Answer:
y=4x+27
Step-by-step explanation:
If a line is parallel, it would have the same slope, so you already have that.
Now, you need the y-intercept of the second line. You already have one point, so use that point and the slope to find the y-int. What you can do (since you know you have to go up 4 and over 1, add a 1 to the -5 until you get to zero. your y-int would be 7+20 since you've gone up 5x4)
your final answer (i think) should be y=4x+27, but I could be wrong :))
Answer:
22
Step-by-step explanation:
8-10(-2)+5(-2)+4
first you would multiply -10 by -2 and 5 by -2
8+20-10+4
then you would add 8 and 20
28-10+4
then subtract 28 by 10
18+4
then add 18 and 4 together to get
22
The equation would be Black + brown
(2.3x^2 - 5.6x + 2.3) + (<span>2.4x^2 + 7.2x + 0.97)
combine all like terms:
4.7x^2+1.6x+3.27</span>
Answer:
280 ft squared
Step-by-step explanation:
To find the area of the nonshaded portion, we can find the area of the entire floor and then subtract the shaded area.
The total area is that of a rectangle: 30 * 15 = 450 ft squared.
Now, the shaded region is made up of a rectangle and a triangle.
- The rectangle has length 8 and width 10, so its area is 10 * 8 = 80 ft squared.
- The triangle has base 12 and height 15, so using the area of a triangle formula: 
(where b is the base and h is the height) = (12 * 15)/2 = 180/2 = 90 ft squared.
- The total shaded region is: 80 + 90 = 170 ft squared
Subtract 110 from 450: 450 - 170 = 280 ft squared.
Thus, the answer is 280 ft squared.
Hope this helps!
Answer:
the prices were $0.05 and $1.05
Step-by-step explanation:
Let 'a' and 'b' represent the costs of the two sodas. The given relations are ...
a + b = 1.10 . . . . the total cost of the sodas was $1.10
a - b = 1.00 . . . . one soda costs $1.00 more than the other one
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Adding these two equations, we get ...
2a = 2.10
a = 1.05 . . . . . divide by 2
1.05 -b = 1.00 . . . . . substitute for a in the second equation
1.05 -1.00 = b = 0.05 . . . add b-1 to both sides
The prices of the two sodas were $0.05 and $1.05.
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<em>Additional comment</em>
This is a "sum and difference" problem, in which you are given the sum and the difference of two values. As we have seen here, <em>the larger value is half the sum of the sum and difference</em>: a = (1+1.10)/2 = 1.05. If we were to subtract one equation from the other, we would find <em>the smaller value is half the difference of the sum and difference</em>: b = (1.05 -1.00)/2 = 0.05.
This result is the general solution to sum and difference problems.
