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solniwko [45]
3 years ago
5

Using the grid below, let's plot the following points and label them with the letter.

Mathematics
1 answer:
Allisa [31]3 years ago
4 0

Answer:

Step-by-step explanation:

A: look at the graph, find the x axis of 2 and on the y axis 1.

B basically the center

C look for x axis of -4, y axis for 3

D x axis -2, y axis -5

E x axis 1, y axis -3

F Center then go up 4

G x axis -5, y axis 1

H x axis -2, y axis 0

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Find a third-degree polynomial equation with rational coefficients that has roots -4 and 6 + i.
dolphi86 [110]

Answer:

x³ - 8x² - 11x + 148

Step-by-step explanation:

Given that x = 6 + i is a root then x = 6 - i is also a root

Complex roots occur as conjugate pairs.

The factors are therefore (x - (6 + i)) and(x - (6 - i))

Given x = - 4 is a root then (x + 4) is a factor

The polynomial is the product of the factors, that is

p(x) = (x + 4)(x - (6 + i))(x - (6 - i))

      = (x + 4)(x - 6 - i)(x - 6 + i)

      = (x + 4)((x - 6)² - i²)

      = (x + 4)(x² - 12x + 36 + 1)

      = (x + 4)(x² - 12x + 37) ← distribute

      = x³ + 4x² - 12x² - 48x + 37x + 148

      = x³ - 8x² - 11x + 148

 

3 0
3 years ago
What is the constant proportionality in the equation y = 6x?
Lesechka [4]

Answer: the constant of proportionality is x

Step-by-step explanation:

5 0
3 years ago
The surface area of a cone is 54 square inches. What is the surface area of a similar cone that is three times as large?
12345 [234]

<u>Given</u>:

Given that the surface area of the cone is 54 square inches.

We need to determine the surface area of the cone that is similar to the cone three times large.

<u>Surface area of the similar cone:</u>

Let us determine the surface area of the similar cone.

The surface area of the similar cone can be determined by multiplying the surface area of the cone by 3. Because it is given that the similar cone is three times large.

Thus, we have;

SA = 3 \times 54

SA=162

Thus, the surface area of the similar cone is 162 square inches.

6 0
3 years ago
A multiple of 9 with the tens digit that is more than the units digit​
Colt1911 [192]

Answer:

81, tens place is 8 ,unit's pkace is 1, so 8>1, that satisfies.

7 0
2 years ago
5 more than b divided by 2 is 5
gayaneshka [121]
We have an equation: (5+b)/2= 5
⇒ 5+b= 5*2
⇒ 5+b= 10
⇒ b= 10-5
⇒ b= 5

Final answer: b=5~
3 0
3 years ago
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