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sweet [91]
2 years ago
15

Find slope of (-5, 2) and (7,6)

Mathematics
1 answer:
marshall27 [118]2 years ago
3 0

Answer:

1/3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-2)/(7-(-5))

m=4/(7+5)

m=4/12

simplify

m=1/3

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Find the exact value of sin (arccos (3/5)). For full credit, explain your reasoning.
zloy xaker [14]
The equation for cosine is <span><span><span>cos<span>(x)</span></span>=<span>Adjacent/Hypotenuse
</span></span></span>The inside trig function is <span><span>arccos<span>(<span>3/5</span>)</span></span></span>, which means <span><span><span>cos<span>(x)</span></span>=<span>3/5</span></span></span>. Comparing <span><span><span>cos<span>(x)</span></span>=<span>Adjacent/Hypotenuse</span></span></span> with <span><span><span>cos<span>(x)</span></span>=<span>3/5
</span></span></span>
Find <span><span>Adjacent=3</span></span> and <span><span>Hypotenuse=5.
</span></span>Then, using the Pythagorean theorem, find <span><span>Opposite=?
</span></span>a² = c² - b²
a² = 5² - 3² = 25 - 9 = 16
a = √16 = 4

<span><span>Adjacent=3</span></span><span><span>Opposite=4</span></span><span><span>Hypotenuse=5
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Plug in the value for sin(x) = opposite/hypotenuse

sin(x) = 4/5 </span>
6 0
3 years ago
Line n intersects lines 1 and m, forming the angles shown in the diagram below.
bija089 [108]

Answer:

B. 4.5

Step-by-step explanation:

(6x + 42)° and (18x - 12)° are alternate interior angles. If line l is parallel to line m, therefore,

6x + 42 = 18x - 12

Solve for the value of x. Combine like terms.

6x - 18x = -42 - 12

-12x = -54

Divide both sides by -12

-12x/-12 = -54/-12

x = 4.5

Therefore, x = 4.5 would prove lines l and m are parallel to each other.

7 0
2 years ago
Select the correct answer.<br> Which statement describes the solutions of this equation? x/x+2+1/x=1
hram777 [196]
Your answer is gonna be b I just know
4 0
2 years ago
-6y + 15 = -21<br><br>help me out please​
AleksandrR [38]

Answer:

y=6

Step-by-step explanation:

-6y+15=-21

-6y=-21-15 (it becomes negative on this side.)

-6y=-36 (divide both sides by -6.)

y=6

8 0
3 years ago
Read 2 more answers
Square root of both sides of (x + 9)2 = 25?
anygoal [31]

Answer: C x+9 = 5

Step-by-step explanation:

6 0
2 years ago
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