Answer:
39
Step-by-step explanation:
difference=28
other number=11
so:
11+28=39
39 is your other number
Answer:
y = -4/3x +4
Step-by-step explanation:
y= mx+b
solve for y.
4x+3y=12
Step 1: Add -4x to both sides.
4x+3y+−4x=12+−4x
3y=−4x+12
Step 2: Divide both sides by 3.
Let's solve for y.
4x+3y=12
Step 1: Add -4x to both sides.
4x+3y+−4x=12+−4x
3y=−4x+12
Step 2: Divide both sides by 3.
3y / 3 =-4x +12 /3
y = -4/3x +4
hopes this helps you out
Answer:
see below!!
Step-by-step explanation:
x + 3y = 5,
y = –x + 3
Substitute the point into each equation and verify that it is true
x + 3y = 5, 2 +3(1) = 5 5 = 5 true
y = -x +3 1 = -2+3 1=1 true
(2,1) is a solution
Answer:
(10, 3)
Step-by-step explanation:
Solve by Substitution
2x − 4y = 8 and 7x − 3y = 61
Solve for x in the first equation.
x = 4 + 2y 7x − 3y = 61
Replace all occurrences of x with 4 + 2y in each e quation.
Replace all occurrences of x in 7x − 3y = 61 with 4 + 2y. 7 (4 + 2y) − 3y = 61
x = 4 + 2y
Simplify 7 (4 + 2y) − 3y.
28 + 11y = 61
x = 4 + 2y
Solve for y in the first equation.
Move all terms not containing y to the right side of the equation.
11y = 33
x = 4 + 2y
Divide each term by 11 and simplify.
y = 3
x = 4 + 2y
Replace all occurrences of y with 3 in each equation.
Replace all occurrences of y in x = 4 + 2y with 3. x = 4 + 2 (3)
y = 3
Simplify 4 + 2 (3).
x = 10
y = 3
The solution to the system is the complete set of ordered pairs that are valid solutions.
(10, 3)
The result can be shown in multiple forms.
Point Form:
(10, 3)
Equation Form:
x = 10, y = 3
Answer:
= 12 cm^3
Step-by-step explanation:
V = Bh where B is the area of the base and h is the height
For a triangular prism, the base is the triangle
A = 1/2 bh for the triangle
= 1/2 (6*2)
= 6 cm^2
To find the volume for the triangular prism
V = Bh
= 6 * 2
= 12 cm^3
