The spring will be stretched 18.2 inches by force of 26 pounds.
Step-by-step explanation:
7 pound stretches the spring = 4.9 inches
Ratio of force to spring = 7:4.9
New force = 26 pounds
Spring stretched = x
Ratio of new force to spring = 26:x
Using proportion;
Ratio of force to spring :: Ratio of new force to spring
![7:4.9::26:x\\](https://tex.z-dn.net/?f=7%3A4.9%3A%3A26%3Ax%5C%5C)
Product of mean = Product of extreme
![4.9*26=7*x\\127.4=7x\\7x=127.4\\](https://tex.z-dn.net/?f=4.9%2A26%3D7%2Ax%5C%5C127.4%3D7x%5C%5C7x%3D127.4%5C%5C)
Dividing both sides by 7
![\frac{7x}{7}=\frac{127.4}{7}\\x=18.2\\](https://tex.z-dn.net/?f=%5Cfrac%7B7x%7D%7B7%7D%3D%5Cfrac%7B127.4%7D%7B7%7D%5C%5Cx%3D18.2%5C%5C)
The spring will be stretched 18.2 inches by force of 26 pounds.
Keywords: ratio, proportion
Learn more about proportions at:
#LearnwithBrainly
The correct answer is B) its graph is symmetrical about the y-axis.
It is not symmetrical about the x-axis; you cannot "fold" the graph across the x-axis.
Its domain is not the set of non-negative numbers; you can use negative numbers for x as well as positive.
Its range is not the set of all real numbers; we cannot get a negative y-value from squaring a number.
Answer:
On a 6 sided dice there are 3 possible even number. 3/6 and 50/100 are both the same fraction, 1/2! So the probability of rolling an even number on both of those dice is the same!
Step-by-step explanation:
google
9514 1404 393
Answer:
- y = -1/7x
- y = 2x -7
Step-by-step explanation:
1. The slope of the given line is the x-coefficient, 7. The slope of the perpendicular line is the negative reciprocal of this: -1/7. Since the line goes through the origin, the y-intercept is zero.
y = -1/7x
__
2. The first part of this problem is to find the solution to the given system of equations. We can substitute for x to do that:
3(5 -y)-2y = 10
15 -5y = 10 . . . simplify
-3 +y = -2 . . . . divide by -2
y = 1, x = 4 . . . add 3 to find y; subtract y from 5 to find x
__
The second part of this problem requires we note the slope of the parallel line. It is the x-coefficient, 2. The y-intercept can be found from ...
b = y -mx = 1 -2(4) = -7
So, the desired line in y=mx+b form is ...
y = 2x -7
_____
The first attachment shows the perpendicular lines of problem 1.
The second attachment shows the parallel lines of problem 2.
Answer:
An 8-inch diameter pizza for $6.
Step-by-step explanation:
If you buy two of these pizzas, you would pay 99 cents less than buying a 16-inch pizza for %12.99.
Hope it helps!