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3 years ago

Caleb draws two triangles

Mathematics

1 answer:

Arada [10]3 years ago

7 0

Answer:

no no yes yes

Step-by-step explanation:

took the test

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What is the product of 2p+q and -3q-6+1

MissTica

(2p + q)(-3q - 5)
(2p + q)(-5 -3q)
-10p -6pq -5q -3q^2
-3q^2 -5q -6pq -10p

5 0

3 years ago

Partial fraction decomposition<br> 20x+9/25x^2+20x+4

ozzi

Step-by-step explanation:

We have

$\frac{20x + 9}{25 {x}^{2} + 20x + 4 }$

Let's factor the denomiator first,

the denomaitor is a perfect square so we get

$\frac{20x + 9}{(5x + 2) {}^{2} }$

Now, we must think of two fractions that

$\frac{a}{(5x + 2) {}^{2} } + \frac{b}{5x + 2}$

We use a perfect square term for one fraction, then a linear one for the next, because if we set both of the denomiator to the same factor, we would get a inconsistent system.

So right now, we have

$\frac{a}{(5x + 2) { }^{2} } + \frac{b}{5x + 2} = \frac{20x +9 }{25 {x}^{2} + 20x + 4 }$

$a + (5x + 2)b = 20x + 9$

$5b (x)= 20$

$a + 2b = 9$

$b = 4$

so that means that a is

$a + (2)(4) = 9$

$a + 8 = 9$

$a = 1$

So our equation is

$\frac{1}{(5x + 2) {}^{2} } + \frac{4}{5x + 2}$

6 0

3 years ago

xxTIMURxx [149]

Answer:

y-intercept: (0,6)

slope = -2

equation: y = -2x + 6

Step-by-step explanation:

1) First, identify the y-intercept. The y-intercept is the point at which the line intersects the y-axis. We can see that the line crosses the y-axis at (0,6), so that must be it.

2) Now, find the slope. Pick two points from the line. I chose (0,6) and (3,0). Then, substitute the two points' x and y values into the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ and solve:

$m = \frac{0-6}{3-0}\\m = \frac{-6}{3}\\m = -2$

So, the slope is -2.

3) With the found information, use the slope-intercept formula $y = mx + b$ to write the line's equation. Substitute values for the $m$ and $b$ .

$m$ represents the slope, so substitute -2 in its place. $b$ represents the y-intercept, so substitute 6 in its place. This gives the following equation:

$y = -2x + 6$