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2 years ago

12

Is this equation have a solution or not y =

"\frac{3}{4}" alt="\frac{3}{4}" align="absmiddle" class="latex-formula"> x
3x - 4y = 0

1 answer:

Musya8 [376]2 years ago

7 0

Answer:

No solution.

Step-by-step explanation:

y + 3x - 4y = 0 + 0.75x

- 3y + 3x = 0 + 0.75x

- 3y + 3x - 0.75x = 0 + 0.75x - 0.75x

- 3y + 2.25x = 0

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WILL MARK BRAINLIEST

nordsb [41]

For# 1 the answer would be
-3/5

for #2 the answer would be
3/4

i hope this helps :)

7 0

3 years ago

A closed, rectangular-faced box with a square base is to be constructed using only 36 m2 of material. What should the height h a

kkurt [141]

Answer:

$b=h=\sqrt{6}$ m

Step-by-step explanation:

Let

Bas length of box=b

Height of box=h

Material used in constructing of box=36 square m

We have to find the height h and base length b of the box to maximize the volume of box.

Surface area of box= $2b^2+4bh$

$2b^2+4bh=36$

$b^2+2bh=18$

$2bh=18-b^2$

$h=\frac{18-b^2}{2b}$

Volume of box, V= $b^2h$

Substitute the values

$V=b^2\times \frac{18-b^2}{2b}$

$V=\frac{1}{2}(18b-b^3)$

Differentiate w. r.t b

$\frac{dV}{db}=\frac{1}{2}(18-3b^2)$

$\frac{dV}{db}=0$

$\frac{1}{2}(18-3b^2)=0$

$\implies 18-3b^2=0$

$\implies 3b^2=18$

$b^2=6$

$b=\pm \sqrt{6}$

$b=\sqrt{6}$

The negative value of b is not possible because length cannot be negative.

Again differentiate w.r.t b

$\frac{d^2V}{db^2}=-3b$

At $b=\sqrt{6}$

$\frac{d^2V}{db^2}=-3\sqrt{6}$

Hence, the volume of box is maximum at $b=\sqrt{6}$ .

$h=\frac{18-(\sqrt{6})^2}{2\sqrt{6}}$

$h=\frac{18-6}{2\sqrt{6}}$

$h=\frac{12}{2\sqrt{6}}$

$h=\sqrt{6}$

$b=h=\sqrt{6}$ m

7 0

2 years ago

In the given figure PQ is a transversal intersecting lines AB and CD. Find the measures of angles x and y. Hence prove AB//CD.

tekilochka [14]

<u>Explanation</u><u>:</u>

From the given figure ,

AB || CD

PQ is a transversal

Given angles are 50° and 130°

50° and x are linear pair

⇛ 50°+x = 180°

⇛ x = 180°-50°

⇛ x = 130°

Therefore, "x" = 130°

and

130° and y are vertically opposite angles which are equal.

⇛ "y" = 130°

Therefore, y = 130°

<u>Additional</u><u> </u><u>comment</u><u>:</u><u>-</u>

If two parallel lines Intersected by a transversal then
Corresponding angles are equal.
Vertically Opposite angles are equal.
The sum of two adjacent angles is equal to 180° then they are called Linear Pair.

3 0

2 years ago

(5 + x) + 0 = 5 + x<br> What property is this

Paha777 [63]

Answer:

The Identity Property of Zero

Step-by-step explanation:

If you add 0 to any number, the result will be that number.

5 0

2 years ago

Read 2 more answers

Simplify 4^7/5^2 all raised to the 3rd power<br><br> 4^10/5^5<br> 4^4/5<br> 4^21/5^6<br> 12^7/15^2

zepelin [54]

[4^7/5^2]³ = 4^21/5^6

When a power is raised to an other power, you multiply these 2 powers

Answer: 4^21/5^6

5 0

2 years ago