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Naya [18.7K]
3 years ago
10

To see if the slopes are the same, write an equation setting the two fractions equal to each other. Is this equation true? Why o

r why not? What does that mean about the slope between points E and A and the slope between the points A and C?

Mathematics
1 answer:
RoseWind [281]3 years ago
7 0

Answer:

Slope(EA)=Slope(AC)=\dfrac{2}{3}....Equation is True

Slopes are EQUAL for

  1. SAME Line

Hence, E-A-C is the same Line.

Step-by-step explanation:

Given:

The three points for the given line are

point E( x₁ , y₁) ≡ ( -6 ,-4)

point A( x₂ , y₂) ≡ (0 , 0) .....Origin

point C(x₃ , y₃ ) ≡ (3 ,  2)

To Find:

Slope EA = ?

Slope AC = ?

Solution:

For Two point Slope is given as

Slope=\dfrac{y_{2}-y_{1} }{x_{2}-x_{1} }

Substituting the values we get

Slope(EA)=\dfrac{0--4}{0--6}=\dfrac{4}{6}=\dfrac{2}{3}

Similarly For AC we have,

Slope(AC)=\dfrac{2-0}{3-0}=\dfrac{2}{3}

Therefore,

Slope(EA)=Slope(AC)....Equation is True

Slopes are EQUAL for

  1. Line is Parallel
  2. SAME Line

Hence, E-A-C is the same Line.

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Complete the square for 5x^2 – 30x = 5.
Yuri [45]
First, subtract 5 from both sides, leaving you with 5x^{2} - 30x - 5 = 0
If you use the quadratic formula (a=5), (b=-30), (c=-5)

x=-b +/- √b²-4ac / 2a

x= -(30) +/- √(30)² - 4(5) * (-5) / 2(5)

x= 30 +/- √1000 / 10

x = 3 +/- √10
7 0
3 years ago
Does anyone how to solve this sum? It’s urgent
Galina-37 [17]

The required value for the sum is 9580.


\frac{10000}{(1+\frac{0.115}{4})^2}+68\frac{1-\frac{1}{(1+\frac{0.115}{4})^2}}{\frac{0.115}{4}}

<h3>What is simplification?</h3>

Simplification in mathematics to solve the given condition on its operators.


\frac{10000}{(1+\frac{0.115}{4})^2}+68\frac{1-\frac{1}{(1+\frac{0.115}{4})^2}}{\frac{0.115}{4}}

= \frac{10000}{1.028^2} +68*\frac{1-\frac{1}{1.028^2} }{\frac{0.115}{4} } \\9451+68*\frac{1-0.94}{\frac{0.115}{4} } \\\\9451+68*\frac{0.054}{\frac{0.115}{4} } \\\\\\9451+3.72{\frac{4}{0.115} } \\\\\\9451+129\\

= 9580


The required solution is given as 9580.

Learn more about simplification here:
brainly.com/question/9218183

#SPJ1

4 0
2 years ago
In the figure CD is the perpendicular bisector of AB . If the length of AC is 2x and the length of BC is 3x - 5 . The value of x
Dennis_Churaev [7]

Answer

Find out the value of x .

To proof

SAS congurence property

In this property two sides and one angle of the two triangles are equal.

in the Δ ADC and ΔBDC

(1) CD = CD (common side of both the triangle)

(2) ∠CDA = ∠ CDB = 90 °

( ∠CDA +∠ CDB = 180 ° (Linear pair)

as given in the diagram

∠CDA  = 90°

∠ CDB = 180 ° - 90°

∠ CDB = 90°)

(3) AD = DB (as shown in the diagram)

Δ ADC ≅ ΔBDC

by using the SAS congurence property .

AC = BC

(Corresponding sides of the congurent triangle)

As given

the length of AC is 2x and the length of BC is 3x - 5 .

2x = 3x - 5

3x -2x =5

x = 5

The value of x is 5 .

Hence proved


7 0
3 years ago
Read 2 more answers
What is each measure of the rhombus?
Elodia [21]
A. 15
b. 26

d. 41
e. 82
f. 98

h. 49
5 0
2 years ago
I need help with this
VikaD [51]
This should help just try to use this

4 0
3 years ago
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