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irakobra [83]
3 years ago
10

i need help please answer for me ... Logan drove from New Orleans to Nashville to visit friends. Logan drove the speed limit whi

ch was 60 miles/hour. If Logan's driving time for the trip was 9 hours, how many miles did Logan drive?
Mathematics
1 answer:
viva [34]3 years ago
8 0
1 hour = 60 miles
You have to multiply 60x9= 560
560 miles
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1. What is the vertex form of the equation?
sergeinik [125]

1.vertex form is y=a(x-h)^2+k

to get into vertex form, complete the square

y=-x^2+12x-4

step 1: group x terms

y=(-x^2+12x)-4

step 2: factor coefient in front of x^2 term

y=-1(x^2-12x)-4

prep for next step: take 1/2 of linear (1st dgree term) and square it

\frac{-12}{2}=-6, (-6)^2=36

step 3: add positive and negative of that previous number inside the parenthasees

y=-1(x^2-12x+36-36)-4

factor perfect squaer trionmial

y=-1((x-6)^2-36)-4

take out that -36 by expansion

y=-1(x-6)^2+36-4

y=-1(x-6)^2+32



2. factor out the 2

2(x^2+8x+12)

what 2 numbers multiply to get 12 and add to get 8?

2 and 6

2(x+2)(x+6)


3.

for ax^2+bx+c=0

x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}

in our case

x^2-7x-6=0

a=1, b=-7, c=-6

x=\frac{-(-7) \pm \sqrt{(-7)^2-4(1)(-6)}}{2(1)}

x=\frac{7 \pm \sqrt{73}}{2}

so x=\frac{7+\sqrt{73}}{2} and x=\frac{7-\sqrt{73}}{2}



4. remember that i=\sqrt{-1} so i^2=-1

treat i as a variable

(-2i)(8i)=

(-2)(i)(8)(i)=

(-2)(8)(i)(i)=

(-16)(i^2)=

(-16)(-1)=

[tex}16[/tex]

8 0
3 years ago
Read 2 more answers
Segment AB has point A located at (6, 6). If the distance from A to B is 5 units, which of the following is the coordinate for p
Ierofanga [76]
The choices are (3, 2) (2, 5) (6, 7) and (7, 5). The distance formula given two points is d = square root of [<span>(y2−y1)^2+(x2−x1)^2]. In this case, we try every point in the choices and substitute y1 equal to 6 and x1 equal to 6 as well.  The answer is A from the choices. 
</span>d=square root of [(6−2)^2+(6−3)2]
d=square root of [(4)^2+(3)^2] d=square root of [16+9] d=<span>square root of [</span>25]
d=5
4 0
3 years ago
Plsssssss helpppppppp!!!!!!!!!!
Sphinxa [80]
I think it might be x + b square
6 0
3 years ago
Please help me with this
Leona [35]

Answer:

Option B has infinitely many solutions.

8 0
3 years ago
If in one year a city recorded a total of 97 rainy, how many of the days did it not rain?
Shalnov [3]

1 year = 365 days

365 -97 = 268

it did not rain 268 days

3 0
4 years ago
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