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son4ous [18]
2 years ago
13

Please help me, I have no idea what the equation for the new path is. Thank you!!

Mathematics
1 answer:
Citrus2011 [14]2 years ago
8 0
First, find the slope of the initial line; 

m=(y₁-y₂)/(x₁-x₂) 

m=(4-0)/(11-8) 
m=4/3 

If two lines are parallel, the slope is the same although the intercept can differ. 

If this parallel lines passes through the point (4, 5); 

y=(4/3)x+c <-- plug in coordinates to solve for c
5=(4/3)(4)+c 
(15/3)=16/3+c 
(15/3)-(16/3)=c 
-1/3=c 

Therefore, the final equation should be y=4/3x-1/3

Hope I Helped :) 
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Solve the inequality 15 ≥ q + 3
oksano4ka [1.4K]

Answer:

q\le \:12

Step-by-step explanation:

<u>Solving</u>

\mathrm{Switch\:sides}  (Not a required step)

q+3\le \:15

\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}

q+3-3\le \:15-3\\=q\le \:12

\bold{q\le \:12}

<u>Graphing</u>

5 0
2 years ago
If you go out to eat with friends and your meal was $ 72.50 , there is 6.75 % sales tax and you should tip the waiter 15 % . How
Ugo [173]

Answer:

divide this amount ($88.26875) by the number of people

Step-by-step explanation:

6.75% of $72.50 is 4.89375

15% of $72.50 is 10.875

72.50 + 4.89375 + 10.875 = 88.26875

divide this amount (88.26875) by the number of people

7 0
3 years ago
Ms. Moran has started an investment club at BSS. $8000 is invested, some at 10%
labwork [276]
The answer can be readily calculated using a single variable, x:

Let x = the amount being invested at an annual rate of 10%
Let (8000 - x) = the amount being invested at an annual rate of 12%

The problem is then stated as:

(x * 0.10) + ((8000 - x) * 0.12) = 900
0.10(x) + ((8000 * 0.12) - 0.12(x)) = 900
0.10(x) + 960 - 0.12(x) = 900
0.10(x) - 0.12(x) = 900 - 960
-0.02(x) = -60
-0.02(x) * -100/2 = -60 * -100/2
x = 6000 / 2
x = 3000

Thus, $3,000 is invested at 10% = $300 annually; and $8,000 - $3,000 = $5,000 invested at 12% = $600 annually, which sum to $900 annual investment.
6 0
2 years ago
What are the intercepts of the equation <br> 2x+3/2y+3z=6
Ne4ueva [31]
X-intercept => 2x = 6 => x = 3
x-intercept is 3.

y-intercept => 3/2y = 6 => y = 4
y-intercept is 4.

z-intercept => 3z = 6 => z = 2
z-intercept is 2.
3 0
2 years ago
Daredevil Danny takes a practice jump as shown on the graph below. Complete the steps to determine the equation for the paraboli
Tju [1.3M]

Answer:

Step 2:

Part A

f(x) = a(x-h)^2 +k

Part B

I'm not really sure about this part

Part C

f(x)=-12/25(x-25)^2+32

Step 3:

Part A

y = ax^2 + bx + c

Part B

f(x) = -12/25(x - 25)^2 + 32

Part C

a = -12/25

b = 0

c = 32

Step-by-step explanation:

Hope This Helps!

Sorry For Taking So Long!

3 0
3 years ago
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