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Inessa05 [86]
3 years ago
11

Please help thank you very much.

Mathematics
1 answer:
Archy [21]3 years ago
8 0
Hello!

Since angle AFB is congruent to angle DFE we know that the angles that use the midpoint are also congruent

The answer is D) angle BFC is congruent to angle DFC

Hope this helps!
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Solve for X<br><br> X^2 + 43 = 572
nordsb [41]

Answer:

23

Step-by-step explanation:

x^2 + 43 = 572

x^2 = 572 - 43

x^2 = 529

( 529 = 23 x 23 = 23^2 )

x^2 = 529

x^2 = 23^2

x = 23

7 0
3 years ago
Read 2 more answers
3/4 ploted on a number line
Gwar [14]

Answer:

3/4 = 0.75

- 1 - 2 - 3 - 4

3/4 so its 321 colored

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
For the function F(x) = 2x^2-31x-51, where is the function increasing and positive? ( for all X values greater than what number
Ulleksa [173]
ANSWER
x \: > \: 17

EXPLANATION

The given function is

f(x) = 2 {x}^{2} - 31x - 51
Let us split the middle term to get,

f(x) = 2 {x}^{2} -34x + 3x- 51

We factor to obtain,

f(x) = 2x(x - 17) -+3(x - 17)

f(x) = (2x -+3)(x -17)

Let us find the zeros of f(x),

(2x +3)(x - 17) = 0

Either

2x +3 = 0 \: or \: x - 17 = 0
x = -\frac{3}{2} \: or \: x = 17

We need to find the x-value of the vertex, which is the midpoint of the x-intercepts.

This gives us,

\frac{- \frac{3}{2} + 17}{2} = 7.75
Hence the axis of symmetry of the parabola has equation,

x = 7.75

Since the given function has minimum turning point, it will decrease and then increase.

The function will be increasing for
x \: > \: 7.75

The function will be increasing and positive for
x \: > \: 17
7 0
3 years ago
Kenneth solved a certain number of problems and Harold solved 2 more than twice as many. Together they
Inessa [10]

H(arold) = 2 + 2*K(enneth)

H = 2 + 2K

H + K = 38

Substitution:

2 + 2K + K = 38

3K = 36

K = 12

Kenneth solved 12 problems and Harold solved (2(12) + 2 = 24 + 2 =) 26 problems

6 0
3 years ago
hich statement best describes the domain and range of p(x) = 6–x and q(x) = 6x? p(x) and q(x) have the same domain and the same
Sati [7]

Answer:

p(x) and q(x) have the same domain and the same range.

Step-by-step explanation:

p(x) = 6-x and

q(x) = 6x

First of all, let us have a look at the definition of domain and range.

Domain of a function y =f(x) is the set of input value i.e. the value of x for which the function f(x) is defined.

Range of a function y =f(x) is the set of output value i.e. the value of y or f(x) for the values of x in the domain.

Now, let us consider the given functions one by one:

p(x) = 6-x

Let us sketch the graph of given function.

Please find attached graph.

There are no values of x for which p(x) is not defined so domain is All real numbers.

So, domain is (-\infty, \infty) or x\in R

Its range is also All Real Numbers

So, Range is (-\infty, \infty) or x\in R

q(x) = 6x

Let us sketch the graph of given function.

Please find attached graph.

There are no values of x for which q(x) is not defined so domain is All real numbers.

So, domain is (-\infty, \infty) or x\in R

Its range is also All Real Numbers

So, Range is (-\infty, \infty) or x\in R

Hence, the correct answer is:

p(x) and q(x) have the same domain and the same range.

4 0
3 years ago
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