The largest triangle and the triangle whose hypotenuse is x are similar. So:
(21 + 4)/x = x/4
Cross multiply:
x^2 = 100
x = 10
Your answer is incorrect. It should be 10, not 20.
Answer:
I believe the answer is 0.571428571428571
Step-by-step explanation:
Answer:
The dimensions of the original rectangle are Length =12cm, Width=8cm
Step-by-step explanation
Let the length of the rectangle be x
Let the width of the rectangle be y
The perimeter of a rectangle is 40cm.
2(x+y)=40
Divide both sides by 2
x+y=20
If the length were doubled(2x) and the width halved(y/2), the perimeter would be increased by 16cm,i.e.(40+16)cm
Therefore:
Divide both sides by 2
From the first equation, x=20-y.
Substitute x=20-y into
Answer:
The equation of the line containing (4,2) and (3,5) in the slope-intercept form will be:
Step-by-step explanation:
Given the points




We know that the slope-intercept form of the line equation is

where m is the slope and b is the y-intercept
substituting m=-3 and the point (4, 2) to get the y-intercept i.e. b

2=(-3)4 + b
2 = -12 + b
b = 2+12
b = 14
Now, substituting b=14 and m=-3 in the slope-intercept form to determine the equation of a line in the slope-intercept.

y=(-3)x+(14)
y=-3x+14
Thus, the equation of the line containing (4,2) and (3,5) in the slope-intercept form will be:
Answer:
Step-by-step explanation:
True
7 X 9 X 6 = 378