In standard form the two equations are
7x +y = 5
7x +y = -5
The equations describe lines that are parallel.
Answer:
The three numbers are 341, 342, and 343
Step-by-step explanation:
We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 1026. Therefore, you can write the equation as follows:
(X) + (X + 1) + (X + 2) = 1026
To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:
X + X + 1 + X + 2 = 1026
3X + 3 = 1026
3X + 3 - 3 = 1026 - 3
3X = 1023
3X/3 = 1023/3
X = 341
Which means that the first number is 341, the second number is 341 + 1 and the third number is 341 + 2. Therefore, three consecutive integers that add up to 1026 are 341, 342, and 343.
341 + 342 + 343 = 1026
We know our answer is correct because 341 + 342 + 343 equals 1026 as displayed above.
Answer:
Slope (m) =
ΔY
ΔX
=
1
4
= 0.25
θ =
arctan( ΔY ) + 180°
ΔX
= 194.03624346793°
ΔX = 1 – 5 = -4
ΔY = 2 – 3 = -1
Distance (d) = √ΔX2 + ΔY2 = √17 = 4.1231056256177
Equation of the line:
y = 0.25x + 1.75
or
y =
1 x
4
+ 7
4
When x=0, y = 1.75
When y=0, x = -7
Step-by-step explanation:
Answer:
-1/4
Step-by-step explanation:
Take two points on the line
(-4,-1) and (0,-2)
Using the slope formula
m = (y2-y1)/(x2-x1)
= ( -2 - -1)/( 0 - -4)
= (-2+1)/ ( 0+4)
-1/4
For #11, the answer is the tall sipper thing. The formula for area in a cylinder is r squared times height. you did diameter squared, not radius squared