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zhenek [66]
3 years ago
12

What is the point-slope form of a line that has a slope of 3 and passes through point (1, 4)?

Mathematics
1 answer:
Genrish500 [490]3 years ago
7 0

Answer:

y-4= 3(x-1)

Step-by-step explanation:

I graphed the equations and the only equation that matched the description was y-4= 3(x-1). I graphed this equation on the graph below.

If this answer is correct, please make me Brainliest!

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Sarah ran 2 miles and Jaime ran 15, 840 feet. How many miles did they run together? (The conversion factor is 5280 feet/mile.)
Korvikt [17]

Answer:

C. 5 miles

Step-by-step explanation:

Since we need to find how many miles they ran together, let us convert feet to miles. Sarah's length is already in miles so we'll leave it that way.

Jaime ran 15840 feet. We are given how many feet are there in one mile (5280), so we need to find how many miles are there in 15840 feet.

x = 15840 / 5280 = 3 miles.

So, Jaime ran 3 miles and Sarah ran 2 miles.

That means that together they ran 3 + 2 = 5 miles.

6 0
3 years ago
Factor:<br> 4tan^2x-(4)/(cotx)+sinx(cscx) ...?
lisov135 [29]
4tan^(2)x-((4)/(cotx))+sinxcscx 


Multiply -1 by the (4)/(cotx) inside the parentheses. 

4tan^(2)x-(4)/(cotx)+sinxcscx 


To add fractions, the denominators must be equal. The denominators can be made equal by finding the least common denominator (LCD). In this case, the LCD is cotx. Next, multiply each fraction by a factor of 1 that will create the LCD in each of the fractions. 


4tan^(2)x*(cotx)/(cotx)-(4)/(cotx)+sin... 


Complete the multiplication to produce a denominator of cotx in each expression. 

(4tan^(2)xcotx)/(cotx)-(4)/(cotx)+(cot... 


Combine the numerators of all expressions that have common denominators. 
<span>
(4tan^(2)xcotx-4+cotxsinxcscx)/(cotx)</span>
8 0
2 years ago
Will give brainliest! which of the following correctly shows the beginning steps to solve this equation?
padilas [110]
2(7x - 3) = 9

step 1 : distribute thru the parenthesis......14x - 6 = 9
step 2 : add 6 to both sides.......14x = 15
7 0
3 years ago
A plastic sun visor allows light to pass through but reduces the intensity of the light. the intensity is reduced by 5% if the p
irinina [24]

Answer: The equation is f(x) = 0.95^{x};

The piece of plastic has to have 10mm of thickness.

Step-by-step explanation: It is known that with 1 mm of thickness, 5% of the intensity is reduced. So, 95% of the light is transmitted.

For each milimetre added, "more" 95% of light is transmitted.

For example, if another milimetre of plastic is added, another 0.95 of light is transmitted:

0.95.0.95 = 0.9025 of light reach the visor

So, the model that relate thickness of plastic and intensity of light is:

f(x) = 0.95^{x}

in which:

f(x) is the intensity of light;

x is thickness in mm;

Using the equation, the thickness necessary to reduce intensity to 60% is:

f(x) = 0.95^{x}

0.6 = 0.95^{x}

log 0.6 = log 0.95^{x}

x. log (0.95) = log (0.6)

x = \frac{log 0.6}{log 0.95}

x = 9.95

x ≈ 10

The thickness necessary to reduce intensity of light to 60% is 10mm.

6 0
3 years ago
Read 2 more answers
HELP ASAP PLEASE!!! Explain how you will benefit most from improving your math skills.
RideAnS [48]

Answer:

Some of the most lucrative jobs are all about math. Most engineering fields are all about sharp math skills, whether it’s civil and mechanical or software engineering. Working in finance also obviously involves a lot of math, and what better way to make money than working in the field that’s all about money? You can also become a statistician or actuary; it’s not easy to find good statisticians, despite the need for them. If you want to earn good money, then you do need good math skills.Then again, you could use math in life anyway.

Step-by-step explanation:

7 0
3 years ago
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