Do dilations always produce congruent figures​

Answer:

Question A)

[tex]=\sqrt{6}x[/tex]

Question B)

[tex]=3a\sqrt{a}[/tex]

Question C)

[tex]=5\sqrt{2}b^2[/tex]

Step-by-step explanation:

A)

We are given:

[tex]\sqrt{6x^2}\, \text{ where } x\geq 0[/tex]

We can rewrite the expression:

[tex]=\sqrt{6}\cdot \sqrt{x^2}[/tex]

The square root and square will cancel each other out. Thus:

[tex]=\sqrt{6}x[/tex]

B)

We are given:

[tex]\sqrt{9a^3}[/tex]

Rewrite:

[tex]=\sqrt{9}\cdot \sqrt{a^3}[/tex]

Note that the square root of 9 is simply 3. We can also factor the second part:

[tex]=3\cdot \sqrt{a^2\cdot a}[/tex]

Rewriting:

[tex]=3\cdot\sqrt{a^2}\cdot\sqrt{a}[/tex]

Simplify:

[tex]=3a\sqrt{a}[/tex]

C)

We are given:

[tex]\sqrt{50b^4}[/tex]

Rewrite. Note that 50 = 25(2):

[tex]=\sqrt{25}\cdot \sqrt{2}\cdot \sqrt{b^4}[/tex]

Simplify. We can rewrite the factor as:

[tex]=5\cdot \sqrt{2}\cdot \sqrt{(b^2)^2}[/tex]

The square and square root will cancel out. Thus:

[tex]=5\sqrt{2}b^2[/tex]

Answer:

6a

Step-by-step explanation:

Answer:

6a

Step-by-step explanation:

3a+2a+a= 6a

6-4-2=0

6a+0=6a

Answer:

3/2

I hope this is correct

Answer:

3/2 = 1.5

Step-by-step explanation:

Find two corresponding sides whose lengths are given.

AB and WX

The scale factor from quad ABCD to quad WXYZ is the ratio of a length in WXYZ to the corresponding length in ABCD.

scale factor = 12/8 = 3/2 = 1.5

The linear equation is defined by y = mx +b is called ''Slope-intercept form''.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The linear equation is defined by,

⇒ y = mx + b

Now, We know that;

The equation defined as;

⇒ y = mx + b

Where, 'm' is slope and 'b' is y - intercept.

Hence, The linear equation is defined by y = mx +b is called ''Slope-intercept form''.

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Answer:

Closing costs are fees paid at the closing of a real estate transaction. Typically home owners will pay between 2 to 5 percent of the purchase price of their home in closing fees. So, if your home cost $150,000, you might pay between $3,000-$7,000 in closing costs.

Answer:

True.

Step-by-step explanation:

given equation: (tan x - 1)/(tan x + 1) = (1 - cot x)/(1 + cot x)

1. manipulate the right side by using trigonometric identities

(tan(x) - 1)/(tan(x) + 1) = (-cos(x) + sin(x))/(cos(x) + sin(x))

2. manipulate the right side by using trigonometric identities

(-cos(x) + sin(x))/(cos(x) + sin(x)) = (-cos(x) + sin(x))/(cos(x) + sin(x))

Both sides of the equation are now equal -> (tan x - 1)/(tan x + 1) = (1 - cot x)/(1 + cot x) is true.

Answer:

140÷440(you can write it as a fraction)

=0.318181882

=0.32

Answer:

i think ik it the aswer is c

Answer:

There is not enough evidence to support the claim that average score for those given colored pen is greater than 77

Step-by-step explanation:

Given the data : 75, 78, 74, 89, 76, 92, 81, 87, 77, 79, 75, 81, 52, 80, 98, 72, 78

Using calculator :

Sample mean, xbar = 79.06

Sample standard deviation = 9.85

Sample size, n = 17

H0 : μ = 77

H1 : μ > 77

The test statistic : (xbar - μ) ÷ (s / sqrt(n))

(79.06 - 77) ÷ (9.85 / sqrt(17))

2.06 ÷ (9.85 / sqrt(17))

= 0.8623

The Pvalue from Tscore :

Pvalue = 0.20063

Since pvaue is > α ; we fail to reject the null ` There is not enough evidence to support the claim that average score for those given colored pen is greater than 77

Answer:

cannot be simplified

Step -by-step explanation:

[tex]3\sqrt{7} - 5\sqrt[4]{7} \\[/tex]

The indexes are not the same so the radicals cannot be combined.

cannot be simplified

Answer: 12.5

Step-by-step explanation:

So, basically there is 5 minutes and the number of times occuring is 5 so its 5x1 which is 5 and then there is 10 minutes and the number of times occuring  is twice so its 2x10 which is 20. Next, is 15 minutes and the times occuring  is 2 so, 2x15 which is 30. And finally theres  20 minutes and the amount of times occuring  is once so 20x1 which is 20. Then you add them all up which is 5+20+30+20=75. And the formula for mean/average is The sum of all number/ The amount of numbers there are so 75/6 is 12.5.

