Answer:
B; (2,-4)
Step-by-step explanation:
The general equation of a straight line is;
y = mx + b
where m is the slope and b is the y-intercept
So from the question, when we look at the given equation, its slope is -1/2
mathematically, when two lines are perpendicular, the product of their slopes is -1
thus;
m1 * m2 = -1
m2 * -1/2 = -1
-m2 = -2
m2 = 2
The general equation form is;
y-y1 = m(x-x1)
where (x1,y1) = (4,0)
y-0 = 2(x-4)
y = 2x - 8
So, now we look at the point that will work for this equation
For the line that will work, if we substitute its x-value, we get the y-value
Let us take a look at option B
y = 2(2) -8 = 4-8 = -4
we can see that (2,-4) works
286 ÷ 5 1/2 hours = 286 ÷ 5.5 = 52 final answer
Answer:
Step-by-step explanation:
Prime factorization: 43 is prime. The exponent of prime number 43 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 43 has exactly 2 factors.
Most of the information's are already given in the question. It is important to understand the language of the problem for solving the problem. Once the language is understood, then solving the problem is easy.
Let us assume the number of black jelly beans = x
Number of yellow jelly beans = y
Then from the question we can get to a equation.
3x - 7 = y
We also know from the question that
x + y = 225
x + 3x -7 = 225
4x = 225 + 7
4x = 232
x = 232/4
= 58
So Cassidy has 58 black jelly beans out of the total of 225 jelly beans
Answer:
|x-3|+4 = 12
|x-3| = 12-4
|x-3| = 8
now solve for both positive and negative values
x - 3 = 8 | x - 3 = -8
x = 8 + 3 | x = - 8 + 3
x = 11 | x = -5
solution set : { 11, -5 }
Step-by-step explanation: