5y=15-3x
y=3-3/5x
hope it helps:):)
Let the numbers be x and y; x being the larger number and y being the smaller.
Given,
x + y = 2* (x - y)
x + y = 2x - 2y
x = 3y
Also given,
x = 6 + 2y
3y = 6 + 2y
--- y = 6
Thus, x = 3y = 3*6 = 18.
Therefore, the numbers are 18 and 6.
9514 1404 393
Answer:
focus: (0, -5.5)
directrix: y = 5.5
Step-by-step explanation:
The equation compares to the form ...
x² = 4py
where 4p = -22 ⇒ p = -22/4 = -5.5.
The value of p is the distance from the vertex to the focus. The negative value means the focus is below the vertex at (0, -5.5).
The directrix is above the vertex by the same amount, so is y = 5.5.
Answer: 17 square inches.
Step-by-step explanation: Area of a triangle is 1/2 x b x h. We can just take the area of half of the whole triangle, and double it. In this case, half of the triangle has an area of 1/2 x 3.4 x 5 = 8.5. Doubling it is the same is doing 8.5 x 2, which equals 17.
Answer:
The interest he will be paid in the first 4 years is $360
Step-by-step explanation:
The rule of the simple interest is I = Prt, where
∵ Bill deposits $3,000 into an account
∴ P = 3000
∵ The account pays simple interest at a rate of 3% per year
∴ r = 3% = 3 ÷ 100 = 0.03
∵ The time is 4 years
∴ t = 4
→ Substitute these values in the rule above
∵ I = 3000(0.03)(4)
∴ I = 360 dollars
∴ The interest he will be paid in the first 4 years is $360
