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sertanlavr [38]
3 years ago
9

Help asap

Mathematics
1 answer:
LenKa [72]3 years ago
5 0
Hello! The answer is 13.5 seconds! I hope this helps :3
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Write an equation in slope-intercept form for the following line:<br> (-14.1) and (13,-2)
vesna_86 [32]

Answer:

y=-\frac{1}{9}x-\frac{5}{9}

Step-by-step explanation:

(-14,1)(13,-2)

Use the slope-intercept formula:

y=mx+b

m is the slope and b is the y-intercept. Use the slope formula first:

\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{rise}{run}

Rise over run is the change in the y-axis over the change in the x-axis. Plug in the coordinates:

(-14(x_{1}),1(y_{1}))\\(13(x_{2}),-2(y_{2}))

\frac{-2-1}{13-(-14)}

Simplify parentheses (two negatives makes a positive):

\frac{-2-1}{13+14}

Simplify:

\frac{-3}{27} =-\frac{3}{27}=-\frac{1}{9}

The slope is -\frac{1}{9}. Insert into the equation:

y=-\frac{1}{9}x +b

Now, to find the y-intercept, take one of the points and substitute for the x and y values of the equation:

(13,-2)\\-2=-\frac{1}{9} (13)+b

Solve for b, the y-intercept. Simplify parentheses:

-\frac{1}{9}*\frac{13}{1}=-\frac{13}{9}

-2=-\frac{13}{9} +b

Add -\frac{13}{9}  to both sides:

-2+\frac{13}{9}=-\frac{13}{9} +\frac{13}{9}  +b\\\\-2+\frac{13}{9} =b

Simplify:

-\frac{2}{1} +\frac{13}{9}\\\\-\frac{18}{9}+\frac{13}{9}\\  \\b=-\frac{5}{9}

The y-intercept is -\frac{5}{9} . Insert this into the equation:

y=-\frac{1}{9} x-\frac{5}{9}

Finito.

8 0
3 years ago
A meseum calculates the rate for groups by charging $4 per person along with a one-time $8 fee. If the cost for a group is $60,h
shusha [124]

Answer:

there are 13 people in the group

Step-by-step explanation:

First step is to subtract the one-time fee from the cost

$60 - $8 = $52

Second step is to divide by the cost per person

⇒ $52/$4 = 13

8 0
3 years ago
Read 2 more answers
if you had a block of each type of wood with the same dimensions,how would their weights compare?explain?
inysia [295]
For this case we have the following equation:
 Density = mass / volume
 If the volume is the same, then the object with the greatest weight will be the one with the highest density.
 You must know the type of way to know the value of the density.
 Answer:
 
The weight of the blocks will depend on the density if the volume is the same.
8 0
3 years ago
Read 2 more answers
QUESTION 4 of 10: Your average weekly take home wage is $615. You take a one-week paid vacation and a second week unpaid vacati
Anastasy [175]

Answer:

$45

Step-by-step explanation:

Here we need to calculate the income of this year.

We know that a year has 52 weeks. And, our payed weeks are 51, they are, the 50 weeks we work plus the one week of paid-vacation. The remaining week does not give us income, as is unpaid. So our total year income is:

51 * $615 = $31,365

So, our surplus will be our income minus our expenses:

Surplus = $31,365 - $31,320 = $45

Our cash surplus is $45

6 0
3 years ago
Read 2 more answers
Solve for x in the diagram.
BARSIC [14]

Answer:

x = 20

Step-by-step explanation:

x° + 2x° + (x+10)° = 90°

3x° + x° + 10° = 90°

4x° + 10° = 90°

4x° = 90°-10°

4x° = 80°

x = 80/4

x = 20

8 0
3 years ago
Read 2 more answers
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