Answer:
s = 3
Step-by-step explanation:
we know the rectangles are similar
2 × __ = 16
s × __ = 24
so,
16÷2 = 8
2 × 8 =16
s × 8 =24
then,
24 ÷ 8 = s
3 = s
2 × 8 = 16
3 × 8 =24
hoped i helped :)
1. Reduction: 1/2
2. 200 millimeters
3. Glide Reflection
Answer:
2 solutions
Step-by-step explanation:
I like to use a graphing calculator to find solutions for equations like these. The two solutions are ...
__
To solve this algebraically, it is convenient to subtract 2x-7 from both sides of the equation:
3x(x -4) +5 -x -(2x -7) = 0
3x^2 -12x +5 -x -2x +7 = 0 . . . . . eliminate parentheses
3x^2 -15x +12 = 0 . . . . . . . . . . . . collect terms
3(x -1)(x -4) = 0 . . . . . . . . . . . . . . . factor
The values of x that make these factors zero are x=1 and x=4. These are the solutions to the equation. There are two solutions.
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<em>Alternate method</em>
Once you get to the quadratic form, you can find the number of solutions without actually finding the solutions. The discriminant is ...
d = b^2 -4ac . . . . where a, b, c are the coefficients in the form ax^2+bx+c
d = (-15)^2 -4(3)(12) = 225 -144 = 81
This positive value means the equation has 2 real solutions.
Answer:
(6x² - 5)(x² + 2)
Step-by-step explanation:
Given
6
- 5x² + 12x² - 10 ( factor the first/second and third/fourth terms )
= x²(6x² - 5) + 2(6x² - 5) ← factor out (6x² - 5) from each term
= (6x² - 5)(x² + 2)
Answer:
the answer is 7/9
Step-by-step explanation: