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antiseptic1488 [7]
1 year ago
9

Which balloons traveled 11,595 feet farther than Martin? Draw a strip diagram and write a number sentence to solve the problem.

Mathematics
1 answer:
coldgirl [10]1 year ago
6 0

From the table we notice that:

41507-29912=11595

This means that Diana traveled 11595 ft more than martin; this also means that Jake and Abby traveled more than that amount farther than Martin's balloon (since their distances are greater that Diana's distance)

Therefore, Abby's Jake's and Diana's balloons traveled 11595 ft farther than Martin's balloons.

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Find the center and radius of the circle represented by the equation below.
valina [46]

Answer:

radius 4

center (3,6)

Step-by-step explanation:

(x - h)^2 + (y - k)^2 = r^2

coordinates of the center (h, k) and the radius is (r)

x² + y²- 6x - 12y +29=0

x² - 6x + y²- 12y +29=0

(x² - 6x) + (y²- 12y) +29=0

complete the square

(x² - 6x) + 9 + (y²- 12y) +36 +29=  + 9  +36

(x² - 6x + 9) + (y²- 12y + 36) = + 9  +36 -29

(x-3)^2 + (y-6)^2 = 16

(x - h)^2 + (y - k)^2 = r^2

coordinates of the center (h, k) and the radius is (r)

center (3,6)

radius 4

cuemathcom

varsitytutors

3 0
2 years ago
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A ski lift is modeled by the function f(x) = (0.2)(–2x 3 + 23x 2 + 25x + 50), where x is the time in seconds. When it comes out
puteri [66]

Answer:

A ski lift is modeled by the function f(x) = (0.2)(–2x 3 + 23x 2 + 25x + 50), where x is the time in seconds. When it comes out of the first stop, it is now climbing toward its highest point from the ground. During which time interval will the ski lift reach a height over 50 feet above the ground?

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Solve for y.
ladessa [460]

Answer:

y = 9/b

Step-by-step explanation:

by = 9 solved for b yields y = 9/b.

7 0
3 years ago
Two more than four times a number is three
klio [65]

Answer:

1/4 is the number

a.k.a. 0.25

Step-by-step explanation:

Replace the words "a number" with x

4x + 2 = 3

Then, simplify

4x = 1

x = 1/4

5 0
3 years ago
Find the discriminant and the number of real roots for this equation.
Margaret [11]

Our discriminant is 0 so, 4x^2 + 12x + 9 = 0 has one real root.

Option C is correct.

Step-by-step explanation:

we need to find the discriminant and the number of real roots for the following equation:

4x^2 + 12x + 9 = 0

The discriminant is found by using square root part of quadratic formula:

b^2-4ac

where b =12, a=4 and c=9

Putting values:

=b^2-4ac\\=(12)^2-4(4)(9)\\=144-144\\=0

To find out the number of real roots using discriminant we have following rules:

  • if discriminant b^2-4ac >0 then 2 real roots
  • if discriminant b^2-4ac =0 then 1 real root
  • if discriminant b^2-4ac <0 then no real roots

Since our discriminant b^2-4ac is 0 so, 4x^2 + 12x + 9 = 0 has one real root.

Option C is correct.

Keywords: discriminant

Learn more about discriminant at:

  • brainly.com/question/8196933
  • brainly.com/question/9328925
  • brainly.com/question/4853862

#learnwithBrainly

6 0
3 years ago
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