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Aleks [24]
3 years ago
10

Write in slope-intercept form an equation of the line that passes through the points (-4, 2) and (6,-3).

Mathematics
1 answer:
kykrilka [37]3 years ago
8 0

Answer:

y = (-1/2)x

Step-by-step explanation:

As we go from (-4, 2) to (6, -3), x (the "run") increases by 10 and y (the "rise") decreases by 5.  Thus, the slope of the line connecting these two points is m = rise / run = m = -5/10, or m = -1/2.

We adapt the slope-intercept form as follows:  y = mx + b becomes

2 = (-1/2)(-4) + b, or

2 = 2 + b.  Therefore, b must be 0.  The desired eequation is y = (-1/2)x.

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A shopkeeper buys pens at the rate of ₹ 75 per 100. for how much should he sell each pen so as to make a gain of 15%? please hel
Lady bird [3.3K]

Answer:

He should sell each pen of Rs.0.8625 so as to make a gain of 15%

Step-by-step explanation:

  • Cost price of 100 pens = Rs.75
  • Cost price of 1 pen=\frac{75}{100} = 0.75
  • Gain%= 15%

Gain=15%X 0.75= 0.1125

SP = CP+Gain = 0.75+0.1125=0.8625

<u>So, He should sell each pen of Rs.0.8625 so as to make a gain of 15%</u>

#Learn more:

By selling 60 pens a shopkeeper gain the cp of 15 pen. If he bought 20 pens in rs36. Find the sp of one pen

brainly.in/question/15083989

https://brainly.in/question/7469007

3 0
3 years ago
Hayley has $155 in savings, and her brother Hank has $230. Hayley is saving $10 each week, and her brother is spending $15 each
Sindrei [870]

Answer:

After 3 weeks they both will have the same amount in their savings account.

Step-by-step explanation:

Given:

Amount saved by Haley = $155

Amount saved by Hank = $230

Amount saving each week by Haley = $10

Amount spending each week by Hank = $15

We need to find Number of weeks when both both will have same amount in savings account.

Solution:

Let Number of week be 'x'.

Total Amount of Haley can be calculated by Amount saved by Haley plus Amount saving each week by Haley multiplied by number of weeks.

framing in equation form we get;

Total Amount of Haley = 155+10x

Also;

Total Amount of Hank can be calculated by Amount saved by Hank minus Amount spending each week by Hank multiplied by number of weeks.

framing in equation form we get;

Total Amount of Hank = 230-15x

Now we need to find the number of weeks when both will have same amount.

To find the same we will have to make both the equation equal.

So we can say.

155+10x=230-15x

On Solving above equation we get;

We will combine the like terms together;

10x+15x =230-155\\\\25x = 75

Now Dividing both side by 25 using Division property of equality we get;

\frac{25x}{25} = \frac{75}{25}\\\\x=3 \ weeks

Hence, After 3 weeks they both will have the same amount in their savings account.

4 0
3 years ago
The length of the base of an isosceles triangle is x. The length of a leg is 4x-6. The perimeter of the triangle is 60. Find x.
lbvjy [14]

Answer:

Perimeter of a triangle = add all sides

Both the legs of the isosceles triangle are always EQUAL.

x+4x-6+4x-6 = 60

9x-12 = 60

9x = 60+12

9x = 72

x = 8

3 0
3 years ago
Mr Smith is making a 4 question quiz. looking at a bank of quiz questions there are 17 choices for question one, 16 choices for
Harrizon [31]

Answer:

4,352

Step-by-step explanation:

17 × 16 × 8 × 2

4352

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3 years ago
3) (7,5), (9,-4)<br> A) (-1, 4.5)<br> G) (6, 2.5)<br> B) (11.-13)<br> D) (8,0.5)
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Answer:

Step-by-step explanation:  474747-4747474-

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