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Nesterboy [21]
3 years ago
7

What is the solution to the equation 1/3 (9x-6)2x=3

Mathematics
1 answer:
jarptica [38.1K]3 years ago
5 0
\frac{1}{3} (9x-6)2x=3 \\ \\ \frac{(9x-6) \times 2x}{3} = 3 \\ \\ \frac{3(3x - 2) \times 2x}{3} = 3 \\ \\ \frac{6x (3x-2)}{3} = 3 \\ \\ 2x(3x-2) = 3 \\ \\ 6x^2 - 4x = 3 \\ \\ 6x^2 - 4x - 3 = 0 \\ \\ x = \frac{4+2 \sqrt{22} }{12} , \frac{2- \sqrt{22} }{12} \\ \\ x = \frac{2+ \sqrt{22} }{6} , \frac{2- \sqrt{22} }{6}
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What is the measure of angle C
maw [93]

Answer:

C = 77°

Step-by-step explanation:

From the intercepted arc theorem, we can say that Angle ABC (angle B) is HALF of the arc intercepted (which is 110).

Hence, angle ABC = 55.

Now, looking at triangle ABC, we know that sum of 3 angles of a triangle is 180. We already know Angle A to be 48 and Angle B to be 55, thus Angle C is:

A + B + C = 180

48 + 55 + C = 180

103 + C = 180

C = 180 - 103

C = 77

4 0
3 years ago
Read 2 more answers
Alex lady sketch for a homemade soccer goal he plans to build . Do you go will be in the shape of a triangular prism . The legs
Otrada [13]
The triangular prism has a volume of
.. V = Bh = (1/2)*(4ft *8 ft)*(24 ft) = 384 ft^3
7 0
3 years ago
the parallel sides of a trapezium are such that the longer side is 4cm more than the shorter side of the distance between them i
saw5 [17]

Answer:

32cm and 28cm

Step-by-step explanation:

Area of a trapezium=0.5 ( sum of parallel sides ) × height

600=0.5( 4+a+a)×20

where a is the length of the shorter side

600÷0.5=(4+2a)×20

1200=(4+2a)×20

1200÷20=4+2a

60=4+2a

60-4=2a

56=2a

56÷2=a

28=a.

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4 0
3 years ago
Which shows one way to determine the factors of x3 11x2 – 3x – 33 by grouping? x2(x 11) 3(x – 11) x2(x – 11) – 3(x – 11) x2(x 11
Aloiza [94]

The one way to determine factors of x³  + 11x² – 3x – 33  will be x^2(x+11)-3(x+11)_.

<h3>What is a factorization?</h3>

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The steps involved in the factorization are;

1. For each pair of parentheses, we create a common factor.

2. We use x2 as a common factor for the first parenthesis.

3. We use common factor 3 for the second parenthesis.

x^3  + 11x^2 - 3x -33 \\\\ x^2(x+11)-3(x+11)_

We will find the final solution as x^2(x+11)-3(x+11)_.

Hence the one way to determine factors of x³  + 11x² – 3x – 33  will be x^2(x+11)-3(x+11)_.

To learn more about the factorization refer to the link;

brainly.com/question/24182713

3 0
2 years ago
Find the LCD of 1/6, 1/10, <br> 1/18,and 1/21
ddd [48]
I do believe that the LCD of those would be 3
6 0
3 years ago
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