Let L represent the ladder length, and x the distance the horiz. ladder reaches out from the wall. Then L = x + 3, where x is the distance of the bottom of the ladder from the wall when the top of the ladder is 9 ft. above the ground.
Consider the triangle formed by the hypotenuse (L, same as ladder length), the (vertical) side opposite the angle formed by the hypo. (with length 9 ft) and the horiz side (which we will call x). Then, according to the Pythagorean Theorem,
L^2 = x^2 + 9^2. But L = x + 3, and L^2 = x^2 + 6x + 9 = x^2 + 9^2. Solving this equation results in x=3. 6x + 9 = 9^2, or
6x + 9 = 81
6x = 72
x = 12
But L = x+3. So L=12+3, or L = 15 (feet).
Assuming that all tiles must stay whole it would be:
1×54
2×27
3×18
6×9
The statements are true about the residual plot and the equation for the line of best fit include:
- The equation for the line of best fit is not a good approximation for the data because the points have a curved pattern.
- The residual plot has the pattern of a curve.
<h3>
What is Residual plot?</h3>
This shows the residuals on the vertical axis and the independent variable on the horizontal axis.
Since the plot has a curved pattern, the equation for the line of best fit is not a good approximation for the data as the result will be inaccurate.
Read more about Residual plot here brainly.com/question/16180255
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Answer:
625
Step-by-step explanation:
5⁴ = 5x5x5x5 = 625
Answer: 30y + 15x
If x is for sneakers, and y is for high heels, plug 15 in for a and 30 in for b. This means that x is how many sneakers she buys, and y is how many high heels she buys. The equation altogether represents the total amount of her purchases.
