The first step is to quickly factor each of the five equations... to do so, find the right factors of the 3rd given number so that they add up in an equal number to the second number... 14 = -7 • -2 and -9 = -7 + -2
a^2 - 9a + 14 = 0
(a - 7) (a - 2)
a - 7 = 0, a = 7
a - 2 = 0, a = 2
{2,7}
a^2 + 9a + 14 = 0
(a + 7) (a + 2)
a + 7 = 0, a = -7
a + 2 = 0, a = -2
{-2, -7}
a^2 + 3a - 10 = 0
(a + 5) (a - 2)
a + 5 = 0, a = -5
a - 2 = 0, a = 2
{-5, 2}
a^2 - 5a - 14 = 0
(a - 7) (a + 2)
a - 7 = 0, a = 7
a + 2 = 0, a = -2
{-2, 7}
Find the perimeter of the circle is the same as finding the circumference of the circle.
Circumference Formula: C = 2πr
Divide the diameter by 2 to find the radius.
7 / 2 = 3.5
Solve using the given values.
C = 2(3.14)(3.5)
C = 2(10.99)
C = 21.98
Therefore, the circumference (perimeter) of the circle is 21.98cm²
Best of Luck!
Answer:
1 mile
Step-by-step explanation:
Henry: 20/4 = 5 miles/hour
Josie: 30/5 = 6 miles/hour
Difference:
6 - 5 = 1 mile/hour
Answer: c
Step-by-step explanation:
A direct proportion has a formula that is written this way: y=kx
what does that mean ?
There is an image at the end to make you understand .
a direct proportion is a straight line that must go from the origin . why?
- simply beacuse it equals 0 in 0 . y=k*0=0 . so the coordinates of that point are (0,0) wich is the origin !
- a direct proportion must have a constant slope to make it go straight or it wouldn't be a straight line . i left an image to make it clear
- a diect proprtion must not have a slope of 1 . it can be 1, 2,100000 or 0.5
- its graph must be linear
8,10,13,15,18,23,26,30
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