Let's do it step by step:
First we need to understand that moving upwards would be addition to y-coordinates, while moving downwards would be deduction to the y-coordinates.
Moving to rightwards would be addition to x-coordinates and leftwards would be deduction to x-coordinates.
As we moved down by 1 unit and up for 2 units, it means that we are originally upward for one unit and downward by 2 units, which makes downwards for 1 units and would be -1 to the y-coordinates:
(-3,1 -1)
=(-3,0)
Therefore the start would be (-3,0).
Hope it helps!
Answer is 10
Scale factor is 2.5 (30/12)
So you have to do 4 multiplied by 2.5 to get x on the bigger shape.
The answer would be 3.7 x 10 to the -6th power.
Answer:
B and C
Step-by-step explanation:
In order to know your x and y intercept, first rearrange your equation in the form ax+by=c
<u>NB </u> c should always be one so if you rearrange and c is not one, divide the whole equation by the no. represented by c, then to know your x and y intercepts look at the reciprocal of the coefficients of x and y
For example
B. -4x+2y= -6
divide the whole equation by -6 to get
2/3x-1/3y=1
hence the x intercept will be the reciprocal of the coefficient of x which is 3/2
y intercept will be the reciprocal of the coefficient of y which is -3
so if you look at the line, the equation applies
The same will apply to C
Answer:
700 apples
Step-by-step explanation:
Let
x = Total number of apples in the cart
Percentage of apples sold = 40%
Number of apples sold = Percentage of apples sold * Total number of apples in the cart
= 40% * x
= 0.4 * x
= 0.4x
Number of apples left in the cart = 420
Total number of apples in the cart = Number of apples sold + Number of apples left in the cart
x = 0.4x + 420
x - 0.4x = 420
0.6x = 420
x = 420/0.6
x = 700
x = Total number of apples in the cart = 700
Lawrence started with 700 apples
