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3 years ago

Find the equation of the line which has slope of 5 and passes through the point (2,9)

Mathematics

1 answer:

saul85 [17]3 years ago

5 0

Answer:

y = 5 x - 1

Step-by-step explanation:

Use the "point-slope" form of a line with slope m = 5 and going through the point (x1, y1) = (2, 9)

y - y1 = m (x - x1)

in our case:

y - 9 = 5 (x - 2)

distributive property to reduce the parenthesis:

y - 9 = 5 x - 10

adding 9 to both sides:

y = 5 x - 10 + 9

y = 5 x - 1

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Please I need help on solving for x

Sedaia [141]

Answer:

$34^o=1/2((3x-2)^0-(x+6)^o)$

$68^o=3x^o-2^o-x^o-6^o$

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$76^o=2x^o-->x=38^o$

$\huge\boxed{\boxed{\underline{\textsf{\textbf{x=38}}}}}$

<h3><u>---------------------</u></h3><h3><u>hope it helps...</u></h3><h3><u>have a great day!!</u></h3>

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3 years ago

The harbormaster wants to place buoys where the river bottom is 20 feet below the surface of the water. Complete the absolute va

Natalija [7]

Answer:

The answer is below

Step-by-step explanation:

The bottom of a river makes a V-shape that can be modeled with the absolute value function, d(h) = ⅕ ⎜h − 240⎟ − 48, where d is the depth of the river bottom (in feet) and h is the horizontal distance to the left-hand shore (in feet). A ship risks running aground if the bottom of its keel (its lowest point under the water) reaches down to the river bottom. Suppose you are the harbormaster and you want to place buoys where the river bottom is 20 feet below the surface. Complete the absolute value equation to find the horizontal distance from the left shore at which the buoys should be placed

Answer:

To solve the problem, the depth of the water would be equated to the position of the river bottom.

$d(h)=river \ bottom\\\\The \ river \ bottom=-20\ feet(below)\\\\d(h) = -20\\\\\frac{1}{5}|h-240|-48=-20\\ \\\frac{1}{5}|h-240|=-20+48\\\\\frac{1}{5}|h-240|=28\\\\|h-240|=28*5\\\\|h-240|=140\\\\h-240=140\ or\ h-240=-140\\\\h=140+240\ or\ h=-140+240\\\\h=380\ or\ h=100\\\\The\ buoys\ should\ be\ placed\ at\ 100\ feet\ and\ 380\ feet\ from\ left-hand\ shore$

4 0

3 years ago

Adelaide paid $35 for a manicure and gave the manicurist a 20% tip How much money did Adelaide give her manicurist

seropon [69]

<span><u><em>The correct answer is:</em></u>
$42.

<u><em>Explanation:</em></u>
The best way to find a total bill including tip (or tax if that is what you are looking for - it is found the same way), is to multiply the original total by 1 + the percentage of the tip.

Since the percentage is 20%, we add 0.20 to 1 to get 1.20.
Now we multiply that by the original cost to get the final answer.
1.20*35 = 42</span>

3 0

3 years ago

Read 2 more answers

Find the diameter of the circle. Assume the leg of the triangle is tangent to the circle. Round any decimals to the nearest tent

Anvisha [2.4K]

Answer:

8.7 units

Step-by-step explanation:

Given is a right angled triangle (because the segment with 5 units length is tangent to circle. Tangent is perpendicular to RADIUS or diameter)

Let the length of the diameter be d units

By Pythagoras Theorem:

$d = \sqrt{ {10}^{2} - {5}^{2} } \\ = \sqrt{100 - 25} \\ = \sqrt{75} \\ = 8.66025404 \\ = 8.7 \: units$

3 0

3 years ago

Solve the quadractic equation 3x^2-5x-7=0

finlep [7]

Answer:

2.113 and -0.446

Step-by-step explanation:

you have to use the formula x=-(b)+ or - the sqaure root of (b) squared-4 (a)(c) all over 2 (a).

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2 years ago

Find the equation of the line which has slope of 5 and passes through the point (2,9)​

Find the equation of the line which has slope of 5 and passes through the point (2,9)