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blondinia [14]
3 years ago
6

What is the slope of y =2x-1​

Mathematics
2 answers:
sergey [27]3 years ago
8 0

Answer:

The slope of this equation is 2.

Step-by-step explanation:

In a y=mx+b equation, the slope is 'm,' so whatever number is before x in an equation like this is the slope.

So y=mx+b -> y=2x+b -> 2=m, b=-1

katen-ka-za [31]3 years ago
5 0

Answer:

<h2>The slope m = 2</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

<em>y = mx + b</em>

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

<em />

We have the equation:

<em>y = 2x - 1 → m = 2, b = -1</em>

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The scale on a map is 1: 75 000. (a) Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map.
finlep [7]

Answer:

a. 1 200 000 km

b. 0.000 773 cm

c. 67 500 000 000 km²

d. 0.000 000 016 cm²

Step-by-step explanation:

a. Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map.

Since the scale is 1 : 75000 that is 1 cm : 75000 km, we want to find the actual distance of 16 cm on the map. Let x be the actual distance in km.

So, 1 cm : 75000 km = 16 cm : x km

So, 1 cm/75000 km = 16 cm/x km

Thus x km = 16 cm × 75000 km/1 cm = 1 200 000 km

(b) Calculate length of a road on the map which is 0.58 km.

Let y be the length of road on the map. So, using our scale

1 cm : 75000 km = y cm : 0.58 km

So, 1 cm/75000 km = y cm/0.58 km

Thus y cm = 0.58 km × 1 cm/75000 km = 0.000 773 cm

(c) Calculate, in km², the ACTUAL area of a lake which is 12 cm2 on the map.

Since the scale is 1 : 75000 , the scale for the area would be the square of this. So, 1² : 75000² = 1 : 5 625 000 000 which is 1 cm² : 5 625 000 000 km²

Let z be the actual area of the lake.

So,  1 cm² : 5 625 000 000 km² = 12 cm² : z km²

So, 1 cm²/5 625 000 000 km² = 12 cm²/z km²

Thus z km² = 12 cm² × 5 625 000 000 km²/1 cm² = 67 500 000 000 km²

(d) Calculate the area of a play field on the map which has has an actual area of 90 km².

Let a represent the area of the play field on the map. Using our scale for the area,

1 cm² : 5 625 000 000 km² = a cm² : 90 km²

So, a cm² = 90 km² × 1/5 625 000 000 km² = 0.000 000 016 cm²

4 0
2 years ago
Find the area of the shaped region
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Step-by-step explanation:

A = 0/360 ×π×r^2

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=142.55 yd^2

5 0
3 years ago
What is the slope of the line in the graph?<br> -4/3 <br> -3/4<br> 3/4<br> 4/3
AnnyKZ [126]

Answer:

there's no graphed pictured. but slope is rise/ run so just count the boxes between the points on the line. Up and down is the numerator and sideways is the denominator. If its decreasing from left to right it's negative, and if it's increasing left to right then it's positive

3 0
2 years ago
What are four consecutive numbers if the sum is 604
antiseptic1488 [7]

Answer:

149.5, 150.5 , 151.5, 152.5

Step-by-step explanation:

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Divide by 4

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Check Your Work:

149.5+150.5+151.5+152.5 = 604

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2 years ago
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