How can you verify that the solution to a proportion is correct?

Mathematics

1 answer:

xxTIMURxx [149]3 years ago

3 0

Answer:

In problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. To find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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2. What is the equation in slope-intercept form of the line that passes through thepoints (-4, 47) and (2, -16)?O21 979y=-2*+ 21

trapecia [35]

hello

the points given are (-4, 47) and (2, -16)

let's find the intercept of this equation

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ x_2=2 \\ y_2=-16 \\ y_1=47 \\ x_1=-4 \end{gathered}$ $\begin{gathered} m=\frac{-16-47}{2-(-4)} \\ m=-\frac{21}{2} \\ slope=-\frac{21}{2} \end{gathered}$

now, since we know the value of the slope, we can use that in the standard equation on a straight line

the standard equation of a straight line is given as

$\begin{gathered} y=mx+c \\ m=\text{slope} \\ c=\text{intercept} \end{gathered}$

we can pick any of the points and solve for intercept

let's use (2, -16)

$\begin{gathered} x=2 \\ y=-16 \\ y=mx+c \\ m=-\frac{21}{2} \\ -16=-\frac{21}{2}(2)+c \\ -16=-21+c \\ \text{collect like terms} \\ c=-16+21 \\ c=5 \end{gathered}$

now we know the value of intercept (c) = 5 and the slope (m) = 21/2

let's use this to write equation of the straight line

$\begin{gathered} y=mx+c \\ y=-\frac{21}{2}x+5 \end{gathered}$

from the calculations above, the equation of the straight line is given as y = -21/2x + 5

8 0

1 year ago

12 yellow balls and 7 red balls are placed in an urn. two balls are then drawn in succession without replacement. what is the pr

xxMikexx [17]

Total number of balls = 12 + 7 = 19

p(first ball is a red) = 7/19

Answer: 7/19

6 0

3 years ago

Help me find the function pls

wlad13 [49]

Answer:

see below

Step-by-step explanation:

The tangent function has been shifted upward by 2 units, but there has been no horizontal scaling. Any horizontal offset must be equal to some number of whole periods.

Choices A and B show tan( )+2, the correct vertical offset. However, choice A has a horizontal scale factor of 2. The correct choice is B, which has no horizontal scaling (the coefficient of x is 1) and a horizontal offset of π, one full period.

_____

Comment on horizontal scaling

Horizontal scaling is different from vertical scaling in that using k·x in place of x compresses the graph horizontally by a factor of k. On the other hand, using k·f(x) in place of f(x) expands the graph vertically by a factor of k.