Answer:
For question 2 (Triangle):
The triangle hThe entire triangle area = 2 * 13.125 =
26.25
Triangle perimeter both legs = 16.6 + base (7) = 23.6
For question 1 (Parallelogram):
longer congruent sides = 6-0 OR 4-(-2) = 6units
area= 3×6 = 18units^2
9 is the base of the triangle 4 is the leg and 5 is the
Answer:
, where n = 1,2,3,4,.....
Step-by-step explanation:
The given sequence : 1, 8, 27, 64, ….
We observe that the terms are perfect cubes of consecutive integers (starting from 1) .
Terms can be written as:
First term = 
Second term=
Third term = 
Fourth term =
Thus , for any nth term ,the formula for the sequence is :
, where n = 1,2,3,4,.....
Y = 3x + 3
y = x - 1
As you can see, both equations are set to equal y. This means the right sides of each equation are equal, since y is isolated in both equations. So to solve this particular system of equations for x, set the right sides of both equations equal to each other. After you've done that, you can proceed to solve the equation algebraically for the variable, x.
3x + 3 = x - 1
2x + 3 = -1
2x = -4
x = -2
Negative two is the x-value. To find the y-value, substitute -2 for x into either equation and solve algebraically for y.
y = x - 1
y = -2 - 1
y = -3
The final step is to check all work by plugging both x- and y-values back into both equations.
y = 3x + 3
-3 = 3(-2) + 3
-3 = -6 + 3
-3 = -3 -- This is true
y = x - 1
-3 = -2 - 1
-3 = -3 -- This is true.
Answer:
(-2, -3)
Answer:
55 pages
Step-by-step explanation:
Knowing that the <em>book holds 600 cards and 6 cards/page</em>, we can tell that there are <em>100 pages</em>.
From that, we know that 45% are empty, which means <em>55% of all of the pages have cards</em>.
55% of 100 is 55. Therefore, 55 pages have baseball cards.