The general form of a linear equation is
y = mx + b
where m = slope and b = y-intercept
Here m = 2/7
To get to its perpendicular equation, first the slope should be negative reciprocal. So the perpendicular slope is m = -7/2
Given the point (-2,3), use the point-slope form equation, that is
y - y1 = m(x - x1)
Plug in
y - 3 = (-7/2)[x - (-2)]
y - 3 = (-7/2)x - 7
y = (-7/2)x - 7 + 3
y = (-7/2)x - 4
That is the equation required.
118 + 23 = 141
180 = Triangle
180 - 141 = 39
39 is the answer
To solve this question, we can start to set up an equation using what the question is telling us. Since we don't know what the number is, let's make it equal to x.
The phrase "5 times a number" means that we're multiplying our unknown, x, by 5. That is equal to 5x. 9 less than that would be 5x - 9. Since we know that it's equal to -30, we can solve.
5x - 9 = -30
Get all terms with x on one side and the constants on the other
5x - 9 +9 = -30 + 9
Simplify
5x = -21
Now, we can divide both sides by 5 to get our answer of x = -
Answer:
6.9
Explanation:
6 4/5 = 6.8 so 1 decimal point higher than that is 6.9 which is still smaller than 7
Answer:
D
Step-by-step explanation:
We know it has 2 distinct zeros. This means the discriminant of the quadratic is positive and must have 2 real zeros that can be rational or irrational. We also know the quadratic has rational coefficients which means both are either rational or irrational. They can not be one of either. Since it tells us one is rational, the other must be too.
