Answer:
a) 3 b) y = 3x + 11
Step-by-step explanation:
a)
In order to find the gradient (slope), find the change in y or change in x (rise/run).
-2 - 2 / 7 - (-5)
-2 - 2 / 7 + 5
-4/12 = -1/3
Now that we know the gradient of line AB is -1/3, take the opposite reciprocal of that to find the gradient perpendicular to line AB.
-1/3 ⇒ 3
b)
Take point C's values and the perpendicular gradient found earlier and substitute them into the point-slope form equation.
y - 5 = 3(x - (-2))
y - 5 = 3(x + 2)
y - 5 = 3x + 6
y = 3x + 11
Correct answer for the above question is - option B. 86°
<u>Step-by-step explanation:</u>
Given:
∠NOP = 24°
∠NOQ = 110°
∠NOP and ∠POQ are adjacent angles
To Find:
∠POQ = ?
Solution:
Hereby, we can say that ∠POQ lies between line OQ and ON as given (∠NOP and ∠POQ are adjacent angles )
∠NOQ - ∠NOP = ∠POQ
∠POQ = 110° - 24°
<u>∠POQ = 86°</u>
Angle POQ is 86°
Thus we can conclude option B as correct answer.
2 1/7
your welcome give me brainliest
Answer:
$43.04
Step-by-step explanation:
multiply the original price by .55
The shaded region's area is x² + 23x + 49.
Step-by-step explanation:
Step 1; To calculate the area of the shaded region, we subtract the area of the square which has side lengths of (x + 1) from the entire rectangle. So we determine the equations that denote the areas of the two shapes.
Step 2; Area of the square = side length × side length (x + 1)×(x + 1) = x² + x + x + 1 = x² + 2x + 1
Area of the bigger rectangle = length × breadth = (x + 10) × (2x + 5) = 2x² + 5x + 20x + 50 = 2x² + 25x + 50.
Step 3; The given shaded region's area = Area of the bigger rectangle - Area of the smaller square = 2x² - x² + 25x - 2x + 50 - 1 = x² + 23x + 49.
So the shaded region's area of x² + 23x + 49.
