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3 years ago

Write the equation of a line in slope intercept form that contains ( 1 ,-2) and ( 3,2)

Mathematics

1 answer:

dmitriy555 [2]3 years ago

7 0

Answer: y = 2x - 4

Step-by-step explanation:

Gradient => (2 - (-2))/(3 - 1) = 4/2 = 2

so, equation is y = 2x + C

Using (3, 2) we have: 2 = 2(3) + C

Hence, C = -4

Therefore, y = 2x - 4

:)>

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A biologist took a count of the number of migrating waterfowl at a particular lake, and recounted the lake's population of water

taurus [48]

Quadratic function ( in standard form ):

y = a x² + b x + c

x = 0:

635 = 0 + 0 + c

c = 635

x = 1:

644 = a + b + 635

a + b = 9

x = 2:

719 = 4 a + 2 b + 635

4 a + 2 b = 84

and now we have a system:

a + b = 9 / * ( - 2 )

4 a + 2 b = 84

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

- 2 a + 2 b = - 18

4 a + 2 b = 84

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

2 a = 66

a = 33; b = - 24;

Function is:

f ( x ) = 33 x² - 24 x + 635

f ( 8 ) = 33 * 64 - 24 * 8 + 635 = 2,112 - 192 + 635 = 2,555

Answer: The number of waterfowl on week 8 would be 2,555.

8 0

3 years ago

Choose the correct correspondence RT

Marizza181 [45]

$RT$ corresponds to TR. correct option b.

Step-by-step explanation:

In the given parallelogram or rectangle , we have a diagonal RT . We need to find which side is in correspondence with side/Diagonal RT of parallelogram URST .

Side TU:

In triangle UTR , we see that TR is hypotenuse and is the longest side among UR & TU . So , TR can never be equal in length to UR & TU . So there's no correspondence of Side TU with RT.

Side TR:

Since, direction of sides are not mentioned here , we can say that TR & RT is parallel & equal to each other . So , TR is in correspondence with side/Diagonal RT of parallelogram URST .

Side UR:

In triangle UTR , we see that TR is hypotenuse and is the longest side among UR & TU . So , TR can never be equal in length to UR & TU . So there's no correspondence of Side UR with RT.

4 0

3 years ago

John wants to simplify the expression (5+3) to the power of 2. As a first step, he writes 5 to the power of 2+3to the power of 2

Anna35 [415]

No, he needs to do 5(to the power of 2) plus 3(to the power of 2)
this should give him 25 plus 9 = 34

6 0

3 years ago

The sum of five and three times a number is 74. Find the number.

Helga [31]

Answer:23

Step-by-step explanation:

7 0