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2 years ago

Ron cycles 12Km due west and then 9Km due north. Find the shortest distance covered by him to reach his starting point?

Mathematics

1 answer:

svp [43]2 years ago

7 0

Shortest distance 55 feet long

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Easy Question. 4. In photo.

Luden [163]

Use the slope formula:

$\frac{y_2-y_1}{x_2-x_1}$

Plug in the values:

$\frac{2-(-5)}{4-0} = \frac{7}{4}$

So 7/4 is the slope.

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2 years ago

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Find the slope of the line that passes through (2, 3) and (4, 4).

GuDViN [60]

For me cross multiplying works really well.

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2 years ago

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What is 7C3? Thanks.

Lerok [7]

Answer:

C7,3=7!( 3!)( 7−3)!= 7! I think tell me if I'm wrong?

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2 years ago

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create a perfect square trinomial that can be factored using special patterns. Factor the trinomial and show all work for full c

Lyrx [107]

Answer: $4x^2+12x+9$

Step-by-step explanation:

A perfect square trinomial is written as $ax^2+bx+c$ , where

first term $ax^2$ = square of first term of binomial

second term= $bx$ =twice the product of both terms of binomial.

and third term 'c'=square of last term of binomial

Thus to create a perfect square trinomial put 'a' and 'c' a square number

Let a=4 and c=9

The required trinomial will be

$4x^2+12x+9$

$=(2x)^2+2(2x)(3)+3^2\\=(2x+3)^2.......\text{[using pattern}(a+b)^2=a^2+2ab+b^2]\\=(2x+3)(2x+3)$

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2 years ago

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Simplify x^1/3(x^1/2+2x^2)

Marizza181 [45]

Answer:

$x^{5/6 } + 2\cdot x^{7/3}$

Step-by-step explanation:

Let be $x^{1/3}\cdot (x^{1/2} + 2\cdot x^{2})$ , which can be simplified solely by algebraic means. We proceed to describe all the steps needed for simplification:

1) $x^{1/3}\cdot (x^{1/2} + 2\cdot x^{2})$ Given.

2) $x^{1/3}\cdot x^{1/2} + 2\cdot (x^{1/3}\cdot x^{2})$ Distributive and associative properties.

3) $x^{5/6 } + 2\cdot x^{7/3}$ $a^{m}\cdot a^{n} = a^{m+n}$ /Result

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2 years ago