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MAVERICK [17]
2 years ago
5

Write the equation of the line passing through the points (25,3) and (-5, -3).

Mathematics
1 answer:
damaskus [11]2 years ago
6 0

The equation of the line passing through the points (25,3) and (-5, -3) in slope intercept form is y=\frac{1}{5}x-2.

The equation of a line passing through two points (x_1, y_1) and (x_2, y_2) is (y-y_1)=\frac{y_2-y_1}{x_2-x_1} (x-x_1), where \frac{y_2-y_1}{x_2-x_1} represents the slope.

Take (25,3) and (-5, -3) as (x_1, y_1) and (x_2, y_2) respectively.

Put the values in the general equation,

(y-y_1)=\frac{y_2-y_1}{x_2-x_1} (x-x_1)

(y-3)=\frac{-3-3}{-5-25} (x-25)

(y-3)=\frac{-6}{-30} (x-25)

-30(y-3)=(-6) (x-25)

-30y+90=-6x+150

-30y=-6x+150-90

-30y=-6x+60

Slope intercept form is y=mx+b, where m is the slope and b is the y-intercept

y=\frac{-6}{-30}x+\frac{60}{-30}

y=\frac{1}{5}x-2

Learn more about slope-intercept form here:

brainly.com/question/9682526?referrer=searchResults

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Answer:

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Step-by-step explanation:

1) $233.20 divided 11 hours is a hourly rate of $21.20. $21.20 multiplied by 3 hours is $63.60.

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3 years ago
You and another person are sunbathing on the beach near a lifeguard station. The other person chooses a spot that is the same di
Schach [20]

Answer: 26.8 feet

Step-by-step explanation:

In the figure attached you can see two right triangles  triangle ABD and a triangle ACD.

You are located at point B and the other person at point C.

The approximate height of the lifeguard station is <em>x</em>.

Keep on mind that:

tan\alpha=\frac{opposite}{adjacent}

Therefore:

<em>For the triangle ABD</em>:

tan(36\°)=\frac{x}{DC+11}    [EQUATION 1]

<em>For the triangle ACD:</em>

tan(46\°)=\frac{x}{DC}    [EQUATION 2]

Solve from DC from [EQUATION 2]:

DC=\frac{x}{tan(46\°)}

Substitute into [EQUATION 1] and solve for x:

tan(36\°)=\frac{x}{(\frac{x}{tan(46\°)}+11)}\\tan(36\°)(\frac{x}{tan(46\°)}+11)=x\\11*tan(36\°)=x-\frac{xtan(36\°)}{tan(46\°)}\\7.991=0.298x

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7 0
3 years ago
Please show how 1200.00 is an estimate of 31×43?
Vika [28.1K]
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4 0
3 years ago
3.
sergey [27]

Answer:

His money earned $36 after 3 months

Step-by-step explanation:

* Lets revise the rules of simple interest

- Simple Interest Equation (Principal + Interest)

 A = P(1 + rt)

- Where:

• A = Total amount (principal + interest)  future amount

• P = Principal Amount

• I = Interest Amount

• r = Rate of Interest per year in decimal; r = R/100

• t = Time Period involved  

* To calculate the interest I use the formula

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* Lets solve the problem

- The rate is annual

- The interest calculated after 3 months

∴ I = P × R/100 × t/12

∵ P = $3600.00

∵ R = 4%

∵ t = 3 month

∴ I = 3600.00 × 4/100 × 3/12 = $36

* His money earned $36 after 3 months

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tensa zangetsu [6.8K]
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5 0
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