Answer:
a) 16.25 centimeters
b) 6.8 centimeters
Step-by-step explanation:
We can set up a proportion for both of these problems.
a) Look at the longest side of each triangle. We can set up a fraction: 7.2/18. We can also set up a fraction for XZ and PR:
6.5/x
x represents the length you're trying to find.
Since the triangles are similar, we have an equation:
7.2/18=6.5/x
Cross multiply
16.25
XZ is 16.25 centimeters long.
b)
We can do same thing:
7.2/18=x/17
Cross multiply
6.8
QR is 6.8 centimeters long.
Hope this helps!
Answer:
a
Step-by-step explanation:
Recall that the "point-slope" form of a linear equation may be expressed as
y = mx + b,
where m is the gradient.
If m is negative, the gradient is negative.
If m is positive, the gradient is positive.
In our case, if we consider option A,
x + 3y = -2 (rearranging)
3y = -x -2
y = (-1/3) x - (2/3)
if we compare this to the general equation at the top, we can see that
gradient, = m = (-1/3) which is negative.
hence option a has a negative gradient.
Answer:
Line JK passes through points J(-4,-5) and K(-6, 3).
Line JK has form of y = mx + b
=> -5 = -4m + b
=> 3 = -6m + b
Subtract 2nd equation from 1st equation:
=> -8 = 2m
=> m = -4
Substitute back m = -4 into 1st equation:
=> -5 = -4(-4) + b
=> b = -21
Hope this helps!
:)
36 engies divied by 2 =18 so rows of 18 engies
72 box cars divied by 4=18 so you 4 rows of boxcars with 18 in each 18 cabooses is just 1 row with 18 cabooses in it
