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svet-max [94.6K]
3 years ago
10

The slope of the line below is -5. Which of the following is the point slope form of the line (2,-7)

Mathematics
1 answer:
Dominik [7]3 years ago
7 0

Equation of the line in point slope form is y + 7 = -5(x - 2)

Step-by-step explanation:

  • Step 1: Given slope of the line is -5 and passes through the point (x1, y1) = (2,-7). Equation in point slope form is y - y1 = m(x - x1)

⇒ y - (-7) = -5(x - 2)

⇒ y + 7 = -5(x - 2)

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Which statement is true about the factorization of 30x2+40xy+51y2
icang [17]
The complete question is
Which statement is true about the factorization of 30x² + 40xy + 51y²<span>?

A. The factorization of the polynomial is 10(3x2 + 4xy + 5y2).
B. The polynomial can be rewritten as the product of a trinomial and xy.
C. The greatest common factor of the polynomial is 51x2y2.
D. The polynomial is prime, and the greatest common factor of the terms is 1.

we know that

case A) </span>is not right because 10 is not a common factor of the three terms.
case B) is not right because the original polynomial is already a trinomial
case C) is not right because the terms do not contain 51x^2y^2
<span>case D) is right 
because
</span><span>Factors of 30 are-----> 1,2,3,5,6,10,15,30
</span>Factors of 40 are-----> 1,2,4,5,8,10,20,40
Factors of 51 are-----> 1,51
<span>so
</span><span>The "Greatest Common Factor" is the largest of the common factors
</span><span>the GFC is 1

therefore

the answer is the option
</span>D. The polynomial is prime, and the greatest common factor of the terms is 1<span>



</span>
8 0
3 years ago
What is the distance -4 and 7 on a number line?
andreev551 [17]
11 spaces :) 7 minus 11 is -4
3 0
3 years ago
What is the sum?
BaLLatris [955]
4(x + 6)
4 × x = 4x
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3(3x + 4)
3 × 3x = 9x
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9x + 4x = 13x
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4 0
3 years ago
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The straight edge of the semicircle is 4 units, as this is this the diameter.

The circumference of the full circle is

C = pi*d = pi*4 = 4pi

which is the distance around the full circle (aka circle's perimeter)

So half of this is 4pi/2 = 2pi

Add this onto the straight edge length to get 4+2pi as the exact distance around the entire semicircle. This includes both straight and curved portions.

If you use the approximation pi = 3.14, then 4+2*pi = 4+2*3.14 = 10.28 is the approximate answer. To get a more accurate answer, use more decimal digits in pi.

---------------------------------------------------------

In summary,

exact answer in terms of pi is  4+2pi units

approximate answer is roughly 10.28 units (using pi = 3.14)

6 0
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