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zzz [600]
3 years ago
7

two joggers run 8 miles north and then 5 miles west. what is the shortest distance, to the nearest tenth of a mile, they must tr

avel to return to their starting point? round to the nearest tenths place
Mathematics
1 answer:
Rudiy273 years ago
3 0
A² + b² = c²

c² = 8² + 5²

c² = 89

c = √89

c = 9.4 miles

Answer: 9.4 miles
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Which inequality statement describes the two numbers on a number line? "−13 and a number 18 units to the right of −13"
natali 33 [55]
-13 + 18 = x. The number is 5
3 0
3 years ago
I NEED HELP PLEASE, THANKS! :) Determine the zeros for and the end behavior of f(x) = x(x – 4)(x + 2)^4.
Amiraneli [1.4K]

Answer:  a) zeros: x = {0, 4, -2}

               b) as x → ∞,  y → ∞

                   as x → -∞,  y → ∞

<u>Step-by-step explanation:</u>

I think you mean (a) find the zeros and (b) describe the end behavior

(a) Find the zeros by setting each factor equal to zero and solving for x:

      x (x - 4) (x + 2)⁴ = 0

  • x = 0   Multiplicity of 1  --> odd multiplicity so it crosses the x-axis
  • x = 4  Multiplicity of 1  --> odd multiplicity so it crosses the x-axis
  • x = -2 <u>Multiplicity of 4 </u> --> even multiplicity so it touches the x-axis

                       Degree  =  6

(b) End behavior is determined by the following two criteria:

  1. Sign of Leading Coefficient (Right side): Positive is ↑, Negative is ↓
  2. Degree (Left side): Even is same direction as right side, Odd is opposite direction of right side

Sign of the leading coefficient is Positive so right side goes UP

                                                                        as x → ∞,  y → ∞

Degree of 6 is Even so Left side is the same direction as right (UP)

                                                                        as x → -∞,  y → ∞

7 0
3 years ago
Can someone help me out on this please having trouble on both and show work please !!
inysia [295]

The difference of the expression is as follows:

(6y⁴ + 3y² - 7) - (12y⁴ - y² + 5) = - 6y⁴ + 4y² - 12

3(x - 5) - (2x + 4) = x - 19

<h3>How to find the difference of the expression?</h3>

The difference of the expression can be found when we combine the like terms.

Therefore,

(6y⁴ + 3y² - 7) - (12y⁴ - y² + 5)

6y⁴ + 3y² - 7  - 12y⁴ + y² - 5

6y⁴ - 12y⁴ + 3y² + y² - 7 - 5

- 6y⁴ + 4y² - 12

3(x - 5) - (2x + 4)

3x - 15 - 2x - 4

3x - 2x - 15 - 4

x - 19

learn more on expression here: brainly.com/question/14294918

#SPJ1

5 0
2 years ago
Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question.
scoundrel [369]

Answer:

8(15 – m)

Step-by-step explanation:

Just Did The Test

7 0
3 years ago
Read 2 more answers
Which is an equation in point-slope form of the line that passes through the points (4,5) and (-3,-1)?
Annette [7]
(4,5),(-3,-1)
slope = (-1 - 5) / (-3 - 4) = -6/-7 = 6/7

y - y1 = m(x - x1)
slope(m) = 6/7
using points (-3,-1)...x1 = -3 and y1 = -1
now we sub...pay attention to ur signs
y - (-1) = 6/7(x - (-3) =
y + 1 = 6/7(x + 3) <===
6 0
3 years ago
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