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jarptica [38.1K]
3 years ago
5

A line that passes through the point (–1, 3) has a slope of 2. Find another point on the line.

Mathematics
1 answer:
sineoko [7]3 years ago
5 0
Easy, find the equation of the line,

Using y=mx+b form:

(-1,3) m=2

3= 2(-1)+b

3= -2+b
+2     +2

5=b

y=2x+5. This is your equation.

Now, plug in the coordinates:

(-3,2)

2= 2(-3)+5
2= -6+5
2= -1

NO

(0,5)

5= 2(0)+5
5=5

YES

(1,5)

5= 2(1)+5
5= 2+5
5=7

NO

(1,4)

4= 2(1)+5
4= 2+5
4=7

NO.

Thus, B, is your answer.


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<img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B4%7D%20%20-%206%20%7Bx%7D%5E%7B3%7D%20%20%2B%2022%20%7Bx%7D%5E%7B2%7D%20%20-%2
alexira [117]

Answer:

x = 2, 1 + 3i, 1 − 3i

Step-by-step explanation:

Find the Roots (Zeros)

x^4 − 6x^3 + 22x^2 − 48x + 40

Set x^4 − 6x^3 + 22x^2 − 48x + 40 equal to 0. x^4 − 6x^3 + 22x^2 − 48x + 40 = 0

Solve for x.

Factor the left side of the equation.

Factor x^4 − 6x^3 + 22x^2 − 48x + 40 using the rational roots test.

(x − 2) (x^3 − 4x^2 + 14x − 20) = 0

 Factor x^3 − 4x^2 + 14x − 20 using the rational roots test.

(x − 2) (x − 2) (x2 − 2x + 10) = 0

 Combine like factors.

(x − 2)2 (x^2 − 2x + 10) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

(x − 2)^2 = 0

x^2 − 2x + 10 = 0

 Set (x − 2)^2 equal to 0 and solve for x.

Set (x − 2)^2 equal to 0.

 (x − 2)^2 = 0

Solve (x − 2)^2 = 0 for x.

x = 2

 Set x^2 − 2x + 10 equal to 0 and solve for x.

Set x^2 − 2x + 10 equal to 0. x^2 − 2x + 10 = 0

Solve x^2 − 2x + 10 = 0 for x.

Use the quadratic formula to find the solutions.

−b ± (√b^2 − 4 (ac) )/2a

Substitute the values a = 1, b = −2, and c = 10 into the quadratic formula and solve for x.

2 ± (√(−2)^2 − 4 ⋅ (1 ⋅ 10))/2 ⋅ 1

Simplify.

Simplify the numerator.

  x =    2 ± 6i/ 2.1

Multiply 2 by 1

 x =  2 ± 6i/2⋅1

 Simplify

  2 ± 6i/2  

   x = 1 ± 3i

The final answer is the combination of both solutions.

x = 1 + 3i, 1 − 3i

The final solution is all the values that make (x − 2)2 (x2 − 2x + 10) = 0 true.

x = 2, 1 + 3i, 1 − 3i

3 0
3 years ago
Name two integers that have a product between -10 and -15
umka2103 [35]
A product means when they are multiplied together.
I.e. The product of 3 and 4 is 12, because 3 * 7 = 4
i.e. The product of -4 and + 8 is 4, because -4 * 8 = -36

An integer means a whole number like 1, 2, 3, 4, 5, or -1, -2, -3, -4.
i.e. 3.2 is NOT AN INTEGER since there is a decimal

Two integers that have a product between -10 and -15
> Can be -6 and +2 which the product is -12 <em><------- (-6 * +2)
</em>> Can be -7 and +2 which the product is -14 <------- (-7 * -21)
<em>So an answer would be
"-6 and +2" are integers which have a product between -10 and -15
</em>
6 0
3 years ago
1<br> 3<br> 4<br> 0.5<br> - 3<br> - 6.5<br> - 10<br> What is the linear function?
Wewaii [24]

Answer: it’s probably negative 6.5 but there has to be a grid to be more clear

Step-by-step explanation:

7 0
3 years ago
I don’t know the answer
Sunny_sXe [5.5K]

Answer:

AC ≈ 12.9 cm

Step-by-step explanation:

Using the ratio

sin40° = \frac{b}{20}

Multiply both sides by 20

20 × sin40° = b, hence

AC = b = 20 × sin40° ≈ 12.9

5 0
3 years ago
Read 2 more answers
A farmer needs to box 740 apples. A box holds 9 apples. If every box is full except for the last, how many apples are in the las
erma4kov [3.2K]
9 times 82 = 738 740-738=2
6 0
2 years ago
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