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GarryVolchara [31]
2 years ago
10

Suppose a triangle has sides 1,1,1 which of the following must be true

Mathematics
1 answer:
erastova [34]2 years ago
6 0

Answer:

1

Step-by-step explanation:

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Which equation represents a parabola that opens upward, has a minimum at x = 3, and has a line of symmetry at x = 3?
densk [106]

Answer:

A.\ y = x^2 - 6x + 13 is the correct answer.

Step-by-step explanation:

We know that vertex equation of a parabola is given as:

y = a(x-h)^2+k

where (h,k) is the vertex of the parabola and

(x,y) are the coordinate of points on parabola.

As per the question statement:

The parabola opens upwards that means coefficient of x^{2} is positive.

Let a = +1

Minimum of parabola is at x = 3.

The vertex is at the minimum point of a parabola that opens upwards.

\therefore h = 3

Putting value of a and h in the equation:

y = 1(x-3)^2+k\\\Rightarrow y = (x-3)^2+k\\\Rightarrow y = x^2-6x+9+k

Formula used: (a-b)^2=a^{2} +b^{2} -2\times a \times b

Comparing the equation formulated above with the options given we can observe that the equation formulated above is most similar to option A.

Comparing y = x^2 - 6x + 13 and y = x^2-6x+9+k

13 = 9+k

k = 4

Please refer to the graph attached.

Hence, correct option is A.\ y = x^2 - 6x + 13

3 0
3 years ago
Read 2 more answers
Find the equation of the line that passes through the points (-800, 200) and<br> (-400, 300)
alisha [4.7K]

The distance (d) between two points (x1,y1) and (x2,y2) is given by the formula

d = √  ((X2-X1)2+(Y2-Y1)2)

d = √ (-400--800)2+(300-200)2

d = √ ((400)2+(100)2)

d = √ (160000+10000)

d = √ 170000

The distance between the points is 412.310562561766

The midpoint of two points is given by the formula

Midpoint= ((X1+X2)/2,(Y1+Y2)/2)

Find the x value of the midpoint

Xm=(X1+X2)/2

Xm=(-800+-400)/2=-600

Find the Y value of the midpoint

Ym=(Y1+Y2)/2

Ym=(200+300)/2=250

The midpoint is: (-600,250)

Graphing the two points, midpoint and distance

P1 (-800,200)

P2 (-400,300)

Midpoint (-600,250)

The length of the black line is the distance between the points (412.310562561766)

6 0
3 years ago
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a container built in the shape of a cylinder has a circular base with a radius of 1.5 meters. the altitude of the container is 3
HACTEHA [7]

Answer:

im assuming you need the volume of this container:

Volume=\pi r^{2} h

Volume=\pi (1.5^{2} )(3.5)=24.7

8 0
3 years ago
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What's the answer please help
Talja [164]
\frac{55}{550} * \frac{100}{1} =x\\&#10;\frac{55*100}{550*1}=x\\&#10;\frac{5500}{550}=x\\&#10;x=10
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3 years ago
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What is the answer to this question!?
vladimir2022 [97]
 In your equation m=1
5 0
3 years ago
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