Answer:
0.4069 ; 1.843
Step-by-step explanation:
Given:
Base of parallelogram, b = (2x - 1)
Height = (4x - 7)
Area = 1
Area of parallelogram = Base * height
Area of parallelogram = (2x - 1) * (4x - 7)
(2x - 1) * (4x - 7) = 1
8x² - 14x - 4x + 7 = 1
8x² - 18x + 7 - 1 = 0
8x² - 18x + 6 = 0
Divide through by 2
4x² - 9x + 3 = 0
Solving the quadratic equation :
Using the formula
-b ± √(b² - 4ac) / 2a
a = 4 ; b = - 9 ; c = 3
Plugging in the values :
-(-9) ± √((-9)² - 4(4)(3)) / 2(4)
9 ± √(81 - 48) / 8
9 ± √33 / 8
(9 ± 5.7445626) / 8
(9 - 5.7445626) / 8) = 0.4069
(9 + 5.7445626) / 8 = 1.843
To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π=3.14).
Answer:
Step-by-step explanation:
The average rate of change over a interval is the slope m of the straight line joining the two points.
The average rate of change is 
Each T shirt costs $21.
Since Martha takes her niece and nephew to a concert, and she buys T-shirts and bumper stickers for them, and the bumper stickers cost $ 1 each, and Martha's niece wants 1 shirt and 4 bumper stickers, and her nephew wants 2 shirts but no bumper stickers, to determine, if Martha's total is $ 67, what is the cost of one shirt, the following calculation must be performed, posing linear equations:
- 1 bumper sticker = $ 1
- 1 T shirt + 4 bumper stickers + 2 T shirts = $ 67
- 1X + 4 x 1 + 2X = 67
- 3X = 67 - 4
- X = 63/3
- X = 21
Therefore, each T shirt costs $21.
Learn more about linear equations in brainly.com/question/11897796
Answer:
92.64 cm^3 (it should be smaller if using actual pi, 22/7 is larger than pi)
Step-by-step explanation:
The equation for the volume of a cone is 1/3(pi*h*r^2) So, first we need to find the radius, which is diameter over 2, so the radius is 3.5 cm. Now we know all of the variables so we can plug in to solve.
