Answer:
y = 2x - 25
Step-by-step explanation:
First find the gradient, we can see it goes through (30,35) and 35,45), and since gradient is found by 'change in y / change in x' we can do: (45-35) / (35-30) = 10/5 = 2
So we know we are looking for an equation with 2x in it.
We have two options: y = 2x - 25 and y = 2x - 75.
Plug in one of the points and see which of the equations works.
Replacing y with 35 and x with 30 in the first equation we have: 35 = 2(30) - 25 = 60 - 25 = 35, this is indeed true.
However if we did the same with the second equation: 35 = 2(30)-75 = 60 - 75 = -15, this is false since 35 does not equal -15, so it can't be the second equation.
In conclusion it must be y = 2x - 25
<u>Answer</u>
<span>Reflected over the x-axis and reflected over the y-axis.
<u>Explanation.</u>
When the rectangle ABCD is reflected along the x-axis, the images of ABCD will be A''(-4,-2), B''(-4,-1), C''(-1,-1) and D''(-1,-2).
When the rectangle A'', B'', C'' and D'' is reflected on the y-axis, it will exactly map on to A'B'C'D'.
So, the correct answer from the choices is "</span><span>Reflected over the x-axis and reflected over the y-axis". </span><span>
</span>
Answer:
4/10
Step-by-step explanation:
4 blue and 6 green marbles. = 10 marbles
We draw a second marble
P(blue ) = blue marbles / total marbles = 4/10
The first is an independent even since the marble is replaced
P( blue second given a green first) = 4/10
Answer:
Step-by-step explanation:
Let x represent original price of an item.
We have been given that sales tax is 8.5%. The cost of item after sales tax would be x plus 8.5% of x.
Therefore, our required expression would be .
Answer:
Step-by-step explanation:
take 40 degree as reference angle
using cos rule
cos 40=adjacent/hypotenuse
0.76=5/x
0.76x=5
x=5/0.76
x=6.578
x=6.58