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2 years ago

Explain why it is helpful to know the basic function shapes and discuss some ways to remember them.

Mathematics

1 answer:

postnew [5]2 years ago

3 0

<h3>Explain why it is helpful to know the basic function shapes and discuss some ways to remember them. </h3>

Knowing the basic function shapes and discuss some ways to remember them is helpful because this is useful tools in the creation of mathematical models because we constantly make theories about the relationships between variables in nature and society. Functions in school mathematics are typically defined by an algebraic expression and have numerical inputs and outputs.

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X²- 12x + a = (x-b)² <br>Find the Value of a and value of b <br>

maxonik [38]

Answer:

a = 36 , b = 6

Step-by-step explanation:

expand the right side using FOIL and compare coefficients with like terms on left side.

(x - b)²

= x² - 2bx + b² , compare to x² - 12x + a , then

- 2b = - 12 ( divide both sides by - 2 )

b = 6

and a = b² = 6² = 36

5 0

2 years ago

Convert 91007500 to scientific notation

sesenic [268]

Scientific notation is a number greater than 0 and less than 10 multiplied by 10 to a power. The expression will be equal to the number given.
91007500
We move the decimal place first so that the number is within our range:
9.1007500
Then we count how many places we moved the decimal. In this case we moved it to the left 7 times, so our exponent of 10 will be 7
Therefore in scientific notation it is 9.1007500 x 10^7
Some teachers prefer to have scientific notation rounded off to the nearest 10th place, so that would be:
9.1 x 10^7

8 0

3 years ago

Explain how you can find the missing number in 3 4/5 divided by ( blank) equals 2 5/7.

skad [1K]

First make fractions.
2 5/7 = 19/7
3 4/5 = 19/5

19/7*x=19/5
Multiply 7 to other side (7*19/5=133/5)
Multiply 5 to other side (5*19=95)
95x=133
133 divided by 95 yields 1.4

The answer is 1.4

6 0

3 years ago

What is the sum of the squares of the lengths of the $\textbf{medians}$ of a triangle whose side lengths are $10,$ $10,$ and $12

FrozenT [24]

A picture can help.

The median to the long side divides the isosceles triangle into two right triangles with hypotenuse 10 and short leg 6. Thus the long leg (median of interest) is found by the Pythagorean theorem to be

... √(10² -6²) = √64 = 8

Then the midpoint of the short side is found to be 6 + (6/2) = 9 units to the side and 8/2 = 4 units above the opposite vertex. Hence the square of the length of that median is 9² + 4² = 97.

The sum of squares of interest is

... 8² + 2×97 = 258

4 0

3 years ago

Read 2 more answers

The cylinder shown has a volume of 150 cubic inches and its height is equal to its

harina [27]

Answer:

Volume of sphere = 200 in³

Step-by-step explanation:

Given:

Volume of cylinder = 150 in³

Height = Radius

Radius of cylinder = Radius of sphere

Find:

Volume of sphere = ?

Computation:

$Volume\ of\ cylinder = \pi r^2h\\\\Given\ r=h\\\\So, \\\\Volume\ of\ cylinder = \pi r^2r\\\\150 = \pi r^3\\\\$

$Volume\ of\ sphere =\frac{4}{3} \pi r^3\\\\We\ know \ that , \pi r^3 = 150\\\\ Volume\ of\ sphere =\frac{4}{3} \times 150\\\\Volume\ of\ sphere =200$

Volume of sphere = 200 in³

7 0

3 years ago