First, let x or any variable represent the number of paintings Kate initially has. After selling 12 of it, her paintings now becomes only x - 12. Then, she purchased 7 more making the number of her paintings become x - 12 + 7 = x - 5. This number tantamount to 21.
x - 5 = 21 ; x = 26
Thus, Kate initially had 26 paintings.
Step-by-step explanation:
4x² - 12x + 17 = 0
i is an imaginary number and it equals √-1, and you usually put it when the number under the root is negative.
So √-5 = √5i and √-4 = 2i
Y=30x+50
y is the total amount saved
x is the amount of months she deposited 30 dollars
30 is the amount she’s depositing
50 is the initial amount or the constant
Diameter D of the trampoline = 17 feet
The circumference C, of the trampoline is calculated by the formula:
Put D = 17 feet, π=3.14
The cirucmference o
Answer:
C
Step-by-step explanation:
y-3=5(x-2) (rearrange this to be in slope- intercept from) (add 3 to both sides)
y = 5(x-2) + 3 (distribute parentheses)
y = x(5) - 2(5) + 3
y = 5x -10 + 3
y = 5x - 7
recall that for a line with gradient m, the gradient of the perpendicular line will be - (1/m)
hence in our case, our gradient of the original line is 5, hence the gradient of the perpendicular line is -1/5
From the choices, the only one that is consistent with this is C
i.e choice C:
5y + x = 25
5y = -x + 25
y = -(1/5) x + 5 ===> gradient of -1/5
