Answer:
( 3x + 5 ) ( x - 4 )
Step-by-step explanation:
1.) Factors of 20 = (1,20) (2,10) and (4,5)
2.) ( 3x + 5 ) ( x - 4 )
3.) 3x - 12x + 5x - 20 = 0
4.) 3x^2 + 7x - 20 = 0
Answer:
y-10=2/3(x-8)
Step-by-step explanation:
(y2-y1)/(x2-x1) is the equation for slope so put your points in you get 2/3 once simplified then its just a matter of putting points in the equation y-y1= m(x-x1)
The general form of the equation we need to find is (x - h)^2 = 4p(y- k).
The center is the distance between the directrix and focus.
So, center (h, k) = (3, 3/2) .
P = distance from center to the focus and it just so happens to be 1.5.
We now plug everything into the formula given above.
(x - 3)^2 = 4(1.5)(y - 3/2)
(x - 3)^2 = 6(y - 3/2)
Done!
Answer:
Katie is 6 years old and Thomas is 3 years old
Step-by-step explanation:
Given that we should let K and T be the current ages of two siblings, Katie and Thomas.
If Katie is currently twice the age of Thomas then,
K = 2T
and in 6 years, Katie will be 4 times Thomas's current age then
K + 6 = 4T
Solving both equations simultaneously by substituting the value of K given in the first equation into the second
2T + 6 = 4T
Collect like terms
6 = 4T - 2T
6 = 2T
Divide both sides by 2
T = 3
Recall that K = 2T
K = 2 * 3
= 6
Hence Katie is 6 years old while Thomas is 3 years old
Answer:
Step-by-step explanation:
u+6 = - 5 Subtract 6
u + 6 - 6 = - 5 - 6
u = - 11
Try thinking this as money. If you are 5 dollars in the hole and you borrow another 6 dollars, where are you?
The answer is that unless you pay your debt of 5 dollars, you are - 11 dollars in the hole.
