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2 years ago

Can you identify a parallel or perpendicular equation and type the correct code?

Mathematics

1 answer:

AlladinOne [14]2 years ago

3 0

Answer:

The equation of the line that is parallel to is and the equation of the line that is perpendicular to is .

Let be a line whose equation is:

(1)

Whose explicit form is:

(2)

Where:

- Independent variable.

- Dependent variable.

The slope and x-intercept of the line are and , respectively.

There are two facts:

A line is parallel to other line when the former has the same slope of the latter.

A line is perpendicular to other line when the former has a slope described the following form (), where is the slope of the former.

Then, the equation of the line that is parallel to is and the equation of the line that is perpendicular to is .

To learn more on lines, we kindly invite to check this verified question: brainly.com/question/2696693

Hope This Helps.

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What is the solution of the following system?

alexandr402 [8]

<span>4x-y = 15 3x+2y = -8 Multiplying the first equation by two makes for an easy elimination of the y variable. 8x - 2y = 30 3x + 2y = -8 Add vertically. 11x = 22. Divide by 11 on both sides and get x = 2. Plug into an equation. 4(2) - y = 15 8 - y = 15 8 = 15 + y 8 - 15 = y -7 = y. Thus the solution is indeed (2, -7).</span>

5 0

3 years ago

A cold-water faucet can fill a sink in 1212 min, and a hot-water faucet can fill it in 1515 min. The drain can empty the sink

sweet-ann [11.9K]

Answer:

9.1 minutes.

Step-by-step explanation:

Let t represent time taken to fill the tank.

We have been given that a cold water faucet can fill a sink in 12 min, so the part of sink filed in 1 minute would be $\frac{1}{12}$ .

The hot-water faucet can fill it in 15 min, so the part of sink filed in 1 minute would be $\frac{1}{15}$ .

The drain can empty the sink in 25 min, so the part of drain emptied in 1 minute would be $\frac{1}{25}$ .

The part of 1 full tank filled in t minutes, when both faucets are on and the drain is open would be:

$(\frac{1}{12}+\frac{1}{15}-\frac{1}{25})t=1$

Make a common denominator:

$(\frac{1*25}{12*25}+\frac{1*20}{15*20}-\frac{1*12}{25*12})t=1$

$(\frac{25}{300}+\frac{20}{300}-\frac{12}{300})t=1$

$(\frac{25+20-12}{300})t=1$

$\frac{33}{300}t=1$

$\frac{11}{100}t=1$

$\frac{100}{11}\times \frac{11}{100}t=\frac{100}{11}\times1$

$t=\frac{100}{11}$

$t=9.0909$

$t\approx 9.1$

Therefore, it will take 9.1 minutes to fill the sink.

4 0

3 years ago

10squared correct to 6 decimal places

irga5000 [103]

Answer:

3.162278

Step-by-step explanation:

√10= 3.16227766

then find the millionths place which is 3.16227766

then you round that number based on the number to the right of it which is a 6 so you round it up

so the answer is 3.162278

4 0

3 years ago

Please help me answer thi question

FinnZ [79.3K]

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (2, 3 ) and (x₂, y₂ ) = (5, 3 )

m = $\frac{3-3}{5-2}$ = $\frac{0}{3}$ = 0

8 0

3 years ago

Diana invested $3000 in a savings account for 3 years. She earned $450 in interest over that time period. What interest rate did

matrenka [14]

If I=P*r*t, we can input 450 in for I, 3000 in for the principal (P, or the starting rate), and 3 for t=time because there were three years, resulting in 450=9000*r. Next, we can divide both sides by 9000 to get 0.05 or 5% as our answer.

8 0

3 years ago