Answer:

Step-by-step explanation:
The equation can be written using information from the graph. The vertex of the parabola is (-3,-1). Use the vertex form
by substituting h = -3 and k = -1. The equation becomes
. It simplifies to
. To find a, substitute the point (x,y) on the graph into the equation and solve for a. Substitute x = -2 and y = 0.




So the equation is
. Convert to standard form by distributing the parenthesis and combining like terms.

For this case we have the following complex fraction:

Using the double C method, we can rewrite the given fraction.
We have then:

Then, we must factor the quadratic expression into the denominator.
We have then:

Finally, we cancel similar terms.
We have then:
Answer:
the complex fraction simplified is:
B) y-1/(y-6)(y-2)
Answer:
(x - 56) / 9
Step-by-step
We represent the original number of cans of soup by the variable x. After 56 cans of soup were sold, the remaining number of cans of soup is x - 56. Since we have shelves that can hold 9 cans, the number of shelves needed to fit all the remaining cans is
Answer:
190 is the answer of the equation.
Step-by-step explanation:
a(b + c) × 2
Now putting the values of a,b and c.
5(7+12)×2
= 5(19)×2
= 95×2
= 190
Answer:
The arc measure, x, that the satellite can see is 160°
Step-by-step explanation:
Given that the two tangents intersect at a point outside the with circle center O
The angle formed between between the two tangent = 20°
The first arc formed is measured as x°, which is the arc opposite the point where the two tangents meet = The arc the satellite can see
The angle x is given by the relationship;
x = 2 × (90 - v/2)
Where;
v = The angle formed at the point where the two tangent meet = 20°
Therefore;
x = 2 × (90 - 20/2) = 2 × (90 - 10) = 2 × 80 = 160°
The arc measure, x, that the satellite can see = 160°.