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erik [133]
2 years ago
10

Find the modulus of |-10+24i|

Mathematics
1 answer:
gayaneshka [121]2 years ago
8 0

Answer:

Your answer: 676

Step-by-step explanation:

| - 10 +24i|  =  \sqrt{ { (- 10})^{2}  +  24^{2}  }  =  \sqrt{100 + 576}  =  \sqrt{676}  = 26

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Below is the graph of y= x.<br> Translate it to make it the graph of y=<br> x-1 + 4.
Oduvanchick [21]
  • First, to shift the graph of y=x 1 unit to the right, so y=x-1
  • Second, to shift the graph of y=x-1 4 units to the left, so y=x-1+4

<h2>Explanation:</h2>

To translate the graph of a function is part of Rigid Transformations because the basic shape of the graph is unchanged

Let \ c \ be \ a \ positive \ real \ number. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:

\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c

\bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)

In this case, we have the graph of:

y=x

And we need to translate it to make it the graph of:

y=x-1+4

According to our rules we need:

  • First, to shift the graph of y=x 1 unit to the right, so y=x-1
  • Second, to shift the graph of y=x-1 4 units to the left, so y=x-1+4

But y=x-1+4 is the same as y=x+3, so the previous steps can be simplified as:

  • Shifting the graph of y=x 3 unit to the left.

Below are shown those graphs:

  • The blue one is y=x
  • The red one is y=x-1+4

<h2>Learn more:</h2>

Shifting graphs: brainly.com/question/10010217

#LearnWithBrainly

6 0
3 years ago
What is 8 7/9 − 3 2/3 =
maks197457 [2]

[|] Answer [|]

\boxed{5 \ 1/9}

[|] Explanation [|]

Rewrite the equation with parts separated:

8 + 7/9 - 3 - 2/3

Solve the whole number parts:

8 - 3 = 5

Solve the fraction parts:

7/9 - 2/3

Find LCD of 7/9 & 2/3

7/9 - 6/9 = 1/9

5 + 1/9 = 5 1/9

\boxed{[|] \ Eclipsed \ [|]}

4 0
3 years ago
2 x -1^2 + 1<br><br> please show me how to get to the answer of 1
OLga [1]

Answer:

-1

Step-by-step explanation:

2 × (-1²) + 1 = 2 × (-1) + 1 = -2 + 1 = -1

7 0
2 years ago
Read 2 more answers
Solve for X pleas help
nydimaria [60]

Answer:

10.5 I think

Step-by-step explanation:

(1/2) *12 is 6

(1/2)*21 is 10.5

3 0
2 years ago
I need help to get good grade
8090 [49]

Answer:

The scale factor is now 3

Step-by-step explanation:

6/2=3

12/4=3

The smaller square was increased by the scale factor of 3

5 0
3 years ago
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