Answer:
y= -3/2x + 12
Step-by-step explanation:
When finding a perpendicular line you take your slope and make it the opposite (flip it and change the sign).
Slope originally=2/3
New slope= -3/2
Next we will use the point slope equation
y-y1=m(x-x1)
y1=y value
m=slope
x1=x value
y--6= -3/2(x-12) Since you have y minus negative 6 you get to change it to y+6
y+6= -3/2(x-12) Now distribute your slope to both terms inside the parenthesis.
y+6= -3/2(x) -3/2(-12)
y+6= -3/2x +18 Finally subtract 6 from both sides.
-6 -6
y= -3/2x + 12
Answer:
Step-by-step explanation:
l = 34 cm
height = 30 cm
radius = 16 cm
surface area of cone = πr (l +r)
=3.14 *16 (34 + 16)
=50.24*50
=2512 cm^2
volume of a cone = 
πr^2h
=*3.14*16^2 *30
=1.0466*256*30
=8037.888
=8037.89 cm^3
Answer:26
Step-by-step explanation:
Hi!
<h3>Divide by -10 on both sides. </h3>
-10x/-10 < -100/-10
<h3>The inequality sign flips because we are dividing by a negative number. </h3>
<u>x > 10</u>
<h2>The answer is A x > 10</h2>
Hope this helps! :)
-Peredhel
This is the concept of algebra: The answers to the questions will be as follows:
1. What is AD/AM in the simplest form:
AD/AB is the ratio of AD to AB. This will calculated as follows:
AD=9 units
AB=3 units
thus:
9/3=3
Hence, we conclude that the answer is D. 3
2] What is slope of BE/ slope of AE in simplest form:
slope=(Δy-axis)/(Δx-axis)
slope of AE
=(5-0)/(4-0)
=5/4
slope BE
slope=(5-0)/(4-3)=5/1=5
therefore the ratio of the two slope will be:
BE/AE
=5/(5/4)
=4
The answer is A.4
3. What is the value of x in the proportion (x-1)/5=(4x+2)/35?
To get the value of x we solve the above proportion:
(x-1)/5=(4x+2)/35
35(x-1)=5(4x+2)
35x-35=20x+10
putting like terms together we get:
35x-20x=10+35
15x=45
dividing both sides by 15
x=45/15
x=3
Hence the answer is B.3
4. What is the value of x in the proportion:
(x+1)/(x+3)=15/21
to get the value of x we solve the above:
first we begin by cross multiplying the proportion, this will give us:
21(x+1)=15(x+3)
21x+21=15x+45
putting like terms together we get:
21x-15x=45-21
6x=24
dividing both sides by 6 we get
x=4
∴ x=4
5. The lengths of the sides of a triangle are in extended ratio 3:10:12. The perimeter is 400 cm. What is the length of the longest side in cm.
solution:
Here we introduce the variable x such that the perimeter is:
3x+10x+12x=400
25x=400
x=400/25
x=16
The longest side will be:
12×16=192 cm
