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nignag [31]
3 years ago
6

Find the distance between the points given. (-3, 2) and (9, -3)

Mathematics
1 answer:
g100num [7]3 years ago
8 0
The distance will be given by the equation;
D=\sqrt{( x_{1} - x_{2} )^{2} +( y_{1} - y_{2} )^{2}   }
D=\sqrt{ (-3-9)^{2}+( 2--3)^{2}  }
D=\sqrt{ (-12)^{2} + (5)^{2} }
D=\sqrt{169}
D=13 units
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Question 5(Multiple Choice Worth 4 points)
Trava [24]

Answer: it is -1

Step-by-step explanation: rate of change can be defined as Δy/Δx, or the change in y over the change in c (commonly referred to as rise over run). By looking at the numbers we can see that the relationship modeled is linear (has a constant rate of change), so we are able to use this formula to calculate its rate of change. Simply calculate the change between any two values of y and (the associated) values of x and divide them to obtain your solution. I’m not the best at explaining math in words so here is the solution represented symbolically:

Rate of change = Δy/Δx

Δy/Δx = (y2-y1)/(x2-x1)

(y2-y1)/(x2-x1) = (1 - (-2))/(2 - 5) //the selected values for y2,y1,x2, and x1 are the last and first values for each, respectively.

3/-3 = -1

4 0
3 years ago
A stunt driver wants to make his car jump over 8 cars parked side by side below a horizontal ramp. The vertical height of the ra
mr Goodwill [35]

Answer:

v=26.41 m/s

Step-by-step explanation:

From the Newtons laws of motions, we sew that x= (2v₁²sin∅os∅)/g where x is the horizontal distance v is the initial speed and ∅ is the launch angle.

From trigonometry we see that 2 sin∅cos∅=sin 2∅

Therefore,  x=(v²sin2∅)/g

x=22m

∅=9°

g=9.8m/s²

22m=v²×sin(2×9)/(9.8m/s²)

v²=(22×9.8)/(sin 18)

v²=697.696

v=√697.696

v=26.41 m/s

3 0
4 years ago
If the dimensions of a rectangular prism are 39 mm × 12 mm × 15 mm, then what is the surface area
grin007 [14]

Answer:

\huge\boxed{SA=2466\ (mm^2)}

Step-by-step explanation:

The formula of a Surface Area of a rectangular prisms:

SA=2(lw+lh+wh)

<em>l</em><em> - length</em>

<em>w</em><em> - width</em>

<em>h</em><em> - height</em>

<em />

We have:

l=39mm;\ w=12mm;\ h=15mm

Substitute:

SA=2\bigg((39)(12)+(39)(15)+(12)(15)\bigg)\\\\SA=2(468+585+180)\\\\SA=2(1233)\\\\SA=2466\ (mm^2)

5 0
3 years ago
I NEED HELP!!!!!!!!!
ANEK [815]

Answer:

the number --4

Step-by-step explanation:

-7--4=-3

-3--4=1

1--4=5

5--4=9

3 0
3 years ago
At the school carnival, Jade has a games booth with a spinner. The banner at her booth reads "60% chance of winning!" What is th
Sergeu [11.5K]
Bc there ia a 60% chance of winning so the chance of not winning is 100%-60%= 40%. 
3 0
3 years ago
Read 2 more answers
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