The equation in slope-intercept form that represents the total fee "y"
to become a member of the library-all-star-members club for "x"
months is y = 2 x + 40
Step-by-step explanation:
The linear in the form of slope-intercept is y = m x + c, where
1. m is the slope of the line
2. c is the y-intercept
Slope of the line represents the monthly fee ⇒ paid every month
y-intercept represents the sign-up fee ⇒ paid once
To become a member of the library-all-star-members club, there is
a $40 sign-up fee and a $2 monthly fee
∵ The monthly fee is $2
∴ m = 2
∵ The sign-up fee is $40
∴ c = 40
∴ The equation is y = 2 x + 40, where y is the total member fee for
x months in the library-all-star-members club
The equation in slope-intercept form that represents the total fee "y"
to become a member of the library-all-star-members club for "x"
months is y = 2 x + 40
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Answer:
the number is X=2
Step-by-step explanation:
<em>Suppose number is X</em>
8X-1 =X+13
8X-X= 13+1
7X=14
X=2
Y=2x + 5, the Y-intercept is 5
Original coordinates of the points:
A (8,15) ; B (12,13) ; C (8,10)
Dilated scale factor of 3.
A ⇒ 3x = 3(8) = 24 ; 3y = 3(15) = 45 ⇒ A' (24,45)
B ⇒ 3x = 3(12) = 36 ; 3y = 3(13) = 39 ⇒ B' (36, 39)
C ⇒ 3x = 3(8) = 24 ; 3y = 3(10) = 30 ⇒ C' (24, 30)
The given image forms a right triangle. So, I'll get the short leg and long leg of the right triangle to solve for the hypotenuse, length of CB.
Short leg: y value of B and C
Long leg: x value of B and C
a² + b² = c²
9² + 12² = c²
81 + 144 = c²
225 = c²
√225 = √c²
15 = c
The length of CB is 15 units. (option B).
