Answer:
x = -2
General Formulas and Concepts:
<u>Pre-Algebra
</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define
</u>
6 - 9x = 5x - 9x + 16
<u>Step 2: Solve for </u><em><u>x
</u></em>
- Combine like terms: 6 - 9x = -4x + 16
- Add 9x on both sides: 6 = 5x + 16
- Subtract 16 on both sides: -10 = 5x
- Divide 5 on both sides: -2 = x
- Rewrite: x = -2
Answer:
13.7477270849 to 19.7230829233.
Step-by-step explanation:
1. Using the pythagorean theorem, a²+b²=c², we try different combinations of given lengths 10 and 17.
2. If 10 and 17 are legs and 10²+17²=√389 = 19.7230829233, then c=19.7230829233.
3. If 10 is a leg and 17 is a hypotenuse,
10²+b²=17²
100+b²=289
b²=189
b=13.7477270849
4. The case of 17 is a leg and 10 is a hypotenuse is not possible because the hypotenuse is the longest side.
5. The range of the length of the 3rd side is 13.7477270849 to 19.7230829233.
Answer:
Area = 1,527 in
Step-by-step explanation:
Circle area = π * r² = π * 3136 [cm²] ≈ 1527 [in²]
π ≈ 3.14159265 ≈ 3.14
d = r * 2 = 56 [cm] * 2 = 44.094 [inch]
Answer:
We have 7.2 / a = 6 / -4;
Then a = ( - 4 x 7.2 ) / 6;
a = - 28.8 / 6;
a = - 4.8;
Step-by-step explanation:
For part a: you just need to find how far the vertex has been moved from the origin, or the point (0,0). As the vertex is at the point (2,-3), it has been translated right 2 horizontally and down 3 vertically.
For part b: you use the info found in part a to create the equation in the form of y=A(x-h)^2+k. In this case, A =1, so you can ignore it. The h value is the horizontal distance the vertex has been moved. Since it has been moved right 2, this part of the equation would be (x-2). I know it seems like it should be plus 2, but values in parentheses come out opposite. For the k value, find the vertical shift, which is down3, or -3.
Now that you have h and k, substitute them back into the equation.
Your final answer for part b is: y=(x-2)^2 -3.