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diamong [38]
3 years ago
6

(-1, 4) and (0,-1) writing out linear equations giving two points

Mathematics
1 answer:
Viefleur [7K]3 years ago
8 0

Answer:

The equation is y = -5x - 1.

Step-by-step explanation:

1. Find the slope using the formula. Slope = (4 + 1) / (-1 - 0) which is equal to 5 / -1 which is -5.

2. Use the slope-point formula to construct an equation. The equation is y - 4 = -5 * (x + 1)

3. Simplify. We would get y = -5x - 5 + 4, which is y = -5x - 1.

Answer: The equation is y = -5x - 1.

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What is the equation, in point-slope form, for a line that goes through ​ (2, −6) ​ and has a slope of ​ −34 ? plz help
Murrr4er [49]

Answer:

y = -34x + 62

Step-by-step explanation:

<u>Use the point slope form:  (y - y1) = m(x - x1)</u>

<u />

(y - (-6) = -34(x - 2)

y + 6 - 6 = -34x + 68 - 6

y = -34x + 62

Answer:  y = -34x + 62

4 0
3 years ago
Read 2 more answers
Suppose you are putting up a tent for a camping trip.
SSSSS [86.1K]

The length of the rope needed is 15 feet

Given the following parameters;

  • Height of the pole = 9 foot
  • The distance from the <u>rope away from the base </u>of the pole is 12 feet

Required

  • Length of the rope.

To get the length of the rope, you will use the pythagoras theorem expressed as:

  • c² = a² + b²

Substituting the given parameters:

c² = 9² + 12²

c² =81 + 144

c² = 225

c = √225

c = 15 feet

Therefore the length of the rope needed is 15 feet

Learn more on Pythagoras theorem here: brainly.com/question/231802

7 0
2 years ago
If t(d) = 3d + 1 and d(n) = 4n + 2, what is t(d(n)) when n = 5​
Mkey [24]

Answer:

67

Step-by-step explanation:

d(n) = 4n + 2

= 4(5) + 2

=22

t(d(n)) = 3(22) + 1

= 67

8 0
3 years ago
Helen Ming receives a travel allowance of $220 each from her company for time away from home. If this allowance in taxable and s
m_a_m_a [10]

Answer:

$33

Step-by-step explanation:

From the question, $22 is correct

If Helen Ming receives travel allowance of $220 from her company for time away from home

She has a 10% income tax rate

The amount she has to pay in taxes for the employee benefits is

10% of $220

10/100*$220

=0.1*$220

=$22

So you are correct

The only reason why you could be wrong is if the question is different from what you posted above just like the below question

Helen Ming receives a travel allowance of $220 each week from her company for time away from home. If this allowance is taxable and she has a 15 percent income tax rate, what amount will she have to pay in taxes for this employee benefit?

Here the amount she has to pay for the employee benefits is

15% of $220

15/100*$220

=0.15*$220

=$33

8 0
3 years ago
A hot air balloon can hold up to 300 pounds of weight. The balloon's pilot weighs 140 pounds. How many 20-pound bags or sand can
VARVARA [1.3K]

Answer:

8 sand bags can be carried along.

Step-by-step explanation:

First you want to subtract 300-140. That subtracts the pilots weight giving you the maximum weight capacity left. (160) Then you want to divide 160 (the weight that can be carried) by 20 (the weight of the sand bags) after doing that you will get 8. And that is how i got 8 sand bags as my answer.

7 0
3 years ago
Read 2 more answers
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