Use the product to simplify the expression. write your answer in exponential notation.
2 answers:
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If the triangles are similar, the proportion of the legs on the left to the legs on the right will be equal. This proportion would look like:
(You needed to combine the orange segment and the yellow segment to find the total length of the large triangle).
Now, cross multiply and solve for x:
28x+14=30x
<em>*Subtract 28x from both sides to isolate the variable*</em>
14=2x
<em>*Divide both sides by 2*</em>
7=x
Hope this helps!!
Answer:
The correct option is (B)
(B) x-y = 6 , 3x+4y = 4
Step-by-step explanation:
As we can see in the graph given below, both lines intersect at (4, -2), which should be the solution of given equations:
Find the values of x and y for (B);
x - y = 6 ⇒ (i)
3x + 4y = 4 ⇒ (ii)
Lets consider equation (i)
x - y = 6
x = 6 + y
Substitute in equation (ii)
3(6+y) + 4y = 4
18 + 3y + 4y = 4
7y = -14
y = -2
Substitute in equation (i)
x - (-2) = 6
x + 2 = 6
x = 6 - 2
x = 4
As solution of part C is also (4, -2), it represents the graph
You can also find the (x, y) for other options the similar way, which will show you they don't have the same value
