Answer:
Step-by-step explanation:
1) In the first equation, - 4x was added to both sides of the equation. This is expressed as
6x - 4x + 9 = 4x - 4x - 3
2x + 9 = - 3
2) In the second equation, both sides of the equation was multiplied by - 1/4. This is expressed as
- 4 × - 1/4(5x - 7) = - 18 × - 1/4
5x - 7 = 4.5
3) In the third equation, - 4 was added to both sides of the equation. This is expressed as
8 - 10x = 7 + 5x
8 + (- 4) - 10x = 7 + (-4) + 5x
8 - 4 - 10x = 7 - 4 + 5x
4 - 10x = 5 + 5x
4) In the fourth equation, both sides of the equation was multiplied by - 4. This is expressed as
- 5x/4 × - 4 = 4 × - 4
5x = - 16
5) In the fourth equation, both sides of the equation was multiplied by 1/4x and 1/4. This is expressed as
12x × 1/4x + 4 × 1/4 = 20x × 1/4x + 24 × 1/4
3x + 1 = 5x + 6
This is an obtuse triangle because one angle of it is greater than 90 degrees :)
Write the standard form of a line, the slope is 5/2 since they are parallel and then replace the coordinates.
y-(-29) = 5/2 (x-(-6)) -> y=5/2x-14
Answer:
10,9.75,9.5,9.25,9, 8.75 , 8.5, 8.25, 8...
Step-by-step explanation:
Subtract 0.25 from each to find the next number
Answer:
Marion bought 6 frog lures and 8 lizard fishing lures.
Step-by-step explanation:
Let
represent frog lures and
represent lizard lures.
The total packages Marion bought is

If she bought frog lures in packages of 4 and lizard lures in packages of 6 for a total of 72 lures, then

We make
the subject in equation 1 and put it into equation 2 to get;

We put equation 3 into equation 2 to get;


We expand the bracket to get;



We put
into equation 3 to get;


Therefore Marion bought 6 frog lures and 8 lizard fishing lures.