Answer:
slope = 2.5 and the y intercept is 3
Step-by-step explanation:
To find the slope we can use the formula
m = (y2-y1)/(x2-x1)
I will use the point (2,8) (6,18) We can pick any 2 point we want.
= (18-8)/(6-2)
= (10/4)
= 2.5
To find the y intercept we need to find the equation of the line.
We will use the point slope form
y-y1= m(x-x1)
y-8 = 2.5(x-2)
Distribute the 2.5
y-8 = 2.5x-5
Add 8 to each side
y-8+8 = 2.5x-5+8
y = 2.5x+3
This equation is in slope intercept form y = mx+b
where the slope is 2.5 and the y intercept is 3
In order to subtract mixed fractions, we must convert them into improper fractions first. To do this simply multiply the whole number by the denominator and add the numerator. The product of this operation will be the new numerator (the whole number is no longer present).
(56 + 7)/8 - (12 + 1)/4
= 63/8 - 13/4
Now that we have our fractions in improper form, we must find the least common denominator which is 8. To avoid changing the value of the second fraction, multiply both the numerator and denominator by 2 (which is essentially 2/2 which equals to 1).
63/8 - 26/8
= 37/8
Answer:
Step-by-step explanation:
if you need help let me know
Since you're told c is the independent varialbe, you need to solve your equation for p:
6c = 2p - 10
6c + 10 = 2p
3c + 5 = p
Now you need to use function notation. Remember that in function notation, you need to use the variable consistently.
f(p) = something with c doesn't match up.
You need
f(c) = something with c in it
Even without doing the first initial work, the only answer that makes c the independent variable is <u>Answer B</u>. But it's also good that <u>Answer B</u> matches our equation above.
Answer:
a = 30
b = 15
c = 3
d = 30
e = 10
f = 20
Step-by-step explanation:
60 deg and a + 30 are alt int <S and congruent
a + 30 = 60
a = 30
a + 30 and a + 2b are corresponding angles and congruent
a + 2b = a + 30
2b = 30
b = 15
a + 2b and 5b - 5c are vertical angles and congruent
5b - 5c = a + 2b
5(15) - 5c = 30 + 2(15)
75 - 5c = 30 + 30
75 - 5c = 60
-5c = -15
c = 3
a + 2b and 10c + d are corresponding angles and congruent
10c + d = a + 2b
10(3) + d = 30 + 2(15)
d + 30 = 60
d = 30
5b - 5c and 2d + 6e are supplementary and add to 180
5b - 5c + 2d + 6e = 180
5(15) - 5(3) + 2(30) + 6e = 180
75 - 15 + 60 + 6e = 180
6e + 120 = 180
6e = 60
e = 10
2d + 6e and 4f + 4e are alt int angles and congruent.
4f + 4e = 2d + 6e
4f + 4(10) + 2(30) + 6(10)
4f + 40 = 60 + 60
4f + 40 = 120
4f = 80
f = 20