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jok3333 [9.3K]
3 years ago
15

How do I solve this

Mathematics
2 answers:
S_A_V [24]3 years ago
5 0

Answer:

30 hours

Step-by-step explanation:

h- hours worked      t-total amount you get

your equation: 5h+130=t

your friend's: 6h+100=t

you worked the same number of hours, so

5h+130=6h+100

-h=-30

h=30

bagirrra123 [75]3 years ago
4 0

Answer:30

5x+130=6x+100

Step-by-step explanation:

Let's solve your equation step-by-step.

5x+130=6x+100

Step 1: Subtract 6x from both sides.

5x+130−6x=6x+100−6x

−x+130=100

Step 2: Subtract 130 from both sides.

−x+130−130=100−130

−x=−30

Step 3: Divide both sides by -1.

−x

−1

=

−30

−1

x=30

Answer:

x=30

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The points A(1, 4), B(5,1) lie on a circle. The line segment AB is a chord. Find the equation of a diameter of the circle.
tangare [24]

Check the picture below.

well, we want only the equation of the diametrical line, now, the diameter can touch the chord at any several angles, as well at a right-angle.

bearing in mind that <u>perpendicular lines have negative reciprocal</u> slopes, hmm let's find firstly the slope of AB, and the negative reciprocal of that will be the slope of the diameter, that is passing through the midpoint of AB.

\bf A(\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad B(\stackrel{x_2}{5}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{1}}}\implies \cfrac{-3}{4} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{slope of AB}}{-\cfrac{3}{4}}\qquad \qquad \qquad \stackrel{\textit{\underline{negative reciprocal} and slope of the diameter}}{\cfrac{4}{3}}

so, it passes through the midpoint of AB,

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad B(\stackrel{x_2}{5}~,~\stackrel{y_2}{1}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{5+1}{2}~~,~~\cfrac{1+4}{2} \right)\implies \left(3~~,~~\cfrac{5}{2} \right)

so, we're really looking for the equation of a line whose slope is 4/3 and runs through (3 , 5/2)

\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{\frac{5}{2}}) \stackrel{slope}{m}\implies \cfrac{4}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{\cfrac{5}{2}}=\stackrel{m}{\cfrac{4}{3}}(x-\stackrel{x_1}{3})\implies y-\cfrac{5}{2}=\cfrac{4}{3}x-4 \\\\\\ y=\cfrac{4}{3}x-4+\cfrac{5}{2}\implies y=\cfrac{4}{3}x-\cfrac{3}{2}

4 0
3 years ago
Convert the credit card rate to the APR. Ohio, 0.02192% daily rate. Please round your answer to the nearest percent. (zero decim
kogti [31]

Answer:

8%

Step-by-step explanation:

APR means annual percentage rate.

To convert the daily rate to an APR, multiply the daily rate by the number of days in a year

365 days = 1 year

0.02192% x 365 = 8.0008%

To round off to the nearest percent, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.

The tenth digit is 0, so the number would be rounded off to 8%

3 0
3 years ago
Can someone help me out?
MAVERICK [17]
I ठिनक धट it's थे ३एड ओने
6 0
3 years ago
Pls help and thank you lolz
guapka [62]

Answer:

55

Step-by-step explanation:

there are two ways to answer : since angle 1 and the 125 degree angle are a linear pair, you can do 180-125 = 55, or, since the three angles in the triangle always add up to 180, you can do 180-37-88 = 55.

3 0
3 years ago
Read 2 more answers
3x2 + 7x+3<br> 5x2 + 12x
MaRussiya [10]

Final result :

 19x2 + 119x - 28

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6 0
3 years ago
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