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1 year ago

PLEASEEEE help i know i am saying this again

Mathematics

1 answer:

BartSMP [9]1 year ago

6 0

Answer: for the first it is not direct varition while for the second one it i s

Step-by-step explanation:

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Find the value of k so that the graph of 13y + kx = 4 and the line containing the points (5, -8) and (2, 4) are parallel.

guajiro [1.7K]

the graph of 13y + kx = 4 and the line containing the points (5, -8) and (2, 4) are parallel.

We find the slope of parallel line using two given points

(5, -8) and (2, 4)

Slope formula is

$slope = \frac{y_2-y_1}{x_2-x_1}$

$slope = \frac{4-(-8)}{2-5}$

$slope = \frac{12)}{-3}=-4$

so slope = -4

Slope of any two parallel lines are always equal

Lets find the slope of the equation 13y + kx = 4

Subtract kx on both sides

13 y = -kx + 4

Divide both sides by 13

$y= \frac{-kx}{13} + \frac{4}{13}$

Now slope = -k/13

We know slope of parallel lines are same

So the slope of 13y + kx = 4 is also -4

Hence we equation the slope and find out k

$\frac{-k}{13}=-4$

Multiply by 13 on both sides and divide by -1

k = 52

the value of k = 52

4 0

3 years ago

Read 2 more answers

PLZ answer fast 100 points

Diano4ka-milaya [45]

Answer:

Can i have brainliest

The second one

The third one

and the last ones

Step-by-step explanation:

The x values are opposite

and the y stay the same

3 0

3 years ago

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Fix the sentence by following the apostrophe rule.

Anika [276]

<span>Strong children's education is essential to the progress of any nation.
</span>

7 0

3 years ago

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Which sentences represent the inequality? check all that apply. 2.1 (-1.2x) greater-than-or-equal-to 8 the sum of 2.1 and –1.2 t

devlian [24]

The best interpretation is that the sum of 2.1 and –1.2 times a number is greater than or equal to 8.

<h3>Inequality functions</h3>

Inequality are expressions not separated by an equal sign, Given the inequality;

2.1 + (-1.2x) ≥ 8

The sign ≥ means greater than or equal to

The expression 2.1 + (-1.2x) ≥ 8 can also be expressed as 2.1 - 1.2x ≥ 8

The best interpretation is that the sum of 2.1 and –1.2 times a number is greater than or equal to 8.

Learn more on inequality here: brainly.com/question/11613554

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3 0

2 years ago

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A bank loaned out $37,500, part of it at the rate of 11% annual interest, and the rest at 9% annual interest. The total interest

kondaur [170]

Answer:

The Loan amount at 11 % interest rate is $ 18,500 And

The Loan amount at 9 % interest rate is $ 19,000

Step-by-step explanation:

Given as :

Let The loan given at interest rate of 11 % annual = $ x

And The loan given at interest rate of 9 % annual = ($37,500 - $ x)

Total interest fro both loan = $3745

I.e CI 1 + CI 2 = $3745

Now, From compound interest method :

$Amount= Principal\times (1 + \frac{Rate}{100})^{Time}$

$A 1 = $ 1\times (1 + \frac{11}{100})^{1}$

Or, A 1 = $ 1.11 x

<u>Similarly</u>

$A 2 = ($37,500 -x ) \times (1 + \frac{9}{100})^{1}$

Or, A 2 = 1.09 × ($37,500 - $ x)

∵ Compound Interest = Amount - principal

Or, $ 3745 = CI 1 + CI 2

Or, $ 3745 = ($ 1.11 x - $ x) + ( 1.09 × ($37,500 - $ x) - ($37,500 - $ x) )

Or, $ 3745 = $ .11 x+ ($37,500 - $ x) ( .09 )

Or, $ 3745 = $ .02 x + $ 3375

or, 0.02 x = $ 3745 - $ 3375

∴ x = $ $\frac{370}{.02}$

SO, x = $ 18,500

And $ 37500 - x = $ 19,000

Hence The Loan amount at 11 % interest rate is $ 18,500 And

The Loan amount at 9 % interest rate is $ 19,000 Answer

4 0

4 years ago