Answer: 4
The given line has a slope of -1/4 as this is the number in front of the x. The general equation y = mx+b has m as the slope. So m = -1/4 is given
Flip the sign to get -1/4 turn into +1/4 or just 1/4
Then flip the fraction (aka reciprocal) to go from 1/4 to 4/1 and that simplifies to 4.
Multiplying the original slope (-1/4) and the perpendicular slope (4) will result in -1.
Answer:
Option D is correct.
13x = 39
Step-by-step explanation:
The system of equation is given:
....[1]
.....[2]
Multiply equation [1] by 5 to both sides we have;
.....[3]
Using elimination method:
Add [2] and [3] equations to eliminate y and solve for x, we have;
Divide both sides by 13 we get;
x = 3
Substitute x in [1] we have;
2(3)-y = -4
6-y = -4
Subtract 6 from both sides we have;
-y = -10
Divide both sides by -1 we have;
y = 10
⇒Solution: (3, 10)
Therefore, an equation can replace 3x+5y = 59 in the original system and still produce the same solution is,
13x = 39
We know that the area of a circle in terms of π will be πr². However the area with respect to the diameter will be a different story. The first step here is to find a function relating the area and diameter of any circle --- ( 1 )
For any circle the diameter is 2 times the radius,
d = 2r
Therefore r = d / 2, which gives us the following formula through substitution.
A = π(d / 2)² = πd² / 4
<u>Hence the area of a circle as the function of it's diameter is A = πd² / 4. You can also say f(d) = πd² / 4.</u>
Now we can substitute " d " as 4, solving for the area ( A ) or f(4) --- ( 2 )
f(4) = π(4)² / 4 = 16π / 4 = 4π - <u>This makes the area of circle present with a diameter of 4 inches, 4π.</u>
Answer: 121.52 square feets
Step-by-step explanation:
The room has the shape of a rectangle and its dimensions are 12.4 feet long and 9.8 feet wide. This means that dimension of the carpet is also 12.4 feet long and 9.8 feet wide. To replace the rectangular carpet with tiles, the area of the tiles must be equal to the area of the carpet. The area of the carpet is determined by length × width.
Length of the room or carpet = 12.4 feets
Width of the room or carpet = 9.8 feets
The number of square feets of tiles that Wes will need
=12.4 ×9.8 = 121.52 square feets
Answer:
1280
Step-by-step explanation:
rewrite (-8) times (-8) as an equivalent addition problem which is 8 times 8 = 64
take 64 then times it by 20 which is 64 times 20 equals 1,280
Hope this helps:)
