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olga_2 [115]
3 years ago
10

Q1 Two points A (-2, 9) and B (4, 8) lie on a line l. (i) Find the slope of the line l. (ii) Find the coordinates of the midpoin

t of the points A and B (iii) Find the distance between points A and B.
Mathematics
1 answer:
lbvjy [14]3 years ago
3 0

Answer:

Slope: -1/6

Midpoint of AB: (1, 8.5)

Distance of AB: √37

Step-by-step explanation:

Slope formula: m = \frac{y2-y1}{x2-x1}

Midpoint formula: (\frac{x1+x2}{2} ,\frac{y1+y2}{2} )

Distance formula: d = \sqrt{(x2-x1)^{2}+(y2-y1)^{2}}

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4. What kind of triangle is made by connecting the points A(0, –6), B(3, –6), and C(3, –2)?
Firdavs [7]

Answer:

Part 4) Right triangle

Part 5) Kite

Step-by-step explanation:

Part 4) What kind of triangle is made by connecting the points A(0, –6), B(3, –6), and C(3, –2)?

Using a graphing tool    

see the attached figure N 1

The triangle of the figure is not equilateral------> The triangle does not have three equal sides

The triangle of the figure is a right triangle------>The triangle  has an angle of 90\°

The triangle of the figure is not isosceles------> The triangle does not have two equal sides

The triangle of the figure is not a right and isosceles

Part 5) What type of quadrilateral is formed by connecting the points (0, 9), (3, 6), (0, 1), and (-3, 6)?                

Using a graphing tool    

see the attached figure N 2        

The figure is not a rhombus------> All sides are not congruent  

The figure is not a trapezoid-----> has not parallel sides

The figure is a kite------> Two disjoint pairs of consecutive sides are congruent and the diagonals meet at a right angle



6 0
3 years ago
14. Find the coordinates of the circumcenter for ∆DEF with coordinates D(1,1) E (7,1) and F(1,5). Show your work.
Bess [88]
Hello : 
 the  <span>coordinates </span> circumcenter for ∆DEF : 
x = (1+7+1)/3
y = (1+1+5//3
x=3
y= 7/3
6 0
3 years ago
What value of y makes the statement true? -6(y+15)=-3+6
Nitella [24]
I think Yes it is true
7 0
3 years ago
If someone could please help me, I want to make sure that the steps are correct.
Leya [2.2K]
Your answer would be the last option, c = √(E/m).

We can see this when we rearrange the equation, as:

E = mc²
÷ m
E/m = c²
√
√(E/m) = c

So you got all the steps in rearranging correct :)


I hope this helps!
7 0
3 years ago
The weight of meteorite A is 5 times the weight of meteorite B. If the sum of their weights is 132 tons, find the weight of each
sladkih [1.3K]

Answer:

A: 105.6 B: 26.40

Step-by-step explanation:

if you divide 132 by 5, you get Meteorite B, 26.40, then minus that from 132, and you get Meteorite A, 105.6.

To check, do 26.40x5 and you should get 132.

3 0
3 years ago
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