Answer:
Step-by-step explanation:
The equation of a line
y = mx + c
y - intercept point y
m - slope of the line
x - intercept point x.
c - intercept of the line
Step 1: find the slope
m = y2 - y1 / x2 - x1
Given two points
( -7 , -7) ( -7 , 4)
x1 = -7
y1 = -7
x2 = -7
y2 = 4
Insert the values into the equation
m = 4 - (-7) / -7 -(-7)
m = 4 + 7 / -7 + 7
m = 11/ 0
Step 2: sub any of the two points given into the equation
y= mx + c
y = 11/0x + c
(-7 ,4 )
x = -7
y = 4
4 = 11/0(-7) + c
4 = -77/0 +c
-77/0 is math error which means that the points are not correct
Answer:
Mary bought 9 Golden Delicious apples
Step-by-step explanation:
This can be solved by setting up a system of equations. Based on the information given, the equations would be set up as follows.
![.75d+1.25g=21.00\\d+g=22](https://tex.z-dn.net/?f=.75d%2B1.25g%3D21.00%5C%5Cd%2Bg%3D22)
I prefer to solve using substitution, but elimination can be used as well
![.75d+1.25g=21.00\\g=22-d](https://tex.z-dn.net/?f=.75d%2B1.25g%3D21.00%5C%5Cg%3D22-d)
We can now plug in this g value to the first equation
![.75d + 1.25 (22-d)=21.00\\.75d + 27.5-1.25d=21\\27.5-0.5d=21\\-.5d=-6.5\\d=13](https://tex.z-dn.net/?f=.75d%20%2B%201.25%20%2822-d%29%3D21.00%5C%5C.75d%20%2B%2027.5-1.25d%3D21%5C%5C27.5-0.5d%3D21%5C%5C-.5d%3D-6.5%5C%5Cd%3D13)
This means mary bought 13 delicious apples. She bought 22 apples in total, so the total number minus the amount of delicious apples will give us the amount of golden delicious apples.
22 - 13 = g
9 = g
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Answer:
8.5769091e+16
Step-by-step explanation:
Answer:
10 terms
Step-by-step explanation:
equate the sum formula to 55 and solve for n
n(n + 1) = 55 ( multiply both sides by 2 to clear the fraction )
n(n + 1) = 110 ← distribute parenthesis on left side
n² + n = 110 ( subtract 110 from both sides )
n² + n - 110 = 0 ← in standard form
Consider the factors of the constant term (- 110) which sum to give the coefficient of the n- term (+ 1)
the factors are + 11 and - 10 , since
11 × - 10 = - 110 and 11 - 10 = + 1 , then
(n + 11)(n - 10) = 0 ← in factored form
equate each factor to zero and solve for n
n + 11 = 0 ⇒ n = - 11
n - 10 = 0 ⇒ n = 10
However, n > 0 , then n = 10
number of terms which sum to 55 is 10
Answer:
117
Step-by-step explanation:
6/8 = ?/156
156/8 = 19.5
19.5 x 6 = 117
6/8 = 117/156