The y int is where the line crosses the y axis ...so ur y int is 3 or (0,3).
ur slope...start at the y int (0,3)....and if u come down 3, and go to the right 2, and down 3, and to the right 2 u are landing on ur line. So ur slope is -3/2
Let A= <span>2 – 11x2 – 8x + 6x2, the standard form of A is
A = - 5x² -8x + 2
</span>
Solution:
<u>Step-1: Find the slope of the line.</u>
Formula of slope: y₂ - y₁/x₂ - x₁
- y₂ - y₁/x₂ - x₁ = Slope
- => -2 - (-5)/-8 - (-4) = Slope
- => -2 + 5/-8 + 4 = Slope
- => 3/-4 = Slope
<u>Step-2: Use the point slope formula to determine the slope.</u>
Point slope form formula: y - y₁ = m(x - x₁)
- y - y₁ = m(x - x₁) = Equation of line
- => y - (-5) = -3/4{x - (-4)} = Equation of line
- => y + 5 = -3/4{x + 4} = Equation of line
- => y + 5 = -3x/4 - 3 = Equation of line
- => y = -3x/4 - 8 = Equation of line
The equation of the line is <u>y = -3x/4 - 8.</u>
Answer: 41.1
Step-by-step explanation:
To find the value of x, we need to use SOH-CAH-TOA. SOH-CAH-TOA is since, cosine, and tangent. The O, A, H stands for opposite, adjacent, and hypotenuse respectively.
Looking at the figure, we see 47°. The labelled angles are adjacent and the hypotenuse. Therefore, we use CAH or cosine.
[multiply both sides by x]
[divide both sides by cos(47)]

When we plug that into a calculator, we get x=41.1.
Given:
The area model.
The area of the shape is 82 square units.
To find:
The correct equation for the given situation.
Solution:
We know that, area of a rectangle is

The figure is divided into 3 rectangles. Using this formula, the area of each rectangle is



Now, the total area is equation to 82 square units.



Since the required equation is
, therefore, the correct option is C.