B: (0, a)
C should have the same y value as B
D: (a,0)
C should have the same x value as D
So point C is (a,a)
Since point A is on the origin, its point is (0,0)
You use the slope formula and plug in point A and C:
m = 1
So the value that belongs in the green box is 1
For a quadratic of the form
, we have the quadratic formula
,
where a is the coefficient (number before the variable) of the squared term, b is the coefficient of the linear term, and c is the constant term.
So, given
, we can get that
, and
. We substitute these numbers into the quadratic formula above.
This is our final answer.
If you've never seen the quadratic formula, you can derive it by completing the square for the general form of a quadratic. Note that the
symbol (read: plus or minus) represents the two possible distinct solutions, except for zero under the radical, which gives only one solution.
Answer:
3/5
4/3
2/1
3/1
Step-by-step explanation:
turn them to ratios and fractions and try to simplify
3/5=3/5
4/3=4/3
2/1=2/1
6/2=3/1
so put the end results in order
so all of them have a bigger numerator than denominator, except one. 3/5. Thats the slowest one.
4/3 isn't quite 2 wholes, but 2/1 is, so 4/3 is second last and 2/1 is second.
3/1 is the first.
Answer:
x = 11
Step-by-step explanation:
69° + (2x - 1)° = 90° (complementary angles)
69 + 2x + 1 = 90
Add like terms
69 - 1 + 2x = 90
68 + 2x = 90
Subtract 68 from each side
68 + 2x - 68 = 90 - 68
2x = 22
Divide both sides by 2
2x/2 = 22/2
x = 11
Since both triangles are similar triangles, you are able to find the scale factor through the perimeter.
Perimeter of the 3 4 5 triangle is 12cm.
Scale factor = 30/12
= 2.5
Multiply the scale factor with the 3 4 5 triangle.
3 x 2.5 = 7.5 cm
4 x 2.5 = 10 cm
5 x 2.5 = 12.5 cm
To summarize, all 3 new values should sum up to 30cm.
