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jeka57 [31]
3 years ago
14

Find the slope of the line that passes through each pair of points.

Mathematics
1 answer:
Leno4ka [110]3 years ago
3 0

Answer:

The equation of the line is y = 6/7x + 2/7

Step-by-step explanation:

In order to find this, we first need to find the slope. For that we use slope intercept form.

m(slope) = (y2 - y1)/(x2 - x1)

m = (2 + 4)/(2 + 5)

m = 6/7

Now that we have this, we can use the slope and either point in slope-intercept form to get the equation.

y - y1 = m(x - x1)

y - 2 = 6/7(x - 2)

y - 2 = 6/7x - 12/7

y = 6/7x + 2/7

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A lawyer charges for her services based on the number of hours worked. The expression gives the total cost for h hours is 200h+2
zhannawk [14.2K]
H is the number of hours worked. So the expression 200h+250 is 200 times the number of hours plus 250.

Here's a few computations using different values for h

1 hour --> (200)(1)+250 = 450
2 hours --> (200)(2) + 250 = 650
3 hours --> (200)(3)+250 = 850
10 hours --> (200)(10)+250 = 2250

As you can see the 250 is fixed. It gets added to the cost no matter how many hours the lawyer works. This is most likely a flat fee. Just to meet the lawyer you pay $250.

The 200 gets multiplied by the hours worked. So the 200 is an hourly rate. The more hours the lawyer works, the more he gets paid because this part of the expression depends on the hours worked.

Thus, an interpretation of the expression 200h + 250 is that the lawyer charges a fee of $250 per consultation and an additional $200 per hour on top of that.
4 0
3 years ago
You plant a rectangular rose garden along the side of your garage. You enclose 3 sides of the garden with 40 feet of fencing. Th
solmaris [256]

Let's assume

length of rectangle =L

width of rectangle =W

You enclose 3 sides of the garden with 40 feet of fencing

so, we get

L+2W=40

now, we can solve for L

L=40-2W

we know that

area of rectangle is

A=L*W

100=L*W

now, we can plug

100=(40-2W)*W

now, we can solve for W

-2W^2+40W-100=0

we can use quadratic formula

W=\frac{-40+\sqrt{40^2-4\left(-2\right)\left(-100\right)}}{2\left(-2\right)}

W=\frac{-40-\sqrt{40^2-4\left(-2\right)\left(-100\right)}}{2\left(-2\right)}

we can take anyone value ..because both are giving positive value

first dimensions:

W=2.929

now, we can find L

L=40-2*2.929

L=34.142

so, length is 34.142feet

width is 2.929 feet

Second dimensions:

W=17.071

now, we can find L

L=40-2*17.071

L=5.858

so, length is 5.858feet

width is 17.071 feet



6 0
3 years ago
Write an equation perpendicular to the line y = 3x + 5 through the point (6, -5). State your answer as y=mx+b.
liubo4ka [24]

Answer:

y=(-1/3) x - 3

Step-by-step explanation:

A line that is perpendicular to it has a slope that is an opposite reciprocal, which in this case is -1/3.  Now you use point slope form which is y-y1=m(x-x1) that would be y+5=-1/3(x-6).  Distribute the -1/3 and get y+5= -1/3 x+ 2.  Subtract 5 from both sides and get y=-1/3 x - 3

3 0
3 years ago
How does 3.71 round up to 3.7​
jeka57 [31]

Answer:

Step-by-step explanation:

cuz 7 is greater then 5

3 0
3 years ago
Ebonie invests in $2500 today in an account earning 7%. How much will she have in 5 years?
nikdorinn [45]

Answer:

Amount she Receive in 5 years = $3506.37

Step-by-step explanation:

Given in question as

Ebonie invests amount in account = P = $2500

The interest rate she will have = 7%

The amount will keep in account for 5 years

Now we apply compound interest (CI ) to determine how much she will receive after 5 years ,

So , for CI

Amount = principal ( 1 + \frac{Rate}{100} ^ T     ,where T is Time

So, A = 2500 ( 1 +\frac{7}{100})^5

Or, A = 2500 (1.40255)

Or, A = $3506.37

Hence Amount she will receive $ 3506.37  Answer

3 0
3 years ago
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