Answer:
481
Step-by-step explanation:
Lets say width = x
Length = x+24
Perimeter is 100 so
100=x+24+x+24+x+x
100=4x+48
100-48=4x
52=4x
x=13
So width = 13
Length = 37
37x13=481
Answer:
Step-by-step explanation:
Part A:
We have two equations in the given question:
y=8x and y=2x+2
Then these two equations will intersect at a point where y is same fro both the equations:
In equation y=8x we will exchange y with the other equation which is y=2x+2 then we would have 8x=2x+2..
Part B:
8x = 2x + 2. Take the integer values of x between −3 and 3
x= -3
8(-3)=2(-3)+2
-24=-6+2
-24= -4
It is false
Now plug x= -2
8(-2)=2(-2)+2
-16 = -4+2
-16 = -2
This is false
Now plug x= -1
8(-1)=2(-1)+2
-8 = -2+2
-8=0
It is false
Now plug x= 0
8(0)=2(0)+2
0=0+2
0=2
It is false
Now plug x= 1
8(1)=2(1)+2
8=2+2
8=4
False
Now plug x= 2
8(2)=2(2)+2
16=4+2
16=6
False
Now plug x=3
8(3)=2(3)+2
24=6+2
24=8
It is false
It means there is no solution to 8x=2x+2 for the integers values of x between −3 and 3
Part C:
Plot the two given functions on a coordinate plane and identifying the point of intersection(values of the variables which satisfy both equations at a particular point) of the two graphs.
The graph is attached. The point of intersection at x =0.333 and value of y = 2.667....
Answer:
a²+b²=c²
7.5²+9²=c²
137.25=c²
√137.25=c²
11.72.... = c
The Radius of the circle is approximately 11.72cm
Step-by-step explanation:
Using this data. Create a Triangle with the Chord and Center of the dot. We know the distance between the chord and center which is one length of one of the sides.
We split the chord from the intersecting line from the center to the chord making the second line being 7.5cm
After We draw a line from the center of the circle to where the chord meets to the edge of the circle to create the triangle
We now have 2 measurements and can use Pythagorean Theorem to determine the radius from the missing length of the triangle.
Step-by-step explanation:
Volumeof cube = s³
= 5³
=125cm³
Surface area of cube = 6•s²
= 6 x 5²
= 6 x 25
= 150cm²
Answer:
no
Step-by-step explanation:
y=mx+b
applied to the information given:
3y=x+6,
divide both sides by 3
y=1/3x+2
slope is 1/3