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Likurg_2 [28]
3 years ago
14

The distance between two points is 10 units, if the coordinates of one of the endpoints are (4, -7), find x if the coordinates o

f the other endpoint are (x, 1).​
Mathematics
1 answer:
PIT_PIT [208]3 years ago
8 0

Answer:

10

Step-by-step explanation:

let the distance = d

d² = (x2-x1)² + (y2-y1)²

=>

10²= (x-4)²+(1+7)²

100 = (x-4)²+64

(x-4)²=100-64

= 36

x-4 = √36

x-4=6

x= 6+4

x= 10

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The area of a rectangle is 20 square inches. If the length is 4 inches less than 6 times the width, then find the dimensions of
Tpy6a [65]

Step-by-step explanation:

Let the width=x

Length =6x-4

As we know that in a rectangle

{\boxed{\sf Area=LB}}

  • Substitute the values

\hookrightarrow\sf x (6x-4)=20

\hookrightarrow\sf 6x^2-4x=20

\hookrightarrow\sf 6x^2-4x-20=0

  • Here a=6, b=-4, c=-20.
  • use quadratic formula

\hookrightarrow\sf x=\dfrac {1}{3}+\dfrac {1}{3}\sqrt {31} \quad or \quad \dfrac {1}{3}+\dfrac {-1}{3}\sqrt {31}

8 0
2 years ago
What isn't the bets approximation for the area of this circle labeled 8 inches use3.14 to approximate pi
Arte-miy333 [17]

Answer:

50.272  in^2

Step-by-step explanation:

Step one:

Given data

Circles are described using the diameter parameter

Diameter of the circle is 8 inches

radius = 4 inche= d/2

Step two:

The area of the circle is

A= πr^2

A= 3.142*4^2

A=3.142*16

A=50.272  in^2

8 0
3 years ago
laura's family is going on a vacation. they will drive 4,180 miles over the next two weeks. about how many miles will they drive
gizmo_the_mogwai [7]

Answer:

l auras family will drive 2090 miles watch week because you decide by 2 because there are 2 weeks

5 0
2 years ago
Carson is selling lemonade. The number of cups of lemonade he sells
Sloan [31]

Answer:

none

Step-by-step explanation:

i dont know

5 0
3 years ago
Complete the square to transform the quadratic equation into the form (x – p)2 = q.
ryzh [129]

The transformed equation is:

(x-3)^2 = 23

Step-by-step explanation:

We have to convert the equation in the form

(x-p)^2 = q

Given equation is:

x^2-6x-8 = 6

Adding 8 on both sides

x^2-6x-8+8 = 6+8\\x^2-6x = 14

In the given equation

a = x

b= ?

So,

2.x.b = 6x\\b =\frac{6x}{2x}\\b = 3\\

So 3^2 will be added on both sides

(x)^2-6x+ (3) = 14+ (3)^2\\(x-3)^2 = 14+9\\(x-3)^2 = 23

Hence,

The transformed equation is:

(x-3)^2 = 23

Keywords: Quadratic equation, transformation

Learn more about quadratic equation at:

  • brainly.com/question/5248692
  • brainly.com/question/5223123

#LearnwithBrainly

7 0
3 years ago
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