Which will result in a perfect square trimonial

Create write an expression that simplifies to 2a + 14 using the distributive property

geniusboy [140]

Answer:

2 ( a + 7)

Step-by-step explanation:

2a + 14

both 2a and 14 are divisible by 2

2a/a = a

14/2 = 7

2( a + 7) = 2a + 14

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-Chetan K

4 0

3 years ago

Determine the equation of the circle with radius 99 and center (-1,-8)(−1,−8).

kumpel [21]

<h2>Equations of Circles</h2>

Generally, you'd see the equation of a circle organized in the following format:

$(x-h)^2+(y-k)^2=r^2$

$(h,k)$ is the center
$r$ is the radius

To determine the equation given the center and the radius:

Plug both pieces of information into the general equation
Simplify

<h2>Solving the Question</h2>

We're given:

Radius: 99
Center: (-1,-8)

Plug the radius and center into the equation as r and (h,k):

$(x-(-1))^2+(y-(-8))^2=99^2\\(x+1)^2+(y+8)^2=9801$

<h2>Answer</h2>

$(x+1)^2+(y+8)^2=9801$

7 0

2 years ago

BIG COW LITTLE COW FAT COW ADORABLE COW

alexandr1967 [171]

Ahh that’s very very very very swag

4 0

2 years ago

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The CEO of a software company is committed to expanding the proportion of highly qualified women in the organization’s staff of

pishuonlain [190]

Answer:

Null Hypothesis, $H_0$ : p $\geq$ 45%

Alternate Hypothesis, $H_A$ : p < 45%

Step-by-step explanation:

We are given that the proportion of women in similar sales positions across the country in 2004 is less than 45%.

The collected random sample of size 50 showed that only 18 were women.

<u><em>Let p = proportion of women in similar sales positions across the country in 2004</em></u>

So, Null Hypothesis, $H_0$ : p $\geq$ 45%

Alternate Hypothesis, $H_A$ : p < 45%

Here, <u><em>null hypothesis states that</em></u> the proportion of women in similar sales positions across the country in 2004 is more than or equal to 45%.

On the other hand, <u><em>alternate hypothesis states that</em></u> the proportion of women in similar sales positions across the country in 2004 is less than 45%.

The test statistics that would be used here is One-sample z proportion test statistics, i.e;

T.S. = $\frac{\hat p -p}{\sqrt{\frac{\hta p(1-\hat p)}{n} } }$ ~ N(0,1)

Hence, the above hypothesis is appropriate for the given situation.

4 0

3 years ago

Simplify the rational expression. State any restrictions on the variable n^4-11n^2+30/ n^4-7n^2+10

djyliett [7]

To factor both numerator and denominator in this rational expression we are going to substitute $n^{2}$ with $x$ ; so $n^{2} =x$ and $n ^{4} = x^{2}$ . This way we can rewrite the expression as follows:
$\frac{n^{4}-11n^{2} +30 }{n^{2}-7n^{2} +10 } = \frac{ x^{2} -11x+30}{ x^{2} -7x+10}$
Now we have two much easier to factor expressions of the form $a x^{2} +bx+c$ . For the numerator we need to find two numbers whose product is $c$ (30) and its sum $b$ (-11); those numbers are -5 and -6. $(-5)(-6)=30$ and $-5-6=-11$ .
Similarly, for the denominator those numbers are -2 and -5. $(-2)(-5)=10$ and $-2-5=-7$ . Now we can factor both numerator and denominator:
$\frac{ x^{2} -11x+30}{ x^{2} -7x+10} = \frac{(x-6)(x-5)}{(x-2)(x-5)}$
Notice that we have $(x-5)$ in both numerator and denominator, so we can cancel those out:
$\frac{x-6}{x-2}$
But remember than $x= n^{2}$ , so lets replace that to get back to our original variable:
$\frac{n^{2}-6 }{n^{2}-2 }$
Last but not least, the denominator of rational expression can't be zero, so the only restriction in the variable is $n^{2} -2 \neq 0$
$n^{2} \neq 2$
$n \neq +or- \sqrt{2}$

5 0

3 years ago

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