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Rufina [12.5K]
2 years ago
11

Answer 36. Lara has the following scores: 25, 45, 50 and 36. There is one more test and Lara wants his average to increase by 4,

what does he have to score in her next test?​
Mathematics
1 answer:
iVinArrow [24]2 years ago
6 0
The current average is: (25+45+50+36)/4
=39
Lara wants to increase her average by 4
So her average should be 43.

(25+45+50+36+x)/5=43
(156+x)/5=43
156+x=215
x=59

Lara has to score 59 in her next test to increase her average by 4

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Find the area of the polygon defined by the coordinates (0,-5),(-5,0),(-15,-20),and(-20,-15)
alekssr [168]

Area of the polygon defined by the given points is 62.5 sq units

Step-by-step explanation:

Step 1 :    

Let P be the point (-5,0)  Q = (0,-5), R = (-15,-20) and S = (20,-15)

We have to to find the area of the polygon PQRS

Step 2 :

The area of polygon given the vertices (x(x_{1} ,y_{1} ), (x_{2} ,y_{2})  ... (x_{n} ,y_{n} ) is given by

Area  = mod ( (x_{1} y_{2}  - y_{1}x_{2}) + (x_{2} y_{3}  - y_{2}x_{3}) + ... (x_{n} y_{1}  - y_{n}x_{1}) ) ÷ 2

Where  x_{n} is the vertex n's x coordinate , y_{n} is the vertex n's y coordinate

Substituting the corresponding values ,

Area of PQRS = mod ( (25 - 0)+ (0-75) +(300-300) +( 0-75)  ) ÷ 2

                       = mod (25-75+0-75) ÷ 2

                       = mod (-125) ÷ 2 = 125 ÷ 2 = 62.5 sq units

Step 3 :    

Answer :

Area of the polygon defined by the given points is 62.5 sq units

4 0
3 years ago
Helpppp I’ll mark brainliest
Svetllana [295]
X is 5
Y is 25 and then you just multiply by 3 each time
3 0
3 years ago
Which set of data is correct for the quadratic relation f(x) = 5(x -
Burka [1]

Answer:

Direction parabola opens upward.

Vertex of parabola is (27,-9).

Axis of symmetry is x=27.

Step-by-step explanation:

Note: Option sets are not correct.  

The vertex form of a parabola is

y=a(x-h)^2+k    ...(1)

where, (h,k) is vertex and x=h is the axis of symmetry.

If a<0, then parabola opens downward and if a>0, then parabola opens upward.

The given function is

f(x)=5(x-27)^2-9     ...(2)

On comparing (1) and (2), we get

a=5>0, so direction parabola opens upward.

h=27,k=-9, so vertex of parabola is (27,-9).

So, axis of symmetry is x=27.

6 0
3 years ago
Helppppppopppppppppppppppppp
salantis [7]
B is a correct answer
6 0
3 years ago
What is this? (2 photos please look and just answer A, B, or C)
igomit [66]
I think the answer is C
7 0
3 years ago
Read 2 more answers
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