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3 years ago

What is 4x-8y=5 6x-12y=10

1 answer:

5 0

If it is a system of two unknowns:
1) 4x-8y=5 multiple by 3
2)6x-12y=10 multiple by -2
then
12x-24y=15
-12x+24y=-20
x and y equals 0, so
Answer: no solution

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Define the value of the expression 3^2 x 3^{-5}

Tanya [424]

Answer:

Between 0 and 1

Step-by-step explanation:

The given expresion is

${3}^{2} \times {3}^{ - 5}$

Recall that:

${a}^{m} \times {a}^{n} = {a}^{m + n}$

We apply this property of exponents to get;

${3}^{2} \times {3}^{ - 5} = {3}^{2 + - 5} = {3}^{ - 3}$

We rewrite to obtain a positive index as:

${3}^{2} \times {3}^{ - 5} = \frac{1}{ {3}^{3} } = \frac{1}{27}$

Therefore the value of the expression is between 0 and 1.

8 0

2 years ago

What are the next three terms in the sequence3,6,9,12,...?

Vinil7 [7]

Answer:

15, 18, 21

Step-by-step explanation:

3, 6, 9, 12, 15, 18, 21...

3 x 5 = 15

3 x 6 = 18

3 x 7 = 21

Hope this helps! :)

8 0

3 years ago

What is the slope of a line perpendicular to the line y= - 2/3x + 1

sesenic [268]

3/2 since perpendicular lines have opposite reciprocal slopes

7 0

2 years ago

Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. Tha

Brums [2.3K]

Answer:

The length of each side of the city is 250b

Step-by-step explanation:

Given

$a = 20$ --- tree distance from north gate

$b =14$ --- movement from south gate

$c = 1775$ --- movement in west direction from (b)

See attachment for illustration

Required

Find x

To do this, we have:

$\triangle ADE \sim \triangle ACB$ --- similar triangles

So, we have the following equivalent ratios

$AE:DE = AB:CB$

Where:

$AE = 20\\ DE = x/2 \\ AB = 20 + x + 14 \\ CB = 1775$

Substitute these in the above equation

$20:x/2 = 20 + x + 14: 1775$

$20:x/2 = x + 34: 1775$

Express as fraction

$\frac{20}{x/2} = \frac{x + 34}{1775}$

$\frac{40}{x} = \frac{x + 34}{1775}$

Cross multiply

$x *(x + 34) = 1775 * 40$

Open bracket

$x^2 + 34x = 71000$

Rewrite as:

$x^2 + 34x - 71000 = 0$

Expand

$x^2 + 284x -250x - 71000 = 0$

Factorize

$x(x + 284) -250(x + 284)= 0$

Factor out x + 284

$(x - 250)(x + 284)= 0$

Split

$x - 250 = 0 \ or\ x + 284= 0$

Solve for x

$x = 250 \ or\ x =- 284$

x can't be negative;

So:

$x = 250$

6 0

3 years ago

A regression-based forecast has yielded a coefficient of correlation (r) equal to 0.754. What is the coefficient of determinatio

Andreyy89

Answer:

0.568516

Step-by-step explanation:

To find the the Coefficient of determination you simply square r.

Just make sure you have the original r value and not the rounded value.

0.754^2 = 0.568516

and then depending on how many decimals you need to round to...

6 0

3 years ago