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2 years ago

6

If ab=5 and aa+bb=25,then (a+b)(a+b)=?

1 answer:

rosijanka [135]2 years ago

7 0

Answer:

(a + b) (a + b) = 35

Step-by-step explanation:

${(a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab \\ \\ (a + b) (a + b) = a \ast a + b \ast b + 2ab \\ \\ = 25 + 2 \times 5 \\ \\ 25 + 10 \\ \\ (a + b) (a + b) = 35$

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The intersection of parallel lines b and c and transversal line d form several special angle relationships, as shown in the imag

Marrrta [24]

Supplementary= 180
5 and 6
2 and 8

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2 years ago

Read 2 more answers

Let f(x) be a func. satisfying f(-x)=f(x) for all real x.if f"(x) exist, find its value.

OverLord2011 [107]

Answer:

$f''(x)=f''(-x)$

Step-by-step explanation:

A function satisfying the equation $f(x)=f(-x)$ is said to be an even function. This denomination comes from the fact that the same relation is satisfied for functions of the form $x^{n}$ with $n$ even. Observe that if $f$ is twice differentiable we can derivate using the chaing rule as follows:

$f(x)=f(-x)$ implies $f'(x)=f'(-x)\cdot (-1)=-f'(-x)$

Applying the chain rule again we have:

$f'(x)=-f'(-x)$ implies $f''(x)=-f''(-x)\cdot (-1)=f''(-x)$

So we have that function $f''(x)$ is also an even function.

4 0

3 years ago

How to solve this trigonometric equation cos3x + sin5x = 0

mrs_skeptik [129]

Answer:

x = {nπ -π/4, (4nπ -π)/16}

Step-by-step explanation:

It can be helpful to make use of the identities for angle sums and differences to rewrite the sum:

cos(3x) +sin(5x) = cos(4x -x) +sin(4x +x)

= cos(4x)cos(x) +sin(4x)sin(x) +sin(4x)cos(x) +cos(4x)sin(x)

= sin(x)(sin(4x) +cos(4x)) +cos(x)(sin(4x) +cos(4x))

= (sin(x) +cos(x))·(sin(4x) +cos(4x))

Each of the sums in this product is of the same form, so each can be simplified using the identity ...

sin(x) +cos(x) = √2·sin(x +π/4)

Then the given equation can be rewritten as ...

cos(3x) +sin(5x) = 0

2·sin(x +π/4)·sin(4x +π/4) = 0

Of course sin(x) = 0 for x = n·π, so these factors are zero when ...

sin(x +π/4) = 0 ⇒ x = nπ -π/4

sin(4x +π/4) = 0 ⇒ x = (nπ -π/4)/4 = (4nπ -π)/16

The solutions are ...

x ∈ {(n-1)π/4, (4n-1)π/16} . . . . . for any integer n

5 0

2 years ago

Use the sample data and confidence level to construct the confidence interval estimate of the population proportion p. n equals

Alekssandra [29.7K]

Answer:

(0.767,0.833)

Step-by-step explanation:

The 95% confidence interval for population proportion p can be computed as

$p-z_{\frac{\alpha }{2} } \sqrt{\frac{pq}{n} }$

The z-value associated with 95% confidence level is 1.96.

whereas p=x/n

We are given that x=440 and n=550.

p=440/550=0.8

$0.8-1.96\sqrt{\frac{0.8(0.2)}{550} }$

$0.8-1.96\sqrt{\frac{0.16}{550} }$

$0.8-1.96\sqrt{0.00029 }$

$0.8-1.96(0.01706)$

$0.8-0.03343$

$0.76657$

Thus, the required confidence interval is

0.767<P<0.833 (rounded to 3 decimal places)

Hence, we are 95% confident that our true population proportion will lie in the interval (0.767,0.833)

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2 years ago

Maria has 14 fewer apps on her phone than Orlando. If the total number of apps on both phones is 34, how many apps are on each p

Hoochie [10]

Orlando has 24 apps and Maria has 10.

4 0

1 year ago