The. Ordered pair? Is this a function yes or no?

A convex polyhedron has (4a) faces, (6a) vertices, and (8a + 2) edges. What is the value of a?

Snowcat [4.5K]

V + F = E + 2
Plugging in the given values:-

6a + 4a = 8a + 2 + 2

10a - 8a = 4
2a = 4
a = 2

4 0

3 years ago

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Plzzzzzz helppppp meeee !!!

Anon25 [30]

Answer:

Corresponding side of AB is FE

Corresponding side of CB is DE

Corresponding side of AC is FD

$k =2$

$DE = 6$

$FD=10$

Step-by-step explanation:

Given

$\triangle ABC$ and $\triangle FED$

See attachment for triangles

Solving (a): Corresponding side of AB

Going by the names of the triangle, the corresponding sides are:

AB and FE; CB and DE; AC and FD

Hence, the corresponding side of AB is FE

Solving (b): Corresponding side of CB

This has been solved in (a) above.

The corresponding side of CB is DE

Solving (c): Corresponding side of AC

This has been solved in (a) above.

The corresponding side of AC is FD

Solving (d): Scale factor from ABC to FED

To do this, we simply divide the lengths of corresponding sides.

The scale factor k is:

$k = \frac{FE}{AB}$

$k = \frac{8}{4}$

$k =2$

Solving (e): Length of DE

We make use of the scale factor calculated in (d) above

$k = \frac{DE}{CB}$

$2 = \frac{DE}{3}$

$DE = 2 * 3\\$

$DE = 6$

Solving (f): Length of FD

Using Pythagoras:

$FD^2 = DE^2 + EF^2$

$FD^2 = 6^2 + 8^2$

$FD^2 = 100$

$FD = \sqrt{100$

$FD=10$

7 0

3 years ago

What are the roots of the equation? x^2+24=−11x Enter your answers in the boxes.

docker41 [41]

The correct answers are:

x=-3 and x=-8.

Explanation:

We can first write this in standard form, ax²+bx+c=0. To do this, we will add 11x to both sides:
x²+24+11x=-11x+11x
x²+11x+24=0.

Now we can factor this. Look for factors of c, 24, that sum to b, 11. Factors of 24 are:
1 and 24 (sum 25)
2 and 12 (sum 14)
3 and 8 (sum 11)
4 and 6 (sum 10).

The factors we need are 3 and 8, since they sum to 11. This gives us factored form:
(x+3)(x+8)=0.

Using the zero product property, we know that in order to have a product of 0, one or both of the factors must be 0. This means we have:
x+3=0 or x+8=0.

Solving the first equation:
x+3-3=0-3
x=-3.

Solving the second equation:
x+8-8=0-8
x=-8.

8 0

3 years ago

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A sinusoidal function whose period is 4π, maximum value is 6, and minimum value is -2 has a y intercept of 6. What is the equati

IRINA_888 [86]

Equation of the function: f(x) = 4 sin (x/2) + 6.

<h3>What is sinusoidal function ?</h3>

The term sinusoidal is used to describe a curve, referred to as a sine wave or a sinusoid, that exhibits smooth, periodic oscillation. It is named based on the function y=sin(x).

Given: max value= 6, min value= -2, y-intercept= 6.

As, standard form f(x) = A sin (ωx +φ) + k,

where A is the amplitude, ω is the angular velocity with ω=2πf.

Now,

A = |6- (-2)/2|

A = |6 +2/2| = 8/2

A = 4

Also, ω:

The period of a sinusoidal is T = 1/f

so, f = 1 / T

ω = 2πf

ω = 2π ( 1/T) with T = 4π

ω = 2π (1/(4π) = 2π (2)

ω = 1/2

The y-intercept k = 6

So, equation with values A =4, ω = 1/2, k = 6, φ = 0.

f(x) = A f(x)

f(x) = A sin (ωx +φ) + k

f(x) = 4 sin (x/2) + 6.

Hence, equation of the function f(x) = 4 sin (x/2) + 6.

Learn more about this concept here:

brainly.com/question/26315885

#SPJ1

4 0

2 years ago

First person with a answer is marked as the Brainliest Answer

kramer

Answer:

h(x) = x/5

Step-by-step explanation:

We want to know the value of y to satisfy the given equation. So:

$6x+y=4x+11y\\\\y-11y=4x-6x\\\\-10y=-2x\\\\10y=2x\\\\y=\dfrac{2x}{10}\\\\\boxed{y=\dfrac{x}{5}}$

Hence, since h(x) returns the value of y we found before:

$\boxed{h(x) = \dfrac{x}{5}}$

3 0

3 years ago