Answer:
2 v 13, 2 Square root 13
Step-by-step explanation:
there's 2 right triangles
a)
10^2 = 6^ + a^2
100 - 36 = a^2
64 = a ^2
a = 8
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now we know the base of the right triangle = 8
and also the base of the left one = 4
8 + 4 = 12
--------------------------------------------
now find x
b)
x^2 = 6^2 + 4^2
x^2 = 36 + 16
x^2 = 52
x = (square root) 52
x = 2 v 13 <---- "v = square root"
Answer:
8 - 10 or -2
Step-by-step explanation:
h(-4) = -2(-4) - 10 = 8 - 10. If you want the answer to the problem, 8 - 10 = -2.
Answer:
x^2 + 16x - 15 = 0.
Step-by-step explanation:
x^2 + 16x – 11 = 4 Subtract 4 from both sides:
x^2 + 16x - 15 = 0 is one equation with the same roots.
Also any equation which is a multiple of the above will have the same roots. For example if we multiply by 3:
3x^2 + 48x - 45 = 0.
With that information you can determine how far the park is from the football field.
Call h the height of the triangle, x the distance from the park to the football field and y the distance from the park to the home of Kristen.
Using Pithagora's theorem, ou can state this system of equations:
1) From the complet triangle: x^2 + y^2 = (8 + 2)^2 = 10^2 = 100
2) From the triangle whose hypotenuse is the distance from the park to the football field:
x^2 = 8^2 + h^2
3) From the triangle whose hypotenuse is the distance from the park to the home of Kristen:
y^2 = 2^2 + h^2
To solve the system start by subtracting equation 3) from equation 1) =>
x^2 + y^2 = 100
y^2 = 4 + h^2
---------------------
x^2 = 100 - 4 - h^2
x^2 = 96 - h^2
Now sum this result to equation 2
x^2 = 96 - h^2
x^2 = 64 + h^2
---------------------
2x^2 = 96 + 64
2x^2 = 160
=> x^2 = 80
=> x = 8.94
Answer: 8.94 miles
Answer:
10cm
Step-by-step explanation:
The formula for perimeter is:
Let the width of the rectangle be x then the length would be...
3+x
Now, let's plug these values into the equation and solve. (Note we are also given perimeter is 34 cm):
And since the length is x+3 then it is...
x+3=7+3=10cm
