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3 years ago

What is the distance between ( -3, -4) and ( 6, -4) on the coordinate plane

Mathematics

1 answer:

valkas [14]3 years ago

7 0

Answer:

The distance between (-3, -4) and (6, -4) is 9 units.

Step-by-step explanation:

First, we must know the distance formula between two points.

$Distance(d)=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We will use (-3, -4) for (x₁, y₁) and we will use (6, -4) for (x₂, y₂).

$Distance=\sqrt{(6-(-3)^2+(-4-(-4))^2)}$

$Distance=\sqrt{(9)^2+(0)^2}$

$Distance=\sqrt{81+0}$

$Distance=9$

So, the distance between the two points is 9 units.

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. Find their present ages. 6 years ago a man's age was six times the age of his son. 4 years hence, thrice his age will be equal

ddd [48]

<u>The present age of the man is 36 years and his son is 11 years.</u>

Answer:

Solution given:

let the age of man be x.

and his son be y.

By question

x-6=6(y-6)

x=6y-36+6

x=6y-30. ......(1)

and

3(x+4)=8(y+4)

3x+12=8y+32

3x=8y+32-12

3x=8y+20. ...(2)

substituting value of x in equation 2 ,we get

3(6y-30)=8y+20

18y-90=8y+20

18y-8y=90+20

10y=110

y=110/10

y=11 years

again substituting value of y in equation 1 we get

x=6*11-30

x=66-30

x=36 years

5 0

2 years ago

What is the factored form of the expression?<br><br> d^2 = 36d + 324

Veseljchak [2.6K]

Answer:

$(x-43.45)(x+7.45)=0$

Step-by-step explanation:

We have the quadratic equation $d^{2}=36d+324$ i.e. $d^{2}-36d-324=0$

As, the roots of the quadratic equation $ax^{2}+bx+c=0$ are given by $x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$ .

So, from the given equation, we have,

a = 1, b = -36 , c = -324.

Substituting the values in $x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$ , we get,

$x=\frac{36\pm \sqrt{(-36)^{2}-4\times 1\times (-324)}}{2\times 1}$

i.e. $x=\frac{36\pm \sqrt{1296+1296}}{2}$

i.e. $x=\frac{36\pm \sqrt{2592}}{2}$

i.e. $x=\frac{36\pm 50.9}{2}$

i.e. $x=\frac{36+50.9}{2}$ and $x=\frac{36-50.9}{2}$

i.e. $x=\frac{86.9}{2}$ and $x=\frac{-14.9}{2}$

i.e. x = 43.45 and x = -7.45

Thus, the roots of the equation are 43.45 and -7.45.

Hence, the factored form of the given expression will be $(x-43.45)(x+7.45)=0$

3 0

3 years ago

Angie has a collection of 145 stuffed animals. She gave 48 to her

Alekssandra [29.7K]

Angie will now have 100 stuffed animals

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3 years ago

What is the credit-to-debit ratio on the handy hardware credit card?

olga nikolaevna [1]

The debt-to-credit ratio of a credit account is the ratio of the balance to the credit limit:

... balance/credit limit = 245.78/3500 = 0.07022... ≈ 7.02%

The appropriate choice is ...

... A.) 7.02%

7 0

3 years ago

john spent half of his weekly allowance at the batting cages. to earn more money his parents let him vacuum the house for $6. wh

KATRIN_1 [288]

Answer:

$28

Step-by-step explanation:

First to solve this get the original amount before his parents gave him $6

20-6=14

So he had $14 after spending it at the batting cages.

It is stated he spent half of his money there so multiply 14 by 2

14 x 2=28

So he has a weekly allowance of $28

4 0

3 years ago