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2 years ago

12

Factor x2 -2x - 35 Zero Product Property Solve for x.

1 answer:

evablogger [386]2 years ago

5 0

Factor x2-2x-35 using the AC method.
(x-7)(x+5)

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Find the measurement of the kites angle.

Nookie1986 [14]

I think the kite is at a 45 degree angle

8 0

2 years ago

Please help me with these, oh sweet jesus

Lelechka [254]

Answer:

77. $\cot^{6} x = \cot^{4} x \csc^{2}x - \cot^{4} x$ Proved

78. $\sec^{4}x \tan^{2} x = \sec^{2}x [\tan^{2}x + \tan^{4}x ]$ Proved

79. $\cos^{3} x\sin^{2} x = [\sin^{2}x - \sin^{4}x] \cos x$ Proved.

80. $\sin^{4}x - \cos^{4}x = 1 - 2\cos^{2}x + 2 \cos^{4} x$ Proved.

Step-by-step explanation:

77. Left hand side

= $\cot^{6} x$

= $\cot^{4} x \times \cot^{2} x$

= $\cot^{4}x [\csc^{2}x - 1]$

{Since we know, $\csc^{2} x - \cot^{2}x = 1$ }

= $\cot^{4} x \csc^{2}x - \cot^{4} x$

= Right hand side (Proved)

78. Left hand side

= $\sec^{4}x \tan^{2} x$

= $\sec^{2} x [1 + \tan^{2}x] \tan^{2} x$

{Since $\sec^{2}x - \tan^{2}x = 1$ }

= $\sec^{2}x [\tan^{2}x + \tan^{4}x ]$

= Right hand side (Proved)

79. Left hand side

= $\cos^{3} x\sin^{2} x$

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

{Since $\sin^{2}x + \cos^{2} x = 1$ }

= $[\sin^{2}x - \sin^{4}x] \cos x$

= Right hand side

80. Left hand side

= $\sin^{4}x - \cos^{4}x$

= $[\sin^{2}x + \cos^{2}x]^{2} - 2\sin^{2} x \cos^{2}x$

{Since $\sin^{2}x + \cos^{2} x = 1$ }

= $1 - 2\cos^{2} x[1 - \cos^{2}x ]$

= $1 - 2\cos^{2}x + 2 \cos^{4} x$

= Right hand side. (Proved)

7 0

2 years ago

What is the nth term rule of the linear sequence below?

Solnce55 [7]

Answer:

tn=a+(n-1)d

tn=22+(n-1)4

tn=22+4n-4

tn=4n+18

7 0

2 years ago

Find the distance between P1(1, -91°) and P2(3, 335°) on the polar plane.

Dmitrij [34]

Answer:

2.749

Step-by-step explanation:

Use the polar distance formula:

$\sqrt{r_{1}^{2}+{r_{2}^{2}-2 r_{1} r_{2}cos(theta_{1} -theta_{2})$

$\sqrt{10^{2}+{3^{2}-2(1) (3)cos(225-(-91))$

2.749

5 0

2 years ago

20% of what number is 30? Pick the proportion that could be used to solve.

Colt1911 [192]

30 is 20% of 150

Working out percentage problems of the form "30 is 20 percent of what number?"

We have, 20% × x = 30

or,

20/100 × x = 30

Multiplying both sides by 100 and dividing both sides by 20,

we have x = 30 × 100/20

x = 150

If you are using a calculator, simply enter 30×100÷20, which will give you the answer.

5 0

2 years ago