Answer:
D) y = 3x - 9
Step-by-step explanation:
Answer:
x=18
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
(1
/2
)x−7 = (1
/3
)x−4 (Distribute)
Step 2: Subtract 1/3x from both sides.
(1
/6)
x−7=−4
Step 3: Add 7 to both sides.
(1
/6
)x=3
Step 4: Multiply both sides by 6.
x=18
Answer:
The area of the deck that surrounds the hot tub is 17.9 m².
Step-by-step explanation:Base of deck = 5 m
Height of deck = 5 m
Area of deck = base*height
= 5*5
= 25 m²
A circular hot tub is placed in the deck whose diameter is 3 m.
Radius = diameter/2
= 1.5 m
Area of the circular hot tub = πr²
= 3.14*(1.5*1.5)
= 7.07 m²
Area of the deck that surrounds the hot tub = Area of deck - Area of tub
= 25 - 7.07
= 17.93 m²
= 17.9 m²
If this is a right triangle, then
where c is the hypotenuse which is ALWAYS THE LONGEST SIDE. Our longest side is 5, so we will set up Pythagorean's Theorem to see if the addition of the squares of a and b = the square of c:
. Squaring all of that and adding on the left gives us 25=25. Because this is true, we have proven the converse of the Pythagorean Theorem here and this is a right triangle.
