-11 + (-15) = -26
When adding a negative number with a negative number you will simply just add the two numbers together and the sign of the answer will be negative as well.
Hope this helped!
~Just a girl in love with Shawn Mendes
Given:
The inequality is
![-2x+2>3x-8](https://tex.z-dn.net/?f=-2x%2B2%3E3x-8)
To find:
The solution of the given inequality.
Solution:
We have,
![-2x+2>3x-8](https://tex.z-dn.net/?f=-2x%2B2%3E3x-8)
Isolate the variables terms on the left side.
![-2x-3x>-2-8](https://tex.z-dn.net/?f=-2x-3x%3E-2-8)
![-5x>-10](https://tex.z-dn.net/?f=-5x%3E-10)
Divide both sides by -5 and change the inequality sign as we divide the equality by a negative value.
![\dfrac{-5x}{-5}](https://tex.z-dn.net/?f=%5Cdfrac%7B-5x%7D%7B-5%7D%3C%5Cdfrac%7B-10%7D%7B-5%7D)
![x](https://tex.z-dn.net/?f=x%3C2)
Therefore, the correct option is D.
Answer:
B, C
Step-by-step explanation:
I am sure you have heard of the vertical line test. What the vertical line test does is make sure, for every, input, there is only one output. What this means is that two points cannot have the same x, unless they have the same y.
Two different x's can have the same y, but two different y's cannot have the same x.
In this problem, the x's that are taken by other coordinates with different y values are: 1, 3, 4, -4.
This means that the x you are trying to find cannot be any of those since the y value is different than all the other points. Which leaves you with the answers B and C.
Hope this helps, don't hesitate to ask more questions.
Answer:
106 gal
Step-by-step explanation:
step 1
Find the area of the path
we know that
The area of the path is given by the formula
![A=\pi r_2^{2} -\pi r_1^{2}](https://tex.z-dn.net/?f=A%3D%5Cpi%20r_2%5E%7B2%7D%20-%5Cpi%20r_1%5E%7B2%7D)
![A=\pi [r_2^{2} -r_1^{2}]](https://tex.z-dn.net/?f=A%3D%5Cpi%20%5Br_2%5E%7B2%7D%20-r_1%5E%7B2%7D%5D)
where
r_2 is the radius of the pool plus the width of the path
r_1 is the radius of the pool
we have
---> the radius is half the diameter
![r_2=11+6=17\ yd](https://tex.z-dn.net/?f=r_2%3D11%2B6%3D17%5C%20yd)
substitute
![A=\pi [17^{2}-11^{2}]](https://tex.z-dn.net/?f=A%3D%5Cpi%20%5B17%5E%7B2%7D-11%5E%7B2%7D%5D)
![A=168\pi\ yd^2](https://tex.z-dn.net/?f=A%3D168%5Cpi%5C%20yd%5E2)
assume
![\pi =3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D3.14)
![A=168(3.14)=527.52\ yd^2](https://tex.z-dn.net/?f=A%3D168%283.14%29%3D527.52%5C%20yd%5E2)
step 2
Find the gallons of coating needed
Divide the area of the path by 5
so
![527.52/5=105.5\ gal](https://tex.z-dn.net/?f=527.52%2F5%3D105.5%5C%20gal)
Round up
therefore
106 gal
Answer:
The equations could be used to find one of the numbers is, ![3a^2 + 4a =112](https://tex.z-dn.net/?f=3a%5E2%20%2B%204a%20%3D112)
Step-by-step explanation
Let two integers be a and b.
As per the given statement:
The product of two integers is 112.
⇒
......[1]
Also, One number is 4 more than three times the other.
⇒b = 3a +4 ......[2]
Now substitute equation [1] in [2] we get
![a(3a+4) =112](https://tex.z-dn.net/?f=a%283a%2B4%29%20%3D112)
Using distributive property i.e, ![a \cdot (b+c) = a\cdot b + a\cdot c](https://tex.z-dn.net/?f=a%20%5Ccdot%20%28b%2Bc%29%20%3D%20a%5Ccdot%20b%20%2B%20a%5Ccdot%20c)
![(a)(3a)+ 4a = 112](https://tex.z-dn.net/?f=%28a%29%283a%29%2B%204a%20%3D%20112)
Simplify:
![3a^2 + 4a =112](https://tex.z-dn.net/?f=3a%5E2%20%2B%204a%20%3D112)
therefore, the equation that could be used to find one of the numbers is;
![3a^2 + 4a =112](https://tex.z-dn.net/?f=3a%5E2%20%2B%204a%20%3D112)