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3 years ago

What is the solution to 2x^2-3x-1=0

1 answer:

7 0

x=43+√17,43−√17 Is the answer.

I hope this helps. :)

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The water reaches a max height when the horizontal distance from the firefighter to the building is approximately __m. Round to

elena-s [515]

The horizontal distance from the firefighter at which the maximum height of water occurs is 10.83m

Explanation:

Given:

h(x) = -0.026x² + 0.563x + 3

where,

h(x) is the height of the water

Initial speed, u = 14m/s

angle, θ = 30°

(a)

Horizontal distance = ?

h(x) = ax² + bx + c

the vertex is found at x = -b/2a

where,

x = distance to the maximum height

As compared to the equation given:

a = -0.026

b = 0.563

Thus,

$x = \frac{-0.563}{2 X -0.026} \\\\x = \frac{0.563}{0.052}\\ \\x = 10.83m$

Therefore, horizontal distance from the firefighter at which the maximum height of water occurs is 10.83m

3 0

3 years ago

Problem 1: two numbers add together equals 47. their difference is 13. write and solve a system to find the two numbers

mr Goodwill [35]

Answer:

34+13= 47

Step-by-step explanation:

47-34=13

8 0

3 years ago

Exit

Zarrin [17]

Answer:

one third :) ;) hope it helps

5 0

3 years ago

Peter works as a delivery person for a bike shipping company. The graph shows a linear model for his

evablogger [386]

Answer/Step-by-step explanation:

a. Using a point on the graph, (6, 12), and the slope of the line, we can first generate an equation in the point-slope form, given as $y - b = m(x - a)$ , where,

m = slope, and (a, b) is a point on the line.

Using two points, (6, 12) and (3, 21), let's find slope, m.

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{21 - 12}{3 - 6} = \frac{9}{-3} = -3$

Using a point (6, 12) and slope, m = -3, generate an equation in the point-slope form by substituting a = 6, b = 12, and m = -3 in $y - b = m(x - a)$ .

✅Equation in point-slope form would be:

$y - 12 = -3(x - 6)$