Add
4
x
4
x
to both sides of the equation.
y
=
−
28
+
4
x
y
=
-
28
+
4
x
Rewrite in slope-intercept form.
Tap for more steps...
y
=
4
x
−
28
y
=
4
x
-
28
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
4
4
y-intercept:
−
28
-
28
Any line can be graphed using two points. Select two
x
x
values, and plug them into the equation to find the corresponding
y
y
values.
Tap for more steps...
x
y
2
−
20
3
−
16
x y 2 -20 3 -16
Graph the line using the slope and the y-intercept, or the points.
Slope:
4
4
y-intercept:
−
28
-
28
x
y
2
−
20
3
−
16
x y 2 -20 3 -16
image of graph
y
−
4
x
=
−
2
8
y
-
4
x
=
-
2
8
28
x
28
x
28
x
2
28
x
2
28
x
3
28
x
3
1cm *10 = 10km
40cm * 10 = 400 km
50km/50 = 1cm
400km/50 = 8cm
A: 8cm
When the question says that triangle ABC ~ triangle DEF, that means the triangles are similar. This means that their proportions are the same.
In triangle ABC, side length AB is the equivalent of side length DE in triangle DEF.
Since the proportions must be the same, we can take the known side from triangle ABC, find the equivalent of it on triangle DEF, and find the proportions.
We already found that side length AB ~ side length DE.
Now we can divide the lengths to find the proportions.
28 / 8 = 3.5
This means that each side on triangle ABC will be 3.5 times greater than the equivalent side on triangle DEF.
The length of AC in triangle ABC is 3.5 times the length of DF in triangle DEF.
Side length DF is 10.
Multiply 3.5 by 10 to get the length of AC.
3.5 • 10 = 35
So the length of AC is 35 units.
Answer:
Side length AC in triangle ABC is 35 units.
Hope this helps!
A man invests $2000 into an account that accrues 8.5% interest compounded quarterly. He made the deposit of 2 years , i.e. for 8 quarters ( or 8 compounding periods)
Amount after n years is calculated by following equation :
Amount = Principal * ( 1 + Interest rate per compounding period ) ^ no. of compounding periods
The amount in his account after 2 years = 2000 * ( 1 + 0.085/4) ^ 8
= 2000 * (1.02125 ) ^ 8
= 2000 * 1.18319
= $2366.39
Answer:
-3
hope this helps!
Step-by-step explanation:
(-1)3 - (-1) - 1 =
-3 - (-1) - 1 =
-2 - 1 = -3
