Please solve this for me!!! thank you- math 15 points!!!!!!
1 answer:
You might be interested in
Answer:
44 square units
Step-by-step explanation:
The area of a trapezoid with bases b₁ and b₂ and height h is given by the formula
If you're wondering how we get this formula, check the attached illustration (remember the area of a parallelogram is its base multiplied by its height)! Moving on to our trapezoid, the pairs of points (-5,-3)(4,-3) and (6,-7)(-7,-7) form two horizontal segments, which form b₁ and b₂, and our height is the distance between the y-coordinates -3 and -7, which is 4. We can find b₁ and b₂ by finding the distance between the x coordinates in their pairs of points:
Putting it altogether:
So the area of our trapezoid is 44.
Complete Question:
Juanita makes leather lanyards to sell. She
charges a base fee and a cost per inch of
the finished lanyard. The line shows the
cost y for x inches of lanyard. Write an
equation for the line in slope-intercept
form.
*See attachement for the graph given
Answer:
y = ½x + 5
Step-by-step explanation:
Equation in slope-intercept takes the following form, y = mx + b
m = slope = change in y/change in x
b = y-intercept
Let's find m and b using the graph given
✔️Slope of the line using two points form the graph, say (0, 5) and (2, 6):
Slope (m) = ∆y/∆x = (6 - 5)/(2 - 0) = 1/2
Slope (m) = ½
✔️ y-intercept (b) is the y-coordinate of the point where the line intercepts the y-axis = 5. When y = 5, x = 0. Therefore,
b = 5
✔️To write the equation of the line, substitute m = ½ and b = 5 into y = mx + b:
y = ½x + 5
