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3 years ago

Find the missing measure. (show your work)

Mathematics

1 answer:

Daniel [21]3 years ago

4 0

2/4 = 5/x

2 • x = 5 • 4

2x = 20

x = 20/2

x = 10

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Jen can bike 12 miles in 40 minutes. How much time will she need to bike 30 miles if her speed remains the same? PLEASE HELP QUI

murzikaleks [220]

Answer: 100 minutes

Step-by-step explanation:

With the given information, we can use a proportion to figure out how long it would take for Jen to bike 30 miles.

$\frac{12mi}{40min} =\frac{30mi}{x} \\$

$12x=30*40$

$12x=1200$

$x=100$

5 0

3 years ago

Read 2 more answers

Suppose a and b are both non zero real numbers. Find real numbers c and d such that 1/a+ib= c+id

Thepotemich [5.8K]

$\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}$

Explanation

$\frac{1}{a+bi}=c+di$

Step 1

multiplicate by the conjugate

$\begin{gathered} \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(bi)^2} \\ \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(-b^2)}=\frac{a-bi}{a^2+b^2} \end{gathered}$

notice that

$\begin{gathered} \frac{1}{a+bi}=\frac{a-bi}{a^2+b^2}=\frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i \\ \frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i=c+di \\ so \\ \end{gathered}$ $\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}$

I hope this helsp you

6 0

1 year ago

PLEASEEEE HELP MEEEE

agasfer [191]

Answer:

(0.5,0) , (-3,0) ,and (0,-1.5)

Step-by-step explanation:

Just look where the points touch the x- and y-axis.

It touches twice on the x- and once on the y-axis.

Hope that helps!

4 0

3 years ago

What are the diffrent ways to write a ratio pls help

Viefleur [7K]

One way to write a ratio is 5:8 or 5 to 8 and <u>5</u>

4 0

3 years ago

Write the equation of a line that is perpendicular to the given line and that passes through the given point.

OverLord2011 [107]

Answer:

y=5x+17

Step-by-step explanation:

perpendicular slope is 5

y-7=5(x+2) convert this equation into slope intercept and that's your answer

5 0

3 years ago