All categories

2 years ago

UL

Mathematics

1 answer:

Kay [80]2 years ago

3 0

Answer:

4(y+2) = 3(x+4) and 4y - 3x = 4

Step-by-step explanation:

The equation of the line in point slope form is expressed as;

y - y0 = m(x-x0)

m is the slope

(x0, y0) is the point on the line

Given the equation 3x - 4y = 7

Rewrite in slope intercept form

-4y = -3x+7

y = 3/4 x - 7/4

Slope = 3/4

Slope of the required line will also be 3/4 since they are parallel lines

Substitute the slope and the point into the equation above;

y - y0 = m(x-x0)

y +2 = 3/4 (x+4)

4(y+2) = 3(x+4)

4y + 8 = 3x+12

4y - 3x = 12-8

4y - 3x = 4

Hence the required equations are 4(y+2) = 3(x+4) and 4y - 3x = 4

You might be interested in

Solve for c in the proportion. 6/c = 48/40 c= ?

Slav-nsk [51]

Answer:

5 should be correct answer

8 0

2 years ago

Find the nth term of each of the sequence: 1, 3, 9, 27, 81, ...

mojhsa [17]

Answer:

1x3=3x3=9x3=27x3=81 hope this helps you

7 0

2 years ago

How many feet are in 108 inches?

MissTica

Well first we need to know how many inches are in one foot which is 12 inches for every foot. So now we can take 108 inches / 12 because there are 12 inches to a foot and we need to convert inches to feet. Which gives us are end answer of 9 feet in 108 inches.

7 0

2 years ago

Read 2 more answers

A consumer advocacy group wants to determine whether there is a difference between the proportions of the two leading automobile

podryga [215]

Answer:

The answer is "0.3206".

Step-by-step explanation:

$H_0: p_1 = p_2\\\\H_a: p_1 \neq p_2\\\\\hat{p_1} = \frac{X_1}{N_1} = \frac{53}{400} = 0.1325\\\\\hat{p_1}= \frac{X_2}{N_2} = \frac{78}{500}= 0.156\\\\\hat{p} = \frac{(X_1 + X_2)}{(N_1 + N_2)} = \frac{(53+78)}{(400+500)} = 0.1456$

Testing statistic:

$z = \frac{(\hat{p_1}- \hat{p_2})}{\sqrt{(\hat{p} \times (1-\hat{p}) \times (\frac{1}{N_1} + \frac{1}{N_2}))}}$

$=\frac{(0.1325-0.156)}{\sqrt{(0.1456\times (1-0.1456)\times (\frac{1}{400} + \frac{1}{500}))}}\\\\ = -0.99$

Calculating the P-value Approach

$\text{P-value}= 0.3206$

7 0

1 year ago

A culture of bacteria obeys the law of uninhibited growth. if 500 bacteria are present initially, and there are 800 after 1 hour

lesantik [10]

Since this culture of bacteria obeys the law of uninhibited growth. Given that 500 bacteria are present initially, and there are 800 after 1 hour, a growth rate of 0.470003629246 (k value) has been calculated. 5243 will be present after 5 hours.

8 0

2 years ago

Read 2 more answers