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2 years ago

Write the equations of 2 straight lines which are perpendicular to y = -3x +0.5.

Mathematics

1 answer:

olchik [2.2K]2 years ago

3 0

Answer:

y = (1/3)x + 7

y = (1/3)x - 15

These are two examples out of an unlimited number of possibilities.

Step-by-step explanation:

The slope of this given line is -3. Any new line perpendicular to this one is the negative reciprocal of -3: 1/3.

The slope-intercept form is y = mx + b. Here m = 1/3, so the revised form is

y = (1/3)x + b.

Two straight lines perpendicular to the given line are easily found by selecting two different values for b:

y = (1/3)x + 7

y = (1/3)x - 15

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HELP!!!! Choose the correct answer. Which expression, when evaluated,

blagie [28]

We will check each options and verify it

(a)

$18-2m$

we can plug m=2

$18-2\times 2$

$18-4$

$14$

so, this is FALSE

(b)

$7x-\frac{x}{3} >19$

we can plug x=3

$7\times 3-\frac{3}{3} >19$

$21-1 >19$

$20 >19$

so, this is TRUE

(c)

$6x-1>4x+5$

we can plug x=3

$6\times 3-1>4\times 3+5$

$18-1>12+5$

$17>17$

so, this is FALSE

(d)

$2x^2-3x+1$

now, we can plug x=2

$2(2)^2-3(2)+1$

$8-6+1$

$3$

So, this is FALSE

8 0

3 years ago

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

3 years ago

I need help! If this correct 22?

Gala2k [10]

Answer: Yes its correct

6 0

1 year ago

4(x - 2) = 2x + 3(x - 5)

yaroslaw [1]

Answer:

x=7

Step-by-step explanation:

4(x-2) = 2x+3(x-5)
4x-8 = 2x+3x-15
4x-8 = 5x -15
-x = -7
x = 7

8 0

3 years ago

Whats the answer worth 20 points

mote1985 [20]

Answer:

-2

Step-by-step explanation:

-15x times -2 equals 30

3 0

3 years ago

Read 2 more answers