All categories

2 years ago

Quadratic equation solve using formula

Mathematics

1 answer:

kiruha [24]2 years ago

8 0

Answer:

2 , 1\2

Step-by-step explanation:

b² - 4ac = (-5)² - 4*2*2

= 25 - 16

= 9

$\sqrt{b^{2}-4ac} = \sqrt{9} = \sqrt{3*3}=3$

$x= \dfrac{-[-5] + 3}{2*2} ; x = \dfrac{-[-5]-3}{2*2}\\\\x =\dfrac{5+3}{4} ; x = \dfrac{5-3}{4}\\\\x=\dfrac{8}{4} ;x = \dfrac{2}{4}\\x = 2 ; x = \dfrac{1}{2}$

You might be interested in

the measure of the first angle is 40 degrees less than the measure of the second? need explanation. HELP

cricket20 [7]

I'm going to be there in a few minutes and then I'll be back to work tomorrow morning if you want to come over and take it easy tomorrow morning if you want to go to the store and get some of the stuff you can do for me and I'll get it done and I'll be there in a bit and then I'll get

8 0

3 years ago

A climber on Mt Everest is 6000 meters from the start of his trail and at elevation 8000 meters above sea level. At x meters fro

sergeinik [125]

Answer:

h'(x) = 0.6 and Δx = 1 and 2

h(6001) = h(6000) + h'(6000)(1) = 8000 +0.6 = 8,000.6

h(6002) = h(6000) + h'(6000)(2) = 8000 + 0.6 (2) =8000 +1.2 = 8001.2

Explanation below:

Step-by-step explanation:

Based on the information given we have that when the climber is 6000 meters from the start, his elevation is 8000 meters above sea level.

We know that the function for elevation is given by h(x) where x is the number of meters from the start.

Therefore, h(6000) = 8000.

We also know that the derivative of a function tells us the reason of change at some point (or how fast a function is changing near that point). For this problem we have that h'(x) = 0.6. (<u>meaning that the elevation increases in 0.6 meters for every meter they hike further nearby the 6000 meters</u>)

We need to use the derivative at a point to estimate values of the function at nearby points

We're going to use h'(x)= 0.6. Δx= 1

h(6001) = h(6000) + h'(6000)(1) = 8000 +0.6 = 8,000.6

Therefore h (6001) = 8,000.6

Now for h'(x)= 0.6. Δx= 1

h(6002) = h(6000) + h'(6000)(2) = 8000 + 0.6 (2) =8000 +1.2 = 8001.2

Therefore h(6002) = 8001.2

6 0

3 years ago

Opportunity to get Brainliest! I will put various questions and will mark BRAINLIEST!

Hatshy [7]

Answer:

parallel

Step-by-step explanation:

Parallel lines have equal slopes.

Calculate the slopes m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (2, 3)

m = $\frac{3-2}{2+1}$ = $\frac{1}{3}$

Repeat with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (3, 1)

m = $\frac{1-0}{3-0}$ = $\frac{1}{3}$

Since slopes are equal then parallel

4 0

2 years ago

What’s 3x+6y=12 in the form y=mx+b

zhenek [66]

Hey there!

3x+6y=12

Divide both sides by 3 and your equation would now look like:
x+2y= 4
Move the x to the other side
2y= -x+4
Seprate the y by dividing both sides by 2
y= $\frac{1}{2}$ x+2