No, Yes, No, Yes
using the laws of exponents
(1)
(
)³ = 
4³ × 4³ = 
≠
→ No
(2)
(
)^4 = 
×
=
→ Yes
(3)
= (6 × 3 )^8 =
×
≠
×
→ No
(4)
= (4 × 5 )³ = 4³ × 5³ → Yes
The hurdle and runner form a right triangle (see attached picture) such that
sin(30°) = <em>h</em> / (5 ft)
and
cos(30°) = <em>x</em> / (5 ft)
where <em>h</em> is the height of the hurdle and <em>x</em> is the horizontal distance from where the runner jumps to the hurdle. So
<em>h</em> = (5 ft) sin(30°) = 5/2 ft = 2.5 ft
<em>x</em> = (5 ft) cos(30°) = (5√3)/2 ft ≈ 4.33 ft
Answer:
x=−2 or x=4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x2−2x−3=5
Step 2: Subtract 5 from both sides.
x2−2x−3−5=5−5
x2−2x−8=0
Step 3: Factor left side of equation.
(x+2)(x−4)=0
Step 4: Set factors equal to 0.
x+2=0 or x−4=0
x=−2 or x=4
Answer:
1.75
Step-by-step explanation:
Low- 81
Q1-82.5
Median- 83.5
Q3-84
High- 85
Answer:C
Step-by-step explanation:There is definitely enough info.
And there are no angles so it has to be SSS~ (It's dilated by 1.5 by the way)