Answer:
The number is 162.
Step-by-step explanation:
Let's let the number =n
So, we can set up an equation.
(n/9) is a number divided by 9.
Its "quotient" (the answer to that expression) is multiplied by 6.
6(n/9)
The product (answer) is 108.
6(n/9) = 108.
Then we can solve.
6(n/9) = 108
(n/9) = 18
n = 162
Answer:
Perpendicular bisector theorem
Step-by-step explanation:
The illustration of the theorem is:
If point B is a perpendicular bisector of Line AC and the length of AC is 10cm
Then
Where
--- Perpendicular bisector
So, the equation becomes
Recall:
Answer:
4 units
Step-by-step explanation:
The area (A) of a trapezoid is calculated using the formula
A = 
h(a + b)
where h is the height and a, b the bases
here A = 46, a = 6 and b = 17, hence
46 = h(6 + 17) ( multiply both sides by 2 )
92 = h(23) ← divide both sides by 23 )
h = 
= 4 units
Answer:
-8/3
Step-by-step explanation:
First find the slope of the line
3x+y = 1
Solve for y
y = -3x+1
This is in slope intercept form
y = mx+b where m is the slope
The slope is -3
The slopes of perpendicular lines multiply to -1
m* -3 = -1
m = 1/3
The line perpendicular has a slope of 1 / (3) = 1/3
The sum is -3 + 1/3
-9/2 + 1/3 = -8/3
Answer:
Graphically. As shown below, the roots of a polynomial are the values of x that make the polynomial zero, so they are where the graph crosses the x-axis, since this is where the y value (the result of the polynomial) is zero. The roots are the two green dots.
Step-by-step explanation:
