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Usimov [2.4K]
3 years ago
15

The point-slope form of the equation of the line that passes through points (-5,-1) and (10, -7 ) is y-4=1/4 (x-8) what is the s

lope intercept form of the equation for this line​ ?
Mathematics
1 answer:
arlik [135]3 years ago
4 0

Answer:

y = \frac{1}{4} x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

y - 4 = \frac{1}{4} (x - 8) ← distribute

y - 4 = \frac{1}4} x - 2 ( add 4 to both sides )

y = \frac{1}{4} x + 2 ← in slope- intercept form

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If a certain number of Grade IV students share 28 or 39 skill books in Mathematics,there are remainders of 4 and 3 books. What i
nadya68 [22]

Answer:

  • 12 students

Step-by-step explanation:

<u>Below numbers are divisible by the number of students:</u>

  • 28 - 4 = 24
  • 39 - 3 = 36

<u>Lets find GCF of 24 and 36:</u>

  • 24 = 2*2*2*3
  • 36 = 2*2*3*3
  • GCF(24,36) = 2*2*3 = 12

The largest possible number of students is 12

7 0
3 years ago
To find the area of a trapezoid with those numbers
Yuliya22 [10]

Area=14.6

To find a trapezoid

Top +Bottom /2 multiplied by height

So 2.5+ 4.8= 7.3

7.3/2= 3.65

3.65x4=14.6

3 0
4 years ago
A consumer affairs investigator records the repair cost for 4 randomly selected washers. A sample mean of $64.26 and standard de
Mashutka [201]

Answer:

Critical value: z = 1.28

The 80% confidence interval for the mean repair cost for the washers is between $46.487 and $82.033.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.80}{2} = 0.10

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha

So it is z with a pvalue of 1-0.1 = 0.9, so z = 1.28

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

So

M = 1.28*\frac{27.77}{\sqrt{4}} = 17.773

The lower end of the interval is the mean subtracted by M. So 64.26 - 17.773 = $46.487.

The upper end of the interval is M added to the mean. So 64.26 + 17.773 = $82.033.

The 80% confidence interval for the mean repair cost for the washers is between $46.487 and $82.033.

7 0
3 years ago
Use the relationship between the angles in the figure to answer
Sholpan [36]
31+40 = 71. 180-71=109
5 0
3 years ago
Read 2 more answers
A pine cone drops from a tree branch that is 36 feet above the ground. The function h = –16t2 + 36 is used. If the height h of t
scoray [572]
Notice that the height of the pine cone when it hits the ground is zero. So, to find the tame it takes for the pine cone to hit the ground, we just need to replace the height, h, with 0 in the function, and solve for time t:
h=-16t^2+36
0=-16t^2+36
-36=-16t^2
t^2= \frac{-36}{-16}
t^2= \frac{9}{4}
t=(+/-) \sqrt{ \frac{9}{4} }
t=(+/-) \frac{3}{2}
t=(+/-)1.5
Since time cannot be negative, the solution is t=1.5 seconds.

Since 1.5 second is significantly less than 2 seconds, we can conclude that <span>2 seconds is not a reasonable answer to this model.</span>
6 0
3 years ago
Read 2 more answers
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