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7 months ago

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]7 months 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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What is the formula for the nth term for the following sequence? 12, 9, 6, 3, ...

Lady bird [3.3K]

Answer:

your questions answer is 37.

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2 years ago

20.294117 what is this figure to 2 decimal places

geniusboy [140]

We need to take care of the third decimal placer for rounding issues, however the third decimal place is 4, so it does not round, hence, we have:
20.294117 = 20.29

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3 years ago

Need help to do this step by step please 3x2 - 2x=-1

sdas [7]

Answer:

Solving the expression $3x^2-2x=-1$ we get: $\mathbf{x=\frac{1+\sqrt{2}i }{3}\:or\:x=\frac{1-\sqrt{2}i }{3}}$

Step-by-step explanation:

We need to solve the expression: $3x^2-2x=-1$

This is a quadratic expression and it can be solved using quadratic formula

Solving:

$3x^2-2x=-1\\$

we can write it as:

$3x^2-2x+1=0$

The quadratic formula is: $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

where a = 3, b = -2 and c= 1

Putting values and solving:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-2)\pm\sqrt{(-2)^2-4(3)(1)}}{2(3)}\\x=\frac{2\pm\sqrt{4-12}}{2(3)}\\x=\frac{2\pm\sqrt{-8}}{6}\\We\:know\:that\:\sqrt{-1}=i\\x=\frac{2\pm\sqrt{8}\sqrt{-1} }{6} \\We\:know\:\sqrt{8}=\sqrt{2\times 2 \times 2}=\sqrt{2^2 \times 2}=2\sqrt{2} \\x=\frac{2\pm2\sqrt{2}i }{6}\\Now,\\x=\frac{2+2\sqrt{2}i }{6}\:or\:x=\frac{2-2\sqrt{2}i }{6}\\x=\frac{2(1+\sqrt{2}i) }{6}\:or\:x=\frac{2(1-\sqrt{2}i) }{6}\\x=\frac{1+\sqrt{2}i }{3}\:or\:x=\frac{1-\sqrt{2}i }{3}$

So, solving the expression $3x^2-2x=-1$ we get: $\mathbf{x=\frac{1+\sqrt{2}i }{3}\:or\:x=\frac{1-\sqrt{2}i }{3}}$

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2 years ago

A circle with center on (7,0) with a radius of 9.

Greeley [361]

Answer:

The answer to your question is (x - 7)² + y² = 81

Step-by-step explanation:

Data

Center = (7, 0)

radius = 9

Process

To find the standard equation of a circle, just substitute the values of the center and the radius.

Standar equation of a circle

(x - h)² + (y - k)² = r²

-Identify the values of h and k

h = 7 k = 0 and r = 9

-Substitution

(x - 7)² + (y - 0)² = 9²

-Simplification

(x - 7)² + y² = 81

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2 years ago

Is 2(x - 6) = -35 equivalent to 2x = -23

rusak2 [61]

Yes, if you just distribute 2(x-6). Then you would have 2x-12 = -35 then add 12 to the -35 and your answer would be 2x = -23 and leads to them being equivalent.

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2 years ago