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UNO [17]
3 years ago
11

What is the distance between the points (-4,-8) and (10,-8)?

Mathematics
1 answer:
ioda3 years ago
7 0

Answer: 14

Step-by-step explanation:

Input Data :

Point 1  ( x A , y A )  = (-4, -8)

Point 2  ( x B , y B )  = (10, -8)

Objective :

Find the distance between two given points on a line?

Formula :

Distance between two points =  √ (x B − x A ) 2 + ( y B − y A ) 2

Solution :

Distance between two points =  √ ( 10 −  − 4 ) 2 + ( − 8 −  − 8 ) 2

=  √ 14 ^2 + 0 ^2

=  √ 196 + 0

=  √ 196 = 14

Distance between points (-4, -8) and (10, -8) is 14

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The equation for a parabola has the form y = ax^2 + bz + c, where a, b, and c are constants and aメ0. Find an equation for the pa
vova2212 [387]

Answer:

a = 2, b = -9, c = 3

Step-by-step explanation:

Replacing x, y values of the points in the equation y = a*x^2 + b*x +c give the following:  

(-1,14)

14 = a*(-1)^2 + b*(-1) + c  

(2,-7)

-7 = a*2^2 + b*2 + c  

(5, 8)  

8 = a*5^2 + b*5 + c  

Rearranging:

a - b + c = 14  

4*a + 2*b + c = -7

25*a + 5*b + c = 8

This is a linear system of equations with 3 equations and 3 unknows. In matrix notation the system is A*x = b whith:

A =

1    -1  1

4    2  1

25  5  1

x =

a  

b

c

b =

14

-7

8

Solving A*x = b gives x = Inv(A)*b, where Inv(A) is the inverse matrix of A. From calculation software (I used Excel) you get:

inv(A) =  

0.055555556 -0.111111111   0.055555556

-0.388888889 0.444444444   -0.055555556

0.555555556 0.555555556 -0.111111111

inv(A)*b

2

-9

3

So, a = 2, b = -9, c = 3

5 0
3 years ago
I need to find angle M
nadezda [96]

Answer:

m<AIR = 90 deg

Step-by-step explanation:

I assume the problem contains an error, and that AR is a diameter, not AC.

Look at the diameter of the circle, AR. It passes through the center of the circle, C. You can think of the two radii of the circle, CR and CA, as sides of angle RCA. Since AR is a diameter, and AR is a segment which is part of line AR, rays CR and CA are sides of an angle that lie on a line. That makes the measure of angle RCA 180 deg. Angle RCA is a central angle of circle C since its vertex is the center of the circle.

Angle AIR is an inscribed angle in circle C since its vertex is on the circle itself. If an inscribed angle and a central angle intercept the circle at the same two points, then the measure of the inscribed angle is half the measure of the central angle.

m<AIR = (1/2)m<RCA = (1/2) * 180 = 90

m<AIR = 90 deg

7 0
3 years ago
Applying properties to write equivalent expressions for 2x+5y+5(2x+5y)
levacccp [35]

Solving expression 2x+5y+5(2x+5y) we get 12x+30y

Step-by-step explanation:

We need to solve the expression:

2x+5y+5(2x+5y)

Solving:

Multiplying 5 with terms inside the bracket:

2x+5y+5(2x+5y)\\=2x+5y+10x+25y\\Combining\,\,like\,\,terms:\\=2x+10x+5y+25y\\=12x+30y

So, Solving expression 2x+5y+5(2x+5y) we get 12x+30y

Keywords: Solving Expressions

Learn more about Solving Expressions at:

  • brainly.com/question/11207748
  • brainly.com/question/2154850
  • brainly.com/question/4279146

#learnwithBrainly

7 0
3 years ago
How many tens do you need to get too 805
Goryan [66]
The answer is 80.5 ... 805 / 5 
7 0
3 years ago
Read 2 more answers
Georgia works at the frozen yogurt shop. She is able to scoop frozen yogurt into perfectly round scoops tha
Ronch [10]

Answer:

My answers:

1. p = 0.20 × 100 × k

4. y = 1.25x + 3; $8.00

Step-by-step explanation:

your welcome

8 0
2 years ago
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