Answer:
The equation of this line would be 4x + y = 13
Step-by-step explanation:
In order to find this equation we must first find the slope of the original line. To do this, we solve the original equation for y.
4x + y - 2 = 0
4x + y = 2
y = -4x + 2
The original slope (the coefficient of x) is -4, which means the new slope will also be -4 because parallel lines have the same slope. Now, we can use this slope along with the point in point-slope form to find the equation of the line. Just plug in the numbers and solve for the coefficient.
y - y1 = m(x - x1)
y + 3 = -4(x - 4)
y + 3 = -4x + 16
4x + y + 3 = 16
4x + y = 13
Answer:
Below in bold.
Step-by-step explanation:
In each case you divide top and bottom by the GCF.
A. The GCF of 45 and 56 is 1.
so the answer is 45/56.
B. 15/16 (GCF = 1)
C. Here the GCF is 5 so the answer is (35/5) / (80/5)
= 7/16.
D. 5/6 (GCF is 4).
Answer:
a. 7 by 21
b. a(-12, 2), b(-12, -5), c(9, -5)
Step-by-step explanation:
AD is 3 times the length of AB. X can be the length of AB. Then 3x would be the length of AD. The perimeter is 56, which would also be 3x + x + 3x + x which is 8x. This gives us 8x = 56, meaning that x is 7, or the length of AB is 7. Because AD is 3 times the length of AB (which is 7), AD = 21. Therefore, the dimensions of the rectangle ABCD is 7 by 21.
Coordinates of A have to be 21 units away from D since AD = 21. It goes in the left direction, meaning that 21 is subtracted from 9 (since this is a horizontal edge involving x coordinates) while the y value remains the same. The result is (-12, 2). For coordinate B, it has to be 7 units away from A downwards since AB = 7. This means that you subtract 7 from 2 (involving only the y coordinates), resulting in (-12, -5). For coordinate C, it has to be 21 units from B since BC = AD = 21. Because C is right compared to B, you have to add 21 to -12 (involving only the x coordinate) resulting in (9, -5).
286 is the sum of the series below. You can plug this in or use long addition.
Either that or you make an average and that's your answer.
The initial value of the Greg`s home: $328,500. If his home is predicted to increase in value 4% each year, that means that the value will rise 1.04 times every year.
The predicted value after 30 years:
$328,500 * ( 1 + 0.04 ) ^30 =
= $328,500 * 1.04^30 =
= $328,500 * 3.2434 =
= $1,065,456.
Answer: The predicted value of his home in 30 years is $1,065,456.