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SCORPION-xisa [38]
3 years ago
8

1

Mathematics
1 answer:
prisoha [69]3 years ago
7 0

Answer:

second option

Step-by-step explanation:

Parallel lines have the same slope, and since the slope of the given line is 1/2, we know the slope of the answer will be 1/2, which eliminates the first and last options. We know the slope and a point that belongs to the line, (-2, 1), so we can use point-slope formula to derive the equation of the line.

y - 1 = 1/2(x + 2)

y - 1 = 1/2x + 1

y = 1/2x + 2

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Please help me out!!!!!
Neko [114]

Given:

The zeros of the polynomial are -2,\pm 5,4.

Degree = 4

Leading coefficient  = 1

To find:

The polynomial.

Solution:

If c is a zero of a polynomial, then (x-c) must be a factor of the polynomial.

Here, -2,4,-5, 5, are zeros of the required polynomial, so (x+2), (x-4), (x+5), (x-5) are factors of required polynomial.

p(x)=(x+2)(x-4)(x+5)(x-5)

p(x)=(x^2-4x+2x-8)(x^2-5^2)     [\because a^2-b^2=(a-b)(a+b)]

p(x)=(x^2-2x-8)(x^2-25)

Using distributive property, we get

p(x)=x^2(x^2-25)-2x(x^2-25)-8(x^2-25)

p(x)=x^4-25x^2-2x^3+50x-8x^2+200

On combining like terms, we get

p(x)=x^4-2x^3+(-25x^2-8x^2)+50x+200

p(x)=x^4-2x^3-33x^2+50x+200

Here, the leading coefficient is 1. So, it is the required polynomial.

Therefore, the correct option is E.

3 0
2 years ago
Tom has r quarters. Express the value of the quarters in cents.
BigorU [14]
C = 0.25r

this is becasue quarters have a value of 0.25 and c is the total cents

hope this helps and have a great day! :)
3 0
3 years ago
How do you find the height of a trapezoid
9966 [12]
<span>To solve this question, you must divide the trapezoid into a rectangle and two right triangles. Using the Pythagorean Theorem, you would calculate the height of the triangle which is 4. The dimensions of the rectangle are 5 and 4, hence the area will be 20.</span>
6 0
3 years ago
Read 2 more answers
Solve for n.<br> 7n - 4 = 317<br> n =
MatroZZZ [7]

Step-by-step explanation:

7n - 4 = 317 \\ 7n = 317 + 4 \\ 7n = 321 \\ n =  \frac{321}{7}  \\ n = 45 \frac{6}{7}

6 0
2 years ago
Read 2 more answers
Experimental vs. Theoretical Probability:
liubo4ka [24]
Hello Nitagomez,

To start the numbers 1 through 6 are on a number cube.
Half of them are even, 2, 4, and 6.

So it makes sense that when you roll the cube 60 times, you should have 30 even numbers. The theoretical probability is 30.

A predication of 20 is 10 less than the expected value of 30.
10 out of 30 is 33%.

The predication is off by 33%, I would argue that it is not a very good prediction.

I hope this helps, Good luck!
MrEquation
6 0
3 years ago
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