Answer:

x = -4 and 2

Step-by-step explanation:

When x = -4 and 2, y = 0 so -4 and 2 are the roots

Answer:

7 is the answer

Step-by-step explanation:

Because 6x + 3 -8 + x = x is 6

Answer: 96 oz

Step-by-step explanation:

Answer:

What do you mean lucky?

Answer:

Yes

Step-by-step explanation:

Here are the characteristics of Quadratic Functions

Axis of symmetry

x and y-intercepts

Zeroes

vertex

Point symmetric to y-intercept

Answer,  z10

Step-by-step explanation:

Answer:

The triangle is isosceles.

Step-by-step explanation:

This means that one angle's sine is the same as the other's cosine.

Answer:

B. Given the values for the explanatory variables, there is a 60 percent probability that the dependent variable will equal one.

Step-by-step explanation:

Given

Model: binary dependent variable

Predicted value: 0.6

Required

Interpret

The possible values of a binary dependent variable are 0 or 1.

So, a predicted value means that, the chance that the dependent variable will be 1 equals to the predicted value.

Since the predicted value is 0.6 (or 60%), this means that; there is a 60% chance that the dependent variable = 1.

Hence, option (b) is true.

Answer:

the answer is B)

4√24x^3/2x

Solution:

The answer is B

Step-by-step explanation:

I just took the test.

Answer:

2/8 or 1/4

Step-by-step explanation:

Answer:

The chlorine tablets are $36 and the pH test kit is $4.40.

Step-by-step explanation:

So what I first did was add 90+11 (because $90 for the chlorine tablets and $11 for the pH kit). The answer you should get is 101.  From their I did 101 multiplied by 40% or 101 multiplied by .40 (40% and 0.40 are the same thing). You now get $40.4.  

Now I did 90·40%. I got $36

Then I did 11·40%. I got 4.4

I added them up and got $40.4 which was my new price so now we know that the chlorine tablets are $36 and the pH test kit is $4.40.

Step-by-step explanation:

1cantimeter=10mm

14mm=1.4cm

Area of circle pi r²=pi*1.4²=1.96pi

Answer:

Circumference is about 182.21

Step-by-step explanation:

Use the distance formula to find the radius of the circle with the two coordinates given. The radius of this circle is 29. Plug 29 into the formula 2(pi)r to find the Circumference. The answer is 182.21

The equation of the circle is [tex]\rm(x-3)^2+(y+2)^2=29^2[/tex].

The equation of the circle is given by;

[tex]\rm (x-h)^2+(y-k)^2=r^2[/tex]

Where r is the radius and h and k are the centre of the circel.

The radius of the circle is;

[tex]r=\sqrt{(23-3)^2+(19-(-2))^2} \\\\r=\sqrt{(20)^2+(21)^2} \\\\r=\sqrt{400+441}\\\\r =\sqrt{841}\\\\r=29[/tex]

The equation of the circle is;

[tex]\rm (x-h)^2+(y-k)^2=r^2\\\\\rm (x-3)^2+(y-(-2))^2=29^2\\\\ (x-3)^2+(y+2)^2=29^2[/tex]

Hence, the equation of the circle is [tex]\rm(x-3)^2+(y+2)^2=29^2[/tex].

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Answer:

$135,000

Step-by-step explanation:

108000*1.25

Answer:

The median is 6.5 :)

Step-by-step explanation:

Brainliest please?

The median of the data in the bar chart given is 6.5 kilometers.

Median of a data set is the element in the middle if the data are arranged in increasing or decreasing order.

Given is a bar chart which shows the distance that each family member run in a relay race.

The data is given as :

4, 11, 5, 8

In order to find the median, first arrange the data in an increasing order.

4, 5, 8, 11

Since there are even number (4) of data points, median is the average of the middle two elements.

Median = (5 + 8) / 2 = 6.5 km

Hence the median of the given data is 6.5 kilometers.

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Answer:

the solution to this equation is x = 9°

Step-by-step explanation:

9x + 3 = 84

9x = 84 - 3

9x = 81

x = 81 / 9

x = 9°

Answer:

24 days

Step-by-step explanation:

Given

[tex]Pages = 528[/tex]

[tex]Rate = 22[/tex]

Required

The number of days

The number of days (d) is calculated as:

[tex]d = \frac{Pages}{Rate}[/tex]

[tex]d = \frac{528}{22}[/tex]

[tex]d = 24[/tex]