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Nina [5.8K]
4 years ago
14

Write this equation in slope-intercept form. y - 3 = 5(x + 3)

Mathematics
1 answer:
solong [7]4 years ago
8 0

Answer:

y = 5x+18

Step-by-step explanation:

y - 3 = 5(x + 3)

Distribute

y -3 = 5x+15

Add 3 to each side

y - 3+3 = 5x + 15 +3

y = 5x+18

This is slope intercept form (y = mx+b) where m is the slope and b is the y intercept

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3) A woman buys 3 dezen eggs. Later she discovers that x of them are broken. How many mang eggs are not broken 3 ) A woman buys
Fofino [41]

Answer:

<h2><u><em>36 - x</em></u></h2>

Step-by-step explanation:

A woman buys 3 dezen eggs. Later she discovers that x of them are broken. How many mang eggs are not broken

3 = 3

Dozen = 12

x = broken eggs

3 * 12 - x =

36 - x

5 0
2 years ago
Find the equation of the tangent to the circle x2 + y2 = 109 at point (-10,3)
konstantin123 [22]

Answer:

10x - 3y = -109 .

Step-by-step explanation:

x^2 + y^2 = 109

Implicit Differentiation:

2x + 2y.y' = 0

y' = -2x/2y = -x/y

So at the point (-10,3) the gradient of the tangent is -(-10)/3 = 10/3.

Equation of the tangent:

y - y1 = m(x - x1)

y - 3 = 10/3(x + 10)

y - 3 = 10/3 x + 100/3

3y - 9 = 10x + 100

-109 + 3y = 10x

10x - 3y = -109  

4 0
3 years ago
train travelling at a uniform speed covers a distance of 255 km in Find the speed of the train and 3 4/5 1 1/2 the distance cove
serg [7]

The speed of the train is <u>150 km/hour</u>.

The distance covered by the train in 3 4/5 hours is <u>570 km</u>.

The speed of a body is calculated using the formula, <u>speed = distance/time.</u>

The distance covered is calculated using the formula, <u>distance = speed*time</u>.

The time taken by a body is calculated using the formula, <u>time = distance/speed</u>.

In the question, we are asked for the speed of a train, when it covers a distance of 225 km in 1 1/2 hours.

Distance = 225 km.

Time = 1 1/2 hours = 1.5 hours.

<u>Speed = Distance/Time</u> = 225/1.5 km/hour = 150 km/hour.

Now, we are asked to calculate the distance covered by the train in 3 4/5 hours.

Speed = 150 km/hour.

Time = 3 4/5 hours = 3.8 hours.

<u>Distance = Speed*Time</u> = 150*3.8 km = 570 km.

Thus, the speed of the train is <u>150 km/hour</u>.

The distance covered by the train in 3 4/5 hours is <u>570 km</u>.

The provided question is incorrect. The correct question is:

"A train at a uniform speed covers a distance of 225 km in 1 1/2 hours. Find the speed of the train and the distance covered in 3 4/5 hours.

Learn more about speed, time, and distance at

brainly.com/question/17146782

#SPJ1

6 0
2 years ago
The vertices of ΔDEF have coordinates D(–1, 2), E(3, 3), and F (2, –4).What are the coordinates of the vertices of r(90°, O)(ΔDE
alex41 [277]

Answer:

D,E

Step-by-step explanation:

hope I helped

4 0
3 years ago
Solve by addition<br>method<br>3x - 84 = 3​
galina1969 [7]
3x-84=3
+84
3x=87
87/3
x=29
6 0
3 years ago
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