B. Translated 10 units to the right, and 10 units down
Answer:
x = -3/4
Step-by-step explanation:
Simplify the equation.
5x - 3(3x + 7) = y
5x - 3*3x + 7 *(-3) = y {Distributive rule}
5x - 9x - 21 = y
Combine like terms
-4x - 21 = y
Now, substitute the value of y = -18
-4x - 21 = -18
Add 21 to both sides
-4x = -18 + 21
-4x = 3
Divide both sides by -4
x = -3/4
A) Parallel lines have the same slope. 5 and 1/5 are not equal, so they are not parallel.
b) Perpendicular lines have negative reciprocal slopes. That means when you multiply the slopes together, you get -1. Let's try our slopes. 5 * 1/5 = 1, not -1, so these slopes are not negative reciprocals, and the lines are not perpendicular.
c) A vertical line has undefined slope since the slope of a vertical line involves division by zero. Here, the two lines have well defined slopes. The lines are not vertical.
d) This is the only choice left, so it is the answer.
Answer:
slope = (4-(-3))/(-3-2)=7/-5=-![\frac{7}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B5%7D)
Step-by-step explanation:
Answer:
x =
, or x=2.21327 and -0.81327
Step-by-step explanation:
![-5x^2+7x+9 = 0](https://tex.z-dn.net/?f=-5x%5E2%2B7x%2B9%20%3D%200)
see if equation is factor-able:
![\left[\begin{array}{ccc}?&9\\-5x^2&?\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%3F%269%5C%5C-5x%5E2%26%3F%5C%5C%5Cend%7Barray%7D%5Cright%5D)
the two ? must multiply together to
and add up to 7x
no two integers times x can solve, so we must use quadratic equation
, given a quadratic
so
![x = \frac{-7 \frac{+}{} \sqrt{49+180} }{-10} = \frac{-7 \frac{+}{} \sqrt{229} }{-10}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-7%20%5Cfrac%7B%2B%7D%7B%7D%20%5Csqrt%7B49%2B180%7D%20%7D%7B-10%7D%20%3D%20%5Cfrac%7B-7%20%5Cfrac%7B%2B%7D%7B%7D%20%5Csqrt%7B229%7D%20%7D%7B-10%7D)