Answer:
y = - 2x + 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 2 , then
y = - 2x + c ← is the partial equation
To find c substitute (4, 5) into the partial equation
5 = - 8 + c ⇒ c = 5 + 8 = 13
y = - 2x + 13 ← equation of line
Answer:
A) y>=-1
Step-by-step explanation:
The line itself is y=-1, but it is also filled in. Therefore, we are down to either A or C as the right answer
Since (0,0) is a solution to the inequality as indicated by the shade, we know that since y=0 in the origin, 0 is greater than -1, so therefore A is the correct answer.
Answer:
x = 6, 9
Step 1:
To solve this equation, we need to subtract 3 from both sides like this:

Step 2:
We square both sides (multiply using FOIL) to get rid of the radical.

If you did not understand how these were done, here is an example:
(x + 1)(x + 2)
First terms: x * x = <u><em>x^2</em></u>
Outer terms: x * 2 = 2x
Inner terms: 1 * x = x
2x - x = <u><em>x</em></u>
Last terms: 1 * 2 =<em> </em><u><em>2</em></u>
x^2 + x + 2
Step 3:
Solve for x:
9x - 45 = x^2 - 6x + 9
x^2 - 6x + 9 (+45) = 9x - 45 (+45)
x^2 - 6x + 54 (-9x) = 9x (-9x)
x^2 - 15x + 54 = 0
Factor:
(x^2 - 6x) + (- 9x + 54)
x(x - 6) - 9(x - 6)
Factor out (x - 6):
(x - 6)(x - 9) = 0
x - 6 = 0; 6 - 6 = 0
x - 9 = 0; 9 - 9 = 0
Our anwer: x = 6, 9
Subtract 5 from both sides.
r+5−5>12−5
r>7
Answer : r>7
Simplify both sides of the inequality.
1/9r<10
Multiply both sides by 9.
9*(1/9r)<(9)*(10)
r<90
Answer : r < 90
Answer:
BRUH
Step-by-step explanation: