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3 years ago

What is the sum of 1/9, 2/3, and 5/18? A. 19/18 B.4/15 C. 12/9 D. 8/20

Mathematics

1 answer:

kari74 [83]3 years ago

8 0

Answer:

19/18

Step-by-step explanation:

The GCF of 9, 3, and 18 is 18.

Each denominator must be multiplied to 18, and as a result what you multiply in the denominator MUST be multiplied in the numerator.

9 * 2 = 18

1 * 2 = 2

2/18

3 * 6 = 18

6 * 2 = 12

12/18

5/18

Add all three fractions together:

12/18 + 5/18 + 2/18 = 19/18

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Please help me! i got this wrong and i dont know what i did wrong

Genrish500 [490]

Answer: See you have to understand the problem and then solve it Answer is: 5g - 2/10

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3 years ago

Find equation of set of points pieces that its distance from the point 3, 4, -5 and -2, 1, 4 are equal.

Gnesinka [82]

Answer:

Step-by-step explanation:

Suppose we a point $P(x,y,z)$ such that its distance from either the point $A(3,4,-5)$ or $B(-2,1,4)$ is the same.

Using this information we can formula:

distance AP = distance BP

first, let's find the distance from AP, using the distance formula.

$r = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2 + (z_1 - z_2)^2}$

$AP = \sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2}$

similarly, we can find the distance BP

$BP = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}$

since both distances are exactly the same we can equate them

$AP = BP$

$\sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2} = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}$

we can simplify it a bit squaring both sides, and getting rid of the subscripts.

$(3 - x)^2 + (4 - y)^2 + (-5 - z)^2 = (-2 - x)^2 + (1 - y)^2 + (4 - z)^2$

what we have done here is formulated an equation which consists of any point P that will have the same distance from (3,4,-5) and (-2,1,4).

To put it more concretely,

This is the equation of the the plane from that consists of all points (P) from which the distance from both (3,4,-5) and (-2,1,4) are equal.

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3 years ago

Which answers are examples of the Law of Detachment? Select each correct answer. If an object is a square, it is a parallelogram

MAXImum [283]

The law of detachment is a set of three sentences, such that:

Sentence 1 is a statement of the form If p, then q
Sentence 2 is a statement of the form p
Sentence 3 is a conclusion of the form q

Let's see which of the options follow the pattern indicated above:

Option A: If an object is a square, it is a parallelogram. The object is a square. The object is a parallelogram. - MATCHES THE ABOVE PATTERN. Hence, is an example of the Law of Detachment.

Option B: If two angles are linear pairs, the angles are supplementary. The two angles are linear pairs. Therefore, the angles are supplementary. - DOES NOT MATCH THE ABOVE PATTERN.

Option C: If it is snowing, the play will be cancelled. If the play is cancelled, the theater will refund the cost of admission. Therefore, if it is snowing, the theater will refund the cost of admission to the play. - DOES NOT MATCH THE ABOVE PATTERN.

Option D: If it is snowing, the play will be cancelled. It is snowing. Therefore, the play is cancelled. - MATCHES THE ABOVE PATTERN. Hence, is an example of the Law of Detachment.

Hence, option A and option D are examples of the Law of Detachment.

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3 years ago

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timofeeve [1]

Answer: no

Step-by-step explanation:

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3 years ago

ANSWER THESE AND I WILL MARK BRAINLIEST

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