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lina2011 [118]
3 years ago
10

Can anyone help me on this geometry question and explain it?​

Mathematics
1 answer:
Aleks04 [339]3 years ago
4 0

Answer:

The length of FG is 5.

Step-by-step explanation:

We can use the distance formula to solve.

D = \sqrt{ (x2 - x1)^{2} + (y2 - y1)^{2} }

D = \sqrt{ (1 - -2)^{2} + (0 - -4)^{2} }

D = \sqrt{ 3^{2} + 4^{2} }

D = \sqrt{ 9 + 16 }

D = \sqrt{25}

D = 5

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use a graphing calculator or other technology to answer the question which quadratic regression equation best fits the data set
Greeley [361]

Answer:

Option C is the correct option.

In other words, the quadratic regression y=32.86\:\left(x\right)^2-379.14\left(x\right)+1369.14\: best fits the data set, as it gets very much close to the data values given in the data table.

The graph of the equation  y=32.86\:\left(x\right)^2-379.14\left(x\right)+1369.14\:  is also attached.

Step-by-step explanation:

x                 y

3                470

4                416

5                403

Analyzing Option A:

Considering the equation

y=32.86\:\left(x\right)^2+379.14\left(x\right)-1369.14\:

From (3, 470), putting x = 3

y=32.86\:\left(3\right)^2+379.14\left(3\right)-1369.14\:

y=64.02

From (4, 470), putting x = 4

y=32.86\:\left(4\right)^2+379.14\left(4\right)-1369.14\:\:

y=673.18

From (5, 403), putting x = 5

y=32.86\:\left(5\right)^2+379.14\left(5\right)-1369.14\:

y=1348.06

Analyzing Option B:

y=32.86\:\left(x\right)^2-379.14\left(x\right)

From (3, 470), putting x = 3

y=32.86\:\left(3\right)^2-379.14\left(3\right)

y=-841.68

From (4, 470), putting x = 4

y=32.86\:\left(4\right)^2-379.14\left(4\right)

\:y=-990.8

From (5, 403), putting x = 5

y=32.86\:\left(5\right)^2-379.14\left(5\right)

\:y=-1074.2

Analyzing Option C:

Considering the equation

y=32.86\:\left(x\right)^2-379.14\left(x\right)+1369.14\:

From (3, 470), putting x = 3

y=32.86\:\left(3\right)^2-379.14\left(3\right)+1369.14\:

y=527.46

So, the approximately result is (3, 527)

From (4, 470), putting x = 4

y=32.86\:\left(4\right)^2-379.14\left(4\right)+1369.14\:

y=378.34

So, the approximately result is (4, 378)

From (5, 403), putting x = 5

y=32.86\:\left(5\right)^2-379.14\left(5\right)+1369.14\:\:\:

y=294.94

So, the approximately result is (5, 295)

Analyzing Option D:

Considering the equation

y=-1369.14\:\left(x\right)^2-379.14\left(x\right)+32.86

From (3, 470), putting x = 3

y=-1369.14\:\left(3\right)^2-379.14\left(3\right)+32.86\:\:

y=-13426.82

From (4, 470), putting x = 4

y=-1369.14\:\left(4\right)^2-379.14\left(4\right)+32.86

y=-23389.94

From (5, 403), putting x = 5

y=-1369.14\:\left(5\right)^2-379.14\left(5\right)+32.86\:\:

y=-36091.34

Therefore, from the above calculations and analysis, we conclude that Option C is the correct option.

In other words, the quadratic regression y=32.86\:\left(x\right)^2-379.14\left(x\right)+1369.14\: best fits the data set, as it gets very much close to the data values given in the data table.

The graph of the equation  y=32.86\:\left(x\right)^2-379.14\left(x\right)+1369.14\:  is also attached.

3 0
3 years ago
Find the area of the kite QRST. HELP PLEASE!!!
Svetradugi [14.3K]

ANSWER

D. 135 m^2

EXPLANATION

The area of a kite is half the product of the diagonals.

The first diagonal is

9m+6m=15m

Note that the vertical diagonal is the axis of symmetry of the kite.

This diagonal bisect the kite

Therefore the second diagonal is

2(9m)=18m

The area of the kite

=  \frac{1}{2}  \times 18 \times 15

= 9 \times 15

= 135 {m}^{2}

4 0
3 years ago
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How does changing the function from f(x) = −5 cos 2x to g(x) = −5 cos 2x − 3 affect the range of the function?
Alla [95]
The graph has been moved 3 units downward, making the range change. The range of f(x) is [-5,5], while the range of g(x) is [-8,2]. The picture is of both functions. f(x) is blue, g(x) is red.

6 0
3 years ago
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What Did Mozart Become On His Thirteenth Birthday?​
Brums [2.3K]

Answer:

a teenager

Step-by-step explanation:

5 0
3 years ago
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Last year, 45% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indica
natka813 [3]

Answer:

a)x₁  = 24  business owners plan to provide a gift this year

b)  p-value = 0,0017

c)p-value < α   we have to eject H₀   And support the claim that the proportion of business owners providing gifts has decrease

Step-by-step explanation:

a) Sample size 80

proportion  p₁  = 30 %   p₁ = 0,3

Then   x₁ = 80*0,3

x₁  = 24  business owners plan to provide a gift this year

b) Hypothesis Test

Null Hypothesis                    H₀          p₁  =  0,45

Alternative Hypothesis        Hₐ          p₁  <  0,45

p₁  =  0,3   then  q₁  =  1  -  0,3    q₁ =  0,7

z(s)  = ( p₁  -  0,45 )/ √p₁* q₁ / n

z(s)  =  -  0,15 / √0,002625

z(s) = - 0,15 / 0,05123

z(s) = - 2,9279

b)From z-table we find  p-value = 0,0017

c) If  α = 0,05   ( significance level )  as

p-value < α   we have to eject H₀   And support the claim that the proportion of business owners providing gifts has decrease

6 0
3 years ago
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