If you have a rectangle that is 2 by 2 and you dilate it by 2, the sides are now 4 x 4. So:
If you dilate it by a factor of 2, the area is 2^2 (4) times as great
A factor of 3 would have an area of 9 times as much.
Conclusion: square the scale factor to get how much greater the area would be.
Answer:
Step-by-step explanation:
Ix-4I+3=3
subtracting 3 from both sides (*as per general practice in equations unknown are on one side and constants on the other side or simply taking 3 to other side of the equation)
Ix-4I+3-3=3-3
Ix-4I=0
x-4=0
x-4+4=0=4
x=4
checking:
I4-4I+3=3
I0I+3=3
3=3
Answer:
7 feet and 24 feet
Step-by-step explanation:
In the right triangle, the hypotenuse is 25 feet long. The area of this triangle is 84 square feet.
Let x feet and y feet be the lengths of triangle's legs.
By the Pythagorean theorem,
The area of the right triangle is half the product of its legs, thus
Solve the system of two equations:
From the second equation:
Substitute it into the first equation:
The length of the leg cannot be negative, so
Answer:
Scott will have to do 44 practices
Step-by-step explanation:
Let X be the number of yards per practice.
Let P = number of practice Scott needs to do.
Multiply 20 yards by 4 sprints
X = 20yards × 4 sprints = 80 yards
Number of yards he had to sprint per practice will be:
1 mile = 1760 yards
Converting from miles to yards
X = 1760 × 2 miles = 3520 yards
Number of practice,P Scott need to do = (3520/80)yards
Number of Practice,P = 44
To get the speed of growth of plant we proceed as follows;
rate=(distance)/(time taken)
distance( length) of growth of the plant in 14 days is 3.6 m.
1 day=86400 sec
14 days=86400x14=1,209,600 sec
1 m=1000000 micrometer
3.6 m=3600000 micrometer
thus the rate of growth will be:
3600000/1209600
=2.9762 micrometers per second
