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rewona [7]
3 years ago
7

Two vertices of a right triangle have the coordinates (−2, 5) and (9, 5) .

Mathematics
1 answer:
Neporo4naja [7]3 years ago
4 0
Well, I say its 11 since the distance between the two coordinates is 11. The picture shows what I did. 

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The office manager of a small office ordered 140 packs of printer paper based on average daily use, she knows that the paper wil
Mandarinka [93]

slope intercept form is y=mx+b

So slope intercept form is The office manager of a small office ordered 140 packs of printer paper based on average daily use, she knows that the paper will last about 80 days

(A) Lets make a table

X axis represents the Number of days paper used

y axis represents the packs of printer paper used

x            y

days      packs of printer paper used

0            0               (0 days , 0 packs used)

80          140           (in 80 days , 140 packs paper used)

The graph is attached below

(B) To find Equation of a line we use points (0,0)  and (80,140)

slope = \frac{y_2-y_1}{x_2-x_1} = \frac{140-0}{80-0} = \frac{7}{4}

y intecept is (0,0)

so b= 4

Slope intercept form of a line i y=mx + b

m is the slope and b is the y intercept

So slope intercept form of line becomes

y= \frac{7}{4} x

Standard form is Ax + By =C

y= \frac{7}{4} x

Multiply both sides by 4

4y = 7x

Now subtract 7x on both sides

-7x + 4y =0 is the standard form

(c) To find packs of printer paper  the manager expect to have after 30 days, Plug in 30 for x  and find out y

y= \frac{7}{4} x

y= \frac{7}{4}(30)= 52.5

Total 140 packs of printer paper

52.5 packs of paper used

Packs of paper remaining after 30 days = 140- 52.5= 87.5


8 0
3 years ago
Bob bought 8 hockey tickets for $59. Adult tickets cost $10 each and child tickets cost $3 each. How many adult tickets and how
alexdok [17]

Answer:

Bob bought 5 Adult tickets and 3 Child

Step-by-step explanation:

5 adult tickets = 50$

3 Child tickets= 9$

50$+9$= 59$

7 0
3 years ago
Read 2 more answers
For the equation 2(4+x)+(13+x)=3x+k which value of k will create an equation with no solutions. .A. x B. 3x .C 15 D. 21
Artist 52 [7]
<h3>Answer: choice C) 15</h3>

Simplify the left side to get

2(4+x)+(13+x)

2(4)+2(x) +13+x

8+2x+13+x

3x+21

------------

So the original equation

2(4+x)+(13+x) = 3x+k

turns into

3x+21 = 3x+k

------------

Subtract 3x from both sides

3x+21 = 3x+k

3x+21-3x = 3x+k-3x

21 = k

k = 21

-----------

If k = 21, then the original equation will have infinitely many solutions. This is because we will end up with 3x+21 on both sides, leading to 0 = 0 after getting everything to one side. This is a true equation no matter what x happens to be.

If k is some fixed number other than 21, then there will be no solutions. This equation is inconsistent (one side says one thing, the other side says something different). If k = 15, then

3x+21 = 3x+k

3x+21 = 3x+15

21 = 15 .... subtract 3x from both sides

The last equation is false, so there are no solutions here.

note: if you replace k with a variable term, then there will be exactly one solution.

6 0
3 years ago
You are charged 6.5% tax on a $42 purchace. what is the amount of tax
vodomira [7]
It's like: (6.5x42)/100
the answer is 2.73

8 0
3 years ago
. Equilibrium: If the number of persons who attend the club meeting this week is X, then the number of people who will attend ne
Artyom0805 [142]

Answer:

100

Step-by-step explanation:

In economics, for a firm to earn optimum profits, it is important that it achieves a long run equilibrium. We can transfer the same to the case here that for the club to achieve optimum attendance, it must achieve long- run equilibrium attendance.

The condition for Long Run Equilibrium is that:

Club meeting attendance this week = Club meeting attendance next week

X = 80 + 0.20X

X - 0.20X = 80

X = 80/0.8

X = 100.

The long- run equilibrium attendance for this club is 100.

5 0
3 years ago
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