Answer:
The family's average rate of travel for the day was 59.0 MPH.
Step-by-step explanation:
From 10:15AM to 4:45PM, they travelled a distance of 383.5 miles and a total of 6 hours and 30 minutes.
There are 60 minutes in an hour. 30 minutes translates into 1/2 an hour or .5
So, 6.5 hours and a total distance of 383.5 miles.
Velocity (MPH) = Distance (in miles) / Time (in hours)
MPH means Miles Per Hour
Variables:
Velocity (MPH) = x
Distance (in miles) = 383.5
Time (in hours) = 6.5
Plug in the variables into the formula
x = 383.5 / 6.5
Divide
x = 59.0 MPH
So the slope intercept form is y=mx+b where m is slope and b is y intercept
so 16x+2y=12
subtract 16x from both sides
2y=12-16x
divide both sides by 2
y=-8x+6
slope is -8 and y intercept is 6
Answer: (x - 4)(x - (i))(x + (i))
Step-by-step explanation:
This factoring job lends itself well to synthetic division. Looking at the constant term, -4, I came up with several possible roots based upon -4: {±1, ±2, ±4}. I chose +4 as my first trial root. Sure enough, there was a zero remainder, which indicated that 4 is a root of this polynomial and (x - 4) is a factor. The coefficients of the trinomial quotients are 1 0 1, which indicates a quotient of x^2 + 1, which has the following roots: x = +(i) and x = -(i)
So the complete factorization of the polynomial is (x - 4)(x - (i))(x + (i)).
4 ) 1 -4 1 -4
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Answer:
1
The percentage of the area inside the square that is shaded is 55%.
<h3>What is the perimeter of the square?</h3>
Given:
The perimeter of the square is 20Cm
Each side of the square is = 5Cm
Area = ( Length x Width )
(5 x 5) = 25 =Area
Area = 25
Area of triangle 1 = (1/2) x 5 x (5 - 3) = 5 cm²
Area of triangle 2 = (1/2) x 5 x (5 - 3.5) = 6.25 cm²
Area of shaded portion = 25 - (5 + 6.25) = 13.75 cm²
Percentage of shade portion
= (13.75 cm² / 25 cm²) x 100%
= 55%
The percentage of the area inside the square that is shaded is 55%.
Learn more about area;
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