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3 years ago

Graphing in Slope Intercept Form y=1/5x-1

Mathematics

1 answer:

topjm [15]3 years ago

6 0

Answer:

Please See Below.

Step-by-step explanation:

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Select the two values of x that are roots of this equation.<br>x + 2x - 6 = 0

VLD [36.1K]

For this case we must solve the following quadratic equation:

$x ^ 2 + 2x-6 = 0$

Where:

$a = 1\\b = 2\\c = -6$

The solution is given by:

$x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}$

Substituting:

$x = \frac {-2 \pm \sqrt {2 ^ 2-4 (1) (- 6)}} {2 (1)}\\x = \frac {-2 \pm \sqrt {4 + 24}} {2}\\x = \frac {-2 \pm \sqrt {28}} {2}\\x = \frac {-2 \pm \sqrt {2 ^ 2 * 7}} {2}\\x = \frac {-2 \pm2 \sqrt {7}} {2}\\x = -1 \pm \sqrt {7}$

Thus, we have two roots:

$x_ {1} = - 1+ \sqrt {7}\\x_ {2} = - 1- \sqrt {7}$

ANswer:

$x_ {1} = - 1+ \sqrt {7}\\x_ {2} = - 1- \sqrt {7}$

8 0

4 years ago

What is the difference when 6x3 − 8x2 − 9 is subtracted from 4x3 − 7x2 + 14?

kirill115 [55]

Answer:

Step-by-step explanation:

7 0

4 years ago

Answer is 8.99, but how tho

Mnenie [13.5K]

Answer:

x ≈ 8.99

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between trig functions and sides in a right triangle. Here, the geometry of the problem can be modeled by a right triangle. We are given one side and want to find the difference in lengths of the other side for two different angles.

<h3>setup</h3>

The tower height is the side opposite the angle of elevation. The distance from the tower to the end of the shadow is the side adjacent to the angle of elevation, so the relevant trig relation is ...

Tan = Opposite/Adjacent

tan(angle of elevation) = (tower height)/(length of shadow)

Solving for the length of shadow, we have ...

length of shadow = (tower height)/tan(angle of elevation)

The difference in shadow lengths is 2x for the two different angles, so we have ...

2x = 24.57/tan(30°) -24.57/tan(45°)

<h3>solution</h3>

Dividing by 2 and factoring out the tower height, we have ...

x = 12.285(1/tan(30°) -1/tan(45°)) = 12.285(√3 -1)

x ≈ 8.993244

The value of x is about 8.99.

7 0

2 years ago

The highest temperature in Fairbanks Alaska was 15.7 degrees Fahrenheit one day that night the temperature fell 38.4 degrees wha

Kaylis [27]

Answer:

-22.7 degrees Fahrenheit

Step-by-step explanation:

Subtract change in temperature from the original temperature. 15.7 - 38.4 = -22.7. Hope this helps!!

8 0

3 years ago

Which is the correct one???

Alik [6]

Answer:

Step-by-step explanation:

5x-22+4x+4 = 90

9x-18=90

9x=108

x=12

4*12+4

6 0

4 years ago

Read 2 more answers