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
Answer:
250 miles
Step-by-step explanation:
Your formula is d=r(t)
d=distance r=speed t=time
In this equation it is asking you how far will you travel if your speed is 50 miles per hour, and the time is 5 hours.
So, using the equation above insert the known numbers and it should look like this: d=50(5) ( distance is unknown / speed is 50 / time is 5 )
Now you can find the distance. All you do is multiply 50 times 5 which equals 250.
So the correct answer is C. 250 miles
Answer:
you got 12 more then your friend, 45-23
Step-by-step explanation:
Step-by-step explanation:
Given
Slope (m) = -5
Point
(x1 , y1) = ( 6 , 3)
So the equation is
y - y1 = m ( x - x1)
y - 3 = -5 ( x - 6)
y - 3 = -5x +30
5x + y = 30 + 3
5x + y = 33
5x + y - 33= 0
Which is the required equation.
Hope it will help you :)
Answer:
its 90,000
Step-by-step explanation:
just put the zeros together then multiply 3x3
