You first need to isolate the y
4x+9y=-108
9y=-4x-108 (subtract 4x from both sides)
y=-4/9x-12 (divide both sides by 9)
Then, by using the y=mx+b form, we can tell that the y-intercept is -12 so A
Hope this helps
Answer:
B.
Step-by-step explanation:
Because if you look closely you will be able to tell which answer it is by looking at the way the shape formed andjust breakaprt the shape .
Answer:
Measure of arc PQR is 190°
Step-by-step explanation:
First have a sketch of the quadrilateral PQRS inside a circle
You should notice that the intercepted angle is ∠PSR
You should remember that the intercepted arc PQR is twice the intercepted angle ∠PSR
Find the intercepted angle ∠PSR
Remember that in a quadrilateral opposite angles add up to 180°
Hence;
∠PQR+∠PSR=180°
85 + ∠PSR=180°
∠PSR=180°-85°=95°
Find arc PQR
Arc PQR =2×∠PSR
Arc PQR=2×95°
=190°
Answer:
See below for answers and explanations (along with a graph)
Step-by-step explanation:
<u>Part A</u>
Set f(x)=0 and factor the expression by grouping:

Use the Zero Product Property to find the x-intercepts:


Hence, the x-intercepts for the graph of f(x) are
and
.
<u>Part B</u>
Find the x-coordinate of the vertex:

Find the y-coordinate of the vertex:

Hence, the vertex is
. We can see from the positive leading coefficient of the function that the vertex will be a minimum because the parabola will open faced-up.
<u>Part C</u>
You can use the x-intercepts and vertex to plot points of the graph of the function. Additionally, you can throw in the y-intercept in as well. The y-intercept, in this case, is
, or
as an ordered pair. See attached graph.