Step-by-step explanation:
x²+3x+4=0
x²+3x_ +2=0
x²+3x_2=-2
x²+3x_2+(3x_4)²=-2+(3/4)²
(x+3/4) =-2+9_16
x+3_4 = -32+9__16 =√-23_6
x+3_4 =-√23_4
x = -3+√-23___4
x = -3- √-23___4 , -3+√-23___4 //
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Answer:
No
There are infinitely many solutions to the system.
{36x+21y=24312x+7y=81
Multiply the second equation by 3.
3(12x+7y36x+21y=81)=243
Subtract this new equation from the first equation.
36x+21y−(36x+21y0+0=243=243)=0 true
Answer:
Step-by-step explanation:
From the number line, the solution to the inequality is x<4 or x>5.
We can write x<4 in interval notation as (-∞,4) and x>5 as (5,∞).
The "or" represents the union of the two intervals.
Therefore the solution to the given inequality in interval notation is:
The third choice is the correct answer.
Point-slope form: we need a point (x₀,y₀) and the slope "m".
y-y₀=m(x-x₀)
Data:
(1,1)
m=2
Therefore:
y-y₀=m(x-x₀)
y-1=2(x-1) This is the equation of the line in point-slope form.
Answer. y-1=2(x-1)
Answer:
Kyle's house is 5000 m away from the school.
Step-by-step explanation:
Carter lives 3 kilometers away from the school and Kyle lives 2000 meters farther away from the school then Carter does.
Simply put, Kyle lives an extra 2000 meters plus the distance of Carter's house from the school.
So, we simply need to add the two distances given to us to the find our answer.
Let us put the distance of Carter's house in metres:
1 km = 1000 m
=> 3 km = 3 * 1000 m = 3000 m
Hence, the distance of Kyle's house from the school is:
3000 m + 2000 m = 5000 m
Kyle's house is 5000 m away from the school.
