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3 years ago

Which expression is equivalent to (3-5i)-(-2+i)

Mathematics

1 answer:

N76 [4]3 years ago

3 0

Answer:

-6i + 5

Step-by-step explanation:

(3-5i)-(-2+i) = 3 - 5i + 2- i = (-5i - i) + (3 + 2) = -6i + 5

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Going through York Canal, he drives 5 miles in 15 minutes. Later on as he crosses Stover Lake, he drives 30 minutes at the same

SVETLANKA909090 [29]

When going through York Canal, his speed is 1 mile per 3 minutes.

If going by this speed while crossing Stover Lake, he would drive 10 miles in 30 minutes.

Therefore, he drove 10 miles.

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4 years ago

A bridge in the shape of an arch connects two cities separated by a river. The two ends of the bridge are located at (–7, –13) a

sdas [7]

Answer:

$y=-\dfrac{13}{49}x^2$

Step-by-step explanation:

The shape of an arch corresponds to a parabola.

the general equation for a parabola is:

$y=ax^2+bx+c$

we're given three coordinates: (-7,-13),(7,-13) and (0,0)

so we can plug these values in the general equation to make 3 separate equations:

(x,y) = (-7,-13)

$-13=a(-7)^2+b(-7)+c$

$49a-7b+c=-13$

(x,y) = (7,-13)

$-13=a(7)^2+b(7)+c$

$49a+7b+c=-13$

(x,y) = (0,0)

$0=a(0)^2+b(7)+c$

$c=0$

so we have three equations. and we can solve them simultaneously to find the values of a,b, and c.

we've already found c = 0, let's use substitute it to other equations.

$49a-7b+c=-13\quad\Rightarrow\quad49a-7b=-13$

$49a+7b+c=-13\quad\Rightarrow\quad49a+7b=-13$

we can solve these two equation using the elimination method, by simply adding the two equations

$\quad\quad49a-7b=-13\\+\quad49a+7b=-13$

------------------------------

$\quad\quad 98a=-26$

$\quad\quad a=-\dfrac{13}{49}$

Now we can plug this value of a in any of the two equations.

$49a-7b=-13$

$49\left(-\dfrac{13}{49}\right)-7b=-13$

$-13-7b=-13$

$-7b=0$

$b=0$

We have the values of a,b, and c. We can plug them in the general equation to find the equation of the arch.

$y=\left(-\dfrac{13}{49}\right)x^2+0x+0$

$y=-\dfrac{13}{49}x^2$

$49y=-13x^2$

This our equation of the arch!

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3 years ago

Please help ASAP!!! Find the area of the triangle.

pentagon [3]

Answer:

2.3cm x 4cm =

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2 years ago

Fazio chooses a jersey at random and then replaces it. He then selects a second jersey at random. What is the probability that f

Natalka [10]

Answer:

4% probability that fazio selects a striped jersey both times.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem:

For each jersey, there are 2+5+3 = 10 possible options, two of which are striped.

So twice 2/10

$p = (\frac{2}{10})^{2} = \frac{4}{100}$

4% probability that fazio selects a striped jersey both times.

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3 years ago

I will put brainiest for the first one who answers!

Anuta_ua [19.1K]

20% off use your brain

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3 years ago

Read 2 more answers