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kow [346]
3 years ago
11

X

Mathematics
1 answer:
slava [35]3 years ago
6 0

Answer:

Equation 1 x=-16

Equation 2 m=-3

Step-by-step explanation:

Equation 1

3x-x=-24-6

2x=-32

x=-32/2

x=-16

Equation 2

-2m=16-10

-2m=6

m=6/-2

m=-3

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Write the equation for a line perpendicular to y=-3x+18 that goes through the point (-12,6)
Hatshy [7]

Answer:

y=\frac{1}{3} x -14

Step-by-step explanation:

The equation of the line you will find should be in the form y =mx+c , where m is the gradient and c is the y intercept.

The gradient of a line that is perpendicular to a line [of a known gradient] is the negative reciprocal of the gradient of the first. i.e. if a is the known gradient and the perpendicular gradient is b, ab = -1. Therefore the -3b=-1 and b= 1/3

you can now write y = mx +c as y = 1/3x +c

As you have been given a coordinate, you can input these values into y= 1/3x + c

-12 = 1/3(6) +c

-12 - 2 = c

c = -14

hence the equation of the line is y= 1/3x -14

5 0
3 years ago
Quadrilateral GHand JK has vertices G(2, 3), H(8, 2), J(6, 8), K(3, 6). It is transformed according to the rule T(–4, –5). What
Shkiper50 [21]
(2,-3) because the 3 becomes a negative when transforming.
4 0
3 years ago
The number of right-handed students in a math class is nine times the number of left-handed students. The total number of studen
nirvana33 [79]
R - Right Handed 
L - Left Handed 

R = 9L ( the number of right handed kids is equal to having 9*number of left handed kids) 
9L + L = 30  ( since total number of people in class is 30) 
10L = 30 
( Divide by 10 both sides )
L = 3 

so... There are 3 Left Handed kids and 27 Right Handed kids ( since R = 9L , R = 9(3) = 27)

Hope this helped!
5 0
3 years ago
the ratio between length and breadth of a rectangle is 7 : 5 find its length and breadth if it its perimeter is 60 m ​
Furkat [3]

Answer:

length= 17.5 m , breadth = 12.5 m

Step-by-step explanation:

The ratio of length : breadth = 7 : 5 = 7x : 5x ( x is a multiplier )

Then

2l + 2b = perimeter ( l is length, b is breadth )

2(7x) + 2(5x) = 60

14x + 10x = 60

24x = 60 ( divide both sides by 24 )

x = 2.5

Then

length = 7x = 7 × 2.5 = 17.5 m

breadth = 5x = 5 × 2.5 = 12.5 m

6 0
3 years ago
A car travels 2 1/3 miles in 3 1/2 minutes at a constant speed. Write an equation to represent the car travels in miles and minu
Korvikt [17]

Answer:

d = 0.666t , where d is in miles and t is in minutes.

d = 39.94h, where d is in miles and h is in hours.

Step-by-step explanation:

A car travels 2\frac{1}{3} = 2.33 miles in 3\frac{1}{2} = 3.5 minutes at a constant speed.

Let the relation between the distance (d) traveled by car in miles after traveling t minutes is d = kt ......... (1)

Now, putting d = 2.33 miles and t = 3.5 minutes in the above equation we get,

2.33 = 3.5k

⇒ k = 0.666 (Approx.)

So, the equation (1) becomes d = 0.666t. (Answer)

Let us assume that the relation between the distance (D) traveled by car in miles after traveling h hours is d = Kh ............ (2)

Now, putting D = 2.33 miles and T = 3.5/60 = 0.058 hours in the above equation, we get

2.33 = 0.058K

⇒ K = 39.94

So, the equation (2) we get, d = 39.94h (Answer)

3 0
3 years ago
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