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Dmitry [639]
3 years ago
10

⚠️10 points⚠️

Mathematics
1 answer:
Lostsunrise [7]3 years ago
7 0

Answer:

8.9

Step-by-step explanation:

The distance between each point is 8.9, hope this helps!

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You will write a 5-paragraph essay explaining how you would solve the following equation:
sattari [20]

Answer:

x=0

Step-by-step explanation:

\frac{7}{3}(2x+3)+\frac{3}{4}(\frac{x}{5}-\frac{15}{2})=\frac{11}{8} <-- Given

\frac{14}{3}x+7+\frac{3}{20}x-\frac{45}{8}=\frac{11}{8} <-- Distributive Property

\frac{280}{60}x+7+\frac{9}{60}x-\frac{45}{8}=\frac{11}{8} <-- Find LCD of x-terms

\frac{289}{60}x+7-\frac{45}{8}=\frac{11}{8} <-- Combine Like Terms

\frac{289}{60}x+7=\frac{56}{8} <-- Add 45/8 to both sides

\frac{289}{60}x+7}=7 <-- Simplify Right Side

\frac{289}{60}x=0 <-- Subtract 7 on both sides

x=0 <-- Divide both sides by 289/60

3 0
2 years ago
Using properties of sets show that : a) A ∩ (A’ U B) = A ∩ B b) A ∩ (A U B )’ = Ф
asambeis [7]

Answer:

a) From A ∩ A' = ∅, we have;

A ∩ (A' ∪ B) = A ∩ B

b) From A ∩ (A' ∩ B') = (A ∩ A') ∩ B' and A ∩ A' = ∅, we have;

A ∩ (A ∪ B)' = ∅

Step-by-step explanation:

a) By distributive law of sets, we have;

A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

From the complementary law of sets, we have;

A ∩ A' = ∅

Therefore, for A ∩ (A' ∪ B) = A ∩ B, we have

A ∩ (A' ∪ B) = (A ∩ A') ∪ (A ∩ B) (distributive law of sets)

A ∩ A' = ∅ (complementary law of sets)

Therefore;

(A ∩ A') ∪ (A ∩ B) = ∅ ∪ (A ∩ B)  = (A ∩ B) (Addition to zero identity property)

∴  A ∩ (A' ∪ B) = A ∩ B

b) By De Morgan's law

(A ∪ B)' = A' ∩ B'

Therefore, A ∩ (A ∪ B)' = A ∩ (A' ∩ B')

By associative law of sets, we have;

A ∩ (A' ∩ B') = (A ∩ A') ∩ B'

A ∩ A' = ∅ (complementary law of sets)

Therefore, (A ∩ A') ∩ B' = ∅  ∩ B' = ∅

Which gives;

A ∩ (A ∪ B)' = ∅.

4 0
3 years ago
M+3=5:m=? please give me explained​
storchak [24]

Answer: M = 2

Step-by-step explanation:

Given equation: m+3=5

You need to isolate m so you can find its value. Subtract 3 from the left side, and do the same to the right side. Subtracting 3 from 5 as well makes the number become 2 on the right side of the equation. Therefore, m=2.

A rule you should always remember is when you have a value on each side of the equal sign, whatever form of addition, subtraction, multiplication, or division should be done to the other side as well.

6 0
3 years ago
Choose the correct simplification of the expression 9 over h to the power of negative 3
Vitek1552 [10]
Remove the negative exponent by rewriting x^-3 as 1/x^3
(9)/(1/x^3)
multiply the numerator by the reciprocal of the denominator
9x^3
8 0
3 years ago
Read 2 more answers
What is the x-intercept of the equation y=-5x+1,450?​
ladessa [460]

Substitute the value for y as 450

450=-5x+1

Solve for x

450-1=-5x

449=-5x

89.8=-x

x=-89.8

6 0
3 years ago
Read 2 more answers
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