Answer:
Step-by-step explanation:
Turn them into improper fractions
Turn it into a mixed fraction
Answer:
1/2
Step-by-step explanation:
The slope of the points (4,-3) and (3,-1) is -2
The slope of a line perpendicular to said points would be the opposite reciprocal which would be 1/2
heres how you'd find the initial slope of the points
(4, -3)
-1 +2
(3, -1)
Slope= rise/run= 2/-1= -2
Answer:
Step-by-step explanation:
Remark
The red triangle has 1/3 the side length of the blue triangle. So the quick answer is the missing side of the blue triangle is 66
Now no one marking this, if they require work is going to accept that quick line of reasoning, so what you have to do is set up a proportion.
Equation (proportion)
57/19 = x / 22 Cross multiply
Solution
57*22 = 19 * x Divide by 19
57*22/19 = x Divide 19 into 57 (which is 3)
3 * 22 = x
x = 66
In a linear function, the formula you are looking at is in point-slope form. y=mx+b
m is the slope. In this case, the slope is 2. slope is rise over run. 2 in fraction form is 2 over 1, meaning for every 1 unit you move on the x-axis, you'll move 2 units on the y-axis.
b is the y-intercept. The y-intercept is the point on the y-axis of the graph. Since the y-intercept is -1, you know one of the points is (0, -1). Place that point on your graph, then use the slope from earlier (rise 2, run 1) to add more points to the graph.
Step-by-step explanation:
it is a right-angled triangle, so the side lengths need to fulfill the Pythagoras rule :
c² = a² + b²
where c is the Hypotenuse, the baseline opposite of the 90 degree angle. and a and b (often called legs) are the sides "enclosing" the 90 degree angle.
so, we have
20² = a² + 12²
400 = a² + 144
a² = 256
a = 16
FYI - we could have picked the right answer also by eliminating the wrong given answer options.
as this is a right-angled triangle :
a cannot be longer than the baseline (20).
that eliminates already the first 2 options.
and then look at the picture : a cannot be shorter than b (the other side line (12)).
that eliminates the third option.
