Ask question

Ask question

All categories

3 years ago

11

Adiya said that the first step to solving the quadratic equation x2 + 6 = 20x by completing the square was to divide 6 by 2, squ

are that value, and add the result to both sides. Is Adiya’s solution method correct? Explain.

2 answers:

Alisiya [41]3 years ago

8 0

Answer:(7)2+6=20

Step-by-step explanation:what times (?) Times 2 +6 will give you twenty

7×2=14 14 + 6 = 20

Alex787 [66]3 years ago

6 0

Answer:

Adiya’s method is not correct. To form a perfect square trinomial, the constant must be isolated on one side of the equation. Also, the coefficient of the term with an exponent of 1 on the variable is used to find the constant in the perfect square trinomial. Adiya should first get the 20x term on the same side of the equation as x2. Then she would divide 20 by 2, square it, and add 100 to both sides.

Step-by-step explanation:

You might be interested in

A line includes the points (-39,49) and (0,0). What is its equation in slope-intercept form?

malfutka [58]

Answer:

The equation in the slope-intercept form will be:

$y=-\frac{49}{39}x+0$

Step-by-step explanation:

Given the points

(-39,49)

(0,0)

Finding the slope between the points using the formula

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-39,\:49\right),\:\left(x_2,\:y_2\right)=\left(0,\:0\right)$

$m=\frac{0-49}{0-\left(-39\right)}$

$m=-\frac{49}{39}$

We know that the point-slope of the line equation is

$y-y_1=m\left(x-x_1\right)$

substituting $m=-\frac{49}{39}$ and (-39,49) in the equation

$y-y_1=m\left(x-x_1\right)$

$y-49=\frac{-49}{39}\left(x-\left(-39\right)\right)$

Now writing the equation in slope-intercept form

$y=mx+b$

where m is the slope and b is the y-intercept

$y-49=\frac{-49}{39}\left(x-\left(-39\right)\right)$

$y-49=\frac{-49}{39}\left(x+39\right)$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}$

$y-49=-\frac{49}{39}\left(x+39\right)$

$\mathrm{Add\:}49\mathrm{\:to\:both\:sides}$

$y-49+49=-\frac{49}{39}\left(x+39\right)+49$

$y=-\frac{49}{39}x+0$ ∵ $y=mx+b$

Where

$m=-\frac{49}{39}$ and the y-intercept i.e. $b=0$

Therefore, the equation in the slope-intercept form will be:

$y=-\frac{49}{39}x+0$

5 0

3 years ago

Find the area of a circle with diameter 10cm use the value 3.14

mafiozo [28]

Answer:

78.5 cm

Step-by-step explanation:

The area of a circle is represented by A = πr². Since we are replacing the value of pi(π) with 3.14, and the diameter is 10, meaning the radius(r) is 5, we can plug both values into the equation, to get A = 3.14(5^2). This simplifies to 78.5.

3 0

3 years ago

Read 2 more answers

Simplify using perfect squares or factor trees. Show your work.

miv72 [106K]

(√5)²=5

Let me know if you need more information.

4 0

3 years ago

Which congruency theorem can be used to prove that △ABD ≅ △DCA?<br> SSS<br> ASA<br> SAS<br> AAS

NISA [10]

Answer:

SAS

Step-by-step explanation:

Given: Two triangles ΔABD and ΔDCA,

We have, AD=AD (common)

∠A=∠A (Given)

BA=CD (Sides opposite to equal angles are always equal)

With the SAS rule of congruency,

ΔABD≅ΔDCA

3 0

2 years ago

Read 2 more answers

Suppose 60% of American adults believe Martha Stewart is guilty of obstruction of justice and fraud related to insider trading.

Ierofanga [76]

Answer:

Since the sample size is large enough (n>30) and the probability of success is near to 0.5, and we have that $n\hat p = 60>10$ and $n(1-\hat p) = 40>10$ we can assume that the distribution for $\hat p$ is normal

The population proportion have the following distribution

$\hat p \sim N(\hat p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

The mean is given by:

$\mu_p = 0.6$

$\sigma_p = \sqrt{\frac{0.6*(1-0.6)}{100}}=0.04899$

So then we can conclude that the best answer would be:

c. approximately Normal, with mean 0.6 and standard error 0.04899

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$p$ represent the real population proportion of interest

$\hat p$ represent the estimated proportion for the sample

n is the sample size required (variable of interest)

Solution to the problem

Since the sample size is large enough (n>30) and the probability of success is near to 0.5, and we have that $n\hat p = 60>10$ and $n(1-\hat p) = 40>10$ we can assume that the distribution for $\hat p$ is normal

The population proportion have the following distribution

$\hat p \sim N(\hat p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

The mean is given by:

$\mu_p = 0.6$

$\sigma_p = \sqrt{\frac{0.6*(1-0.6)}{100}}=0.04899$

So then we can conclude that the best answer would be:

c. approximately Normal, with mean 0.6 and standard error 0.04899

8 0

3 years ago