplest form.
36 + b^2 = 100. Subtract 36 from both sides.
b^2 = 64. Take the square root of each side.
b = 8.
