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3 years ago

After eating all the leftovers, Chet drove back from Vail to Denver. He

Mathematics

1 answer:

Vladimir79 [104]3 years ago

3 0

Answer:

Driving time Denver to Aspen

Yes, it's about 3-1/2 hours from Denver to Aspen via Glenwood Springs. It's approx. 200 miles, all but the last 40 on I-70 interstate. The driving time will depend upon the weather and what day of the week you're traveling (I-70 can be jammed with skiers on Friday nights and Sat.

Step-by-step explanation:

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Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options.

MakcuM [25]

Answer:

8(x2 + 2x) = –3

8(x2 + 2x + 1) = –3 + 8

x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

Step-by-step explanation:

Solving Quadratic Equations

Sometimes it's preferred to solve quadratic equations without the use of the known quadratic formula solver. One of the most-used methods consists of completing squares and solving for x.

We have the equation

$\displaystyle 8x^2+16x+3=0$

We separate variables from constants

$\displaystyle 8x^2+16x=-3$

Taking the common factor 8

$\displaystyle 8(x^2+2x)=-3$

Completing squares in the brackets and balancing the equation in the right side

$\displaystyle 8(x^2+2x+1)=-3+8$

Factoring the perfect square

$\displaystyle 8(x+1)^2=5$

Isolating x

$\displaystyle (x+1)^2=\frac{5}{8}$

$\displaystyle (x+1)=\pm \sqrt{\frac{5}{8}}$

$\displaystyle x=-1\pm \sqrt{\frac{5}{8}}$

We can clearly see the steps used to solve the quadratic equation are (in order and written like in the question)

8(x2 + 2x) = –3

8(x2 + 2x + 1) = –3 + 8

x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

7 0

3 years ago

Read 2 more answers

1 / 2 is equal to x / 30 What does X equal?

GenaCL600 [577]

Answer:

x = 15

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Figure ABCD is transformed to obtain figure A′B′C′D′:

xz_007 [3.2K]

Answer:

Part A

Reflect over the y-axis: (x, y) → (-x, y)
A (-4, 4) → (4, 4)
B (-2, 2) → (2, 2)
C (-2, -1) → (2, -1)
D (-4, 1) → (4, 1)
Shift 4 units down: (x, y-4)
(4, 4-4) → A' (4, 0)
(2, 2-4) → B' (2, -2)
(2, -1-4) → C' (2, -5)
(4, 1-4) → D' (4, -3)

Part B

Two figures are congruent if they have the same shape and size. (They are allowed to be rotated, reflected and translated, but not resized).

Therefore, ABCD and A'B'C'D' are congruent. They are the same shape and size as they have only be reflected and translated.

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2 years ago

Multiply (2x^2-3x+5)(x^2+4x+1)

DochEvi [55]

Answer:

$2x^2-12x+5$