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jek_recluse [69]
2 years ago
11

Slope of (-11,5) (-8,4)

Mathematics
1 answer:
nika2105 [10]2 years ago
6 0
Slope is equal to the change in y over change in x, or rose over run m= 1/3
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Natalie is paid $2 more per hour than Travis when Natalie works for 40 hours and Travis works for 35 hours they aren't $755 betw
kari74 [83]
Travis earns 9 dollars per hour and Natalie earns 11 dollars per hour
4 0
3 years ago
Round to the nearest whole number: 123.45
koban [17]

Answer:

123

Step-by-step explanation:

because if its lower than 50 you round down, if its 50 or above you round up

8 0
3 years ago
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Find the values of x and y. Pls helpI’m helpless at math
Svetradugi [14.3K]

Answer:

  • x = 1
  • y=\frac{\sqrt{3}}{2}  

Step-by-step explanation:

From the given right-angle triangle

The angle = ∠60°

  • The adjacent to the angle ∠60° is 1/2.
  • The opposite to the angle ∠60° is y.

The hypotenuse = x

<u>Determining the value of x:</u>

Using the trigonometric ratio

cos 60° = adjacent / hypotenuse

substituting adjacent = 1/2 and hypotenuse = x

cos\:60^{\circ }=\:\:\frac{\frac{1}{2}}{x}

\cos \left(60^{\circ \:}\right)=\frac{1}{2x}

\frac{1}{2}=\frac{1}{2x}          ∵ cos (60°) = 1/2

2x=2

Dividing both sides by 2

\frac{2x}{2}=\frac{2}{2}

Simplify

x=1

Thus, the value of hypotenuse x is:

x = 1

<u>Determining the value of y:</u>

Using the trigonometric ratio

sin 60° = opposite / hypotenuse

As we have already determined the value of hypotenuse x = 1

substituting opposite = y and hypotenuse = 1

sin 60° = y/1

y = 1 × sin 60°

y=\frac{\sqrt{3}}{2}       ∵  \sin \left(60^{\circ \:}\right)=\frac{\sqrt{3}}{2}

Therefore, the value of y is:

y=\frac{\sqrt{3}}{2}      

Summary:

  • x = 1
  • y=\frac{\sqrt{3}}{2}    
5 0
2 years ago
By using the remainder theorem, determine the remainder when
Greeley [361]

Answer:

-123

Step-by-step explanation:

The remainder theorem says that when a polynomial is divided by a linear factor x - c (note the minus sign), the remainder is the value of the polynomial at x = c.

When a polynomial P(x) is divided by x - c, the remainder is P(c).  In other words, to find the remainder, plug in c for x.

You're dividing by x + 4 which is the same thing as x - (-4) -- the role of c is being played by -4.

3(–4)^3 – (–4)^2 – 20(–4) + 5 = –123

3 0
2 years ago
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What is the solution set to the inequality 5(x – 2)(x + 4) &gt; 0
Fittoniya [83]
<span>5(x – 2)(x + 4) > 0
  (5x-10)(x+4)>0
   6x -6  > 0 
        +6  +6
       6x >
</span>x<-4 or x>2
7 0
2 years ago
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