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3 years ago

Which of the binomials below is a factor of this trinomial?х2 - 10х- 39

Mathematics

1 answer:

bazaltina [42]3 years ago

7 0

Answer:

(x - 13) and (x + 3)

Step-by-step explanation:

Given

x² - 10x - 39

Consider the factors of the constant term (- 39) which sum to give the coefficient of the x- term (- 10)

The factors are - 13 and +3, since

- 13 × 3 = - 39 and - 13 + 3 = - 10, thus

x² - 10x - 39 = (x - 13)(x + 3) ← in factored form

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35/79

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Assuming you can't choose the same song a second time, the probability is 35/79.

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3 years ago

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Sloan [31]

Answer:

Correct answer: (x - 10)² + y² = 441 / 4

Step-by-step explanation:

Given:

(a, b) = (10, 0) the coordinates of the center of the circle

(10, 21/2) circle passing through this point

The standard form of the circle equation is:

(x - a)² + (y - b)² = r² where r is radius of the circle

We will replace the given coordinates of the center of the circle and the point it passes through to get the radius of the circle:

(10 - 10)² + (21/2)² = r² ⇒ r² = (21/2)² = 441 / 4

r² = 441 / 4

(x - 10)² + y² = 441 / 4

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3 years ago

F(x) = x/4 - 3

Ilya [14]

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2 years ago

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Ray Of Light [21]

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Step-by-step explanation:

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2 years ago

1. Given points A(3, -5) and B(19, -1), find the coordinates of point C that sit 3/8 of the way along line AB, closer to A than

zaharov [31]

1. C(x, y) = (7.3, –3.9)

2. C(x, y) = (17, –1.5)

Solution:

Question 1:

Let the points are A(3, –5) and B(19, –1).

C is the point that on the segment AB in the fraction $\frac{3}{8}$ .

Point divides segment in the ratio formula:

$$C(x, y)=\left(\frac{mx_2+nx_1}{m+n} , \frac{my_2+ny_1}{m+n}\right)$

Here, $x_1=3, y_1=-5, x_2=19, y_2=-1$ and m = 3, n = 8

$$C(x, y)=\left(\frac{3\times19+8\times3}{3+8} , \frac{3\times(-1)+8\times(-5)}{3+8}\right)$

$$=\left(\frac{57+24}{11} , \frac{-3-40}{11}\right)$

$$=\left(\frac{81}{11} , \frac{-43}{11}\right)$

C(x, y) = (7.3, –3.9)

Question 2:

Let the points are A(3, –5) and B(19, –1).

C is the point that on the segment AB in the fraction $\frac{3}{8}$ .

Point divides segment in the ratio formula:

$$C(x, y)=\left(\frac{mx_2+nx_1}{m+n} , \frac{my_2+ny_1}{m+n}\right)$

Here, $x_1=3, y_1=-5, x_2=19, y_2=-1$ and m = 7, n = 1

$$C(x, y)=\left(\frac{7\times19+1\times3}{7+1} , \frac{7\times(-1)+1\times(-5)}{7+1}\right)$

$$=\left(\frac{133+3}{8} , \frac{-7-5}{8}\right)$

$$=\left(\frac{136}{8} , \frac{-12}{8}\right)$

C(x, y) = (17, –1.5)

8 0

3 years ago

Which of the binomials below is a factor of this trinomial?х2 - 10х- 39​

Which of the binomials below is a factor of this trinomial?х2 - 10х- 39