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jonny [76]
3 years ago
12

Ethan wants to run 26.2 miles of the marathon in 4.5 hours. At about what rate will he have to run to reach his goal? Round to t

he nearest tenth.
Mathematics
1 answer:
ludmilkaskok [199]3 years ago
6 0

Answer: About 5.8 mph.

Step-by-step explanation: Divide 26.2 by 4.5 and it’ll give you 5.82222222... round to the nearest tenth and you get 5.8

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Answer:

$1000.00

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Explain how to simplify this expression: 4a + 19 - 3a - 7<br><br><br> WRITER
mafiozo [28]
Ok so put the a factors together first
4a + 19 - 3a - 7 = a + 19 + 7
a + 19 + 7 = a + 26
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F+ 20 = -1<br> Solve the equation and check your solution
Leona [35]

Answer:

f=-21

Step-by-step explanation:

-21+20=-1

f has to be a negative number as the answer is negative and -21 is the only plug in that would make sence as the answer is negative one.

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3 years ago
12 + x/4 = 9<br> Simplify Plz need ASAP
agasfer [191]

Answer: X = -12

Step-by-step explanation:  1)  12 + x/4 = 9

                                              2)  12 + x/ 2^2 = 9

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6 0
3 years ago
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
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