MATHEMATICS HIGH SCHOOL

What polynomial identity should be used to prove that 16^2=(10+6)^2? (A. Difference of Cubes; B. Difference of Squares; C. Square of Binomial; D. Sum of Cubes)

Answers

Answer 1

Answer:

Answer:

C. Square of Binomial

Step-by-step explanation:

To prove the identity you should use square of Binomial that states the following:

$(a+b)^(2)=a^(2)+2ab+b^(2)$

Lets prove it, so first take the equation to solve:

$(10+6)^(2)$

Then square the first term:

$(10+6)^(2)=10^(2)$

Then multiply by 2 the first and second terms:

$(10+6)^(2)=10^(2)+2(10)(6)$

Finally square the second term:

$(10+6)^(2)=10^(2)+2(10)(6)+6^(2)$

Solve the values:

$(10+6)^(2)=100+2(10)(6)+6^(2)$

$(10+6)^(2)=100+120+6^(2)$

$(10+6)^(2)=100+120+36$

$(10+6)^(2)=256$

And prove the polynomial identity:

$16^(2)=256$

Answer 2

Answer: not difference of cubes since it is 2nd degree
not difference of squares since it is plus
not sum of cubes because 2nd degreee

answer is square of binomial (why do we even need this property, oh well)

C

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Answers

is this shape 3d and no offense your 28 you should know this stuff. like im 15 and I know more than u MOHAHA

What is the inverse of the function f(x) = 2x – 10? A. h(x) = 2x - 5B. h(x) = 2x + 5 C. h(x) = 1/2x - 5 D. h(x) = 1/2x - 10

Answers

Answer:

f^-1(x)=1/2x+5

Step-by-step explanation:

y=2x-10

inteechange 'y' with 'x'

x=2y-10

make 'y' the subject

2y=x+10

divide by 2both sides

y=(x+10)÷2

y=1/2x+5

f^-1(x)=1/2x+5

What is the product of y4 x y6?

Answers

Multiplying exponents of the same base is basically adding up the exponents. Make sure the base the same which it is.

y^4 x y^6 = y^10

Marvin walks at a speed of 7 feet per minute. How many miles per hour is this?

Answers

Answer:

$(7)/(88)\ (miles)/(hour)$

$0.08\ (miles)/(hour)$

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

Let

s ----> the speed

x ----> the distance

y ----> the time

$s=(x)/(y)$

we have

$x=7\ ft$

$y=1\ min$

Remember that

$1\ mile=5,280\ feet$

$1\ hour=60\ minutes$

$x=7\ ft=(7)/(5,280)\ mi$

$y=1\ min=(1)/(60)\ h$

Find out the speed in miles per hout

$s=((7/5,280))/((1/60))=(420)/(5,280)\ (miles)/(hour)$

Simplify

$(7)/(88)\ (miles)/(hour)$

$0.08\ (miles)/(hour)$

If the price of an item is increased by 12%, the increase in the price is sh.90. Find the new price of the item.

Answers

Hello!

Answer:

Hence,the new price of the item is 840 shillings.

Answer:

sh.840

Step-by-step explanation:

Let x = original price.

12% of x = 90

0.12x = 90

x = 90/0.12

x = 750

The original price was sh.750

The new price is 750 + 90 = 840

Answer: sh.840

A student was investigating how many students in their class share a car ride to school.The table shows the results.
If 26 students travel by car, and some student travel together, answer the following.

(a) What is the missing frequency?
(b) What is the mean number of students in each car?

Number of students in one car Number of cars
1 n
2 7
3 3

Answers

If 26 students were riding, then the missing frequency for the number of cars for each student. Because:

2x7 = 14
+
3x3 =9
=
23 students. Therefore there were 3 cars with only 1 student riding in each car.

The mean number of students in each car is 2. Because:

mean for 3 cars = 1
mean for 7 cars = 2
mean for 3 cars = 3

Add it all up and divide by 3 means yields 2.

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A rectangular garden is 5 feet longer than twice its width. It has a sidewalk 3 feet wide on two of its sides. The area of the sidewalk is 213 square feet. Find the dimensions of the garden.

Erica makes $4,840 monthly. What is the maximum loan she can take out on a house? $58,080$116,160 $100,000 $87,120

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