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2 years ago

What is an equation of the line that passes through the points (8,-8) and (-5,-8)

Mathematics

1 answer:

Vanyuwa [196]2 years ago

4 0

Step-by-step explanation:

steps are in picture above.

Note:if you need to ask any question please let me know.

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Let O be an angle in quadrant III such that cos 0 = -2/5 Find the exact values of csco and tan 0.

vivado [14]

well, we know that θ is in the III Quadrant, where the sine is negative and the cosine is negative as well, or if you wish, where "x" as well as "y" are both negative, now, the hypotenuse or radius of the circle is just a distance amount, so is never negative, so in the equation of cos(θ) = - (2/5), the negative must be the adjacent side, thus

$cos(\theta)=\cfrac{\stackrel{adjacent}{-2}}{\underset{hypotenuse}{5}}\qquad \textit{let's find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{5^2 - (-2)^2}=b\implies \pm\sqrt{25-4}\implies \pm\sqrt{21}=b\implies \stackrel{III~Quadrant}{-\sqrt{21}=b}$

$\dotfill\\\\ csc(\theta)\implies \cfrac{\stackrel{hypotenuse}{5}}{\underset{opposite}{-\sqrt{21}}}\implies \stackrel{\textit{rationalizing the denominator}}{-\cfrac{5}{\sqrt{21}}\cdot \cfrac{\sqrt{21}}{\sqrt{21}}\implies -\cfrac{5\sqrt{21}}{21}} \\\\\\ tan(\theta)=\cfrac{\stackrel{opposite}{-\sqrt{21}}}{\underset{adjacent}{-2}}\implies tan(\theta)=\cfrac{\sqrt{21}}{2}$

4 0

2 years ago

you go to a restaurant and spent 36.43 on food. if you give the waitress an 18% tip how much money would you get the waitress bi

kenny6666 [7]

Answer:

$43.03

Step-by-step explanation:

18% of $36.43 = $6.60 (6.5574)

$6.60 + $36.43 (price of food without tip)

$6.60 + $36.43 = $43.03

7 0

3 years ago

The product of x and y increased by 2

nataly862011 [7]

Answer:

x*y+2

Step-by-step explanation:

6 0

2 years ago

A travel agency books holiday tours to Italy, Greece, and other countries in Europe. A supervisor notes that the probability tha

lutik1710 [3]

P(Greece) =0.28 among tem P(G∩I) = 0.11. We also know tat
P(G ∪ I ) =1 [either Greece or Italy or both= all travelers)
The only data that is missing is te P(Italy)
P(G ∪ I ) = P(G) + P(I) - P(G∩ I)
1 =0.28 + P(I) so P(I) = 0.72
P(G) = 0.28 (including the 0 .11)
P(I) = 0.72 (including the 0.11)
P(G and I) =0.11

3 0

3 years ago

Read 2 more answers

Compare the triangles and determine whether they can be proven congruent by SSS, SAS, ASA, AAS, or HL. If not, type "NONE".

EleoNora [17]

Answer: HL

Step-by-step explanation:

The hypotenuse is actually a shared side of the two triangles. (The line segment that crosses the middle of the rectangle) The hypotenuse is the side of a triangle opposite the 90 degree angle. We can use this for hypotenuse congruency. The diagram also shows the shorter legs of the two triangles are congruent. (The legs refer to the sides that make the 90 degree angle)

So we have hypotenuse congruency and leg congruency.

=HL

6 0

2 years ago