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2 years ago

The base of a cone can be

2 answers:

6 0

The base of a cone is something circular, like a circle or an ellipse.
The rest of the options (square, triangle, and pentagon) are all based of pyramids, not cones. Cones have to have a circular base because otherwise they'd be pyramids.

True [87]2 years ago

6 0

A circle is the answer to your question

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If 4f(x)+f(5-x)=x2<br><br> What is f(x)?

aksik [14]

We are given that $4f(x)+f(5-x)=x^2$ .

Substitute x with 5-x, then the above equation becomes:

$4f(5-x)+f(5-(5-x))=(5-x)^2$ , that is

$4f(5-x)+f(x)=(5-x)^2$

So, we have the following system of equations:

i) $4f(x)+f(5-x)=x^2$
ii) $4f(5-x)+f(x)=(5-x)^2$

multiply the first equation by -4, so that we eliminate f(5-x)'s

i) $-16f(x)-4f(5-x)=-4x^2$
ii) $4f(5-x)+f(x)=(5-x)^2$

adding the 2 equations side by side we have:

$-15f(x)=-4x^2+(5-x)^2$

expanding the binomial, and collecting same terms we have:

$-15f(x)=-4x^2+(25-10x+x^2)$

$-15f(x)=-3x^2-10x+25$

dividing by -5:

$3f(x)=\frac{3}{5}x^2+2x-5$

dividing by 3:

$\displaystyle{f(x)= \frac{1}{5}x^2+ \frac{2}{3}x-\frac{5}{3}$

Answer: $\displaystyle{f(x)= \frac{1}{5}x^2+ \frac{2}{3}x-\frac{5}{3}$

6 0

3 years ago

find the range of the function f(x) = 4x - 1 for the domain {-1, 0, 1, 2, 3} a) {-5, -3, 0, 7, 11} b) {-5, -4, -3, -2, -1} c) {-

Stella [2.4K]

The answer to the selected problem is c

3 0

2 years ago

A sphere is not a polyhedron true or false?

lesya [120]

it is false because a sphere is basically a three- dimensional circle. It is a polyhedron.

7 0

2 years ago

Help please!!!! ASAP WILL MARK BRAINLIST IF REALLY FAST

Setler79 [48]

Answer:

1. Product

2. Difference

3. Difference

Step-by-step explanation:

7 0

2 years ago

What is the first step when rewriting y=6x^2+18x+14 in the form y=a(x-h)^2+k?

Grace [21]

<h3>Answer:</h3>

Factor 6 from the first two terms.

<h3>Step-by-step explanation:</h3>

By factoring out "a", you can better see what "h" needs to be.

y = 6(x^2 +3x) +14 . . . . 6 factored from first 2 terms
add the square of half the x-coefficient inside parentheses; add the opposite outside: y = 6(x^2 +3x +2.25) +14 -6(2.25)
rewrite as a square; combine the constants: y = 6(x+1.5)^2 +0.5

7 0

2 years ago