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2 years ago

Find the equation, in standard form, of the line passing through the points (3,-4) and (5,1)

1 answer:

4 0

(3,-4)(5,1)
slope = (1 - (-4) / (5 - 3) = (1 + 4) / 2 = 5/2

y = mx + b
slope(m) = 5/2
use either of ur points (5,1)...x = 5 and y = 1
now we sub and find b, the y int
1 = 5/2(5) + b
1 = 25/2 + b
1 - 25/2 = b
2/2 - 25/2 = b
-23/2 = b

so ur equation is y = 5/2x - 23/2...but we need it in standard form

y = 5/2x - 23/2...subtract 5/2x from both sides
-5/2x + y = -23/2....multiply everything by -2
5x - 2y = 23 <== standard form

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Solve for n. n + 1 = 4(n - 8) n = 1 T n = 8 n = 11 n = 16

Komok [63]

Answer:

n=11

Step-by-step explanation:

n+1=4(n-8)

11+1=4(11-8)

12=4(3)

12=12

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3 years ago

Read 2 more answers

Can anyone help me? is it a b c or d

Nataly_w [17]

Answer: choice a

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. Note: This rule must be satisfied for all 3 conditions of the sides.

so it has to be in between 9 and 5

7+2=9

2+x>7

--> x>5

however, it can't be 5 or 9

Hope this helps! <3

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2 years ago

2 of a dozen eggs are cracked. What percent of the carton is NOT cracked using the percent proportion

levacccp [35]

If 2 of 12 eggs are cracked, then 10 are not cracked.

10/12=5/6=about 0.83

0.83 of total eggs not cracked is also equivalent to 83 percent as asked in the problem :)

6 0

2 years ago

John and his friend ordered lunch at a local sandwich shop. They each ordered a soft drink that costs $1.65. John orders a whole

ExtremeBDS [4]

Answer:

a. $12.54 = $ 1.65 + c/2 + c b. $ 7.26

Step-by-step explanation:

a. What equation can you use to find the cost c of a sandwich

Let c be the cost of a whole ham sandwich. Now, the total bill = cost of drinks + cost of half a ham sandwich + cost of a whole ham sandwich.

total bill = $ 12.54, cost of drinks = $ 1.65, cost of half a ham sandwich = c/2 and cost of a whole ham sandwich = c. So,

$12.54 = $ 1.65 + c/2 + c

b. What is the value of c

We then solve for c in the equation $12.54 = $ 1.65 + c/2 + c

collecting like terms, we have

$12.54 - $ 1.65 = c/2 + c

$ 10.89 = 3c/2

multiplying through by 2, we have

$ 10.89 × 2 = 3c

$ 21.78 = 3c

dividing through by 3, we have

c = $ 21.78/3

= $ 7.26

4 0

2 years ago

City A is 10 miles from city B and 5 miles from city C. Cities A, B, and C form a right triangle at A. A road connects cities B

laila [671]

Answer:

11.18 miles

Step-by-step explanation:

The sides of a right triangle a, b, c are related by the equation

a^2 + b^2 = c^2

where c is the longest side of the triangle

Hence given that A connects B and C directly and forms a right angle at A

5^2 + 10^2 = c^2

Where c is the length of the road

25 + 100 = c^2

125 = c^2

c = 125^1/2

= 11.18 miles

3 0

2 years ago