Answer:
(x , y) = ( -4 , 1)
Step-by-step explanation:
2x + 7y = -1 --------eqn 1
4x - 3y = -19 ----------eqn 2
Step 1: let's pick eqn 1, to make y the subject of the formula
2x + 7y = -1
7y = -1 - 2x
Divide both sides by 7, to make y the subject of the formula
7y/7 = (-1 - 2x)/7
y = (-1 - 2x) / 7
Step 2: substitute y into the equation 2
4x - 3y = -19
4x - 3(-1 - 2x)/7 = -19
Open the bracket
-3 * -1 = +3
-3 * -2x = +6x
4x +( 3 + 6x)/7 = -19
LCM = 7
(28x + 3 + 6x)/7 = -19
(34x + 3)/7 = -19
Cross multiply
34x + 3 = 7 * -19
34x + 3 = -133
34x = -133 - 3
34x = -136
Divide both sides by 34,to get the value of x
34x/34 = -136/34
x = -4
Step 3: substitute x = -4 into eqn 1
2x + 7y = -1
2(-4) + 7y = -1
-8 + 7y = -1
7y = -1 + 8
7y = 7
Divide both sides by 7, to the value of y
7y/7 = 7/7
y = 1
(x , y) = ( -4 , 1)
So basically you know that 25 x 17 is 425. So all you would do is estimate! It's super simple. Just do 25 x 17, then put your estimate in the estimate box. 5 or higher it goes up, 4 or lower it goes down, so for your estimate I would probably put 430. Hope this helps! :)
Distance travelled in 30 minutes = 1/3 miles
Distance travelled in 1 minute = 1/(3 × 30)
Distance travelled in 60 minutes = (1 × 60)/(3 × 30)
= 2/3 miles
Answer:
; 
; 
Step-by-step explanation:
Given
Required
Arrange the angles from smallest to largest
First, we need to determine the value of x.
Since, it is a triangle:
Substitute values for A, B and C
Collect Like Terms
Solve for x
Solve for A, B and C
From Smallest to Largest, we have:
; ;
Answer:
width = 1.8 in
length = 3.6 in
height =
Step-by-step explanation:
A designer is making a rectangular prism box with maximum volume, with the sum of its length, width, and height 8 in
Let l , w and h are the length , width and height
Plug it in the first equation
volume the box is length times width times height
To get maximum volume we take derivatived
set the derivative =0 and solve for w
width = 1.8 in
length = 2w= 3.6 in
height =
