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3 years ago

The triangle shown below has an area of 181818 units^2 2 squared. khan academy

Mathematics

2 answers:

const2013 [10]3 years ago

6 0

Answer:

Step-by-step explanation:

lesantik [10]3 years ago

4 0

Answer:

Its 6

Step-by-step explanation:

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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 difference: 2(x-2) - 3(x-4)

cluponka [151]

Answer:

brainliest plzzzzz

Step-by-step explanation:

2(x-2) - 3(x-4)

Simplify:

2(x-2)-3(x-4)

2x-4-3(x-4)

Distribute:

2x-4-3(x-4)

2x-4-3x+12

Add the numbers:

2x-4-3x+12

2x+8-3x

Combine like terms:

2x+8-3x

-x+8

Hence Solution = -x+8

4 0

3 years ago

The claim is that the white blood cell counts of adult females are normally distributed, with a standard deviation equal to 1.6

loris [4]

The population standard deviation, σ = 1.68, the sample standard deviation, s = 1.95, the sample mean =7.23, and the sample size, n = 39.The test statistics is given by
T=(n - 1) (s / σ)²
= (39 - 1) (1.95 / 1.68)²
= 38 (1.35)= 51.196

3 0

3 years ago

A section of wall is being framed. A model of the framing work is shown below.

Ainat [17]

Answer:

a. They are same side interior angles. Angle A measures 55°.

Step-by-step explanation:

3 0

3 years ago

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Two dice are rolled at the same time. How many possible outcomes are there that match the event "the sum of the two scores is mo

olya-2409 [2.1K]

I believe it would be A.9

8 0

3 years ago

Read 2 more answers