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luda_lava [24]
3 years ago
9

A line passes through the points (k+3,-2k) and (4,1) and has a y-intercept of 6. Find the value of k.

Mathematics
1 answer:
bija089 [108]3 years ago
4 0
Y = mx + b; b = 6 

<span>1 = 4m + 6; m = -5/4 </span>

<span>-5/4 = (1 + 2k) / (4 - k - 3) = (2k + 1) / (1 - k) </span>

<span>-5(1 - k) = 4(2k + 1) </span>

<span>5k - 5 = 8k + 4 </span>

<span>-3k = 9 </span>

<span>k = -3</span>
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8.5+4(1-2.5k)=24.5 round to the nearest hundredth
frosja888 [35]
Hi there! 

Your question: 

8.5 + 49(1-2.5k)=24.5

My answer: 

8.5 + 4(1-2.5k) = 24.5 >>>>>>> first, you have to distribute

8.5 + 4 - 10k = 24.5 >>>>>>>> now, we are going to combine like terms.

12.5 - 10k = 24.5 >>>>>> now, we are going to subtract 12.5 on both sides 

-10k = 12 >>>>>>>>> finally, divide -10 on both sides

k = -1.2


Hope this helps you!


7 0
3 years ago
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a man is 18 years older than his son. 3 years ago he was 4 times as old as his son how old is the man now​
Andru [333]

Answer:

The man is 27 years old.

Step-by-step explanation:

You can create a system of equations.
Let x = the age of the man
Let y = the age of his son
You can create the following equations based on what was given in the problem:
1. x = y + 18
2. (x - 3) = 4(y - 3)
You can simplify the second equation:
x - 3 = 4y - 12
x = 4y - 9
Then, solve the system of equations:
x = y + 18
-
x = 4y - 9
____________
0 = -3x + 27
The son's age is 9, therefore the father is 27 years old.

7 0
1 year ago
Find the amount of annuity.
PilotLPTM [1.2K]
295×((((1+0.1÷4)^(4×6)−1)
÷(0.1÷4))×(1+0.1÷4))
=9,781.54
8 0
3 years ago
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You estimate the weight of an apple to be 6 ounces. The actual weight of an apple is 4 ounces. What is your percent error?
maxonik [38]

Answer:

150%

Step-by-step explanation:

I hope this helps

7 0
2 years ago
The difference of two acute angles is an acute angle. always, sometimes, never true.​
gregori [183]

Answer:

Always true

Step-by-step explanation:

the difference of two acute angles is an acute angle.

It's ALWAYS TRUE

3 0
3 years ago
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