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3 years ago

The midpoint between x and 27 is -3. What is x?

Mathematics

1 answer:

Alex_Xolod [135]3 years ago

6 0

Answer:

-33

Step-by-step explanation:

well you can use mid point formula and solve for x

or count how many it takes to get from -3 to 27 and add that to -3 the other direction

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SOMEONE PLEASE HELP Choose the correct simplification of the expression (3xy2)4.

jek_recluse [69]

Answer is A or your first option.

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4 years ago

Read 2 more answers

Which choice is equivalent to the quotient below? √64/√4<br>a. √2<br>b. √4/4<br>c. √8/2<br>d. 4

Ksju [112]

Step-by-step explanation:

you did not even try a calculator to find the result ?

64 is 8×8 or 8².

so, sqrt(64) = 8.

similarly for 4 :

4 is 2×2 or 2².

so, sqrt(4) = 2

so,

sqrt(64)/ sqrt(4) = 8 / 2 = 4

so, d. is the right answer.

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2 years ago

Let A, B, C and D be sets. Prove that A \ B and C \ D are disjoint if and only if A ∩ C ⊆ B ∪ D

ANEK [815]

Step-by-step explanation:

We have to prove both implications of the affirmation.

1) Let's assume that A \ B and C \ D are disjoint, we have to prove that A ∩ C ⊆ B ∪ D.

We'll prove it by reducing to absurd.

Let's suppose that A ∩ C ⊄ B ∪ D. That means that there is an element x that belongs to A ∩ C but not to B ∪ D.

As x belongs to A ∩ C, x ∈ A and x ∈ C.

As x doesn't belong to B ∪ D, x ∉ B and x ∉ D.

With this, we can say that x ∈ A \ B and x ∈ C \ D.

Therefore, x ∈ (A \ B) ∩ (C \ D), absurd!

It's absurd because we were assuming that A \ B and C \ D were disjoint, therefore their intersection must be empty.

The absurd came from assuming that A ∩ C ⊄ B ∪ D.

That proves that A ∩ C ⊆ B ∪ D.

2) Let's assume that A ∩ C ⊆ B ∪ D, we have to prove that A \ B and C \ D are disjoint (i.e. A \ B ∩ C \ D is empty)

We'll prove it again by reducing to absurd.

Let's suppose that A \ B ∩ C \ D is not empty. That means there is an element x that belongs to A \ B ∩ C \ D. Therefore, x ∈ A \ B and x ∈ C \ D.

As x ∈ A \ B, x belongs to A but x doesn't belong to B.

As x ∈ C \ D, x belongs to C but x doesn't belong to D.

With this, we can say that x ∈ A ∩ C and x ∉ B ∪ D.

So, there is an element that belongs to A ∩ C but not to B∪D, absurd!

It's absurd because we were assuming that A ∩ C ⊆ B ∪ D, therefore every element of A ∩ C must belong to B ∪ D.

The absurd came from assuming that A \ B ∩ C \ D is not empty.

That proves that A \ B ∩ C \ D is empty, i.e. A \ B and C \ D are disjoint.

7 0

3 years ago

PLEASEEE HELPPP<br><br> Solve for x:

m_a_m_a [10]

Second option, just do Pemdas backwards.

5 0

3 years ago

Weapon of math destruction trig. day 1

ivolga24 [154]

The questions are illustrations of trigonometry ratios and right triangles

The value of x is 11.8310
The tree is 23.3154 feet tall
The depth of the sub is 376.7770 meters

Trigonometry ratio

Trigonometry ratios are very useful in determining the measure of angles, and the side lengths of a right triangle.

<h3>Question 1</h3>

The value of x is calculated using the following sine trigonometry ratio

$\sin(25) =\frac{5}{x}$

Make x the subject

$x =\frac{5}{\sin(25)}$

This gives

$x =11.8310$

Hence, the value of x is 11.8310

<h3>Question 2</h3>

This question is illustrated by the first diagram in the attached figure

The height (h) of the tree is calculated using the following tangent trigonometry ratio

$\tan(25) =\frac{h}{50}$

Make h the subject

$h = 50 \times \tan(25)$

This gives

$h = 23.3154$

Hence, the tree is 23.3154 feet tall

<h3>Question 3</h3>

This question is illustrated by the second diagram in the attached figure

The depth (h) of the sub is calculated using the following tangent trigonometry ratio

$\tan(37) =\frac{h}{500}$

Make h the subject

$h = 500 \times \tan(37)$

This gives

$h = 376.7770$

Hence, the depth of the sub is 376.7770 meters

Read more about trigonometry ratios at:

brainly.com/question/6241673

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3 years ago