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kicyunya [14]
3 years ago
13

Given the points A(0, 0), B(e, f), C(0, e) and D(f, 0), determine if line segments AB and CD are parallel, perpendicular or neit

her.
Mathematics
1 answer:
Virty [35]3 years ago
5 0

Answer:

Perpendicular

Step-by-step explanation:

Calculate the slopes m of the segments using the slope formula.

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

Parallel lines have equal slopes

The product of the slopes of perpendicular lines equals - 1

(x₁, y₁ ) = A(0, 0) and (x₂, y₂ ) = B(e, f)

m_{AB} = \frac{f-0}{e-0} = \frac{f}{e}

Repeat with (x₁, y₁ ) = C(0, e) and (x₂, y₂ ) = D(f, 0)

m_{CD} = \frac{0-e}{f-0} = - \frac{e}{f}

Thus AB and CD are perpendicular since \frac{f}{e} × - \frac{e}{f} = - 1

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Phoenix [80]
<h3>Answer:</h3>

D) 4 cm, 3 cm

<h3>Step-by-step explanation:</h3>

Let x represent the length of "another" side. Then "one side" can be represented by (2x -5 cm).

The perimeter of the kite is the sum of two sides of each length:

... P = 14 cm = 2(x) + 2(2x -5 cm)

Dividing by 2 and collecting terms, we have ...

... 7 cm = 3x -5 cm

... 12 cm = 3x

... 4 cm = x . . . . the length of "another" side

... 2(4 cm) -5 cm = 3 cm . . . . the length of "one side"

The two different side lengths are 4 cm and 3 cm.

7 0
3 years ago
33 points!!!!
lakkis [162]
I think it is 4 divided by 5 which equals 4/5 pieces of gum for everyone. (Hope I helped :D and hope I got it right ;D)
4 0
3 years ago
What is the right answer​
Airida [17]

Answer:

{y≥1

,{y-x>0

Step-by-step explanation:

First of all you have to consider the shaded region. It is bound by two lines.

The first line is a solid line that cuts the y-axis at +1. it's equation is y = 1. since the shade region is on the upper side where y values increase, the unequivocally will be y≥1. notice that the sign ≥ is due to the solid line which indicates points on the solid line are part of the solution.

the second line is the broken line. it passes through the origin (0,0) and (1,1) any two points can be taken. the gradient is 1. m= (y1-y2)/(x1-x2) = (0-1)/(0-1)=(-1/-1)= 1. the equation of a straight line is

y=mx + c where m is gradient and c is the VA)ue of y as the line crosses the y axis ( y-intercept) which in this case is 0 at (0,0).so the equation will be y=1(x) + 0

y=x if we subtract x from both sides we have

y-x=0

since the shaded region is on the upper side as y-x increases the in equality will be

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8 0
3 years ago
What is the inverse to "if i listen to this song, then it will get stuck in my head"
VikaD [51]

Answer:

The answer is: If I do not listen to this song, then it will not get stuck in my head.

3 0
2 years ago
F(x)=4x^2+3x+13<br><br> Find f(1)
Pani-rosa [81]

Answer:

f(1) = 42

Step-by-step explanation:

Step 1: Switch all x out to 1 for f(1) which would look like this: f(1)=4(1)^2+3(1)+13

Step 2: You would then simplify it starting with 4(1)^2 which would equal 4 squared which equals 16.

Step 3: After simplifying you would have f(1)=16+3+13

Step 4: You then just add and get 42

Hope this helped :D

7 0
3 years ago
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