Triangle ABE is similar to triangle CED (AAA)
10/8 = (2x+6) / (x+6)
x=2
therefore AE = 2(2) + 6
= 10 units
Answer:
21√2 m
Step-by-step explanation:
AC = √AD²+CD²
= √21²+21²
=√2×21²
= 21√2 m
Answer:
y=-4x-18
Step-by-step explanation:
To find the slope of the function, you need two points in order, the first point having its x and y coordinates labeled as x1 and y1, and the second point having its coordinates labeled as x2 and y2. then, use the equation for slope, which is m=(y2-y1)/(x2-x1), and plug in the numbers. You should get m=(-10+2)/(-2+4)= -8/2= -4.
Then, use the slope and a point on the graph, and plug it into point slope form, which is y-y1=m(x-x1). No matter what point you use, you should get the same thing. I used the point (-2, -4). Using this point, the steps to arrange the equation in slope intercept form is: y+2=-4(x+4)=> y+2=-4x-16 => y=-4x-18.
Answer:The missing number is 27
Step-by-step explanation:It is a matter of spotting the relationship if you can. If not obvious you will need to experiment to find what type of sequence it is; geometric or arithmetic.
Observe that there is a connection of 3 in the numbers 1,3,9 in that
1
×
3
=
3
Lets experiment with that for a moment!
If we apply the same rule to 3 what will we get?
3
×
3
=
9
which is correct.
Ok. lets apply the same rule yet again!
9
×
3
=
27
Using 27, if we apply the rule once more and get 81 we have found the correct 'rule' for this sequence.
27
×
3
=
81
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
This works so the missing number is 27
