(2,-1), (-4,17).
Step-by-step explanation:
Equate the equation A and equation B
Convert the quadratic equation in factored form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
Square root both sides
Find the values of y
Substitute the value of x in the equation B
Answer:
I would change 2x+4y=24 into x=12–2y
To do that, divide both sides by 2 and then subtract 2y on each side.
After that, substitute for x. 3x+2y=19 would become 3(12–2y)+2y=19.
Then solve.
3(12–2y)+2y=19
36–6y+2y=19
-4y+36=19
-4y=-17
y=4.25
Then, substitute y in either equation.
Either this:
3x+2y=19
3x+2(4.25)=19
3x+8.5=19
3x=10.5
x=3.5
Or:
2x+4y=24
2x+4(4.25)=24
2x+17=24
2x=7
x=3.5
Or you could solve it in the equation you created in the beginning:
x=12–2y
x=12–2(4.25)
x=12–8.5
x=3.5
The coordinates where the lines intercept are (3.5, 4.25).
Sorry for the long answer!
Assuming that the label only covers the body of the cylinder and not the circular faces on the top and bottom.
Answer:
x = 19.6
Step-by-step explanation:
By applying cosine rule in ΔBCD,
cos(30)° = 
= 
BC = 
Now, by applying sine rule in ΔBAC,
sin(45)° = 
x = 
x = 19.59
x ≈ 19.6
Answer:
75%
Step-by-step explanation:
It's right
