An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.

You need to find the value of a so solve the first equation in terms of x:

-7a + x = -1
x = -1 + 7a

then substitute the result (-1 - -7a) into the second equation:

5a - 9(-1 + 7a) = 1
5a + (-9 x -1) + (-9 x 7a) = 1
5a + 9 - 63a = 1
5a - 63a = 1 - 9
-58a = -8
a = \( \frac{-8}{-58} \)
a = \(\frac{4}{29}\)

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(4a)(7ab) - (7a²)(3b)
(4 x 7)(a x a x b) - (7 x 3)(a² x b)
(28)(a¹⁺¹ x b) - (21)(a²b)
28a²b - 21a²b
7a²b

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

c² + 9c + 14 = 0
(c + 2)(c + 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (c + 2) or (c + 7) must equal zero:

If (c + 2) = 0, c must equal -2
If (c + 7) = 0, c must equal -7

So the solution is that c = -2 or -7

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.