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3 years ago

This table gives a few (x,y) pairs of a line in the coordinate plane what is the y-intercept of the line (16,44) (24,64) (32,84)

Mathematics

2 answers:

sammy [17]3 years ago

7 0

Answer:

[see explanation and graphs]

Step-by-step explanation:

Going by the slope, which is 5/2, your y-intercept would be 4.

$m=\frac{64-44}{24-16} =\frac{20}{8} =\frac{5}{2}$

lapo4ka [179]3 years ago

5 0

Answer:

Step-by-step explanation:

find the equation of the line:

slope = rise / run

rise is 20, run is 8

20/8 = 5/2

slope intercept form is y = mx + b

where m is slope and b is y int

y = 5/2(x) + b

use a point given to find b

44 = 5/2(16) + b

44 = 40 + b

b = 4

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3x^2 + 4x = -8<br> solve using quadratic formula

Firdavs [7]

Use the quadratic equation to solve this (image of the quadratic equation is below)

Remember that quadratic functions are set up like so:

$ax^{2} +bx +c = 0$

To make the equation 3x² + 4x = -8 into a quadratic function you must bring -8 to the left side of the equation so it equals zero. To do this add 8 to both sides

3x² + 4x + 8= -8 + 8

3x² + 4x + 8 = 0

That means that in this equation...

a = 3

b = 4

c = 8

^^^Plug these numbers into the quadratic equation and solve (Keep in mind that +/- is ± )

$\frac{-4+/-\sqrt{(4)^{2}-4(3)(8)}}{2(3)}$

$\frac{-4+/-\sqrt{16-96}}{6}$

$\frac{-4+/-\sqrt{-80}}{6}$

^^^There is no real solution to this equation. You must have an imaginary solution

$\frac{-4+/-i\sqrt{80}}{6}$

Simplify

$\frac{-2+/-2i \sqrt{5}}{3}$

Hope this helped!

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2 years ago

The difference between the square of two numbers is 11. Twice the square of the first number increased by the square of the seco

jeyben [28]

Answer:

Below in bold.

Step-by-step explanation:

x^2 - y^2 = 11

2x^2 + y^2 = 97

From the first equation:

y^2 = x^2 - 11

Substituting in the second equation:

2x^2 + x^2 - 11 = 97

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x^2 = 36

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Substituting for x in the first equation:

(6)^2 - y^2 = 11

y^2 = 36 - 11 = 25

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3 years ago

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zepelin [54]

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Nitella [24]

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