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Anna [14]
2 years ago
5

I have two questions. Both need written in standard form. Please show your work!!

Mathematics
1 answer:
denpristay [2]2 years ago
8 0

Answer:

1) 3x - 15y = 5

2) 6x - 21y = 7

Step-by-step explanation:

standard form:  Ax + By = C

1) y = 1/5x + 1/3

multiply each side by 15 to eliminate fractions: 15y = 3x + 5

final form: 3x - 15y = -5

2) y = 2/7x - 1/3

multiply each side by 21 to eliminate fractions: 21y = 6x - 7

final form: 6x - 21y = 7

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a ferry shuttles people from one side of a river to the other. the speed of the ferry is still water is 25 mi/h. the river flows
Anarel [89]

Answer:

The Terry's resultant speed is 27mi/h

Direction of ferry=20°

Step-by-step explanation:

(-25,0) + ( 0, 9)= (-25, -9) is the vector representing the movement of the ferry

Speed of ferry = sqrt[(-25)^2 + (-9)^2]

Speed= sqrt (-625 + (-81))

Speed= sqrt(-706)

Speed=26.57mi/h

Nearest tenth,speed= 27mi/h

Tanz° = (-9/-25)

Tanz°= 0.36

Z°= tan^-1 0.36

Z= 19.80°

Nearest tenth,z=20°

7 0
3 years ago
2.3×10⁹=(1×10³)(2.3×10^n)​
kotegsom [21]

Answer:

<em>n = 6 </em>

Step-by-step explanation:

2.3 × 10^{9} = (1 × 10³)(2.3 × 10^{n} )

(1 × 10³)(2.3 × 10^{n} ) = (1)(2.3) × (10³)( 10^{n} ) = 2.3 × 10^{3+n}

2.3 × 10^{3+n} = 2.3 × 10^{9} ⇒ 3 + n = 9 ⇒ <em>n = 6</em>

5 0
3 years ago
The angles of a triangle add up to 180 degrees.
Alex_Xolod [135]

Answer:

33°

Step-by-step explanation:

We were given that:

1- The angles of a triangle add up to 180 degrees

2- The second angle is 15 degrees larger than the smallest angle

3- The third angle is 3 times as big as the smallest angle

So, first of all, let's call the smallest angle x.

the second angle will be (x + 15°) since it is 15 degrees greater than the smallest angle

and the third will be 3x, since it is 3 times bigger than the smallest angle.

With the information we have, we can form an equation!

180° = x + (x+ 15°) + 3x

180° = 5x + 15°

180° - 15° = 5x + 15° - 15°

165° = 5x

165°/5 = 5x/5

33° = x

therefore, the smallest angle measures 33° degrees, the second angle measures 48° and the third angle measures 99°.

99° + 33° + 48° = 180°

so it is safe to say this answer is correct!

8 0
3 years ago
Please please help me!!
Alona [7]

Answer:

g(x) = f(x+1) + 1

Step-by-step explanation:

Since the graph is only moved you don't have to worry about the slope.

To move the graph to the left you add to the x and in this case, it only moved 1 over.

to move the graph up you add to the whole function and in this case, it only moved up 1.

4 0
3 years ago
Which set of tokens represents 0?<br> Positive<br> Negative<br><br><br> Pls helpp!!
yKpoI14uk [10]

Answer:

C.

represent 0

hope it helps

5 0
3 years ago
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