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2 years ago

Using the point slope equation find the equation consisting (4,9) and slope m=-3

Mathematics

1 answer:

alexira [117]2 years ago

6 0

-3x4=-12
9+-12=-4

So the y-intercept is -4
Since you already know the gradient you can form:

y = -3x -4

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Required

Serjik [45]

Answer:

7/10 OR 0.7

Step-by-step explanation:

10,12,14,15,16,18,20

3 0

2 years ago

1. Mary used repeated addition to show 3 x 2/5. What<br> would the equation look like?

Hunter-Best [27]

Answer:

3/5 x 2/5

Step-by-step explanation:

6 0

2 years ago

ABCD is a trapezium AD and BC are parallel

Orlov [11]

Part (a)

<h3>Answer: 12.1</h3>

-----------------------

Work Shown:

We'll apply the sine rule since we have a known opposite side of AB = 10 and an unknown hypotenuse we want to find BD.

Focus on triangle ABD

sin(angle) = opposite/hypotenuse

sin(D) = AB/BD

sin(56) = 10/x

x*sin(56) = 10

x = 10/sin(56)

x = 12.062179

x = 12.1

Make sure your calculator is in degree mode.

===================================================

Part (b)

<h3>Answer: 15.1</h3>

-----------------------

Work Shown:

Draw an xy coordinate grid.

Place point A at the origin (0,0).

Point B is 10 units above this, so B is at (0,10).

Point C is at (18,10) since we move 18 units to the right of B.

Point D is at approximately (6.745085, 0). The 6.745085 is from solving tan(56) = 10/x for x.

Refer to the diagram below.

Apply the distance formula for the points C and D.

$C = (x_1,y_1) = (18,10)\\\\D = (x_2,y_2) \approx (6.745085,10)\\\\$

$d = \text{ distance from C to D}\\\\d = \sqrt{ (x_1-x_2)^2+(y_1-y_2)^2}\\\\d \approx \sqrt{ (18-6.745085)^2+(10-0)^2}\\\\d \approx \sqrt{ 226.673112 }\\\\d \approx 15.055667\\\\d \approx 15.1\\\\$

Segment CD is roughly 15.1 cm long.

3 0

2 years ago

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60 mL converted to 1000 k

Pani-rosa [81]

60 mL converted to 1000 k 0mL0us fl oz1mL0.033814023us fl oz2mL0.067628046us fl oz3mL0.101442069us fl oz4mL0.135256092us fl oz5mL0.169070115us fl oz6mL0.202884138us fl oz7mL0.236698161us fl oz8mL0.270512184us fl oz9mL0.304326207us fl oz10mL0.33814023us fl oz11mL0.371954253us fl oz12mL0.405768276us fl oz13mL0.439582299us fl oz14mL0.473396322us fl oz15mL0.507210345us fl oz16mL0.541024368us fl oz17mL0.574838391us fl oz18mL0.608652414us fl oz19mL0.642466437us fl oz20mL0.67628046us fl oz21mL0.710094483us fl oz22mL0.743908506us fl oz23mL0.777722529us fl oz24mL0.811536552us fl oz25mL0.845350575us fl oz26mL0.879164598us fl oz27mL0.912978621us fl oz28mL0.946792644us fl oz29mL0.980606667us fl oz30mL1.01442069us fl oz31mL1.048234713us fl oz32mL1.082048736us fl oz33mL1.115862759us fl oz34mL1.149676782us fl oz35mL1.183490805us fl oz36mL1.217304828us fl oz37mL1.251118851us fl oz38mL1.284932874us fl oz39mL1.318746897us fl oz40mL1.35256092us fl oz41mL1.386374943us fl oz42mL1.420188966us fl oz43mL1.454002989us fl oz44mL1.487817012us fl oz45mL1.521631035us fl oz46mL1.555445058us fl oz47mL1.589259081us fl oz48mL1.623073104us fl oz

4 0

2 years ago

Jim’s soccer team has a record of 12 wins and eight losses. Which team below has the same rate of wins and losses?

babymother [125]

Answer:

Step-by-step explanation:

the answer is v simpldhdjdj

3 0

1 year ago

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