<h2><u>
PLEASE MARK BRAINLIEST!</u></h2>
Answer:
Let's see...
Step-by-step explanation:
*Note: we can't find the exact area of the shaded figure right off the bat, we have to find the area of a bigger figure and divide it by 2.
<h3>The coordinates of the bigger figure:</h3>
A = (0,0)
B' = (0,4)
C = (5,4)
D' = (5,0)
Note: the little [ ' ] next to the B and D indicate that it is not the same coordinate as B and D, just that those points would be the same as point B and D.
<h3>That being said, what is the area of the bigger figure?</h3>
A = l * w
A = 4 * 5
A = 20 units²
<h3>Now, divide the Area by 2:</h3>
A = 20 ÷ 2
<em>A = 10 units²</em>
I hope this helps!
- sincerelynini
Answer:
∴(x+5)(x+3) =x²+8x+15
Step-by-step explanation:
Standard form of a polynomial:
Standard of polynomial means that the terms ordered from biggest exponent of variable to lowest exponent of variable.
Example:
Given,
(x+5)(x+3)
=x(x+3)+5(x+3)
=x²+3x+5x+15
=x²+8x+15
∴(x+5)(x+3) =x²+8x+15
The degree of the polynomial is 2 and is a one variable polynomial.
<h3>
Answer: y = (3/4)x + 13/4</h3>
This is the same as writing y = 0.75x + 3.25
slope is 3/4 = 0.75
y intercept is 13/4 = 3.25
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Explanation:
One marked point on this line is (-3,1)
Another point is at (1,4)
Let's find the slope of the line through these two points.
m = (y2-y1)/(x2-x1)
m = (4-1)/(1-(-3))
m = (4-1)/(1+3)
m = 3/4
m = 0.75
Now let's use point slope form to find the equation of the line
y - y1 = m(x - x1)
y - 1 = 0.75(x - (-3))
y - 1 = 0.75(x + 3)
y - 1 = 0.75x + 2.25
y = 0.75x + 2.25 + 1
y = 0.75x + 3.25
If you wanted, you can convert those decimal values to fraction form
- 0.75 = 75/100 = 3/4
- 3.25 = 325/100 = 13/4
That means the equation
y = 0.75x + 3.25
is the same as
y = (3/4)x + 13/4
This is an example of how you solve an inequality.
