9 * 3 - 4(16/7) = 189/7 - 64/7 = 125/7 = 17 <em>6/7 </em>
The total area of the figure is 141 in^2.
To find the area of this figure you need to separate it into different sections.
First to find the area of the triangle on the left is multiple 8 by 3, giving the area of 24.
Second find the area of the rectangular shape towards the left, and ignore the triangle ends on both sides for now. To find the area of the rectangle multiply 10 by 9.
Lastly, to find the area of both triangles on both ends is to multiply 9 by 3. The three is found by subtracting 10 from 16 and dividing it by two.
Adding all the areas together gives you the answer = 141 in^2
<h2>
Answer: y = x + 1
</h2>
Step-by-step explanation:
For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:
The question gives us two points, (3, 4) and (-4,-3), from which we can find the slope and later the equation of the line.
<u>Finding the Slope</u>
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (4 - (- 3)) ÷ (3 - (-4))
= 1
<u>Finding the Equation</u>
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - (-3) = 1 (x - (-4))
y + 3 = (x + 4)
we could also transform this into the slope-intercept form ( y = mx + c)
since y + 3 = (x + 4)
⇒ y = x + 1
<em>To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.</em>
Answer: y=3x-6
Step-by-step explanation:
Answer:
y = -1/2x +7/2
Step-by-step explanation:
First we need to find the slope
m = (y2-y1)/(x2-x1)
= (5-3)/(-3-1)
= 2 /-4
= -1/2
We can use the slope intercept form
y= mx+b where m is the slope and b is the y intercept
y = -1/2 x+b
Substitute the point int
3 = -1/2 (1) +b
3 = -1/2 +b
Add 1/2 to each side
62 + 1/2 = b
b = 7/2
y = -1/2x +7/2