3 RIGHT TRIANGLES
1 big right triangle is divided into 2 smaller ones. Medium
and small.
<span> a.How far is the spot on the beach from the parking lot? </span>
Medium triangle: long leg = 32 m ; short leg = x
Small triangle: long leg = x ; short leg = 18m
32/x = x/18
32*18 = x*x
576 = x²
√576 = √x²
24 = x
Parking lot to the beach is 24 meters.
<span>b. How far will he have to walk from the parking lot to get to the refreshment stand?</span>
Use Pythagorean theorem:
Medium triangle: long leg = 32 m ; short leg = 24 m ;
hypotenuse = ?
32²+ 24² = c²
1024 + 576 = c²
1600 = c²
√1600 = √c²
40 m = c
Parking lot to refreshment stand is 40 meters.
Answer:
144
Step-by-step explanation:
The equation to find c is:
So put -24 into b:
Which simplifies to:
144
So if you want to test this:
x^2 - 24x + 144
is
(x-12)^2
The answer is the question B!!
Answer:
(-6, 9) is the solution set for given system.
Step-by-step explanation:
Given that:
3x-y=-27 ----------- eq1
4x+2y=-6 --------- eq2
Solving by combining the equations:
Dividing eq2 by 2 we get:
2x + y = -3 ------- eq3
Now add eq1 and eq3, we get:
5x = -30 (y from both equations will be cancelled out)
Dividing both sides by 5:
x = -6
Now putting value of x back in eq3:
2(-6) + y = -3
-12 + y = -3
Adding 12 on both sides:
y = -3 + 12
y = 9
So the solution set for given system is (-6, 9)
i hope it will help you!
