Given:
The area of the rectangle RSTU =
Length of the rectangle RSTU =
To find:
The width of the rectangle RSTU.
Step-by-step explanation:
We have,
Splitting the middle term, we get
We know that, the area of a rectangle is
Area of rectangle is product of (4x+5) and (9x-5).
Since (4x+5) is the length of the rectangle, therefore, (9x-5) is the width of the rectangle RSTU.
Answer: Part A: y = x + 6
Part B: y = 10
The attachment shows the graphs of these equations.
Step-by-step explanation:
Find the slope, and then the y-intercept. Then write the equation in Slope-intercept form . y= mx+b
m is the slope. b is the constant, the y-intercept.
First find the slope: rise/run
Rise is the difference in y-values 10-7 = 3
Run is the difference between x-values 4 - 1 = 3
The Slope is 3/3 simplify:
m = 1
Use this calculated slope with values of y and x from either of the given coordinates and calculate b
y = mx + b
10 = 1(4) + b <em>The 1 is not necessary, its "implied" and invisible as a factor in multiplication</em>
10 = 4 + b . subtract 4 from both sides 10 - 4 = 4 - 4 + b
6 = b
Put these calculated values for m and b into the slope-intercept equation"
y = x + 6
_________
Part B: Step-by-step explanation: Slope-intercept form . y= mx+b
First find the slope: rise/run
Rise is the difference in y-values 10 - 10 = 0
At this point you know that if the slope is 0, it is a horizontal line intersecting the y-axis at the y-value, 10
That graphed line will pass through All x-values.
Answer:
Option D is the correct answer.
Step-by-step explanation:
Initial height = 4 feet
Given that the height of the tree increased by a constant amount each year for the next 6 years. At the end of the 6th year, the tree was 1/5th taller than it was at the end of the 4th year.
Let the rate of growing each year be g.
After 6 years height of tree = 4 + 6g
After 4 years height of tree = 4 + 4g
At the end of the 6th year, the tree was 1/5th taller than it was at the end of the 4th year.
That is
Option D is the correct answer.