MATHEMATICS HIGH SCHOOL

Which of the following is equivalent to √-50a) 5√2
b) 5i√2
c) 5√2i
d) -5√2

Answers

Answer 1

Answer:

$√(-50)=√(-1\cdot50)=√(-1)\cdot√(50)=i√(25\cdot2)=i√(25)√(2)=\boxed{5i√(2)}$

Answer b)

Answer 2

Answer: Option (D) is the answer
-5 root2

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Answers

Answer:

343.97

Step-by-step explanation:

The first one is 343.97. You times 324.5 with 6% also known as 0.006 which is 19.47.

Add 19.47 to 324.5 and you get 343.97

Suppose you need to minimize the cost of fencing in a rectangular region with a total area of 450 square feet. The material that will be used for three sides costs $15 per linear foot, and the material that will be used for the fourth side costs $18 per linear foot. Write a function that expresses the cost of fencing the region in terms of the length, x, of the two opposite sides of the region with material costs of $15 per linear foot.

Answers

Answer:

30*x + 14850/x

Step-by-step explanation:

Let x be the length of the two opposite sides of the region with material costs of $15 per linear foot.

Let y be the length of the other two sides

Now, we have the following equations

Area of the rectangular región = x * y = 450 ft2

Total cost of fencing = 15*x + 15*x + 15 *y + 18*y

Total cost of fencing = 30*x + 33 *y

We now that area is equal to 450 ft2 = x*y

So y = 450/x

Now we can substitute y in equation for Total cost of fencing and obtain a function that expresses the cost of fencing the region in terms of the length, x

Total cost of fencing = 30*x + 33 *(450/x)

Total cost of fencing = 30*x + 14850/x

What is the square root of 16

Answers

Answer:

the square root of 16 is 4

Step-by-step explanation:

Devon wants to write an equation for a line that passes through 2 of the data points he has collected. The points are (8, 5) and (–12, –9). He writes the equation 7x – 10y = 3. Is this a good model? Explain your reasoning.

Answers

For this case we have the following equation:
$7x - 10y = 3$
From here, we must substitute ordered pairs of the form:
(x, y)
If the ordered pair satisfies the equation, then it belongs to the line.
We have then:

For (8, 5):
We substitute the following values:
$x = 8 y = 5 7 (8) - 10 (5) = 3 56 - 50 = 3 6 = 3$
We observe that the equation is not satisfied and therefore, this point does not belong to the line.
Since one of the points does not belong to the line, then the equation is not a good model.

Answer:
It is not a good model. One of the points does not belong to the line.

Find the x intercept and y intercept for the graph of 2x-3y=6

Answers

xintercept is where the line crosses the x axis or where y=0
yintercept is where the line crosses the y axis or where x=0

2x-3y=6

xint
y=0
2x=6
x=3
xint is x=3 or (3,0)

yint
x=0
-3y=6
divide by -3
y=-2
yint is y=-2 or (0,-2)

xint is (3,0) or at x=3
yint is (0,-2) or at y=-2

2x - 3y = 6
-3y = 6 - 2x
y = -2 + 2/3x

39 out of 40 as a percent