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kramer
3 years ago
9

Given triangle ABC with vertices A(16,0), B(9,2), and C(2,0).

Mathematics
1 answer:
Margaret [11]3 years ago
4 0
Given:

Triangle Point coordinates or vertices:
A(16,0)
B(9,2)
C(2,0)

Required:

Side with slope -2/7

Solution:

To know which side has the slope required, we need to calculate the slope of each paired point by the two-point slope formula:

m = (y2-y1)/(x2-x1)

We first try points A and B.

m1 = (2-0)/(9-16)

m1 = -2/7

Thus, the side with the slope -2/7 is side AB.
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Equation of a straight line (see attached)
Viefleur [7K]

Answer:

y = 2x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = A(4, 7) and (x₂, y₂ ) = B(2,3)

m = \frac{3-7}{2-4} = \frac{-4}{-2} = 2 , thus

y = 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 3), then

3 = 4 + c ⇒ c = 3 - 4 = - 1

y = 2x - 1 ← equation of line

8 0
3 years ago
Read 2 more answers
What is the place value for 3 in 318,472,008
VikaD [51]
Salutations!

What is the place value for 318,472,008

The number 3 is in the place as hundred million.

In the numeric form, we can write the number as ------

300, 000, 000.

Hope I helped.
6 0
3 years ago
PLZ HELP BRAINLIEST THANKS AND 20 POINTS ADDED
schepotkina [342]
Circumference=diameter times pi
diameter=12
circumference=12 times pi
we use pi=3.14
circumfernce=12 times 3.14
circumference=37.68 ft
round to tenth
8 is greater than 5 so roundup
37.7ft
3 0
3 years ago
Read 2 more answers
if we increased one side of a square by 5 units and decreased the other by 3 units the area of the resulting rectangle would be
zvonat [6]

Answer:

18 units

Step-by-step explanation:

So let's list out the sides.

for the first square let's just call them x

for the second square then they would be x+5 and x-3

So let's write out their areas we will cal the area of the first one z

x*x = z

(x+5)*(x-3) = z+21

since z = x^2 we can set up the second equation as a quadratic.

(x+5)*(x-3) = x^2 + 21

x^2 - 3x + 5x - 15 = x^2 + 21

But look, the x^2s cancel out

2x - 15 = 21

2x = 36

x = 18

Test it out and see if it fits the description, And if you don't understand anything just let me know so I can explain more.  

3 0
3 years ago
How do you round 243.876 to the nearest tenth, hundredth, ten and thousands
kompoz [17]
Nearest tenth 243.9
nearest hundredth 243.88
nearest thousand 243.876
nearest ten 244
6 0
3 years ago
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