12 = x² - x
12 - 12 = x² - x - 12
0 = x² - x - 12
x² - x - 12 = 0
x = <u>-(-1) +/- √((-1)² - 4(1)(-12))</u>
2(1)
x = <u>1 +/- √(1 + 48)</u>
2
x = <u>1 +/- √(49)
</u> 2
x = <u>1 +/- 7</u>
2
x = 0.5 +/- 3.5
x = 0.5 + 3.5 x = 0.5 - 3.5
x = 4 x = -3
<u />
Answer: he got 80/100 or 80% right
Step-by-step explanation:
24/30 = 12/15
12/15 as a percent:
100/15 = 6.66666666666667
12 x 6.66666666667
15 x 6.66666666667
= 80/100 or 80%
Answer:
h=7
Step-by-step explanation:
Answer:
y - 3 = -1/2(x + 2)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Slope Formula:
Point-Slope Form: y - y₁ = m(x - x₁)
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-2, 3)
Point (6, -1)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:
- Subtract/Add:
- Simplify:
<u>Step 3: Write linear equation</u>
Point-Slope Form: y - 3 = -1/2(x + 2)
Answer:
72
Step-by-step explanation:
One way to do this is to use the formula where and are the lengths of the two diagonals.
In the figure, and (2 + 10 and 6 + 6).
The area is square units.
Another way that doesn't depend on learning a formula is to remember that the diagonals of a kite are perpendicular, so the 4 small triangles are right triangles. Two of the smaller triangles have base =2 and height = 6, so their areas are 1/2(2)(6) = 6. Double that--there are 2 congruent small triangles--to get an area of 12.
There are two larger right triangles with base =10 and height = 6, so their area are 1/2(10)(6)=30. There are two of those, so their combined area is 60.
Finally, put the small triangle area and the large triangle area together to get a total of 12 + 60 = 72