Answer:
Slope-Intercept form: y = m x + b
y = value of y corresponding to value of x
2 y = 10 x - 6
y = 5 x - 3 equation of line where m is the slope and -3 value of y when x
equals zero
Answer:
square feet
Step-by-step explanation:
Circumference = 2πr
13π = 2πr
=r
Area = πr²
π ×
² =
π square feet
6 people because there is 2 times as many humans compared to pets. so 3 x 2 = 6!
Answer: 24
<u>Step-by-step explanation:</u>
Let's find one solution:
3x² + 7x + c = 0
a=3 b=7 c=c
First, let's find c so that it has REAL ROOTS.
⇒ Discriminant (b² - 4ac) ≥ 0
7² - 4(3)c ≥ 0
49 - 12c ≥ 0
-12c ≥ -49
Since c must be a positive integer, 1 ≤ c ≤ 4
Example: c = 4
3x² + 7x + 4 = 0
(3x + 4)(x + 1) = 0
x = -4/3, x = -1 Real Roots!
<em>You need to use Quadratic Formula to solve for c = {1, 2, 3}</em>
<em />
Valid solutions for c are: {1, 2, 3, 4)
Their product is: 1 x 2 x 3 x 4 = 24
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Answer:
The equation of the parabola is (x-2)^2 =8(y-2)
Step-by-step explanation:
Given focus is (2,4) and the directrix is y=0 so the parabola axis is parallel to y- axis.
Focus is (α,β+a) and the directrix is of the form y = β-a
so given focus is (2,4) compare (α,β+a)
here β+a = 4 and a=2 and β=2
now given directrix y = β-a = 2-2 = 0
now the general parabola is (x-α)^2 =4a(y-β) ...(1)
now substitute α =2 ,β=2 and a=2 above equation
The equation of the parabola is (x-2)^2 =8(y-2)