Best Answer: <span> 1.)
x^2 + y^2 = 30^2 since the radius is 30 ft
x^2 + y^2 = 900
2.)
Solving for y
y = √(900 - x^2) </span>
Answer:
x=−2 and y=−1
Step-by-step explanation:
<u>Problem:</u>
Solve y=x2;y=−x−3
<u>Steps:</u>
I will solve your system by substitution.
y=1/2x;y=−x−3
Step: Solve y= 1/2x for y:
Step: Substitute 1/2 x for y in y=−x−3:
y=−x−3
1/2x= =−x−3
1/2x+x=−x−3+x(Add x to both sides)
3/2x = -3
3/2x/3/2 = -3/3/2 (Divide both sides by 3/2)
x=−2
Step: Substitute −2 for x in y=1/2x:
y=1/2x
y=1/2(-2)
y=−1(Simplify both sides of the equation)
<u>Answer:</u>
x=−2 and y=−1
That would be rolling a 1 and a 2 .
so possibilities are 1 on first die and 2 on the second die
OR 2 on first die and 1 on the second.
Both of these have a probability of 1/6 * 1/6 = 1/36
so required probability = 1/36 + 1/36 = 2/36 = 1/18
Answer:
y = 5x - 7
slope = 5
Step-by-step explanation:
35x - 7y = 49
Subtract 35x from both sides.
-7y = -35x + 49
Divide both sides by -7.
y = 5x - 7
The equation is now in the slope-intercept form, y = mx + b, where m is the slope.
slope = m = 5
Volume of the cone is 100 in³
Step-by-step explanation:
- Step 1: Volume of a cone = 1/3 πr²h. Find volume of the cone where r = 3 inches and h = 9 inches.
Volume = 1/3 × 3.14 × 3² × 9
= 84.78 in³ ≈ 100 in³ (rounding off to nearest hundredth)
