We know that :
⊕ Area of a Rectangle is given by : Length × Width
Let us calculate the Area of the Rectangle in the Left side of the figure
⇒ Area of Left Rectangle : (x - 3) (x + 2x)
⇒ Area of Left Rectangle : (x - 3) (3x)
⇒ Area of Left Rectangle : 3x² - 9x
Let us calculate the Area of the Rectangle in the right side of the figure
⇒ Area of the Right Rectangle : (x - 1)(x)
⇒ Area of the Right Rectangle : x² - x
Given : Combined area of both rectangles is 50 cm²
⇒ 3x² - 9x + x² - x = 50
⇒ 4x² - 10x = 50
⇒ 2x² - 5x - 25 = 0
Comparing the above equation with ax² + bx + c = 0,
we can notice that :
→ a = 2
→ b = -5
→ c = -25
Slope intercept form is y = mx + b.....so lets solve for y
9x - 7y = -7 .....subtract 9x from both sides
-7y = -9x - 7...now we divide both sides by -7
y = 9/7x + 1 <==
Answer:
45 oz
Step-by-step explanation:
first you need to find the are of the yard. To do that you multiply the length by the width: 60x90=5400 feet
next you divide by 120: 5400/120=45
therefore, you need to buy 45 ounces of grass seed.
Answer:
350 + 4x = 750
x = the amount the fee went up annually.
4x = 750 - 350
4x = 400
x = 400/4
x = 100
The rate of change is 100 dollars per year. The initial value of her business is 350 dollars. To check your work (aka how do you know) if you add 100 dollars to her initial value (350) 4 times you get 750.
Step-by-step explanation:
Answer:
a) 39 degrees
Step-by-step explanation:
angle REB + angle JEB = 180 degrees (because J, E, and R are collinear)
=> angle REB = 180 - angle JEB = 180 - 132 = 48 degrees
angle REB + angle ERB + angle RBE = 180 degrees (because the sum of 3 angles inside a triangle is 180 degrees)
=> angle RBE = 180 - angle REB - angle ERB = 180 - 48 - 93 = 39 degrees