15-32= 32-15= 32 -15 15 -32
Answer: 102 cm
Step-by-step explanation: you add up all the sides to get 102 cm.
Answer:
y =-5/4x +11/2
Step-by-step explanation:
First we need to find the slope of the line
4x-5y = 10
Solve for y
Subtract 4x from each side
4x-4x-5y =-4x-10
-5y = -4x-10
Divide by -5
-5y/-5 = -4x/-5 -10/-5
y = 4/5x +2
The slope is 4/5
The slope of a line that is perpendicular is the negative reciprocal
m perpendicular = - (5/4)
We know have a slope = -5/4 and a point (2,3)
We can use the point slope form of a line
y-y1 = m(x-x1)
y-3 = -5/4 (x-2)
Distribute
y-3 =-5/4x +10/4
Add 3 to each side
y-3+3 = -5/4 x +5/2 +3
Get a common denominator
y = -5/4x +5/2 +6/2
y =-5/4x +11/2
Answer: 8.0
8.035714286 is rounded to 8
y = 7x - 3
Note the gradient of the tangent is the derivative of y at x = 1
Differentiate using the power rule
(a
) = na
y = 3x³ - x² + 2
= 9x² - 2x
x = 1 : = 9 - 2 = 7 ← gradient of tangent
equation in point- slope form, using m = 7 and (a, b) = (1, 4)
y - 4 = 7(x - 1) ← point-slope form
y - 4 = 7x - 7
y = 7x - 3 ← in slope-intercept form
