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3 years ago

Write the equation in standard form. x = -4y + 8 *

Mathematics

1 answer:

Vsevolod [243]3 years ago

8 0

Answer:

x+4y=8

Step-by-step explanation:

graph shown below

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What does the number line above represent?

sattari [20]

It is the last one. A closed circle means less than or equal to, so that crosses out the top two. The third says five is greater and we know that is not true because the line is decreasing in value. It must be the fourth.

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3 years ago

Divide.

Alexxandr [17]

Answer:

2x³-2x²-3x-14

Hope it helps you

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2 years ago

a port and a radar station are 2 mi apart on a straight shore running east and west. a ship leaves the port at noon traveling no

Rom4ik [11]

Answer:

The rate of change of the tracking angle is 0.05599 rad/sec

Step-by-step explanation:

Here the ship is traveling at 15 mi/hr north east and

Port to Radar station = 2 miles

Distance traveled by the ship in 30 minutes = 0.5 * 15 = 7.5 miles

Therefore the ship, port and radar makes a triangle with sides

2, 7.5 and x

The value of x is gotten from cosine rule as follows

x² = 2² + 7.5² - 2*2*7.5*cos(45) = 39.04

x = 6.25 miles

By sine rule we have

$\frac{sin A}{a} = \frac{sin B}{b}$

Therefore,

$\frac{sin 45}{6.25} = \frac{sin \alpha }{7.5}$

α = Angle between radar and ship α

∴ α = 58.052

Where we put

$\frac{sin 45}{6.25} = \frac{sin \alpha }{x}$ to get

$\frac{x}{6.25} = \frac{sin \alpha }{sin 45}$ and differentiate to get

$\frac{\frac{dx}{dt} }{6.25} = cos\alpha\frac{\frac{d\alpha }{dt} }{sin 45}$

$\frac{15sin45 }{6.25cos\alpha } =\frac{d\alpha }{dt} }$ = 3.208 degrees/second = 0.05599 rad/sec.

6 0

3 years ago

The vertex of the graph of a quadratic function is (2, –1) and the y-intercept is (0, 7). Which of the following is the equation

liraira [26]

I think is d I wanna say D..it might be wrong tho

4 0

3 years ago

Read 2 more answers

A square field has an area of 144 metres squared. If Andrea walked 10 times around this field, what distance did she cover?

Novosadov [1.4K]

Answer:

480m

Step-by-step explanation:

First we have to find the perimeter of the field.

We know that the area is 144m and that the field is a square.

Since a squares sides are all equal, we can do $\sqrt{144}$ , which is 12m.

So, one side of the field is 12m; now we just find the perimeter which is easy since its a square. 12*4=48m

If Andrea walked around it 10 times, then we just multiply the perimeter by 10

48*10=480m

7 0

3 years ago