Answer:144
Step-by-step explanation:
19x - 22 is you combine like terms!
Answer:
The total distance cover by John is 15 min to reach his office .
Step-by-step explanation:
Given as ;
In the first 10 minutes , the distance cover is 1 miles every minutes
So, for 10 minutes , total distance cover by John = 10 × 1 = 10 miles
Again ,
John cover distance of 0.5 miles for every minutes , he travel for next 10 min
So, for next 10 min, total distance cover by John = 10 × 0.5 = 5 miles
So, The total distance cover by john = 10 miles + 5 miles = 15 miles
Hence The total distance cover by John is 15 min to reach his office . Answer
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
Answer:
Area of the shaded region= 
Step-by-step explanation:
Area of the shaded region=Area of the rectangle-Area of the circle
Area of rectangle= 

Area is:

Area of the circle = 

As, 
Area of the Circle is :

Area of the Shaded region:
Area of the shaded region