Answer:
The answer is 6/5
Step-by-step explanation:
You would use the point-slope equation of y-y₁=mx(x-x₁)
So the rate of change is the slope and equals m, so m=-4
and has a solution at (-5,2) which would be the (x₁, y₁) and then it is just plugging in the numbers
y - (2) = (-4)(x - (-5))
y - 2 = -4 (x+5)
y - 2 = -4x - 20
y = -4x - 18
Answer:
See below ~
Step-by-step explanation:
Sides of a rhombus are equal.
⇒ QT = TS
⇒ x² - 4x - 10 = 6x + 14
⇒ x² - 10x - 24 = 0
⇒ x² + 2x - 12x - 24 = 0
⇒ x (x + 2) - 12 (x + 2) = 0
⇒ (x + 2)(x - 12) = 0
⇒ x = -2 or x = 12
Substitute both values and see which gives a positive value for QT :
<u>When x = -2</u> :
- QT = (-2)² - 4(-2) - 10
- QT = 4 + 8 - 10
- QT = 2
<u>When x = 12</u> :
- QT = (12)² - 4(12) - 10
- QT = 144 - 48 - 10
- QT = 86
The 2 possible answers are :
- x = -2, QT = 2
- x = 12, QT = 86
Answer:
3,781
Step-by-step explanation:
To solve this problem, we will find the area of the whole circle and use that to find teh area of the 60º section.
First, recognize the formula for the area of a circle:
A = 3.14
In this scenario, the radius (<em>r</em>) is 85 feet:
A = 3.14(85
A circle is 360º and we only require the area of 60º. 360º / 60º = 6 so we will divide by 6:
A = 
Finally, we will simplify and round:
A = 3,781
Answer:
Return on equity (ROE) = profit margin × asset turnover × financial leverage
Step-by-step explanation:
Return on equity (ROE) = profit margin × asset turnover × financial leverage
Which can be written as:
ROE = (net income÷ sales) × (sales ÷ total assets) × (total asset ÷ average shareholder equity)
