The surface area of a rectangular prism is the sum of the areas of its faces added together. From the picture, we can see that the prism is constructed of 4 faces that measure 7 cm by 9 cm and 2 faces that measure 7 cm by 7 cm.
The area of one 7 cm by 9 cm face is 63 cm². Together, all four of the faces add up to 252 cm².
The area of one 7 cm by 7 cm face is 49 cm². Together, the two faces add up to 98 cm².
Using these areas, we can say that the total surface area of the prism would be 252 cm² added to 98 cm², or 350 cm².
Step-by-step explanation:
3x squared - 5x - 1 equals 0 using the method of completing the square he gets 3 x square - 5 x equals one and then x squared - 5/3 x is equal to 1 what does dividing should I pray then you come down you get X squared - 5/3 x into (- 5/6 or squared is equals 1/3 + but it will be negative 5/6 or squared you good like them send any you get so at the end your roots are going to be x equals 1.847 or x equals negative 0.180 results
Step 1: Find f'(x):
f'(x) = -6x^2 + 6x
Step 2: Evaluate f'(2) to find the slope of the tangent line at x=2:
f'(2) = -6(2)^2 + 6(2) = -24 + 12 = -12
Step 3: Find f(2), so you have a point on y=f(x):
f(2) = -2·(2)^3 + 3·(2)^2 = -16 + 12 = -4
So, you have the point (2,-4) and the slope of -12.
Step 4: Find the equation of your tangent line:
Using point-slope form you'd have: y + 4 = -12 (x - 2)
That is the equation of the tangent line.
If your teacher is picky and wants slope-intercept, solve that for y to get:
y = -12 x + 20
Absolute value is how far away a number is from zero on the number line so -32 and 32 have the same absolute value and for number 2 i agree necause 30 is closer to zero than 32
