Answer:
y = -1/4x + 3
Step-by-step explanation:
Because you are finding the perpendicular slope, you need to find the negative reciprocal of the original line, which would be -1/4. You then use point slope form to find the y-intercept with the slope and given point:
y - 5 = -1/4(x + 8). That equals to y = -1/4x + 3.
So the equation of this line is y = -1/4x + 3.
Answer:
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Step-by-step explanation:
The answers are that the number can equal -4 or 1.
You can find this by setting the number equal to x.
x^2 (The square of a number) + 3x (three times a number) = 4
x^2 + 3x = 4 ---> subtract 4 from each side
x^2 + 3x - 4 = 0
Then you can factor this to find the answers
(x - 4)(x + 1) = 0
Set both equal to 0 and solve.
Answer: 75+30 = 15 x 7
Step-by-step explanation:
The given expression is 75+30 (=105) which defines the sum of 75 and 30.
Prime factorization of 75 and 30 are as below:
75 = 5 x 5 x 3
30 = 5 x 3 x 2
GCD (75,30) = 5x 3 = 15 [Note: GCD = Greatest common divisor]
Consider 75+30 = (15 x 5) + (15 x 2) [75 = 15 x 5 and 30= 15 x 2]
= 15 (5+2) [taking 15 as common ]
= 15 x (7)
(=105)
So, 75+30 which is sum of the numbers and it is expressed as 15 x 7 which a product of their GCF.