Graph of Parallel lines shows a system of equations with no solutions
Step-by-step explanation:
Consider a set of equations

If we solve this both equations using any one of the solving method, (Substitution method) then we will get

substituting the following x in 2nd equation (21x + 6y = 24) We get

Put y= -2 in x equation

Comparing these (x,y) values we can understand that they never meet at a point
Answer:
10.21 feet.
Step-by-step explanation:
circumference of circle with diameter d is given by 
where r is the radius of the circle.
_____________________________
given
diameter = 6 1/2 = 13/2 feet
\thus, circumference of circle is calculated as following

Thus, circumference of given circle is 10.21 feet.
Answer:
121
.
The axis of symmetry is the line x= 6
The parabola opens downwards.
The value of h when the equation is in vertex form is positive.
Step-by-step explanation:
In the pictures.
Hope it helps! :)
The function is discrete, as the fee is charged based on the hours
The base is 3+(x), altitude is x so substitute. Now we know the area of a triangle is base X height X 1/2. Substitute again! 1/2 (3+x)(x)=35. Multiply both sides by 2 to cancel out the 1/2. Now you have (x)(x+3)=70 and you have to foil out the left side x^2+3x=70. Subtract 70 on both sides x^2+3x-70=0. Find two numbers that multiply to -70 and add to 3. Solve (x+10)(x-7)=0. the x value is 7. since you can't have negative length values. Substitute 7 into 3+x for the base so you know the base is 10 and the height is 7.