We use different models for different types of variation. For example, linear variation is associated with the formula y=ax, or the more familiar y=mx+b (the equation of a straight line). Cubic variation: y=a*x^3. In the present case we're discussing quadratic variation; perhaps that will ring a bell with you, reminding you that y=ax^2+bx+c is the general quadratic function.
Now in y our math problem, we're told that this is a case of quadratic variation. Use the model y=a*x^2. For example, we know that if x=2, y =32. Mind substituting those two values into y=a*x^2 and solving for y? Then you could re-write y=a*x^2 substituting this value for a. Then check thisd value by substituting x=3, y=72, and see whether the resulting equation is true or not. If it is, your a value is correct. But overall I got 16!
Its best to turn fractions into decimals so its easier to solve the problem, in order to do this you would divide the number on the top to the number on the bottom. Ex: 1 divide by 2 So the numerator divided by the denominator. The top of the faction is the numerator and the bottom of the faction is the denominator. So 1 divided by 2 = 0.5 you would replace 0.5 for the 1/2.
Since E is the midpoint, DE and EF are the same length.
Set the equation DE and EF equal to each other and solve for x.
2x + 4 = 3x - 1
x = 5
Then plug in 5 to find the length.
DE = 2(5) + 4 = 14
EF = 3(5) - 1 = 14
DF = DE + EF = 28
Answer:
<u>Properties of a rhombus used to solve the following </u>
- <em>Opposite angles are congruent</em>
- <em>Diagonals are angle bisectors</em>
- <em>Diagonals are perpendicular to each other</em>
- <em>Adjacent angles are supplementary</em>
(30)
- ∠2 = ∠3 = ∠5 = 27°
- ∠1 = ∠4 = 180° - (2*27°) = 126°
(31)
- ∠4 = 70°
- ∠1 = ∠2 = ∠3 = ∠5 = 1/2(180° - 70°) = 1/2(110°) = 55°
(32)
- ∠1 = ∠2 = ∠5 = 90° - 26° = 64°
- ∠3 = 26°
- ∠4 = 90°
Slope= -1/3
14-9/-7-8
5/-15
1/-3
