Answer:
8.428
Step-by-step explanation:
59 divided by 7
Answer:
(-3,1)
y= 1
x= -3
Step-by-step explanation:
4x-9y=-21
-4x-3y=9
solve the equation
4x=-21+9y
-4x-3y=9
substitute the value of 4x onto an equation
-1(-21+9y)-3y=9
multiply -1 to the numbers in parenthesis
-21+-9-3y=9
add -9 to 9 and put the negative on nine as a positive.
-21-3y=18
add -21 to 18 but since 21 is a negative the equation is subtraction.
-3y=-3
divide Both sides by -3
y=1
substitute the value of y into an equation
-4x-3•1=9
multiply 3 to 1
-4x-3=9
put -3 as a positive and add 3 to 9
-4x=12
divide both sides by -4
x= -3
(-3,1)
To solve each of the problems, I first looked for the equation that had the same slope value and then plugged in the 'x' coordinate to see if it gave me the correct 'y' coordinate.
1.)
D.) y = 5x + 4
14 = 5(2) + 4
14 = 10 + 4
14 = 13
2.)
C.) y = 1/5x - 19
-16 = 1/5 (15) - 19
-16 = (3) - 19
-16 = -16
3.) First, get 'y' by itself by subtracting 4x from both sides and dividing the whole equation by -12. To find perpendicular lines, the slope must be the opposite reciprocal of the first slope (in this case, flip the fraction to get the three on top). Add the opposite sign to the slope as your final step.
4x - 12y = 2
-4x -4x
-12y = -4x + 2
-12y / -12 = -4x / -12+ 2 / -12
y = 1/3x - 1/6
C.) y = -3x + 29
-1 = -3(10) + 29
-1 = (-30) + 29
- 1 = -1
It's a proportion.
2 is to x as 15 is to 9, or 2/x = 15/9.
Multiply the means and extremes
15x = 18
divide both sides by 15 to get x by itself.
x = 1.2
Answer:
Step-by-step explanation:
6x + 2y = 12 Subtract 6x from both sides
6x-6x+2y = -6x+12 Combine
2y = -6x + 12 Divide all parts of the equation by 2
2y/2 = - 6x/2 + 12/2
y = - 3x + 6
Slope = - 3
y intercept = 6
