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zhannawk [14.2K]
2 years ago
6

What is the exact value for the expression √52-√13+√117? Simplify if possible.

Mathematics
1 answer:
Aleksandr-060686 [28]2 years ago
8 0

√52-√13+√117

sqrt (4*13) - sqrt (13) + sqrt (13*9)

sqrt(4)sqrt(13) -sqrt(13)+sqrt(13)sqrt(9)

2sqrt(13) -sqrt(13)+3sqt(13)

sqrt(13)[2-1+3]

4sqrt(13)

Choice A

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3. Given the directed line segment AB, with endpoints A20, 6) and B(-16, 50), find the point Q
garri49 [273]

The point Q that partitions the line segment is Q(2,28)

Given that the directed line segment AB, with endpoints A(20, 6) and B(-16, 50) and divide the segment into a 1:1 ratio.

A line segment is a part of a line bounded by two distinct endpoints and containing all the points of the line segment between its endpoints.

We will find the point Q by using the section formula that is

Q(x,y)=((mx₂+nx₁)/(m+n),(my₂+ny₁)/(m+n))

The given ratio is m:n=1:1 and the points (x₁,y₁)=(20,6) and (x₂,y₂)=(-16,50).

Firstly, we will find the point Q for x-axis, we get

Q(x)=(mx₂+nx₁)/(m+n)

Q(x)=(1×(-16)+1×20)/(1+1)

Q(x)=(-16+20)/2

Q(x)=4/2

Q(x)=2

Now, we will find the point Q for y-axis, we get

Q(y)=(my₂+ny₁)/(m+n)

Q(y)=(1×50+1×6)/(1+1)

Q(y)=(50+6)/2

Q(y)=56/2

Q(y)=28

The point Q that partitions the line segment is Q(x,y)=(2,28)

Hence, point Q partitions this segment into a 1:1 ratio with directed line segment AB, with endpoints A(20, 6) and B(-16, 50) is Q(2,28).

Learn more about the line segment from here brainly.com/question/9034900

#SPJ9

8 0
2 years ago
‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️PLEASE PLEASE HELP!!!!
Lerok [7]
The angle immediately below x makes up the third angle of the isosceles triangle whose base angles are 55°. That third angle and x are "vertical" angles, hence equal. The value of x can be found from the sum of angles of a triangle:
  x + 55° + 55° = 180°
  x = 70°

The appropriate choice is the 2nd one:
  70°
4 0
3 years ago
Read 2 more answers
In the diagram of circle K, tangents are drawn from point A to points B and C on the circle. If arc mBC = 96, then what is the m
rjkz [21]

Answer:

∠A = 84°

Step-by-step explanation:

Since AB and AC are tangent to the circle, ∠ABK = 90° and ∠ACK = 90°.

Angles of a quadrilateral add up to 360°, so:

∠A + 90° + 90° + 96° = 360°

∠A = 84°

8 0
3 years ago
Which point on the number line shows 45 ?
MatroZZZ [7]
Point H shows 45 because 6.7 multiplied by each other equals 45 and 6.7 on the line is point H
7 0
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The sum of 5 consecutive odd numbers is 145
xeze [42]

The sum of 5 consecutive odd integers is 145. These are the other 4 consecutive odd numbers. Now if we add all of these up we will get this : 25 + 27 + 29 + 31 + 33 = 145.

Hope I helped! ☺☼

8 0
3 years ago
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