10. acute angles: 0
Right angles: 4
Obtuse angles: 0
Perpendicular lines: 0
Parallel lines: 2
11. Acute angles: 2
Right angles: 0
Obtuse angles: 1
Perpendicular lines: 0
Parallel lines: 0
12. H
For the answer to the question above asking to s<span>olve 1/2(4x + 6) = 1/3(9x - 24) with and without using the LCD of the fraction.
The problem is simple.
just multiply 1/2 to 4x + 6 which will result to 2x+3
same method on the 1/3 to 9x - 24 and it will result to 3x-8
2x+3 = 3x - 8
3x-2x = 8+3
then the answer will be x= 11</span>
The range of the <em>quadratic</em> function y = (2 / 3) · x² - 6 is {- 6, 0, 18, 48}.
<h3>What is the range of a quadratic equation?</h3>
In this case we have a <em>quadratic</em> equation whose domain is stated. The domain of a function is the set of x-values associated to only an element of the range of the function, that is, the set of y-values of the function. We proceed to evaluate the function at each element of the domain and check if the results are in the choices available.
x = - 9
y = (2 / 3) · (- 9)² - 6
y = 48
x = - 6
y = (2 / 3) · (- 6)² - 6
y = 18
x = - 3
y = (2 / 3) · (- 3)² - 6
y = 0
x = 0
y = (2 / 3) · 0² - 6
y = - 6
x = 3
y = (2 / 3) · 3² - 6
y = 0
x = 6
y = (2 / 3) · 6² - 6
y = 18
x = 9
y = (2 / 3) · 9² - 6
y = 48
The range of the <em>quadratic</em> function y = (2 / 3) · x² - 6 is {- 6, 0, 18, 48}.
To learn more on functions: brainly.com/question/12431044
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Answer:
1.5 = log8(22.627)
Step-by-step explanation:
log4(8) = 1.5
To change base
log a(b)
logc (b)
--------------
logc (a)
Chanding to base 8 we want c =8 (we know a = 4 and b =8)
log8 (8)
----------------
log8 (4)
1
---------
log8(4)
log8(22.627)
Answer:
times the height, width and base
Step-by-step explanation:
