let's recall that an inverse function has the same pair of coordinates as the original function, but backwards, or namely the inverse's range is the original's domain.

$\bf \stackrel{f(x)}{\begin{array}{|cc|ll} \cline{1-2} 4&2\\ 6&3\\ 8&4\\ \cline{1-2} \end{array}}\qquad \qquad \stackrel{f^{-1}(x)}{\begin{array}{|cc|ll} \cline{1-2} 2&4\\ 3&6\\ 4&8\\ \cline{1-2} \end{array}}$

8 0

3 years ago

morpeh [17]

Answer:

RQ = 10

Step-by-step explanation:

When two triangles are similar, the ratio of their corresponding sides are equal;

Thus, we have it that;

QP/RQ = BC/AB

12/RQ = 36/30

RQ = 12 * 30/36 = 10

4 0

3 years ago

Write the equation of line AB in slope-intercept form, given the points A(0,5) and B(-5,-10) . In your final answer, include all

Evgesh-ka [11]

Answer:

y = 3x + 5

Step-by-step explanation:

1) First, find the slope between the pair of points. Use the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ . Substitute the x and y values of points A and B into the formula and simplify:

$m = \frac{(-10)-(5)}{(-5)-(0)} \\m = \frac{-10-5}{-5-0} \\m = \frac{-15}{-5} \\m = 3$

So, the slope is 3.

2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that (0,5) is a point the line intersects, and since it has an x-value of 0, that must be the y-intercept.

3) Using slope-intercept format, represented by the equation $y = mx + b$ , write the equation of the line. Remember that the number in place of $m$ , or the coefficient of the x-term, is the slope. So, substitute 3 for $m$ . Also, remember that $b$ represents the y-intercept of a line, so substitute 5 in its place, too. This gives the following answer:

$y = 3x + 5$

7 0

3 years ago

If you roll two dice, find the probability of rolling a sum equal to either six or eight.

Yanka [14]

Answer:

6/12=1/2 the probability of rolling q sum equal to either six or eight

5 0

3 years ago