Answer:
Step-by-step explanation:
we call one side x and the other side 4x-7. Because in a rectangle opposite sides are equal we can now set up an equation.
x + x + 4x-7 +4x-7 = 180
10x - 14 = 180
10x = 194
x = 19.4
the lenght of the other side is 4(19.4)-7 = 70.6
Answer:
The slope of the tangent line is -3/2.
Step-by-step explanation:
The slope of a tangent line is given by the derivative evaluated at the point of tangency.
To find the derivative dy/dx, use implicit differentiation.
The derivative of the first term is 2x.
The derivative of the second term is found by using the Product Rule.
The derivative of y is dy/dx.
The derivative of 3 is 0.
Differentiating each term produces
Solve for dy/dx.
Plug in the point (1, 1).
Answer:
140°
Step-by-step explanation:
180°=(4x-20)+×
180° = 5x-20
200°=5x
x=40°
140°+40°=180°
Answer: -7 1/2
Step-by-step explanation:
Because 3^2 = 9
When you do (⅓)^2 what you are really doing is
(1^2)/(3^2) = 1/9
If you have (⅔)^2 you do
(2^2)/(3^2) = 4/9
Fractions get smaller because the denominator is also being squared which makes the denominator get bigger and when the denominator is bigger, you are dividing by a larger number which gives you a smaller answer. Whereas when you raise a whole number to an exponent, only the numerator get bigger because the denominator is 1 and 1 raised to any exponent is still 1
3^2 = (3^2)/(1^2) = 9/1 = 9