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3 years ago

Please try! Can you have a educative guess for B)

Mathematics

1 answer:

Georgia [21]3 years ago

5 0

Answer:

Rotate Figure A counterclockwise 90 degrees about the origin, and then reflect that result over the x-axis

Step-by-step explanation:

When you rotate the figure 90 degrees it gets into the fourth quadrant. Then you reflect it over the x-axis which will result the pre-image being matched with the image.

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The archway of the main entrance of a university is modeled by the quadratic equation

Scilla [17]

Answer:

B. (1,5) and (5.25, 3.94)

Step-by-step explanation:

The answer is where the 2 equations intersect.

We need to solve the following system of equations:

y = -x^2 + 6x

4y = 21 - x

From the second equation:

x = 21 - 4y

Plug this into the first equation:

y = -(21 - 4y)^2 + 6(21 - 4y)

y = -(441 - 168y + 16y^2)+ 126 - 24y

y = -441 + 168y - 16y^2 + 126 - 24y

16y^2 + y - 168y + 24y + 441 - 126 = 0

16y^2 - 143y + 315 = 0

y = [-(-143) +/- sqrt ((-143)^2 - 4 * 16 * 315)]/ (2*16)

y = 5, 3.938

When y = 5:

x = 21 - 4(5) = 1

When y = 3.938

x = 21 - 4(3.938) = 5.25.

3 0

3 years ago

If someone could figure out the top question that would be great, thank you so much!

Maurinko [17]

I think i only get some of it. this is what i did

x = -3 to 4y = 0.3 to 3if we use -3 and 3a < -1 < b
a= -2 to infiniteb= 0 to infinite

5 0

3 years ago

Find the line y=a+bx which best approximates the data points

Vika [28.1K]

Answer:

y = 11.84x - 32.71

Step-by-step explanation:

Here, the given data points,

(−3,−70),(−1,−42),(1,−21),(2,−9),(4,14),

Let x represents the input value and y represents the output value,

So, the table that represents the given situation is,

x -3 -1 1 2 4

y -70 -42 -21 -9 14

By the above table,

$\sum x=3$

$\sum y=-128$

$\sum xy = 269$

$\sum x^2=31$

$\sum y^2 = 7382$

Let the equation of the line is,

y = bx + a

Where,

$a=\frac{\sum y \sum x^2 - \sum x\sum xy}{n(\sum x^2)-(sum x)^2}$

$b=\frac{n\sum xy - \sum x \sumy}{n(\sum x^2)-(\sum x)^2}$

n = number of data points = 5,

By substituting the values we get,

a = - 32.70547945 ≈ - 32.71,

b = 11.84246575 ≈ 11.84,

Hence, the equation of line would be,

y = 11.84x - 32.71

8 0

3 years ago

Which Expressions are equivalent to the following 30x2-5x-10

Sunny_sXe [5.5K]

Answer:

60-5x-10, 50-5x, 5(10 + x)

Step-by-step explanation:

7 0

3 years ago

What is the range of possible sizes for side x?

faust18 [17]

0.5 < x < 16.5 given: Two sides of triangle: 8.0 units and 8.5 units
Measure of third side = x
According to the triangle's inequality,
Sum of any two sides > third side. (i)
Difference between the sides < third side. (ii)
If x is the third side, then
x < 8+8.5 [Using (i)]
i.e. x< 16.5
Also, x > 8.5-8 [Using (ii)]
i.e. x> 0.5
Hence, Range of possible sizes for side x would be 0.5 < x < 16.5.

6 0

3 years ago

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