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3 years ago

K has the equation 2y + 3x – 5 = 0

Mathematics

1 answer:

Sonbull [250]3 years ago

4 0

Answer:

The gradient of Line L = $\frac{2}{3}$

Step-by-step explanation:

<u><em>The equation for K is:</em></u>

=> 2y+3x-5 = 0

<u><em>Arranging it in the form of slope-intercept equation:</em></u>

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

Since, Line L is perpendicular to Line K, The gradient of it would be the negative reciprocal of this gradient and multiplying both gives the result of -1.

So,

The gradient of Line L = $\frac{2}{3}$

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We invested $10000 into two bank accounts. One account earns 14% per year, the other account earns 8% per year. How much did we

Blababa [14]

Answer:

$7,300 was invested in the 14% account while $2,700 was invested in the 8% interest account

Step-by-step explanation:

Let the amount invested in first account be $x while the amount for second account is $y

Mathematically;

x + y = 10,000 •••••••••(i)

Interest on first account

= 14% of x = 14/100 * x

Interest on second account

= 8% of y= 8/100 * y

Adding all together will give total

14/100 * x + 8/100 * y = 1238

Multiply through by 100

14x + 8y = 123800 •••••••(ii)

From equation 1, x = 10,000 - y

Insert this into second equation

14(10,000-y) + 8y = 123,800

140,000 - 14y + 8y = 123,800

140,000 - 6y = 123,800

6y = 140,000 - 123,800

6y = 16,200

y = 16,200/6

y = $2,700

Recall

x + y = 10,000

x = 10000 - y

x = 10,000 - 2,700

x = $7,300

3 0

3 years ago

When number can each term of the equation be multiplied by to eliminate the fractions before solving 6-3/4x+1/3=1/2x+5

PolarNik [594]

Answer:

Step-by-step explanation:

You need to find the least common denominator (LCD) to all the denominators of the fractions present in the equation. These denominators are (writing them in their prime factor form to make our calculations easier):

$4=2^2\\3=3\\2=2$

Therefore, we need to include a factor of 3, and two factors of 2 ( $2^2$ ) in our least common denominator, so this LCD will be a perfectly divided by all three given denominators, therefore eliminating all fractions in the equation.

Our LCD is = $3*2^2=13*4=12$

6 0

3 years ago

Help please thank you

Firlakuza [10]

Answer:

(0,-3)

Step-by-step explanation:

7 0

3 years ago

What is the answer to -6<21

adell [148]

Answer:

Step-by-step explanation:

I've already answered this question.

8 0

3 years ago

Simplify the following expression. 3 2/5x3(-7/5)

Studentka2010 [4]

The simplified expression of 32/5 x 3(-7/5) is -672/25

<h3>How to simplify the expression?</h3>

The mathematical expression is given as:

32/5 x 3(-7/5)

Evaluate the product of 3 and -7/5

32/5 x 3(-7/5) = 32/5 x -21/5

Evaluate the product of 32 and -21

32/5 x 3(-7/5) = 672/5 x -1/5

Evaluate the product of 5 and 5

32/5 x 3(-7/5) = 672/25 x -1

So, we have:

32/5 x 3(-7/5) = -672/25

Hence, the simplified expression of 32/5 x 3(-7/5) is -672/25