Answer:
y-4=0
Step-by-step explanation:
its the only that doesn't have a x?
We are given
area of sphere is 200.96cm^2
it means that we are given surface area
so, we can use surface area formula
where S is surface area
r is radius
so, firstly we need to find radius or r
we can solve for r
now, we can find volume
we can plug r
now, we can find volume
.............Answer
Answer:
<u>The system has two solutions:</u>
<u>x₁ = 5 ⇒ y₁ = -10</u>
<u>x₂ = -2 ⇒ y₂ = 11</u>
Step-by-step explanation:
Let's solve the system of equations, this way:
y = -3x + 5
y = x ² - 6x - 5
Replacing y in the 2nd equation:
y = x ² - 6x - 5
-3x + 5 = x ² - 6x - 5
x ² - 3x - 10 = 0
Solving for x, using the quadratic formula:
(3 +/- √(9 -4 * 1 * -10))/2 * 1
(3 +/- √9 + 40)/2
(3 +/- √49)/2
(3 +/- 7)/2
x₁ = 10/2 = 5
x₂ = -4/2 = -2
x₁ = 5 ⇒ y₁ = -10
x₂ = -2 ⇒ y₂ = 11
<u>As we can see the system has two different solutions</u>
Answer:
Y-intercept is (0, -13)
X-intercept is at (13/5, 0)
Step-by-step explanation:
When it's in this form, y = mx + b, you automatically know what the y-intercept is (b).
So the y-intercept is (0, -13)
To algebraically find this, you'd plug in a 0 for x, since the y intercept is when it crosses the y-axis, which is located at x = 0.
To find the x intercept, you'd do the opposite of the y-intercept, which is plugging in a 0 for y and solving for x. The x-axis is located at y = 0.
0 = 5x - 13
13 = 5x
x = 13/5
The x-intercept is at (13/5, 0)
I hope this helped!
To find the answer, multiply 22 1/2 by 3.
22 1/2 x 3 = 67 1/2
This can round up to 68
The answer is C. 68 mph
If you have any further questions feel free to ask.
Hope this helps.
