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2 years ago

3. Use substitution to solve the system of

Mathematics

1 answer:

Aleksandr-060686 [28]2 years ago

5 0

Answer:

infinite solutions

Step-by-step explanation:

the lines are coincident, so there are infinite solutions

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Write the decimal expansion for 5/9

4vir4ik [10]

Answer:

0.555555556

Step-by-step explanation:

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3 years ago

Find an equation of the line described (3,7) (0,0)

Colt1911 [192]

The formula of the line is
y=mx + b
The likes goes through the point (0,0)
that means that y-int = 0, b=0
y=mx
So we need to find only slope.

$m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{7-0}{3-0} = \frac{7}{3} 

$

$So, y= \frac{7}{3} x$

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3 years ago

Ritu started a business and borrowed a certain sum at 14% per annum for 1 year, the interest being compounded semi annually. If

liubo4ka [24]

Use the formula A = p( 1 + x)^n.

A = 1831.84(1 + 0.14)^6

You can finish.

5 0

3 years ago

A North American river otter wants to cross the North Saskatchewan river. It can swim at a speed of 2.75 m/s. In that location,

insens350 [35]

Answer:

Step-by-step explanation:

time to cross will be the distance divided by the velocity in that direction.

a) t = d/v = 45/2.75 = 16.363636... 16.4 s

In the same time that the otter is swimming cross stream, the stream is also moving perpendicularly at its own pace.

b) d = vt = 2.5(16.36) = 40.9090... 40.9 m

As velocity is a vector, An observer on the bank would see the velocity as the vector addition of the cross stream and down stream velocities

c) v = √(2.75² + 2.5²) = 3.716517... 3.72 m/s magnitude

θ = arctan2.5/2.75 = 42.2736... 42.3° downstream of a line straight across

7 0

3 years ago

Right triangles abc and dbc with right angle c are given below. If cos(a)=15,ab=12 and cd=2, find the length of bd.

dmitriy555 [2]

see the attached figure to better understand the problem

we have that

$cos(A)=\frac{1}{5} \\ AB=12\ units\\ CD=2\ units$

Step 1

Find the value of AC

we know that

in the right triangle ABC

$cos (A)=(AC/AB)\\AC=AB*cos(A)$

substitute the values in the formula

$AC=12*(1/5)\\ AC=2.4\ units$

Step 2

Find the value of BC

we know that

in the right triangle ABC

Applying the Pythagorean Theorem

$AB^{2} =AC^{2}+BC^{2}\\ BC^{2}=AB^{2} -AC^{2}$

substitute the values

$BC^{2}=12^{2} -2.4^{2}\\BC^{2}= 138.24\\ BC=11.76\ units$

Step 3

Find the value of BD

we know that

in the right triangle BCD

Applying the Pythagorean Theorem

$BD^{2} =DC^{2}+BC^{2}$

substitute the values

$BD^{2} =2^{2}+11.76^{2}$

$BD=11.93\ units$

therefore

the answer is

the length of BD is 11.93 units

8 0

3 years ago

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