Answer:
x = 4.5
Step-by-step explanation:
6x+7=4x+4y
The first step is to simplify the equation by combining the x terms
Subtract 4x from each side
6x-4x +7 = 4x-4x+4y
2x+7 = 4y
We know the y value is 4
Substitute y=4 into the equation
2x+7 = 4(4)
2x+7 =16
Subtract 7 from each side
2x+7-7 =16-7
2x=9
Divide by 2
2x/2 =9/2
x= 4.5
Based from the graph, I think the answer is D. a piece-wise function with separate pieces of linear and step-functions. This is because as you can see from the graph, for intervals [0,1], [5,6], and [10,11] the function is linear. On the other hand, for the remaining intervals, it has a constant value which can be described as a step function.
X=the number we have to find.
This expression "2(x+9)" is when the sum of a number and nine is doubled.
If the result is seven less than the number, we will have: x-7
We can suggest the following equation:
2(x+9)=(x-7)
2x+18=x-7
2x-x=-7-18
x=-25
answer: the number would be: -25.
The algebraic expression of "Four more than the quotient of a number and 3 is 9" is ![\frac{x}{3}+4=9](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B3%7D%2B4%3D9)
The value of x=15
Step-by-step explanation:
We need to express "Four more than the quotient of a number and 3 is 9" as algebraic expression.
Let the number = x
Solving:
quotient of a number and 3: ![\frac{x}{3}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B3%7D)
Four more than the quotient of a number and 3: ![\frac{x}{3}+4](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B3%7D%2B4)
Four more than the quotient of a number and 3 is 9: ![\frac{x}{3}+4=9](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B3%7D%2B4%3D9)
Now, finding value of x:
![\frac{x}{3}+4=9\\Adding\,\,-4\,\,on\,\,both\,\,sides:\\\frac{x}{3}+4-4=9-4\\\frac{x}{3}=5\\Multiply\,\,both\,\,sides\,\,by\,\,3:\\x=5*3\\x=15](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B3%7D%2B4%3D9%5C%5CAdding%5C%2C%5C%2C-4%5C%2C%5C%2Con%5C%2C%5C%2Cboth%5C%2C%5C%2Csides%3A%5C%5C%5Cfrac%7Bx%7D%7B3%7D%2B4-4%3D9-4%5C%5C%5Cfrac%7Bx%7D%7B3%7D%3D5%5C%5CMultiply%5C%2C%5C%2Cboth%5C%2C%5C%2Csides%5C%2C%5C%2Cby%5C%2C%5C%2C3%3A%5C%5Cx%3D5%2A3%5C%5Cx%3D15)
So, value of x = 15
Keywords: Algebraic expression
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Answer: CPCTC
Step-by-step explanation:
because in the step before that it was proved that the triangles were congruent and CPCTC is used after they are proved congruent.
By CPCT [Corresponding Part of congruent Triangle]
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hope i helped
-lvr