For the red line, we have:
gradient (
) = 1/3
y-intercept = 3
Equation of straight line is given by
, where
is the gradient and
is where the line intercept the y-axis
So we have,
The shaded part is above the line, hence the first inequality is
The black line, we have
gradient,
= 3
y-intercept = -2
, rearranging gives
The shaded region is to the right of the line, hence the inequality is
Note: The first option should be the correct answer but the inequality sign for <span>y > 1/3x + 3 should be </span>
Answer:
<h2>96 and 48</h2>
Step-by-step explanation:
To solve this problem we have to find the largest possible greatest common factor, which is 48.
Now, numbers 96 and 48 have as Greatest Common Factor 48, that's the largest number possible that is common to both numbers because
48/48 = 1
96/48 = 2
Therefore, the answer is 96 and 48, because they don't have repetitive digits.
Answer:
Step-by-step explanation:
Answer:
12 x 2+23 x −24=0. Enter an equation ... The first term is, 12x2 its coefficient is 12 . ... B ± √ B2-4AC x = ———————— 2A In our case, A = 12. B = 23. C = -24
Step-by-step explanation:
12 x 2+23 x −24=0. Enter an equation ... The first term is, 12x2 its coefficient is 12 . ... B ± √ B2-4AC x = ———————— 2A In our case, A = 12. B = 23. C = -24
The area of a trapezoid is basically the average width times the altitude, or as a formula:
Area = h ·
b 1 + b 2
2
where
b1, b2 are the lengths of each base
h is the altitude (height)
Recall that the bases are the two parallel sides of the trapezoid. The altitude (or height) of a trapezoid is the perpendicular distance between the two bases.
In the applet above, click on "freeze dimensions". As you drag any vertex, you will see that the trapezoid redraws itself keeping the height and bases constant. Notice how the area does not change in the displayed formula. The area depends only on the height and base lengths, so as you can see, there are many trapezoids with a given set of dimensions which all have the same area.
