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7nadin3 [17]
3 years ago
12

Enter the equation of the line in slope-intercept form.

Mathematics
1 answer:
goblinko [34]3 years ago
6 0

Answer:

y=5x-23

Step-by-step explanation:

Slope-intercept form is: y=mx+b

'm' is the slope.

'b' is the y-intercept.

<h3>What we know:</h3>
  • We are given the slope of 5.
  • We are given a coordinate. (5,2)
<h3>What we need to do:</h3>
  • We will use the coordinate and the slope to complete the equation.
<h3>Solving The Equation:</h3>

We are already given the slope of five. So, m = 5.

We are given a coordinate. So, to solve the y-intercept, we will use:

x = 5

y = 2

2=5(5)+b\\\rightarrow5*5 =25\\2=25+b\\\rightarrow 2-25=25-25+b\\\boxed{-23=b}

So, the y-intercept should be -23.

<h3>Your answer should be:</h3>

y=5x-23

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If triangle RST is within Quadrant 2 and csc T = 13/12, what is the value of cotT?
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Answer:

\boxed {cot T = -\frac{5}{12}}

Step-by-step explanation:

<u>Finding the missing side</u> :

  • x² = 13² - 12²
  • x² = 169 - 144
  • x = √25
  • x = 5

<u>Taking the cot value</u> :

  • cot T = adjacent / opposite
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the speed of light is 1.86×10^5 miles per second.how many miles will light travel in 4,200,000 seconds?
stiks02 [169]

Answer: 7.812*10^{11}\ miles

Step-by-step explanation:

Let be "x" the amount of miles light will travel in 4,200,000 seconds.

Rewrite 4,200,000 seconds in Scientific notation. Move the decimal point 6 places to the left. Then:

4,200,000\ seconds=4.2*10^6\ seconds

According to the exercise, light travels 1.86*10^5 miles in 1 second.

Therefore, based on this data, you can set up the following proportion:

\frac{1.86*10^5\ miles}{1\ second}=\frac{x}{4.2*10^6\ seconds}

And finally, you must solve for "x" in order to find its value.

(Remember the Product of powers property: a^m*a^n=a^{mn})

Then:

(4.2*10^6\ seconds)(\frac{1.86*10^5\ miles}{1\ second})=x\\\\x=7.812*10^{11}\ miles

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