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3 years ago

When solving the equation 2x + 5 = 13, what is your first step?

Mathematics

1 answer:

Olin [163]3 years ago

8 0

Answer:

A) Subtract 5 from each side

Step-by-step explanation:

This would be your first step, then you would want to isolate your variable so you would divide both sides by 2.

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Answer:

The answer will be y-4=-2(x+1)

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3 years ago

Which property of addition is shown in the equation below?

andrezito [222]

Answer:

i think its identity

Step-by-step explanation:

because ur adding zero

i might be wrong, i dont know

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3 years ago

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How many different teams of 11 players can be chosen from a soccer squad of 16

Lerok [7]

1 because 11 can only go into 16 once

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3 years ago

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show all work to multiply 3 plus the square root of negative 16 times 6 minus the square root of negative 64

Aloiza [94]

Answer:

$\Huge \boxed{3+16i}$

$\rule[225]{225}{2}$

Step-by-step explanation:

$3+\sqrt{-16} * 6-\sqrt{-64}$

Using imaginary number rule : $\sqrt{-n} =\sqrt{n} *i$

Where $n$ is a positive integer.

$3+\sqrt{16} *i* 6-\sqrt{64}*i$

$3+4i* 6-8i$

Multiplying.

$3+24i-8i$

Combining like terms.

$3+16i$

$\rule[225]{225}{2}$

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4 years ago

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Find the angle between the vectors. (First find an exact expression and then approximate to the nearest degree.)

Luda [366]

Answer:

$a.b = (1*0) + (-4*2) +(1*-2)= -10$

And replacing we got:

$cos \theta = \frac{-10}{\sqrt{18} \sqrt{8}}= -\frac{10}{\sqrt{144}}= -\frac{10}{12}= -\frac{5}{6}$

And we can find the angle with the inverse cosine function and we got:

$\theta =cos^{-1} (-\frac{5}{6})= 146.44°$

Step-by-step explanation:

for this case we can use the following identity:

$cos \theta = \frac{a.b}{|a| |b|}$

We can begin finding the norm for each vector and we got:

$|a| =\sqrt{(1)^2 +(-4)^2 +(1)^2}= \sqrt{18}$

$|b| =\sqrt{(0)^2 +(2)^2 +(-2)^2}= \sqrt{8}$

Now we can find the dot product and we got:

$a.b = (1*0) + (-4*2) +(1*-2)= -10$

And replacing we got:

$cos \theta = \frac{-10}{\sqrt{18} \sqrt{8}}= -\frac{10}{\sqrt{144}}= -\frac{10}{12}= -\frac{5}{6}$

And we can find the angle with the inverse cosine function and we got:

$\theta =cos^{-1} (-\frac{5}{6})= 146.44°$

5 0

3 years ago