You have already done half of it. Now substitute for x1 = 4 and y = 5
y - 5 = 6/7(x - 4)
Multiply everything by 7 to remove fractions
7y - 35 = 6(x - 4)
7y - 35 = 6x - 24
-6x + 7y = -24 + 35
-6x + 7y = 11
Some people prefer a positive number in front of x so multiply by -1
6x - 7y = -11
You can check the answer by testing it works for both of the original points
6x4 - 7x5 = 24 - 35 = -11 true
6x-3 - 7x-1 = -18 - -7 = -11 true
Total amount of money in the savings account after 11 weeks is $1310.
Total money in the account =
Initial Money + Money added per week x Number of weeks
Given:
Initial Money = $650
Money added per week = $60
Total money in the account = S
Number of weeks = W
Substituting it in the above equation we get,
S = $650 + $60xW (General Equation)
Total amount of money in the savings account after 11 weeks
S = $650 + $60x11
S = $650 + $660
S = $1310
Thus total amount of money in the savings account after 11 weeks is $1310.
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Answer:
inverse variation
Step-by-step explanation:
F is inversly proportional to r
Answer:
The error Tara made is she rewrote incorrectly 3 3/8 as 17/8 and 4 1/9 as 13/9,
the corrected number can be rewrote as 3 3/8 as 27/8 and 4 1/9 as 37/9.
Step-by-step explanation:
To find the Product of:
The Number can be rewrote as,
Tara made error here she rewrote the number incorrectly 3 3/8 as 17/8 amd 4 1/9 as 13/9.
Now multiplying the fraction we get
Because she rewrote incorrectly which led her answer to multiplication of fraction, the product too was incorrect which she wrote as 221/72.
ANSWER: A. 46
SOLUTION
Given that Q is equidistant from the sides of TSR
m∠TSQ = m ∠QSR
To solve for x
m∠TSQ = 3x + 2
m ∠QSR = 8x – 33
Since m∠TSQ = m ∠QSR
3x + 2 = 8x – 33
Add 33 to both sides
3x + 2 + 33 = 8x – 33 + 33
3x + 35 = 8x
8x = 3x + 35
Subtract 3x from both sides
8x – 3x = 3x – 3x + 35
5x = 35
Divide both sides by 5
x = 7
Since m∠TSQ = 3x + 2, and x = 7
m∠TSQ = (3*7) + 2
m∠TSQ = 21 + 2
m∠TSQ = 23
To solve for RST
Given that Q is equidistant from the sides of RST
m∠RST = m∠TSQ + m ∠QSR
Since m∠TSQ = m ∠QSR
m∠RST = 2m∠TSQ = 2m ∠QSR
Ginen, m∠RST = 2m∠TSQ
m∠TSQ = 23
m∠RST = 2(23)
m∠RST = 46
