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Vlad1618 [11]
3 years ago
11

Find the cubic equation that has -1 and 2i as roots

Mathematics
1 answer:
ryzh [129]3 years ago
6 0
The cuic equation is -1 and 2i
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What is the value of (2/3)^-4?
kvv77 [185]

Answer:

16/81

Step-by-step explanation:

(2/3)^{-4}

=> 2^{-4} /3^{-4}

=> -16/-81

=> 16/81

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

7 0
3 years ago
Select the matrix that represents the vector.​
Liula [17]
<h3>Answer:  Choice D</h3>

Explanation:

Start at the arrow tip. Move vertically until reaching the x axis. You'll arrive at x = 7 which is the x component of the vector.

Go back to the arrow tip. This time move horizontally until reaching the y axis, so you should arrive at y = -6

Therefore the vector is \begin{bmatrix}7\\-6\end{bmatrix} which is in a column vector format. A row vector would have the numbers listed horizontally.

Put another way, the arrow tip is at the point location of (7,-6). This leads directly to the column vector mentioned in the previous paragraph.

5 0
2 years ago
Linear model function
sveticcg [70]

Using equations of linear model function, the number of hours Jeremy wants to skate is calculated as 3.

<h3>How to Write the Equation of a Linear Model Function?</h3>

The equation that can represent a linear model function is, y = mx + b, where m is the unit rate and b is the initial value.

Equation for Rink A:

Unit rate (m) = (35 - 19)/(5 - 1) = 16/4 = 4

Substitute (x, y) = (1, 19) and m = 4 into y = mx + b to find b:

19 = 4(1) + b

19 - 4 = b

b = 15

Substitute m = 4 and b = 15 into y = mx + b:

y = 4x + 15 [equation for Rink A]

Equation for Rink B:

Unit rate (m) = (39 - 15)/(5 - 1) = 24/4 = 6

Substitute (x, y) = (1, 15) and m = 6 into y = mx + b to find b:

15 = 6(1) + b

15 - 6 = b

b = 9

Substitute m = 6 and b = 9 into y = mx + b:

y = 6x + 9 [equation for Rink B]

To find how many hours (x) both would cost the same (y), make both equation equal to each other

4x + 15 = 6x + 9

4x - 6x = -15 + 9

-2x = -6

x = 3

The hours Jeremy wants to skate is 3.

Learn more about linear model function on:

brainly.com/question/15602982

#SPJ1

5 0
2 years ago
Help plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Diano4ka-milaya [45]

Answer:

uhhhh

Step-by-step explanation:

uhhhh

3 0
3 years ago
Two ladders are leaning against a building, forming two similar triangles as shown below. The top of the longer ladder is 28 fee
postnew [5]

Answer:

The length of the longer ladder is 35 ft

Step-by-step explanation:

Please check the attachment for a diagrammatic representation of the problem

We want to calculate the length of the longer ladder ;

We make reference to the diagram

Since the two right triangles formed are similar. the ratios of their sides are equal;

Thus;

20/15 = 28/x + 15

20(x + 15) = 15(28)

20x + 300 = 420

20x = 420-300

20x = 120

x = 120/20

x = 6

So we want to calculate the hypotenuse of a right triangle with other sides 28ft and 21 ft

To do this, we use the Pythagoras’ theorem which states that square of the hypotenuse equals the sum of the squares of the two other sides

Let the hypotenuse be marked x

x^2 = 28^2 + 21^2

x^2 = 1,225

x = √1225

x = 35 ft

7 0
2 years ago
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