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Anni [7]
3 years ago
8

1 - 4 please help !!!!

Mathematics
1 answer:
dusya [7]3 years ago
3 0

We can use the slope formula for each of these.

\frac{y.2 - y.1}{x.2 - x.1} = m

1. 5 - 1  / 4 - 2

4 / 2

2

The slope is 2, and it is rising because it is positive.


2. -5 - 0 / 3 - (-1)

-5 / 4

The slope is -5/4, and it is falling because it is negative.


3. 1 - 1 / -3 - 2

0 / -5

0

The slope is 0, and it is a horizontal line. The value of y is not changing per value of x.


4. -5 - 2 / -1 - (-1)

-7 / 0

Undefined

The slope is undefined because it fails the vertical line test.

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A theater group made appearances in two cities. The hotel charge before tax in the second city was $1000 lower than in the first
Artyom0805 [142]

Answer:

Let x = the charge in 1st city before taxes

Let y = the charge in 2nd city before taxes

 

 

Set up equation before taxes.

 

y = x - 1500        eq1

 

 

Set up equation for total tax paid.

 

0.065x + 0.06y = 378.75         eq2

 

 

Substitute eq1 into eq2.

 

0.065x + 0.06(x - 1500) = 378.75

0.065x + 0.06x - 90 = 378.75

0.125x - 90 = 378.75

0.125x = 468.75

       x = 3750

 

Substitute this value of x into eq1.

 

y = 3750 - 1500

y = 2250

 

 

The hotel charge in city one is $3750 and the hotel charge in city two is $2250

3 0
3 years ago
Jim began a 165 mile bicycle trip to build up stamina for a triathlete competition unfortunately his bike chain broke so he fini
denpristay [2]

Answer: Approximately 4.7 hours.

Step-by-step explanation:

He rode the bicycle for some time before it broke down and he walked the remaining distance. This means that Jim covered a total of 165 miles by riding at a speed of 35 miles per hour and walking at a speed of 3 miles per hour.

Let x = the distance covered by riding the bicycle.

Let y = the distance covered by walking.

Time = distance /speed

Time he used in riding would be x/35

Time he used in walking would be y/3

Since the entire trip took 7 hours,

x/35 + y/3 = 7

3x + 35y = 735 - - - - - - - - 1

Total miles covered is 165. Therefore,

x + y = 165 - - - - - - - - -- - -2

Substituting x = 165-y into equation 1, it becomes

3(165-y) + 35y = 735

495-3y + 35y = 735

-3y + 135y = 735-495

132y = 240

y = 240/132

y = 1.81m

x = 165 - 1.81 = 163.19

Amount of time that he spent on the bicycle will be

x/35 = 163.19/35

= 4.66

Approximately 4.7 hours.

7 0
3 years ago
Line segment AB has vertices A(-3, 4) and B(1, -2). A dilation centered at the orgin is applied to AB. The image has vertices A(
bixtya [17]

Answer:

option 2

Step-by-step explanation:

consider the coordinates A (- 3, 4 ) and A' (- 1, \frac{4}{3} )

since the dilatation is centred at the origin, then corresponding coordinates are multiples/ divisors of each other, then image to original gives scale factor.

scale factor = \frac{A'}{A} = \frac{-1}{-3} = \frac{1}{3} and \frac{\frac{4}{3} }{4} = \frac{1}{3}

similarly B (1, - 2 ) and B' (\frac{1}{3}, - \frac{2}{3} )

\frac{\frac{1}{3} }{1} = \frac{1}{3} and \frac{-\frac{2}{3} }{-2} = \frac{1}{3}

4 0
2 years ago
42 is 64% of what number
steposvetlana [31]
Answer: x = 65.63
Explanation:
We have, 64% × x = 42 or, 64/100 × x = 42
Multiplying both sides by 100 and dividing both sides by 64, we have x = 42 × 100 64
x = 65.63

4 0
2 years ago
Read 2 more answers
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Answer:

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4 0
3 years ago
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