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Talja [164]
2 years ago
14

Lydia graphed ADEF at the coordinates D (-2,-1), E (-2, 2), and F (0,0). She thinks ADEF is a right triangle. Is Lydia's asserti

on correct?
A) Yes, the slopes of EF and DF are opposite reciprocals.
B) Yes, the slopes of EF and DF are the same.
C) No, the slopes of EF and DF are not opposite reciprocals.
D) No, the slopes of EF and DF are not the same.​
Mathematics
2 answers:
Setler79 [48]2 years ago
7 0

The true statement is (c) No; the slopes of segment EF and segment DF are not opposite reciprocals.

<h3>Right triangles </h3>

Right triangles have a pair of perpendicular lines

Coordinates

The coordinates are given as:

  • D = (-2,-1)
  • E = (-2,2)
  • F = (0,0)

<h3>Slopes</h3>

Start by calculating the slopes of lines DF and EF using:

m = \frac{y_2 -y_1}{x_2 -x_1}

So, we have:

m_{DF} = \frac{0 + 1}{0 +2}

m_{DF} = \frac{1}{2}

Also, we have:

m_{EF} = \frac{0 -2 }{0+2}

m_{EF} = \frac{-2 }{2}

m_{EF} = -1

For the triangle to be a right triangle, then the calculated slopes must be opposite reciprocals.

i.e.

m_1 = -\frac{1}{m_2}

By comparison, the slopes of both lines are not opposite reciprocals.

Hence, the true statement is (c)

Read more about right triangles at:

brainly.com/question/17972372

Butoxors [25]2 years ago
7 0

Answer:

c

Step-by-step explanation:

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Answer:

Kindly check explanation

Step-by-step explanation:

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This conclusion means that pregnant women who drink have a higher likelihood of giving birth to a child with attention problem than pregnant women who do not drink. Hence, the fact that someone who drank gave birth to a perfectly healthy child does not discredit or annull Dr. Jones study.

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2 years ago
At what point on the graph of y=1/4x^4 is the tangent line parallel to the line 24x -3y=8
Rama09 [41]

Answer:

a) dy/dx = 4/(2y+1)^2.

(b) y = 4/9 x - 14/9

(c) d2y/dx2 = -64/243

Step-by-step explanation:

You have the following equation

  (1)

(a) You first derivative implicitly the equation (1) respect to x:

next, you solve the last result for dy/dx:

(2)

(b) The equation for the tangent line is given by:

   (3)

with yo = -2 and xo = -1

To find the slope m you use the result of the equation (2), because dy/dx evaluated in (-1,-2) is the slope at such point:

m =

Hence, by replacing in the equation (3) you obtain:

hence, the equation for the tangent line is y = 4/9 x - 14/9

(c) To find d2y/dx2 you derivative the result obtain in the equation (2):

    (4)

the second derivative for the point (-1,-2) is obtained by replacing y=-2 and dy/dx=m=4/9 in the equation (4):

hence, d2y/dx2 evaluated in (-1,-2) is -64/243

Step-by-step explanation:

3 0
3 years ago
5.37 + x =12.89 explanation please it’s two step equation
Wewaii [24]

Answer:

7.52

Step-by-step explanation:

5.37 + x = 12.89

In order to solve this equation, we must isolate the variable, x.

1.) To do this, subtract 5.37 on both sides of the equation.

5.37 + x = 12.89

-5.37         -5.37

x = 7.52

Therefore, x = 7.52

6 0
2 years ago
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What is 7/12 as a decimal<br><br> Please help ASAP
svlad2 [7]

Answer:

\frac{7}{12} = 0.583333333...

Step-by-step explanation:

To write \frac{7}{12} as a decimal.

Decimal defined as the number with a decimal point in it.

also, the decimal  point separates part of whole number and the fractional part in the decimal numbers.

To turn this fraction into a decimal number,

all you have to do is to divide the top number by bottom number i.e

\frac{7}{12} = 7 \div 12

\frac{7}{12} = 0.583333333...

Therefore, 7/12 as a decimal is, 0.583333333....

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3 years ago
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frez [133]

Answer:

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