Answer:
a) x=2
b)x=12
c)x=5/4
Step-by-step explanation:
a)5x-2=8
5x=8+2
5x=10
x=2
b)4x-3=2x+9
4x-2x=9+3
2x=12
x=6
c)6x+3=2x+8
6x-2x=8-3
4x=5
x=5/4
Proof:
a)5x-2=8
5(2)-2=8
10-2=8
8=8
b)4x-3=2x+9
4(12)-3=2(12)+9
48-3=24+9
45=45
c)6x+3=2x+8
6(5/4)+3=2(5/4)+8
30/4+3=10/4+8
15/2+3=5/2+8
10.5=10.5
Hope this helps ;) ❤❤❤
Answer: $5
Step-by-step explanation: This can be represented by the equation
40 + 12T = 25 + 15T
We just solve for T.
Subtract 12T from both sides
40 = 25 + 3T Subtract 25
15 = 3T Divide by 3
5 = T
Answer:
-2
Step-by-step explanation:
3(a+1.5)=-1.5
a+1.5 = - 1.5/3 = - 0.5
a = - 0.5 - 1.5 = - 2
Answer:

Step-by-step explanation:
we know that
The formula to find the sum is equal to

where
a1 is the first term
an is the last term
n is the number of terms
In this problem we have



substitute the values in the formula

A reflection over the line y=x implies exchanging the x and y coordinates of a point. For example if you take a generic point (a,b) then its reflection over y=x is (b,a). Our point is (-1,3) so its reflection over y=x is the point (3,-1).
Then we have to translate it two units left. Translating a point left means that we are moving towards negative x values so we need to substract 2 from the x coordinate:

Finally we have to translate it 1 unit up towards positive y values so we have to add 1 to its y coordinate:

And these are the final coordinates. In the following picture you have the points you get after each step (from A to D) with the y=x line in blue: