Step-by-step explanation:
y=mx+b since 6 is the y intercept go up six and back -4 times each since it is the x intercept
So, we have the percentage she gets which is, 90% and the number of questions she answers correctly, which is 27
To find the number of questions in the exam, make an equation
(90% =
= 0.9)
=
cross multiply and equate them
90x = 27 x 100
90x = 2700
divide by 90 on either sides to isolate x in order to find the answer
90 and 90 cancels out
x = 30So your final answer will be,
there were 30 questions in the exam paper.
Answer:
Step-by-step explanation:
The 2 figures are similar so corresponding sides are in the same ratio.
The factor is the value that you have to multiply a side in the first rectangle to get the corresponding side in the second rectangle.
12 ----> 9
So:
12 * f = 9 where f is the factor
f = 9/12 = 3/4.
Answer:
The equation of the line would be y = -1/4x + 2
Step-by-step explanation:
In order to solve this, start by finding the slope of the original line. You can do this by solving for y.
28x - 7y = 9
-7y = -28x + 9
y = 4x - 9/7
Now that we have a slope of 4, we know that the perpendicular slope is -1/4 (since perpendicular lines have opposite and reciprocal slopes). We can use this and the new point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 1 = -1/4(x - 4)
y - 1 = 1/4x + 1
y = -1/4x + 2