Identify the vertex of y = -1 (x-4)^2 +9 and tell whether it’s a minimum or maximumplease and thanks!
Answers
Answer:
maximum at (4, 9)
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = - 1(x - 4)² + 9 is in this form
with vertex = (4, 9)
• If a > 1 then vertex is a minimum
• If a < 0 then vertex is a maximum
here a = - 1 , hence vertex (4, 9) is a maximum
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2x+y=-7yY=x+10Solve the system of equations below
Answers
Answer:
60 degrees
Step-by-step explanation:
These two shapes are similar, which means that their corresponding angles are congruent.
Angle L corresponds to angle X. We know that <L = 60, which means that <X is also equal to 60.
Thus, the answer is 60 degrees.
Hope this helps!
Answer:
60°
Step-by-step explanation:
The two figures are similar and they have the same distribution of angles.
Angle X corresponds to Angle L = 60°
Answers
legnth times width=area of base
so
volume=area of base times height for a prism
area of base=160
height=32
volume=160 times 32
volume=5120
volume is 5120 cubic centimeters or
5120 cm^3
Answers
Answers
Answer:
option D
Step-by-step explanation:
In the given graph 4 lines have been used.
(1) First one is x = 0
(2) second is y = 0
(3) Third line is y = -x + y
(4) Fourth line is y = x + 2
Now we have to tell the inequalities which form the colored area.
(1) y axis is a solid line with colored area on the right side so y ≥ 0 is the inequality.
(2) x axis is a solid line with colored area upwards so x ≥ 0 is the second inequality.
(3) Colored area is below the solid line y = -x + y so inequality will be y ≤ ( -x +4 ).
(4) Colored area is below the dotted line y = x + 2 so the inequality representing the colored area will be y< x + 2
System of inequalities will be x ≥ 0, y ≥ 0, y < x + 2 and y ≤ (-x + 4)
Therefore, option D is the answer.
Answer: D
Step-by-step explanation:
Answers
5*1=5
6*3=18
5/18 is the answer