MATHEMATICS HIGH SCHOOL

Using the defects method, which of these relationships represents the Law of Cosines if the measure of the included angle between the sides a and b of ∆ABC is more than 90°? A. area of square c2 = -area of square a2 – area of square b2 + area of defect1 + area of defect2 B. area of square c2 = area of square a2 + area of square b2 + area of defect1 – area of defect2 C. area of square c2 = area of square a2 + area of square b2 – area of defect1 – area of defect2 D. area of square c

Answers

Answer 1
Answer:

PLATO: The answer is D area of square c2 = area of square a2 + area of squareb2 + area of defect1+ area of defect2
Answer 2
Answer:

Answer:

D

Step-by-step explanation: Just did it

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What is bigger 0.09 or 0.089

Answers


0.09-0.089= 0.001 Therefore,0.09 is bigger than 0.089 by 0.001.
0.09 is bigger since it is lke0.090 ans like comparing 90 to 89

Given the function f(x) = -4x² + 7x, find f(5).

Answers

Answer:

f(5) = -65

Step-by-step explanation:

f(x) = -4x² + 7x                                     f(5)

f(5) = -4(5)² + 7(5)

f(5) = -4(25) + 35

f(5) = -100 + 35

f(5) = -65

2/3 of a some of money is 48p. What is 5/8 of the sum of money?

Answers

Let the sum of money be x
so 2/3 of x = 48p
so x = 48*3/2 = 72p
so 5/8 of the sum of money = 5/8*72 = 45p

The cubic parent function y=x^3 contains the point (2,8). If the function reflected over the x-axis and shifted right 6 units, what are the coordinates of the new point

Answers

Answer:

The new coordinate are (8,-8)

Step-by-step explanation:

Whenever a graph is reflected about the x-axis, positive y values become negative and vice versa. In this case positive y(8) becomes negative (-8). While the x values remain unchanged.

So the coordinates when moving by one unit will be (2,-8)

Shifting it 6units to the right increases the x values by six to give the new coordinates which is (8,-8)

June plans to buy a new pair of jeans. they are on sale for 25% off. if the original price is $35.00, how much will she save on her jeans?

Answers

To find the discount, multiply the decimal version of the percent by the original price.
25% = 0.25
0.25 • 35.00 = 8.75
This means there is a $8.75 discount, or $8.75 off in other words.
All that's left to do is subtract the discount amount from the original price.
35.00 - 8.75 = 26.25
So the price of the jeans with the sale is $26.25.
25% off of $35.00 is...

*multiply 35 × .25 (move decimal over to the left twice so that it is not a "percentage")

*35 × .25 = 8.75 (now since 25% is 1/4th of 100% you can multiply 8.75 by 4 to make sure you get the full 100% price of $35.00)

*now you know 8.75 is 25% of $35.00

*subtract 8.75 (25%) from 35 (100%)

*35 - 8.75 = 26.25

*june will pay $26.25 with the 25% sale off of the $35.00 original price of the jeans.

If f(x) = x²-5x and g(x) = 2x-3, which expression represents the product of these two functions?1) x²-3x-3
2) 2x³-13x²+15x
3) 9x²-15x
4) 2x³-15x

Answers

2).  (x² - 5x) (2x - 3) = 2x³ -13x² + 15x
product=f(x)\cdot g(x)=(x^2-5x)(2x-3)=2x^3-3x^2-10x^2+15x=\n\n=2x^3-13x^2+15x\ \ \ \Rightarrow\ \ \ Ans.\ 2)
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