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777dan777 [17]
3 years ago
5

Solve these system of linear equations:

Mathematics
1 answer:
frutty [35]3 years ago
5 0
1.solve for y
 2x+4y=12      
<u>  </u><span><u> -2x       -2x</u>
</span><u>4y</u>=<u>12-2x</u>
<u>4       4</u>
y=3-1/2x

step2 plug in y and solve for x
2x+8y=24
2x+8(3-1/2x)= 24
2x+24-4x=24
<u>-2x</u>=<u>0
</u><u>-2    -2</u>
 x=0
last step plug in x and solve for y

y=3-1/2x(0)
y=3

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Solve the volume for the triangular prism
NeTakaya

Answer:

9.5 cubic units

Step-by-step explanation:

You need to multiply everything together and divide by 2.

5 x 2 x 1.9/2 = v

19/2 = v

9.5 cubic units

8 0
3 years ago
Find the solution of the system of equations.<br>6x + 8y = -8<br>x + 4y = 4<br>( , )​
ladessa [460]

Answer:

the solution is (-4, 2)

Step-by-step explanation:

6x + 8y = -8

x + 4y = 4

... can be solved using elimination by addition and subtraction, among other methods.  Multiply the second equation by -2 to obtain

6x + 8y = -8

-2x - 8y = -8

Combining these results in

4x = -16.  Thus, x = -4.

Substituting -4 for x in x + 4y = 4 results in

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Then the solution is (-4, 2)

8 0
3 years ago
Let A = {1,2,3,..., 8, 9, 10} B = {4, 7, 10}
Dovator [93]

The answers to the questions are

(i) B - A = Ф / null set

(ii) A - B = {1, 2, 3, 5, 6, 8, 9}

(iii) (A - B) ∩ (B - A) = Ф / null set

(iv)  (A - B) ∪ (B - A) = {1, 2, 3, 5, 6, 8, 9}

A set contains different elements which are mathematical objects of any kind such as numbers, points, spaces, lines e.t.c.

Different types of set are -singleton setsfinite and infinite setsempty or null sets equal sets unequal sets equivalent sets overlapping sets disjoint sets subsets super sets power sets universal sets

According to question,

i ] B - A = 0/null set

ii ] A - B = [ 1,2,3,5,6,8,9 ]

iii ]   (A-B) n (B-A) = 0/ null set

iv ]  (A-B) u ( B-A) = [ 1,2,3,5,6,8,9 ]

Hence, the answers to the questions are

(i) B - A = Ф / null set

(ii) A - B = {1, 2, 3, 5, 6, 8, 9}

(iii) (A - B) ∩ (B - A) = Ф / null set

(iv)  (A - B) ∪ (B - A) = {1, 2, 3, 5, 6, 8, 9}

To understand more about Set Theory refer - brainly.com/question/13458417#SPJ9

4 0
1 year ago
There are 16 ounces in one pound.
Kobotan [32]

Answer:

E

Step-by-step explanation:

You just multiply 16 by 4.

7 0
3 years ago
Read 2 more answers
Identify BR rounded to the nearest tenth. HELP PLEASE!!
ahrayia [7]

Answer:

<h2>BR ≈ 49.0</h2>

Step-by-step explanation:

Use cosine:

cosine=\dfrac{adjacent}{hypotenuse}

We have

adjacent=42\\hypotenuse=BR\\\alpha=31^o

\cos31^o\approx0.8572

Substitute:

\dfrac{42}{BR}=0.8572

\dfrac{42}{BR}=\dfrac{8,572}{10,000}          <em>cross multiply</em>

8,572BR=420,000                <em>divide both sides by 8,572</em>

BR=\dfrac{420,000}{8,572}

BR\approx49.0

5 0
3 years ago
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