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2 years ago

The following are true about a square of a binomial except

Mathematics

2 answers:

-BARSIC- [3]2 years ago

8 0

Answer:

B. ITS FIRST TERM IS A PERFECT SQUARED ITS MIDDLE TERM IS ALWAYS NEGATIVE.

pishuonlain [190]2 years ago

6 0

Answer:

D. It's middle term is always negative.

Step-by-step explanation:

A square of a binomial (perfect square), means that the two binomial terms are the same. Therefore, both terms will include either a double positive (which would result in a positive answer), or a double negative, (which, by the law of multiplying double negatives, would result in a positive answer).

Therefore, D will be the correct "incorrect" answer.

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Verify each trigonometric equation by substituting identities to match the right hand side of the equation to the left hand side

lorasvet [3.4K]

Answer:

Step-by-step explanation:

cot x sec⁴ x = cot x+2 tan x +tan³x

L.H.S = cot x sec⁴x

=cot x (sec²x)²

=cot x (1+tan²x)² [ ∵ sec²x=1+tan²x]

= cot x(1+ 2 tan²x +tan⁴x)

=cot x+ 2 cot x tan²x+cot x tan⁴x

=cot x +2 tan x + tan³x [ ∵cot x tan x $=\frac{ \textrm{tan x }}{\textrm{tan x}}$ =1]

=R.H.S

(sin x)(tan x cos x - cot x cos x)=1-2 cos²x

L.H.S =(sin x)(tan x cos x - cot x cos x)

= sin x tan x cos x - sin x cot x cos x

$=\textrm{sin x cos x }\times\frac{\textrm{sin x}}{\textrm{cos x} } - \textrm{sinx}\times\frac{\textrm{cos x}}{\textrm{sin x}}\times \textrm{cos x}$

= sin²x -cos²x

=1-cos²x-cos²x

=1-2 cos²x

=R.H.S

1+ sec²x sin²x =sec²x

L.H.S =1+ sec²x sin²x

= $1+\frac{{sin^2x}}{cos^2x}$ [ $\textrm{sec x}=\frac{1}{\textrm{cos x}}$ ]

=1+tan²x $[\frac{\textrm{sin x}}{\textrm{cos x}} = \textrm{tan x}]$

=sec²x

=R.H.S

$\frac{\textrm{sinx}}{\textrm{1-cos x}} +\frac{\textrm{sinx}}{\textrm{1+cos x}} = \textrm{2 csc x}$

L.H.S= $\frac{\textrm{sinx}}{\textrm{1-cos x}} +\frac{\textrm{sinx}}{\textrm{1+cos x}}$

$=\frac{\textrm{sinx(1+cos x)+{\textrm{sinx(1-cos x)}}}}{\textrm{(1-cos x)\textrm{(1+cos x})}}$

$=\frac{\textrm{sinx+sin xcos x+{\textrm{sinx-sin xcos x}}}}{{(1-cos ^2x)}}$

$=\frac{\textrm{2sin x}}{sin^2 x}$

= 2 csc x

= R.H.S

-tan²x + sec²x=1

L.H.S=-tan²x + sec²x

= sec²x-tan²x

= $\frac{1}{cos^2x} -\frac{sin^2x}{cos^2x}$

$=\frac{1- sin^2x}{cos^2x}$

$=\frac{cos^2x}{cos^2x}$

8 0

3 years ago

Apples cost $0.75 per pound and bananas cost $1.05 per pound.

dedylja [7]

Answer:

The baker bought 8 pounds of apples and 4 pounds of bananas.

Step-by-step explanation:

a+b=12.

0.75a+1.05b=10.20

First, multiply 2 my 10.

75a+105b=1020.

Then multiply 1 by 75.

75a+75b=900.

Then subtract.

75a+105b=1020

75a+75b=900.

75a-75a+105b-75b=1020-900

30b=120

b=4

Substitute into (1)

a+4=12

a=8.

Hope this helps :)

3 0

3 years ago

Someone help pls!!!!!!!!!!!

Gemiola [76]

The answer is no question for you lol

7 0

3 years ago

The midpoint of segment AB is (-7, 10) and endpoint A is located at (3, -1). Find the other endpoint B. Show all work.

dusya [7]

Answer:

$B(-17,21)$

Step-by-step explanation:

The midpoint of two points is the average of the x coordinates and the average of the y coordinates.

Given

A(3, -1)

and we let the other end point B be B(x,y)

and midpoint is (-7,10)

So, the average of 3 and x is -7, and

the average of -1 and y is 10

We can solve for x first:

$\frac{3+x}{2}=-7\\3+x=2*-7\\3+x=-14\\x=-14-3\\x=-17$

and now solving for y:

$\frac{-1+y}{2}=10\\-1+y=2*10\\-1+y=20\\y=20+1\\y=21$

So, the other point B is:

$B(-17,21)$

6 0

3 years ago

The results of a survey of 43 students and the foreign language they are studying are shown in the two-way frequency table.

babunello [35]

Since 5 out of 43 people take chinese, it's 5/43 which is the same as 0.116 which means 11,6%

I hope this was helpful! Tell me if it's unclear!

4 0

3 years ago