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3 years ago

Can someone please help me

Mathematics

1 answer:

Zepler [3.9K]3 years ago

4 0

Answer:

11.2

Step-by-step explanation:

Calculate the length using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = B(4, 7) and (x₂, y₂ ) = C(2, - 4)

d = $\sqrt{(2-4)^2+(-4-7)^2}$

= $\sqrt{(-2)^2+(-11)^2}$

= $\sqrt{4+121}$

= $\sqrt{125}$ ≈ 11.2

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Solve the system: 2/x - 3/y =-5; 4/x + 6\y =14

sertanlavr [38]

The solution is $x = 2 \text{ and } y = \frac{1}{2}$

Solution:

Let us assume,

$a = \frac{1}{x}\\\\b = \frac{1}{y}$

Given system of equations are:

$\frac{2}{x} - \frac{3}{y} = -5$

$\frac{4}{x} + \frac{6}{y} = 14$

Rewrite the equation using "a" and "b"

2a - 3b = -5 ------------ eqn 1

4a + 6b = 14 -------------- eqn 2

Let us solve eqn 1 and eqn 2

Multiply eqn 1 by 2

2(2a - 3b = -5)

4a - 6b = -10 ------------- eqn 3

Add eqn 2 and eqn 3

4a + 6b = 14

4a - 6b = -10

( - ) --------------------

8a = 4

$a = \frac{4}{8}\\\\a = \frac{1}{2}$

Substitute a = 1/2 in eqn 1

$2(\frac{1}{2}) -3b = -5\\\\1 - 3b = -5\\\\3b = 6\\\\b = 2$

Now let us go back to our assumed values

Substitute a = 1/2 in assumed values

$a = \frac{1}{x}\\\\\frac{1}{2} = \frac{1}{x}\\\\x = 2$

Substitute b = 2 in assumed value

$b = \frac{1}{y}\\\\2 = \frac{1}{y}\\\\y = \frac{1}{2}$

Thus the solution is $x = 2 \text{ and } y = \frac{1}{2}$

3 0

3 years ago

Find A U C. A) {2,3,5,6,7,9,11} B) {3,5,6,7,8,11,12} C) {3,5,6,7} D) {3,5,7}

Natalija [7]

Answer:

A U C = {2,3,5,6,7,9,11}

Step-by-step explanation:

A = {2,3,5,6,7,9,11}

C = {3,5,6,7}

The union of two sets is a set that has every element that belongs to one or the other set.

A U C = {2,3,5,6,7,9,11}

6 0

3 years ago

Please help, i don’t know how to do either of these. *will mark brainliest*

I am Lyosha [343]

Answer:

Step-by-step explanation:

Area is base times height. Parallelogram area/3

triangle area/4

5 0

3 years ago

A plane descends 1,200 feet then it descends 500 feet what is the answer

SSSSS [86.1K]

Answer:

1700 ft

Step-by-step explanation:

I think you may have read that question wrong, cause the way you worded made it about to be simple addition, and one of the descends should probably be an ascend.

6 0

3 years ago

6) Mrs. Hesabu has taken a loan of sh. 400,000 from Sweet

PIT_PIT [208]

Answer:

Step-by-step explanation:

If she was given a discount of 12% then the amount to be paid becomes I=P×R×T/100

I=400000×12×20/100

I=960000

Amount to be paid =I +P= 960000+400000=1360000

To liquidate this amount in 20 years therefore will be A÷20

1360000÷20

=68000 yearly

6 0

4 years ago