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amm1812
3 years ago
10

Nathanial is using the quadratic formula to solve 0=x^2+5x-6. His steps are shown below. What are the solutions to the equation?

Mathematics
1 answer:
ollegr [7]3 years ago
8 0

Answer:

x=1, x=-6

Step-by-step explanation:

x^2+5x-6=0 can be reduced to (x+6)(x-1)=0

we now have x+6=0 and x-1=0

solve by subtracting 6 from each side in the first equation and adding 1 to each side in the second.

x=1, x=-6

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Write the equation for a parabola with a focus at (-8, -1) and a directrix at y = − 4.
Sidana [21]

Answer:

y = 1/6 x^2 + 8/3 x + 49/6

Step-by-step explanation:

This is a parabola which opens upwards.

The distance of a point (x, y)  from the focus is

√[(x -  -8)^2  + (y - -1)^2] and

the distance of the point from the line y = -4

= y - -4

These distances are equal for a parabola so:

√[(x -  -8)^2  + (y - -1)^2] = y + 4

Squaring both sides:

(x + 8)^2 + (y + 1)^2  = (y + 4)^2

x^2 + 16x + 64 + y^2 + 2y + 1 = y^2 + 8y + 16

x^2 + 16x + 64 + 1 - 16 = 8y - 2y

6y = x^2 + 16x + 49

y = 1/6 x^2 + 8/3 x + 49/6 is the equation of the parabola.

4 0
3 years ago
What is the interquartile range of the following data set? 3,8, 14, 19, 22, 29, 33, 37, 43, 49. A. 26 B. 23 C. 19 D. 18
Fynjy0 [20]

Answer:

I think the answer is B.23

8 0
3 years ago
The question is below
Viktor [21]

Answer:

sin I = \frac{80}{89}

Step-by-step explanation:

sin I = \frac{opposite}{hypotenuse} = \frac{KJ}{JI} = \frac{80}{89}

6 0
2 years ago
To solve -3 = -19 + d/5, what steps would you use?
Phantasy [73]

Answer:

1)Add 19

2)Multiply by 5

Step-by-step explanation:

-3=-19+\frac{d}{5}

Adding 19 to both sides.

-3+19=-19+19+\frac{d}{5}\\\\16=\frac{d}{5}

Multiplying 5 to both sides.

16\times5=\frac{d}{5}\times 5\\80=d\\\\

∴d=80

7 0
3 years ago
Pls answer this question
AysviL [449]

Answer:

A and C

Step-by-step explanation:

5 0
3 years ago
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