Find the equation of the line that is perpendicular to y = -2x + 6 and passes though the point (-42

Mathematics

1 answer:

Illusion [34]3 years ago

4 0

Answer:

Step-by-step explanation:

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Please help with this postulate! :)

atroni [7]

Answer:

C. ASA postulate

Step-by-step explanation:

<u>We observe two angles and the included side of ABC are congruent to two angles and the included side of DBE:</u>

∠A ≅ ∠D
∠C ≅ ∠ E
AC ≅ DE

This is called ASA

7 0

2 years ago

Read 2 more answers

Look at the image. (calculus)

mash [69]

<h3>Answer: Choice H) 2</h3>

=============================================

Explanation:

Recall that the pythagorean trig identity is $\sin^2 x + \cos^2x = 1$

If we were to isolate sine, then,

$\sin^2 x + \cos^2x = 1\\\\\sin^2 x = 1-\cos^2x\\\\\sin x = \sqrt{1-\cos^2x}\\\\$

We don't have to worry about the plus minus because sine is positive when 0 < x < pi/2.

Through similar calculations, $\cos x = \sqrt{1-\sin^2x}\\\\$

Cosine is also positive in this quadrant.

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

So,

$\frac{\sqrt{1-\cos^2x}}{\sin x}+\frac{\sqrt{1-\sin^2x}}{\cos x}\\\\\frac{\sin x}{\sin x}+\frac{\cos x}{\cos x}\\\\1+1\\\\2$

Therefore,

$\frac{\sqrt{1-\cos^2x}}{\sin x}+\frac{\sqrt{1-\sin^2x}}{\cos x}=2$

is an identity as long as 0 < x < pi/2

5 0

2 years ago

Read 2 more answers

Omar wants to purchase a bike helmet for 22.55 and a bike for 134.45.

noname [10]

Answer:

$169.96 dollars

Step-by-step explanation:

Given the following questions:

8.25% of 22.55 and 134.45

In order to find the answer, we will have to add the initial costs of the items together, then we will calculate using the formula for percentages to find the tax rate.

$22.55+134.45=157$
$157$

<u>Calculate the percentage:
</u> $\frac{p\times c}{100}$
$\frac{8.25\times157}{100} =8.25\times157=1295.25\div100=12.9525$
$=12.9525$
$12.9525$
$2 < 5$
$=12.96$

<u>Add the sales tax:</u>
$157+12.96=169.96$
$=169.96$

Which means the two items along with an 8.25% sales tax costs "$169.96 dollars."

Hope this helps.