Answer:
10 cm
Step-by-step explanation:
From the diagram,
Applying,
lw = 5/2(bh)..................... Equation 1
Where l = length of the rectangle, w = width of the rectangle, b = base of the triangle, h = height of the triangle.
make w the subject of the equation
w = 5(bh)/2l............... Equation 2
From the diagram,
Given: l = 12 cm, b = 6 cm, h = 8 cm
Substitute into equation 2
w = 5(6×8)/(2×12)
w = 10 cm
Hence the width of the rectangle is 10 cm
1 meter is 100 centimeters, therefore Alana jumped higher by 32 centimeters.
132-100=32
Point slope or standard form? Standard is y=0-+1, point is y=1
Answer:
so both tables are proportional
1. in the green table
y divided by x =
1/5 for each row
2. in the blue table
y divided by x =
2/5 for each row
Step-by-step explanation:
/ means divided by
divide y by x
for both tables
in each table
if y divided by x
show the same number
for every row
then its proportional
1. in the green table
y divided by x =
1/5 for each row
2. in the blue table
y divided by x =
2/5 for each row
so both tables are proportional
Right now, we are given the standard form of the line: ax + by = c
a = 6, b = -3, c = 12
If we use algebra to to change it into its point-slope form, we can easily identify the slope of the equation.
6x - 3y = 12
-3y = 12 - 6x
- 3y = -6x + 12
3y = 6x - 12
3y/3 = (6x - 12)/3
y = 2x - 4
Now the equation is in point-slope form: y = mx + b where m is the slope.
Since m=2, the slope of the line is 2.
A shortcut to find the slope of a line in standard form is m = -a/b
Using the same equation as above, 6x - 3y = 12 a = 6, b = -3
-6/(-3) = 2
