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2 years ago

Find equation of the line passing through(0,-3),which has a gradient of 2

Mathematics

1 answer:

WINSTONCH [101]2 years ago

7 0

Answer:

y = 2x - 3

Step-by-step explanation:

y - - 3 = 2(x-0)

y + 3 = 2x

y = 2x -3

You might be interested in

The solution to the inequality 5x - 4 > 21 is represented by which number line?

andrew-mc [135]

Answer:

Step-by-step explanation:

Start with the given inequality and solve it for x.

First, add 4 to both sides: 5x > 25

Next, divide both sides by 5: x > 5

The solution (set) is x > 5.

7 0

3 years ago

How to factor y^3 +2y^2 + 2y + 1

cupoosta [38]

Answer:

Step-by-step explanation:

P(y) = y³ + 2y² + 2y + 1

P(-1) = (-1)³ + 2*(-1)² + 2*(-1) + 1

= -1 + 2 - 2 + 1

= 0

As, P(-1) = 0, (y + 1) is a factor.

Use synthetic division or remainder theorem.

-1 1 2 2 1

1 1 1 0

quotient = y² + y + 1

y³ + 2y² + 2y + 1 = ( y + 1) (y² + y + 1)

4 0

2 years ago

The vertices of a triangle are labeled clockwise A(–5, 3), B(6, 1), and C(–2, –3). How could you show that the figure is a right

mafiozo [28]

Explanation:

When the points are plotted on a graph, it is easy to see that the slope of AC is -2 and the slope of BC is 1/2. These slope values have a product of -1, so the corresponding line segments are perpendicular to each other.

___

If you have studied vectors, you can find the dot product of AC with BC:

AC = (-5, 3) -(-2, -3) = (-3, 6)

BC = (6, 1) -(-2, -3) = (8, 4)

The dot product is ...

(-3, 6)·(8, 4) = (-3)(8) + (6)(4) = -24+24 = 0

When the dot product of vectors is zero, they are perpendicular.

5 0

3 years ago

Calculate the volume of this prism<br> 20 cm<br> 30 cm<br> 10 cm

Ghella [55]

Answer:

$6000(cm)^{3}$

Step-by-step explanation:

$30 \times 10 \times 20$

$300 \times 20$

$6000(cm)^{3}$

<h3>Hope it is helpful...</h3>

5 0

2 years ago

Two buses leave towns 576 kilometers apart at the same time and travel toward each other. One bus travels 12

KIM [24]

Answer:

Rate of slower bus; 90 km/h

Rate of faster bus; 102 km/b

Step-by-step explanation:

We know that formula do distance is;

Distance = speed/time

We are told that One bus travels 12h slower than the other.

Let speed of slower bus be x.

Thus;

Speed of faster bus = x + 12

Speed of slower bus = x

After 3 hours, distance by faster bus = 3(x + 12)

Speed of slower bus = 3x

Since the towns are 576 km apart, then;

3(x + 12) + 3x = 576

Divide through by 3 to get;

x + 12 + x = 192

2x + 12 = 192

2x = 192 - 12

2x = 180

x = 180/2

x = 90 km/h

Faster bus speed = 90 + 12 = 102 km/h

8 0

3 years ago