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3 years ago

Convert the function into standard form: y = (x + 4)(x - 6) Show your work!!!

Mathematics

2 answers:

NikAS [45]3 years ago

8 0

$y = (x + 4)(x - 6)\\\\y=x^2-6x+4x-24\\\\y=x^2-2x-24$

klemol [59]3 years ago

6 0

Hey!!

What is a standard form in a quadratic equation?

... y = ax² + bx + c

In this equation, x and y are points where as a,b and c are the constants.

We have:

... y = (x+4)(x-6)

... y = (x)(x)+(x)(-6)+(4)(x)+(4)(-6)

... y = x² - 6x + 4x - 24

Combining the like terms.

... y = x² - 2x - 24 <em>Is the standard form. </em>

Hope my answer helps!

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Which method would prove the quadrilateral is a parallelogram?

Maurinko [17]

Answer:

Answer: Each pair of opposite sides has the same measure. Therefore, they are congruent. If both pairs of opposite sides of a quadrilateral are congruent, the quadrilateral is a parallelogram.

3 0

3 years ago

Javier has four cylindrical models. The heights, radii, and diagonals of the vertical cross-sections of the models are shown in

Ronch [10]

The model in which the lateral surface meets the base at right angle is : Model 1.

<h3>What is a lateral surface?</h3>

The lateral surface of an object is all surfaces of that object excluding its base and top.

Analysis:

To know the exact model, we check for the models in which their dimensions form a Pythagorean triplet otherwise a right-angled triangle.

For Pythagorean triplet, the square of the diagonal must be equal to the sum of squares of the other two sides.

Model 1

Diagonal = 50cm, radius = 14cm, lateral height = 48cm

$(50)^{2}$ = $(14)^{2}$ + $(48)^{2}$

2500 = 196 + 2304

2500 = 2500. Forms Pythagorean triplet

Model 2

Diagonal= 37cm, radius = 6cm lateral height = 35cm

$(37)^{2}$ = $(35)^{2}$ + $(6)^{2}$

1369 = 1225 +36

1369 $\neq$ 1261

Model 3

Diagonal = 60cm, radius = 20cm lateral height = 40cm

$(60)^{2}$ = $(20)^{2}$ + $(40)^{2}$

3600 = 400 + 1600

3600 $\neq$ 2000

Model 4

Diagonal = 30cm, radius = 24cm, lateral height = 9cm

$(30)^{2}$ = $(24)^{2}$ + $(9)^{2}$

900 = 576 + 81

900 $\neq$ 657

Therefore the lateral surface model 1 meets the base at right angle

In conclusion, the lateral surface of model 1 meets the base at right angles as the dimensions form a right-angled triangle.

Learn more about Pythagorean triplet: brainly.com/question/20894813

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5 0

2 years ago

Read 2 more answers

Calculate the mean, median, mode, range, and 5 Number Summary of the following data set: 5,6,8,4,7,5,4,2,5,6,5,2,1,4

Artist 52 [7]

Answer:

mean = 4.57, median = 5 , mode = 5, range =7 ,

five number summary: Minimum value= 1 , First Quartile = 4, Median = 5

Third Quartile = 6, Maximum value = 8

Step-by-step explanation:

First arrange the data in ascending order.

1,2,2,4,4,4,5,5,5,5,6,6,7,8

Mean = sum of all numbers / total numbers

= 1+2+2+4+4+4+5+5+5+5+6+6+7+8 / 14

= 64 / 14

= 4.57

Median:

Since the given data is even number so, we can find median by taking mean of 2 middle numbers.

so the middle numbers are 7th and 8th data i.e, 5 and 5

Median =(5+5)/2

= 5

Mode:

The most repetitive number in the data set is mode

So Mode = 5

Range:

Range can be found by subtracting smallest number from largest number in the data set.

Smallest number = 1, Largest number = 8

Range= Largest number - Smallest number

= 8-1 = 7

Five no Summary

Minimum value= 1

First Quartile ( 25 % mark )= 4

Median = 5

Third Quartile (75 % mark) = 6

Maximum value = 8

First quartile can be found by : consider the data on left of the median and find median among them

Third quartile can be found by: consider the data on right of the median and find median among them

7 0

4 years ago

What is the interquartile range of this data set? Enter your answer in the box

guapka [62]

37
Line up the data, separate into quarters
Take the highest number in the 3rd quarter from the lowest in the 2nd

3 0

2 years ago

Read 2 more answers

A bill for the repair of a laptop was $249. The cost of the parts was $84, and the labor charge was $55 per hour. How many hours

jek_recluse [69]

3 hours.
Explanation
249 total - 84 already paid (for parts) is
165.
165
divided by
55 dollars an hour
is
3 hours worked on repairing.

6 0

3 years ago