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3 years ago

A median is perpendicular to the opposite side of a triangle. True or false ?

Mathematics

2 answers:

kotykmax [81]3 years ago

5 0

Median IS perpendicular. True

Alexeev081 [22]3 years ago

3 0

I think its true becouse i haded this same problem last year

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In Exercises 45–48, let f(x) = (x - 2)2 + 1. Match the function with its graph

MA_775_DIABLO [31]

Answer:

45) The function corresponds to graph A

46) The function corresponds to graph C

47) The function corresponds to graph B

48) The function corresponds to graph D

Step-by-step explanation:

We know that the function f(x) is:

$f(x)=(x-2)^{2}+1$

45)

The function g(x) is given by:

$g(x)=f(x-1)$

using f(x) we can find f(x-1)

$g(x)=((x-1)-2)^{2}+1=(x-3)^{2}+1$

If we take the derivative and equal to zero we will find the minimum value of the parabolla (x,y) and then find the correct graph.

$g(x)'=2(x-3)$

$2(x-3)=0$

$x=3$

Puting it on g(x) we will get y value.

$y=g(3)=(3-3)^{2}+1$

$y=g(3)=1$

Then, the minimum point of this function is (3,1) and it corresponds to (A)

46)

Let's use the same method here.

$g(x)=f(x+2)$

$g(x)=((x+2)-2)^{2}+1$

$g(x)=(x)^{2}+1$

Let's find the first derivative and equal to zero to find x and y minimum value.

$g'(x)=2x$

$0=2x$

$x=0$

Evaluatinf g(x) at this value of x we have:

$g(0)=(x)^{2}+1$

$g(0)=1$

Then, the minimum point of this function is (0,1) and it corresponds to (C)

47)

Let's use the same method here.

$g(x)=f(x)+2$

$g(x)=(x-2)^{2}+1+2$

$g(x)=(x-2)^{2}+3$

Let's find the first derivative and equal to zero to find x and y minimum value.

$g'(x)=2(x-2)$

$0=2(x-2)$

$x=2$

Evaluatinf g(x) at this value of x we have:

$g(2)=(2-2)^{2}+3$

$g(2)=3$

Then, the minimum point of this function is (2,3) and it corresponds to (B)

48)

Let's use the same method here.

$g(x)=f(x)-3$

$g(x)=(x-2)^{2}+1-3$

$g(x)=(x-2)^{2}-2$

Let's find the first derivative and equal to zero to find x and y minimum value.

$g'(x)=2(x-2)$

$0=2(x-2)$

$x=2$

Evaluatinf g(x) at this value of x we have:

$g(2)=(2-2)^{2}-2$

$g(2)=-2$

Then, the minimum point of this function is (2,-2) and it corresponds to (D)

I hope it helps you!

8 0

3 years ago

Find the slope of the line (brainlist whoever gets it right first and extra points on this question)

nekit [7.7K]

Answer:

y = -3x

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Use a TENS fact to subtract 13 take away 5

podryga [215]

13 - 5 8 hic fhfgghgggfdfr

5 0

3 years ago

Find the total time.

Ad libitum [116K]

Answer:

A and D

Step-by-step explanation:

53 + 37 + 44 with the time standard being minutes

Find total time

___________________________________________

We have units of time and need to add them together, let's do as such.

53 + 37 + 44

134 minutes.

Let's try simplifying it into minutes to find how much we have :

134/60

2 hours and 14 minutes

Therefore A and D are correct.

3 0

2 years ago

Read 2 more answers

Find the volume of the cylinder

goblinko [34]

Answer: 769.3ft³

Step-by-step explanation:

V = $\pi$ r²h

V = (3.14)(7)²(5)

V = 769.3ft³

5 0

3 years ago