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3 years ago

(-4, 6) and (3.-7) Find the distance between each pair of parts

Mathematics

2 answers:

Kamila [148]3 years ago

7 0

Answer:

The answer is

<h2> $\sqrt{218} \: \: or \: \: 14.76 \: \: \: units$ </h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-4, 6) and (3.-7)

The distance between them is

$d = \sqrt{ ({ - 4 - 3})^{2} + ({6 + 7})^{2} } \\ = \sqrt{ ({ - 7})^{2} + {13}^{2} } \\ = \sqrt{49 + 169} \\ = \sqrt{218} \: \: \: \: \: \: \: \: \: \: \\ = 14.764823$

We have the final answer as

$\sqrt{218} \: \: or \: \: 14.76 \: \: \: units$

Hope this helps you

Misha Larkins [42]3 years ago

4 0

Answer:

√218

Step-by-step explanation:

Distance-√(x2-x1)+(y2-y1)

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Find the percent of increase.<br> Original number: 45 books<br> New number: 63 books

BARSIC [14]

Answer:

Step-by-step explanation:

first you multiply 45 by .40 you multiply by .40 because that is the percent increase.

45*.40=18

then you just add the 18 to 45 which get you 63.

answer:40%

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3 years ago

Given the function ƒ(x ) = 3x + 1, evaluate ƒ(a + 1).

Setler79 [48]

Answer:

$\Huge \boxed{3a+4}$

Step-by-step explanation:

The function is given.

$f(x)=3x+1$

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The input for the function f(x) is (a + 1).

Replace x with (a + 1).

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$f(a+1)=3a+3+1$

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$f(a+1)=3a+4$

3 0

3 years ago

Review the steps of the proof of the identity

astraxan [27]

Answer:

step 2

and then step 3 : the error neutralized the error of step 2

Step-by-step explanation:

sin(a + b) = sin(a)cos(b) + cos(a)sin(b)

and because

sin(-b) = -sin(b)

cos(-b) = cos(b)

we have

sin(a - b) = sin(a)cos(-b) + cos(a)sin(-b) =

= sin(a)cos(b) - cos(a)sin(b)

3pi/2 = 270° or -90°.

sin(3pi/2) = sin(270) = sin(-90) = -1

that means, it is the full radius straight down from the center of the circle.

cos(3pi/2) = cos(270) = cos(-90) = cos(90) = 0

so, step 1 is correct :

sin(A - 3pi/2) = sin(A)cos(3pi/2) - cos(A)sin(3pi/2) =

= sin(A)×0 - cos(A)×(-1) (correct step 2)

but as we see, the provided step 2 is incorrect.

it should have been the indicated

sin(A)×0 - cos(A)×(-1)

and NOT the provided

sin(A)×0 + cos(A)×(-1)

step 3 based on the erroneous step 2 should then have been

sin(A)×0 - (1)cos(A)

but instead another error with the sign was made that neutralized the error of step 2 and we got after this second mistake by pure chance the overall correct step 3

sin(A)×0 + (1)cos(A)

so, again, the first error was made in step 2.

but technically, there was also a consecutive error made in step 3 to bring everything back to the correct approach.

4 0

2 years ago

Add.

Maru [420]

Answer:

4x^2 +3x -7

Step-by-step explanation:

(4x^2 – 2x) + (5x - 7)

Combine like terms

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8 0

2 years ago

Read 2 more answers

A fruit stand has to decide what to charge for their produce. They need \$10$10 for 44 apples and 44 oranges. They also need \$1

KatRina [158]

Answer:

<em>We can't find a unique price for an apple and an orange.</em>

Step-by-step explanation:

Suppose, the price of an apple is $x$ and the price of an orange is $y$

They need $10 for 4 apples and 4 oranges. So, the first equation will be.......

$4x+4y=10 ........................................(1)$

They also need $15 for 6 apples and 6 oranges. So, the second equation will be........

$6x+6y= 15 ........................................(2)$

Dividing equation (1) by 2 on both sides : $2x+2y= 5$

Dividing equation (2) by 3 on both sides : $2x+2y=5$

So, we can see that both equation (1) and (2) are actually same. That means, we will not get any unique solution for $x$ and $y$ here. Both $x$ and $y$ have <u>"infinitely many solutions"</u>.

Thus, we can't find a unique price for an apple and an orange.

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2 years ago