Using the Pythagorean theorem, the length of line segment FJ is: 42 ft.
<h3>How to Apply the Pythagorean Theorem?</h3>
To find the length of line segment FJ, we need to apply the Pythagorean theorem to find the length of the segment from F to the point, say point O, on FJ where a right triangle FOG will be gotten.
Thus, we have:
FO = √(GF² - GO²)
FO = √(30² - 24²)
FO = 18 ft.
FJ = FO + GH
Plug in the values
FJ = 18 + 24
FJ = 42 ft.
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Answer:
the answer is y = 3/4x - 9/2
Answer:
To solve linear equations with multiplication, you first determine that division is being used in the linear equation. Multiplication is the inverse (opposite) operation of division, so you can use multiplication to solve equations where you notice that a number divides the variable.
Step-by-step explanation:
there are 2 blue marbles, 8 red marbles, and 8 plastic red marbles
there are 18 marbles in total
8/18
We'll do it their way, but first let's find OC another way.
AB is the hypotenuse, so AB² = 5² + (5×2)² = 5²(1+2²) = 5³
AB = 5√5
OC is an altitude so the area of the triangle is
(1/2) OA OB = (1/2) OC AB
5(10) = OC (5√5)
OC = 10/√5 = 2√5
OK, we'll check that later.
a)
Equation of AB. Point point form for the join of (a,b) and (c,d) is
(c-a)(y-b)=(d-b)(x-a)
A(0,5), B(10,0)
(10 - 0)(y - 5) = (0 - 5)(x - 0)
10y - 50 = -5x
Answer: AB is x + 2y = 10
OC is perpendicular so we swap the coefficients on x and y, negating one. Through the origin means a zero constant.
Answer: OC is 2x - y = 0
b)
We find the meet, second equation times 2:
4x - 2y = 0
Add first equation,
5x = 10
x = 2
y = 2x = 4
Check 2(2) -4 = 0, good
Answer: C is (2,4)
distance d satisfies
d² = 2² + 4² = 4 + 16 = 20
d = 2√5
Answer: Distance 2√5
That's what we got at the outset. Math works!
