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Leya [2.2K]
3 years ago
11

Graph the function y=2 sqrt x+4 and state the transformation from the parent graph y= sqrt x

Mathematics
1 answer:
Darya [45]3 years ago
8 0

Answer:

Step-by-step explanation:

Please use parentheses so that there's no question about what constitutes the argument of the sqrt function:

y=2 sqrt x+4 → y = 2√(x + 4)

This result is obtained from y = √x by:

1) translating the graph of y = √x 4 units to the LEFT, and

2) stretching the resulting graph vertically by a factor of 2.

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If (x+yi)(1-3i)=10 <br> Then x+y=
Naily [24]

Answer:

x + y = 4

Step-by-step explanation:

Given that, (x + iy)(1 - 3i) = 10, then we have to calculate x + y.

Now, (x + iy)(1 - 3i) = 10

⇒ x(1 - 3i) + iy(1 - 3i) = 10

⇒ x - 3xi + iy - 3yi² = 10

⇒ (x + 3y) + i(y - 3x) = 10

Now, comparing the real and imaginary part of both sides we get,

(x + 3y) = 10 ............. (1) and

y - 3x = 0

⇒ y = 3x ............... (2)

Solving equations (1) and (2) we get

x + 3(3x) = 10

⇒ x = 1

So, y = 3x = 3

Therefore, x + y = 1 + 3 = 4 (Answer)

7 0
3 years ago
Use area of squares to visualize Pythagorean theorem
docker41 [41]

We know that the Pythagorean Theorem is a² + b² = c² and that the area of a square is l x w.

Firstly, we'll have to find the two measures of the triangle that correspond to the areas.

Since the figures are squares, we know that the length and width values must be the same.

We could square the numbers to find the side lengths, however we would have to square them again when substituting for the Pythagorean Theorem, so we can leave them as-is and adjust the equation accordingly.

(33) + b² = (44)

Next, we'll subtract our smaller value from our larger.

b² = (11)

Once again, we could find the square root of this number, but we'd just have to square it again to find the area of the square, so we can just simply write our answer as 11 units.

Therefore, the area of the square is 11 units!

<em>Hope this helped! :)</em>

5 0
3 years ago
RAND function: To make the value as static so that it does not change when we click anywhere in theexcel sheet, what is the best
myrzilka [38]

Answer:

To make the value as static so that it does not change when we click anywhere in theexcel sheet, the best method is to use simple paste.

7 0
3 years ago
Suppose a five minute overseas call costs $5.91 and a 10 minute call costs $10.86. What is the equation and how long can you tal
Solnce55 [7]

Answer:

Step-by-step explanation:

let x represent the number of minutes of call made.

Let y represent the cost for x minutes of call.

If we plot y on the vertical axis and x on the horizontal axis, a straight line would be formed. The slope of the straight line would be

Slope, m = (10.86 - 5.91)/(10 - 5)

m = 4.95/5 = 0.99

The equation of the straight line can be represented in the slope-intercept form, y = mx + c

Where

c = intercept

m = slope

To determine the intercept, we would substitute x = 10, y = 10.86 and m = 0.99 into y = mx + c. It becomes

10.86 = 0.99 × 10 + c = 9.9 + c

c = 10.86 - 9.9

c = 0.96

The linear function becomes

y = 0.99x + 0.96

Therefore, for $12, the number of minutes would be

12 = 0.99x + 0.96

0.99x = 12 - 0.96

0.99x = 11.04

x = 11.04/0.99

x = 11.15 minutes

8 0
3 years ago
Hollis goes outside at 2:00. He spends 48 minutes riding his bike and playing with his dog. What time is it now? Write the time
ss7ja [257]

Answer:

2:48

Step-by-step explanation:

48 minutes passed and he went outside at 2:00 im not sure what they mean by write it in 2 ways though

8 0
3 years ago
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