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ololo11 [35]
3 years ago
14

What is the distance between the two points (5,-2) and (-3,8)

Mathematics
1 answer:
bearhunter [10]3 years ago
4 0
You need to use the distance formula
d =  \sqrt{ {(x - x)}^{2}  +  {(y - y)}^{2} }

\sqrt{ {(5 + 3)}^{2}  +  {( - 2 - 8)}^{2} }
so the distance between points (5,-2) and (-3,8) is
2 \sqrt{41}
which won't simplify so it stays as is
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The segments shown below could form a triangle ac-9 cb-7 ba-16
avanturin [10]
Just by looking at the Lines I would say False
3 0
3 years ago
A soccer team will sell T-shirts for a fundraiser. The company that makes the T-shirts charges $10 per shirt plus a $20 shipping
FinnZ [79.3K]
a. Write and graph an equation in two variables that represents the total cost of ordering the shirts.
 For this case, the first thing we must do is define variables:
 c = total cost
 x = x number of shirts.
 The equation that adapts to the problem is:
 c (x) = 10x + 20
 Answer:
 c (x) = 10x + 20

 b. Choose an ordered pair that lies on your graph in part (a). Interpret it in the context of the problem.
 
Let's choose the next ordered pair:
 (x, c (x)) = (0, 20)
 We verify that it is in the graph:
 c (20) = 10 (0) + 20
 c (20) = 20 (yes, it belongs to the graph).
 In the context of the problem, this point means that the cost per shipment is $ 20
 Answer:
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3 0
2 years ago
What is the measure of the angle labeled (5x+42)° ?
barxatty [35]

We see two parallel lines crossed by a transversal.

The two labelled angles are alternate interior angles, hence they are equal.

The equality allows us to equate the two expressions and hence solve for x.

8x-3=5x+42

transpose terms

8x-5x=42+3

solve for x

3x=45

so x=45/3=15.

This means 5x+42=5*15+42=75+42=117 degrees.

4 0
3 years ago
Read 2 more answers
Given circle P with arc AE=53, arc BA=68 and arc CB=72 match the following angles with their corresponding measurements
11Alexandr11 [23.1K]
From the diagram;
1. Angle 2 = ADB+BDH
                                           = arcAB/2 +90 
                                           = 34 +90 
                                           = 124°

2. Angle 4= 90°,
Reason ; the angle between a tangent and a radius is equal to 90. A tangent is a line that touches the circumference of a circle once even if prolonged.

3. Angle 5 = 90 -BDC (note the acr subtends twice the angle it subtends on the circumference to the center.
             = 90-arc BC/2
             = 90-36
              = 54°

4. Angle 6 = BFD
             = 180-ADB-FBD
             = 180-AB/2-DE/2
             But DE = 180 -121 = 59
Therefore, BFD = 180 -34-29.5
             = 116.5°

5. Angle 1 = 180- BFD (angles on a straight line add up to 180°)
              = 180- 116.5
              = 63.5°
           

6. Angle 3 = 180 -(ADB+BFD)
             = 180 -(34 +116.5)
             =  180- 150.5
             = 29.5°
similarly angle 3 = DE/2 = 59/2 = 29.5°

7. Angle 8= 90, because BD is diameter;
 angles subtended by a diameter to the circumference is always a right angle (90°)


8.Angle 7 =  BE
               but BE= AB+AE
                          = 68+ 53
                          = 121°
                 


    
3 0
3 years ago
Write an equivalent expression by distributing the "-−" sign outside the parentheses: -(3.4p-6q+6) −(3.4p−6q+6)
julia-pushkina [17]

Answer:

-(3.4p-6q+6) = -3.4p+6q-6

Step-by-step explanation:

Given

-(3.4p-6q+6)

Required

Simplify

-(3.4p-6q+6)

Rewrite as

-1(3.4p-6q+6)

-1 * (3.4p-6q+6)

Open the bracket

-3.4p+6q-6

7 0
3 years ago
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