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Arte-miy333 [17]
2 years ago
11

Find all the missing measurement​

Mathematics
1 answer:
Marat540 [252]2 years ago
5 0

Answer:

m = 28

Step-by-step explanation:

The two triangles are similar, therefore we can make proportions

36/24 = 42/m

m = 42(24)/36 = 28

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Which statements are true about the graph of the function f(x) = x2 – 8x + 5? Check all that apply.
statuscvo [17]

Answer:

A, D, E are true

Step-by-step explanation:

You have to complete the square to prove A.  Do this by first setting the function equal to 0, then moving the 5 to the other side.

x^2-8x=-5

Now we can complete the square.  Take half the linear term, square it, and add it to both sides.  Our linear term is 8 (from the -8x).  Half of 8 is 4, and 4 squared is 16.  So we add 16 to both sides.

(x^2-8x+16)=-5+16

We will do the addition on the right, no big deal.  On the left, however, what we have done in the process of completing the square is to create a perfect square binomial, which gives us the h coordinate of the vertex.  We will rewrite with that perfect square on the left and the addition done on the right,

(x-4)^2=11

Now we will move the 11 back over, which gives us the k coordinate of the vertex.

(x-4)^2-11=y

From this you can see that A is correct.

Also we can see that the vertex of this parabola is (4, -11), which is why B is NOT correct.

The axis of symmetry is also found in the h value.  This is, by definition, a positive x-squared parabola (opens upwards), so its axis of symmetry will be an "x = " equation.  In the case of this type of parabola, that "x = " will always be equal to the h value.  So the axis of symmetry is

x = 4, which is why C is NOT correct, either.

We can find the y-intercept of the function by going back to the standard form of the parabola (NOT the vertex form we found by completing the square) and sub in a 0 for x.  When we do that, and then solve for y, we find that when x = 0, y = 5.  So the y-intercept is (0, 5).

From this you can see that D is also correct.

To determine if the parabola has real solutions (meaning it will go through the x-axis twice), you can plug it into the quadratic formula to find these values of x.  I just plugged the formula into my graphing calculator and graphed it to see that it did, indeed, go through the x-axis twice.  Just so you know, the values of x where the function go through are (.6833752, 0) and (7.3166248, 0).  That's why you need the quadratic formula to find these values.

7 0
3 years ago
This figure is the net
Afina-wow [57]
I wanna say B but i don’t remember i had that question before though
4 0
3 years ago
Read 2 more answers
Help me with this please
qwelly [4]
The fraction is written as 3/4.
If you divide 3 by 4 you will get the decimal.


8 0
2 years ago
I need the answers to the following questions
Oliga [24]
At death means x= 0, so on the graph you can see that (0, 500), so 500 carbon atoms are present at death.

Plug 11,240 in for t in the equation, and you are left with N(t) = 500(1/2)^2 = 125 carbon atoms.

See the graph point (25,000, 24.298)? That means that after 25,000 years 24.298 carbon atoms will be present. So the answer is 25,000 years.
4 0
2 years ago
Give two ways to write each alegebric expression in words m-9​
dusya [7]

Answer:

m-9

-9+m

Step-by-step explanation:

m-9

The one way is the way it is given in the problem m minus nine

However it can also be written by interchanging the position of each term , but while interchanging we have to carry their sign along with them also.

Hence m can be taken on the left but with its + sign

and 9 can be taken in the right but with its sign that is -

Hence

m-9 can also be written as

-9+m

4 0
2 years ago
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