Here, first we need to calculate the slope of the line,
Here, Coordinates = (-6, 2) (-1, -4)
m = y2 - y1 / x2-x1
m = 2 + 4 / -6 + 1
m = 6/-5
m = -6/5
Now, Take first coordinate: y - 2 = -6/5 (x + 6)
Second coordinate: y + 4 = -6/5 (x + 1)
In short, Your Answers would be Option C & D
Hope this helps!
Answer:
Robin will have 12 dimes in his pocket.
Step-by-step explanation:
Since;
D = One dime = $0.1
P = One penny = $0.01
Amount to have less = $1.08
From the above, when a dime is changed to a penny, the amount held by Robin will decrease by $0.09. That is,
Decease in holding = D - P = $0.1 - $0.01 = $0.09
Therefore, we have:
Number of dimes = Amount to have less / Decease in holding = $1.08 / $0.09 = 12 dimes
Therefore, Robin will have 12 dimes in his pocket.
3(9)=27
27+4Y=43
subtract 27 from both sides
4Y=16
devide both sides by 4
Y=4
Answer:
x = 15 or x = - 
Step-by-step explanation:
Cross- multiplying gives
(14x + 6)(17x + 5) = 9x(27x + 11) ( expanding factors )
238x² + 172x + 30 = 243x² + 99x
rearrange into standard form : ax² + bx + c = 0
5x² - 73x - 30 = 0 ← in standard form
consider the factors of the product 5 × - 30 = - 150 which sum to the coefficient of the x-term (- 73 )
the factors are - 75 and + 2
Use these factors to split the middle term
5x² - 75x + 2x - 30 = 0 ( factor by grouping )
5x(x - 15) + 2(x - 15) = 0 ← take out the factor (x - 15)
(x - 15)(5x + 2) = 0
equate each factor to zero and solve for x
x - 15 = 0 ⇒ x = 15
5x + 2 = 0 ⇒ x = - 
96 divided by 3 is 32
Therefor, it is divisible by 3
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