Answer:
The equation would be y = 5x - 15
Step-by-step explanation:
To find the equation to this line, we first have to note that parallel lines have the same slope. Since the original line has a slope of 5, we know that the new line will also have that slope. Then we can use the slope and the point in point-slope form and solve for y.
y - y1 = m(x - x1)
y - 5 = 5(x - 4)
y - 5 = 5x - 20
y = 5x - 15
Answer:
8 dollars
Step-by-step explanation:
First, convert the yards to decimals, 1/8 is equivalent to .125, therefore 1 1/8 yards is 1.125
Next, since we know that 1 1/8 yards of fabric is $9, we can divide 9 by 1.125 in order to find the cost of one yard of fabric
9/1.125=8, therefore your final answer is $8
Don't forget to put units if this is a test question (or practically in any case), the unit in this case is $(dollars)
Answer:
a. 6
b. 9
Step-by-step explanation:
a. The product modulo 7 can be found from the product of the individual numbers modulo 7:
(88·95·36·702) mod 7 = (88 mod 7)·(95 mod 7)·(36 mod 7)·(703 mod 7) mod 7
= (4·4·1·3) mod 7 = 48 mod 7 = 6
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b. Powers of 4 mod 11 repeat with period 5:
4 mod 11 = 4
4^2 mod 11 = 5
4^3 mod 11 = 9
4^4 mod 11 = 3
4^5 mod 11 = 1
So, 4^83 mod 11 = 4^3 mod 11 = 9
The value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.
According to the given question.
We have an equation
2x + 2/y = 4w + 2
Since, we have to find the value of x for the given equation
2x + 2/y = 4w + 2
Thereofore,
2x + 2/y = 4w + 2
⇒ 2(x + 1)/y = 2(2w + 1) (taking 2 common from both the sides)
⇒ (x + 1)/y = 2w + 1
⇒ (x + 1) = y(2w + 1) (multiplying both the sides by y)
⇒ x + 1 = 2yw + y
⇒ x = 2yw + y - 1 ( subtracting 1 both the sides)
Hence, the value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.
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