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aleksandr82 [10.1K]
3 years ago
8

18 POINTS PLUS BRAINLIEST FOR CORRECT ANSWER

Mathematics
1 answer:
ankoles [38]3 years ago
7 0
The line y = -2 is a horizontal line through -2 on the y axis.

Anything perpendicular to this horizontal line will be a vertical line. All vertical lines are of the form x = k where k is some fixed value.

In this case, the answer is x = 4 because want the vertical line to go through (4,-2). In other words, we want all points on the vertical line to have x coordinate of 4. 

Side Note: the slope of y = -2 is 0 while the slope of x = 4 is undefined. 
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If two points known on the line AB in the coordinate plane is (7,15) and (18,42), calculate the following..
Ksju [112]

<u>Answer:</u>

  • Slope = 27/11
  • AB = 29.15 u

<u>Step-by-step explanation:</u>

<u>Given :- </u>

  • Two points are given to us .
  • The points are A(7,15) and B(18,42)

<u>To Find</u> :-

  • The slope of the line .
  • The length of line AB .

We can find the slope of the line passing through the points ( x_1,y_1) and ( x_2,y_2)as ,

\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}

  • Plug in the respective values ,

\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}

<u>Hence the slope of the line is 27/11 .</u>

\rule{200}2

<u>Finding the length of AB :-</u>

  • We can find the distance between them by using the Distance Formula .

\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 }  \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }

<u>Hence the length of AB is 29.15 units .</u>

5 0
3 years ago
33% of what number is 1.45? Round to the nearest tenth.
tatuchka [14]

Take the unknown number as 'y'.

=》33% = 33/100

=》1.45 = 145/100

33/100 × y = 1.45

33/100 × y = 145/100

33y = 145/100 × 100/1

33y = 145

y = 145/33

y = 4.39

______

RainbowSalt2222 ☔

3 0
3 years ago
Read 2 more answers
Need help with this question -9×3-4^2/ 3^2 + 2^2
Vesnalui [34]
-9 × 3 - 4² = -27 - 16 = -43

3² + 2² = 9 + 4 = 13

(-9 × 3 - 4²)/(3² + 2²) = -43/13 = -3 4/13
3 0
3 years ago
216,016 divided by 368
kifflom [539]

Answer:

587

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Two sides of a triangle measure 10cm and 18cm . Which could be the measure of the third side of the triangle?
ValentinkaMS [17]
It cannot be 30, because the sum of two sides should be more than third side
-not D
10+18=28 <30

it cannot be 6 +10 < 18

it cannot 8
8+10=18

so it is has to be C) 12
12+18>10
10+12>18
10+18>12
answer  C. 12 cm

8 0
3 years ago
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