Answer:
Step-by-step explanation:
pyramid has a height of 5 inches and a volume of 60 cubic inches. Select all figures that could be the base for this pyramid.
A:
a square with side length 6 inches
B:
a 3 inch by 4 inch rectangle
C:
a 4 inch by 9 inch rectangle
D:
a circle with radius 4 inches
E:
a right triangle with one side 5 inches and the hypotenuse 13 inches
F:
a hexagon with an area of 36 square inches
Answer:
TRUE
Step-by-step explanation:
A quadratic equation can be found that will go through any three distinct points that ...
- satisfy the requirements for a function
- are not on the same line
_____
The key word here is "may." You will not be able to find a quadratic intersecting the three points if they do not meet both requirements above.
A quadratic equation has the general form
of: <span>
y=ax² + bx + c
It can be converted to the vertex form in order
to determine the vertex of the parabola. It has the standard form of:
y = a(x+h)² - k
This can be done by completing a square. The steps are as follows:
</span><span>y = 3x2 + 9x – 18
</span>y = 3(x2 <span>+ 3x) – 18
</span>y + 27/4= 3(x2 <span>+ 3x+ 9/4) – 18
</span>y = 3(x2 + 3/2)^2 – 99<span>/4
</span>
Therefore, the first step is to group terms with the variable x and factoring out the coefficient of x^2.
<span>The <u>correct answer</u> is:
B) 3log</span>₅<span>(x-4).
Explanation<span>:
To stretch a function by a factor of 3, we multiply the function by 3. This eliminates A and D.
To translate a function 4 units right, we add -4 to the variable before anything else is applied to it; this eliminates C.
In choice B, the log function is multiplied by 3, which gives us our vertical stretch; and the x is subtracted by 4 before anything else is applied to it, so it is translated 4 units right.</span></span>