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Klio2033 [76]
3 years ago
13

Whats the slope of 0, -2 and -4,0?​

Mathematics
1 answer:
Yakvenalex [24]3 years ago
7 0

Answer:

Slope (m) =  ΔY  ΔX  =  1  -2  = -0.5

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To one-one functions g and h are defined as follows.
Andreyy89

Answer:

  • 9
  • (x-8)/3
  • -1

Step-by-step explanation:

The inverse function for a set of ordered pairs can be found by swapping the x- and y-coordinates in each pair.

  g^{-1}(-1)=9\qquad\text{from the $g(x)$ ordered pair $(9, -1)$}

__

The inverse of a function expressed algebraically can be found by swapping the x- and y-variables and solving for y.

  h^{-1}(x)\qquad\text{is found from }x=h(y)\\\\x=3y+8\\x-8=3y\\\\y=\dfrac{x-8}{3}\\\\\boxed{h^{-1}(x)=\dfrac{x-8}{3}}

A function of its own inverse returns the original value:

  \boxed{\left(h\circ h^{-1}\right)(-1)=-1}

6 0
3 years ago
Find the area of each sector <br><br><br><br>3m <br>150°​
Oksanka [162]

Answer:

\frac{150}{360}  \times \pi \times {3}^{2}  \\ 2.4 \times \pi \times 9 = 11.780 {m}^{2}

7 0
3 years ago
What is the outlier of 29, 2, 28, 30, 26, 31
Vladimir [108]

Answer:

2

Step-by-step explanation:

Given the data : 29, 2, 28, 30, 26, 31

Outlier ;

Lower :Q1 - (1.5 * IQR)

Upper : Q3 + (1.5 * IQR)

Q1 = Lower quartile ; Q3 = upper quartile ; IQR = Interquartile range

Using calculator :

Q1 = 26

Q3 = 30

IQR = (Q3 - Q1) = 30 - 26 = 4

Lower : 26 - (1.5 * 4) = 20

Upper : 30 + (1.5 * 4) = 36

Hence, the number in the given data which falls outside the range is 2

4 0
3 years ago
Prove theorems about triangles
Aleks04 [339]
  • Answer & step-by-step explanation:

<em>a) impossible</em>

<em>b)  the sum of the angles in a triangle is 180°</em>

<em>63° + 59° + 57° = 179°</em>

3 0
3 years ago
Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth. −6y2 − 9y = −1
Tomtit [17]
-6y^2 - 9y = -1

y= \dfrac{-9+ \sqrt{9^2-4*-6} }{2*6}, \dfrac{-9-\sqrt{9^2-4*-6}}{2*6}


y=  \dfrac{-9+ \sqrt{105} }{12}, \dfrac{-9- \sqrt{105} }{12}
8 0
3 years ago
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