Answer: -70.3 feet
Step-by-step explanation:
Let Ben's final elevation be represented by x.
We are informed that he starts off 59.3feet above sea level and descends into the canyon and that the difference between his starting and ending elevation is 129.6 feet. This will then be expressed in an equation as:
59.3 - x = 129.6
x = 59.3 - 129.6
x = -70.3
Therefore, the final elevation is -70.3 feet.
The final equation of line passing through (6,9) and (11,2)
![y=-\frac{7}{5}x+\frac{87}{5}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B7%7D%7B5%7Dx%2B%5Cfrac%7B87%7D%7B5%7D)
Further explanation:
The general form of equation is:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
We have to find the slope first
![m=\frac{y_2-y_1}{x_2-x_1}\\Here\\(x_1,y_1)=(6,9)\\(x_2,y_2)=(11,2)\\Putting\ the\ values\\m=\frac{2-9}{11-6}\\=-\frac{7}{5}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5CHere%5C%5C%28x_1%2Cy_1%29%3D%286%2C9%29%5C%5C%28x_2%2Cy_2%29%3D%2811%2C2%29%5C%5CPutting%5C%20the%5C%20values%5C%5Cm%3D%5Cfrac%7B2-9%7D%7B11-6%7D%5C%5C%3D-%5Cfrac%7B7%7D%7B5%7D)
Putting the value of m in general form
![y=-\frac{7}{5}x+b](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B7%7D%7B5%7Dx%2Bb)
For finding the value of b, putting (6,9) in equation
![9=-\frac{7}{5}(6)+b\\9=-\frac{42}{5}+b\\9+\frac{42}{5}=b\\b=\frac{45+42}{5}\\](https://tex.z-dn.net/?f=9%3D-%5Cfrac%7B7%7D%7B5%7D%286%29%2Bb%5C%5C9%3D-%5Cfrac%7B42%7D%7B5%7D%2Bb%5C%5C9%2B%5Cfrac%7B42%7D%7B5%7D%3Db%5C%5Cb%3D%5Cfrac%7B45%2B42%7D%7B5%7D%5C%5C)
![b=\frac{87}{5}](https://tex.z-dn.net/?f=b%3D%5Cfrac%7B87%7D%7B5%7D)
Putting the values of b and m
The final equation of line passing through (6,9) and (11,2)
![y=-\frac{7}{5}x+\frac{87}{5}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B7%7D%7B5%7Dx%2B%5Cfrac%7B87%7D%7B5%7D)
Keywords: Equation of line, Slope
Learn more about equation of line at:
#LearnwithBrainly
Answer:
50.5 degrees
Step-by-step explanation:
Since this is a parallelogram then...
Angle U + Angle R = 180
3x+4+9x-10=180
Combine like terms
12x-6=180
Add 6 to both sides
12x=186
Divide both sides by 12
x=15.5
Now we plug 15.5 in for x to find Angle U
3(15.5)4=46.5+4=50.5
Angle U = 50.5 degrees
So 2×9=18 so she spend $18 on the pounds of food so 25-18=7 so the nuber of treats she can buy 7 treats for the animal shelter