The vertex of the graph of y = -4(x + 3)2 + 2 is ( , )
1 answer:
Answer:
Step-by-step explanation:
This quadratic is of the form
where h and k are the coordinates of the vertex. Notice that inside the parenthesis it very specifically follows the format (<u>x -</u> h)². That means that if you have something like what we have here, ( x + 3)^2, it was originally (x - (-3))^2, and the value for h is -3. k is much simpler to determine. Our 2 at the end is a +2, so the k is 2. The vertex then is (-3, 2).
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Answer: The area of the triangle is: " 8.5 cm² " ;
or, write as: " 8
cm² " .
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Explanation:
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The formula {"equation"} for the area of a triangle is:
A = () * b * h ;
in which: A = area;
b = base;
h = [perpendicular] height;
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{also, can be written as: " A = (b * h) / 2 " .}.
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Solve for the area, "A" ; by plugging in the known values shown in the figure (image attached):
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base, "b" = 13 cm ;
[perpendicular] height, "h" = 5 cm ;
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A = (b * h) / 2 ;
= (13 cm * 5 cm) / 2 ;
= [ (13 * 5) cm²] / 2 ;
= 65 cm² / 2 ;
A = " 8.5 cm² " ; or, write as: " 8 cm² " .
_________________________________________________________
Answer: " 8.5 cm² " ; or, write as: " 8 cm² " .
_________________________________________________________
The area of the triangle is: " 8.5 cm² " ;
or, write as: " 8 cm² " .
_________________________________________________________
or, write as: " 8
_______________________________________________________
Explanation:
_________________________________________________________
The formula {"equation"} for the area of a triangle is:
A = (
in which: A = area;
b = base;
h = [perpendicular] height;
___________________________________
{also, can be written as: " A = (b * h) / 2 " .}.
______________________________________
Solve for the area, "A" ; by plugging in the known values shown in the figure (image attached):
______________________________________
base, "b" = 13 cm ;
[perpendicular] height, "h" = 5 cm ;
______________________________________
A = (b * h) / 2 ;
= (13 cm * 5 cm) / 2 ;
= [ (13 * 5) cm²] / 2 ;
= 65 cm² / 2 ;
A = " 8.5 cm² " ; or, write as: " 8
_________________________________________________________
Answer: " 8.5 cm² " ; or, write as: " 8
_________________________________________________________
The area of the triangle is: " 8.5 cm² " ;
or, write as: " 8
_________________________________________________________
Answer:
Difference between the original and current volumes = 4013140.30 cubic feet
Step-by-step explanation:
Largest pyramid has the square base with one edge = 754 feet
Area of the square base = (Side)²
= (754)²
= 568516 square feet
Volume of the pyramid =
=
= 91152065.3 cubic feet
After erosion,
Area of the base = (745)² = 555025 square feet
Volume of the pyramid =
= 87138925 cubic feet
Difference between the original and current volumes of the pyramid
= 91152065.30 - 87138925
= 4013140.30 cubic feet