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Sav [38]
3 years ago
14

What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2,4)?

Mathematics
1 answer:
pav-90 [236]3 years ago
7 0

Answer:

y=-5/2x-1

Step-by-step explanation:

change the equation to slope intercept form

y=-5/2x+6

graph the point (-2, 4)

use the slope of the equation to find the y intercept

y intercept = -1

write equation of the parallel line using the same slope of the first line

-5/2x

and the y intercept of the new parallel line -1

y=-5/2x-1

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What are the answers
gulaghasi [49]

Answer and Step-by-step explanation:

7. 70 - 180 = 110

8.  39 - 180 = 141

9. 81 - 180 = 99

10. 81 - 180 = 99

11. 115 - 180 = 65

12.  41+36 = 77 - 180 = 103

x = answer

4 0
2 years ago
Need help with these 2 problems will give brainliest answer and worth 30 points!!
Elena L [17]
Question 1.
Step 1. Add the total cost of purchasing the luxury items:
TotalCost=35.95+34.65+15.30+6.99+42.96=135.85
You will spend $135.85 purchasing the luxury items.

Step 2. Add the total cost of purchasing the name brand items:
TotalCost=19.95+15.98+9.40+4.99+29.75=80.07
You will spend $80.07 purchasing the name brand items.

Step 3. Subtract the total cost of purchasing the name brand items from the total cost of purchasing the luxury items:
135.85-80.07=55.78

Answer to the original question:
We can conclude that you will spend $55.78 more by purchasing the luxury items.

Question 2:

Part 1. 
To find the how many months will take to pay the card debt, we are going to use the credit card equation: N=- \frac{1}{30}* \frac{ln(1+ \frac{b}{p}*(1+ \frac{r}{365})^{30}))  }{ln(1+ \frac{r}{365}) }
where
N is the months to pay the card
b is the balance 
p is the monthly payment 
r is the interest rate in decimal form 

We know from our problem that the balance of the credit card is $1,367.90 and the monthly payment is $400.00, so b=1367.90 and p=400. To find convert the interest rate to decimal form, we are going to divide the rate by 100% 
r= \frac{9.5}{100}=0.095.
Now that we have all we need, lets replace the values in our credit card equation: 
N=- \frac{1}{30}* \frac{ln(1+ \frac{b}{p}*(1+ \frac{r}{365})^{30})) }{ln(1+ \frac{r}{365}) }
N=- \frac{1}{30}* \frac{ln(1+ \frac{1367.90}{400}*(1+ \frac{0.095}{365})^{30})) }{ln(1+ \frac{0.095}{365}) }
N=3.4799

It will take you 3.5 months according to our calculation, but since you pay $400 each month on the due date, we can conclude that it will take you 4 months to pay off the card.

Part 2. To calculate the total amount paid including the interest, we just need to multiply the monthly payment by the number of payments.
We know from our problem that the monthly payment is $400. We also know from our previous calculations that the number of payments is 4, so lets multiply both quantities:
400*4=1600

We can conclude that the total amount paid including interest is $1,600


5 0
3 years ago
Mr. Fuller wants to put fencing around his rectangular-shaped yard. the width of the yard is 55 feet and the length is 75 feet.
AlekseyPX
260 feet. 55+55=110, 75+75=150, 150+110=260
5 0
2 years ago
Read 2 more answers
Round each mixed number to the nearest whole number. Then, estimate the sum. 14/11/12+3/1/6
yanalaym [24]

14\11\12 + 3\1\6

4 0
2 years ago
Find the indicated derivative If f(x) = x^3 , find f’(-4)
babunello [35]

Answer:

48

Step-by-step explanation:

f(x) = x³

f'(x) = 3x²

f'(-4) = 3(-4)²

f'(-4) = 48

7 0
3 years ago
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