Answer:
Step-by-step explanation:
we have

This is the equation of a vertical parabola open downward
The vertex represent a maximum
Convert the quadratic equation into vertex form
step 1
Factor -2

step 2
Complete the square


step 3
Rewrite as perfect squares
----> equation in vertex form
The vertex is the point (1,5)
The expression
can be used to find the coordinate of Point B. Option C is correct.
Given that,
Segment AB has point A located at (6, 5). If the distance from A to B is 5 units, which of the following could be used to calculate the coordinates for point B is to be determined.
<h3>What is the equation?</h3>
The equation is the relationship between variables and represented as y = ax +c is an example of a polynomial equation.
Let the coordinates of B be (x, y)
Now the distance between A (6, 5) and B (x, y) is c = 5 units
So, by the distance formula, the distance between two points is given as,

now put the value in the formula.

Thus, expression
can be used to find the coordinate of Point B. Option C is correct.
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Answer:
41
Step-by-step explanation:
Jus replace x with 3 and put it in a calculator.
Answer:
7x + 7
Step-by-step explanation:
2x + 5x = 7x
5 +2 = 7
Answer:3
b
−
2
c−
d
,
t
o
3
,
3
+
3d
−
3
b
Step-by-step explanation:
(
b
−
c
)
⋅
3
+
(
c
-d
) raise t
o 3
3
+
(
d
−
b
)
⋅
3
Write the problem as a mathematical expression.
(
b
−
c
)
⋅
3
+(
c
−
d
) raise t
o3
3+
(
d
−
b)
⋅
3
Remove parentheses.
(
b
−
c)
⋅
3
+
c
−
d
,
t
o
3
,
3
+
(
d
−
b
)
⋅
3
Simplify each term.
Apply the distributive property.
b
⋅
3
−
c
⋅
3
+
c−
d
Move 3 to the left of b
.
3
⋅
b
−
c
⋅
3
+
c
−
d
Multiply 3 by −
1 ⋅
3
b
−
3
c
+
c
−
d
Add −
3
c and c.
3
b
−
2
c
−
d
,
t
o
3
,
3
+
(
d
−
b
)
⋅
3
Simplify each term.
Apply the distributive property.
3
+
d ⋅
3
−
b ⋅
3
Move 3 to the left of d
.
3
+
3
⋅
d
−
b
⋅
3
Multiply 3 by −
1
.
3
+
3
d
−
3
b