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kenny6666 [7]
3 years ago
6

Helpppp assaaaaaaap determine the equation of line (AB)A(I;1) and B(0;5)​

Mathematics
1 answer:
Tanya [424]3 years ago
3 0

Given:

Consider the two points are A(1,1) and B(0,5)​.

To find:

The equation of the line AB.

Solution:

If a line passes through the two points, then the equation of the line is:

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

We A(1,1) and B(0,5)​. So, the equation of line AB is:

y-1=\dfrac{5-1}{0-1}(x-1)

y-1=\dfrac{4}{-1}(x-1)

y-1=-4(x-1)

y-1=-4x+4

Add 1 on both sides, we get

y=-4x+4+1

y=-4x+5

Therefore, the equation of the line AB is y=-4x+5.

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20,10,5, ...<br> Find the 9th term.
iren [92.7K]

Answer:

0.078125.

Step-by-step explanation:

This is a geometric sequence with first term a1 = 20 and common ratio r = 10/20 = 5/10 = 0.5.

nth term = a1 r^(n -1) so here:

9th term = 20(0.5)^(9-1)

= 20(0.5)^8

= 0.078125.

6 0
2 years ago
Not sure how to solve this
Zigmanuir [339]

Answer:

Step-by-step explanation:

In the table, they give you an x-value.  Use the x-value to solve for y.  You will then get a point.  Plot the points to find the graph.

y = 1/2x

y = 1/2(0)

y = 0

(0, 0)

y = 1/2x

y = 1/2(2)

y = 1

(2, 1)

y = 1/2x

y = 1/2(-4)

y = -2

(-4, -2)

3 0
4 years ago
Lin ran twice as far as Diego. Diego ran 300m farther than jada. Jada ran 1/3 the distance that Noah ran. Noah ran 1200 m. How f
astraxan [27]
Lin ran 1400 meters in total
8 0
3 years ago
9,540,000 in expanded form using exponents to show power of 10
alina1380 [7]
The expanded form of 9,540,000 is:
9,540,000 = 9000,000 + 500000 + 40000 + 000 +00 + 0
we can also write it as :
9,540,000 = 9 x 1000000 + 5 x 100000 + 4 x 10000
and using exponents as power of 10 is:
9,540,000 = 9 x 10⁶ + 5 x 10⁵ + 4 x 10⁴ 

5 0
3 years ago
In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr a
emmainna [20.7K]

Answer:

the  duration of the flight be 1 hour

Step-by-step explanation:

The computation of the duration of the flight is shown below:

Let us assume the duration of the flight be x hours

Now the equation would be

600 ÷ x - 600 x + (1 ÷ 2) = 200

600 ÷ x - 1200 ÷ 2x + 1 = 200  

x(2x + 1) = 3

2x² + x - 3 = 0

(2x + 3)(x - 1) = 0  

x = 1 hour

hence, the  duration of the flight be 1 hour

The same is to be considered

4 0
3 years ago
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