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Licemer1 [7]
3 years ago
7

Identify the ordered pair that represents the vector from A(-8,-1) to B(-5,3) and the magnitude of vector AB.

Mathematics
1 answer:
wel3 years ago
8 0
In order to find the vector that points from A to B we need to subtract each component of A from the corresponding component of B, according to the formula: v(a→b)=(b1−a1,b2−a2) In this case we have : v(a→b)=(−5−(−8),3−(−1)) <span>v(a→b)=(3,4)

</span>To find the magnitude we use the formula: ||v|=  √(v1^2)+(v1^2)

So:
||v|= √(32)+(42) ||v|=  √9+16 ||v|= <span>√</span>25  ||v|= 5
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The game has 12 three-minute rounds. If the players stop after two minutes of the twelfth round, for how many minutes did they p
gogolik [260]
First of all we know he is at the 12th round, so 11 rounds of 3 minutes passed, so 11 x 3= 33 minutes passed, but we also know that he passed two minutes of the 12th round so 33+2= 35 minutes.
The player played for 35 minutes.
6 0
3 years ago
The sum of two non-zero numbers a and b equals the sum of their reciprocals. If a+b≠0, what is the product of the two numbers?
Vadim26 [7]

Answer:

ab = 1

Step-by-step explanation:

A Reciprocal of a number is a number which when multiplied by the original number yields the multiplicative number, 1.

So the reciprocal of x would be x⁻¹ or ¹⁄ₓ

The information we are given states that the sum of the two non-zero numbers a and b equals the sum of their reciprocals.

So we can write this into an equation and solve,

(See image)

Once we solve, we get the equation (ab-1)(a+b) = 0

We are given info that a+b≠0

So for the above equation to be true, ab-1 has to equal 0

For <em>this</em> to be true, the product ab must equal 1

7 0
3 years ago
DEF rotates 90 degrees clockwise about point A to create D’E’F. Therefore, which equation must be true
Rom4ik [11]

Answer:

m∠EAE ' = m∠FAF '

Step-by-step explanation:

Rotation is a type of transformation referred to a in which the shape of the original object is preserved and the angle of rotation is constant for all the parts of the body.

Thus, when ΔDEF rotates 90° clockwise about point A to create ΔD 'E 'F.

5 0
3 years ago
Helppppppp show the steps to your answer
Studentka2010 [4]

The numeric value of the expression -a² - 2bc - |c| for a = -3, b = -5 and c = 2 is of 9.

<h3>How to find the numeric value of an expression?</h3>

The numeric value of an expression is found replacing each letter by it's attributed value.

In this problem, the expression is:

-a² - 2bc - |c|

The attributed values are:

a = -3, b = -5 and c = 2

Hence the numeric value will be given by:

-a² - 2bc - |c| = -(-3)² - 2(-5)(2) - |2| = -(9) + 20 - 2 = -9 + 18 = 9.

More can be learned about the numeric value of an expression at brainly.com/question/14556096

#SPJ1

4 0
1 year ago
What whole number most closely estimates to <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B50%7D%20" id="TexFormula1" title=
zepelin [54]

Answer:

7

Step-by-step explanation:

since \sqrt{50}>\sqrt{49}=7

6 0
3 years ago
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