Step-by-step explanation:
The given equations are :
y=-x+2 ....(1)
y = -4x +7 ....(2)
From equation (1) and (2)
-x+2 = -4x +7
Taking like terms together
-x+4x=7-2
3x = 5
x = 1.667
Put the value of x in equation (1)
y=-(1.667)+2
y = 0.333
The solution of the equations are (1.667,0.333). The attached figure shows the graph for the equations.
3. Congruent, 30 degrees
4. 2x+30+50=180
80+2x=180
x=50
2x=100
5. 3x-13+58=90, so 3x+45=90
3x=45 x=15
3x-13=3(15)-13
=45-13
=32 degrees
Answer:
n < 2
Step-by-step explanation:
This inequality can be solved the same way the corresponding 3-step linear equation would be solved.
8n +20 < 6n +24 . . . . . given
2n +20 < 24 . . . . . . . . step 1, subtract 6n to isolate the variable on the left
2n < 4 . . . . . . . . . . . . step 2, subtract 20 to separate constants and variable terms
n < 2 . . . . . . . . . . . divide by the coefficient of the variable
Ok
A=bh
plug in
126 square meters=6b
126/6 6/6
21=b
base length=21meters
Answer:
162 passengers
Step-by-step explanation:
A roller coaster can take 162 passengers around the track in 9 minutes. The roller coaster operates at a constant rate.
