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Lyrx [107]
3 years ago
6

Brainly for questions 4 & 5

Mathematics
1 answer:
dimulka [17.4K]3 years ago
7 0

Answer:

its a quiz you might get banned

Step-by-step explanation:

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Plot the image of D under a dilation about the origin (0,0) with a scale factor of 2
ElenaW [278]

(-6,-4)

If you dilate a point, (c,d) about (a,b) by a scale factor by k. You'll going to subtract each coordinates where the point will be dilated about (a,b) from the point (c,d) and then multiply them by k. This would be the formula if you want: (k(c -a), k(b -d))

Let's say F is the dilation of D about the origin or (0,0) then the x coordinate of F would be

x =  2( - 3 - 0) \\ x = 2( - 3) \\ x =  - 6

This would be the y coordinate of F:

y = 2( - 2 - 0) \\ y = 2( - 2) \\ y =  - 4

Thus the coordinates of F is (-6,-4)

4 0
3 years ago
Paolo Portraits charges $15 per photo with no sitting fee. The graph shows the fees for clear image studio.Compare the functions
liubo4ka [24]

Answer:

The rate of change of Paolo Portraits is $15 per photo and the rate of change of clear image studio is $12 per photo. Paolo Portraits charges are higher than the clear image studio.

Step-by-step explanation:

The rate of change represent the change in one variable with respect to another variable. It also known as slope.

It is given that Paolo Portraits charges $15 per photo with no sitting fee. It means the rate of change of Paolo Portraits is $15 per photo.

The function for Paolo Portraits charges is defined as

f(x)=15x

From the given graph it is noticed that the line is passing through the points  (0,0) and (1,12).

The slope of the line is

m=\frac{y_2-y_1}{x_2-x_1}=\frac{12-0}{1-0}=\frac{12}{1}=12

The function for clear image studio is

g(x)=12x

It means the rate of change of clear image studio is $12 per photo.

The rate of change of Paolo Portraits is more than rate of change of clear image studio.

Therefore Paolo Portraits charges are higher than the clear image studio.

3 0
3 years ago
What is the value of y in this triangle?<br><br> A ) 124°<br> B ) 98°<br> C ) 56°<br> D ) 36°
Zolol [24]
180-134=46 98+46=144. 180-144=36. angle y=36. So the answer is D)36.
5 0
3 years ago
Read 2 more answers
Consider the steps for determining the quotient of 12/x-4 / 4/x-4
Ierofanga [76]

Answer:

Quotient = 3

Step-by-step explanation:

We need to solve the given expression :

\dfrac{\dfrac{12}{x-4}}{\dfrac{4}{x-4}}

It can be done as follows :

As, \dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times \dfrac{d}{c}

So,

\dfrac{\dfrac{12}{x-4}}{\dfrac{4}{x-4}}=\dfrac{12}{x-4}\times \dfrac{x-4}{4}\\\\=\dfrac{12}{4}\\\\=3

Hence, the required quotient is 3.

5 0
3 years ago
Read 2 more answers
The difference of two sample means is 22, and the standard deviation of the difference of the sample means is 10. The difference
taurus [48]

Answer:

The 95% confidence interval for the difference of the two populations means is ( 2.4, 41.6)

Step-by-step explanation:

Confidence intervals are usually constructed using the formula;

point estimate ± margin of error

In this question we are required to construct a 95% confidence interval for the difference of two populations means. The point estimate for the difference of two population means is the difference of their sample means which in this case is 22.

Assuming normality conditions are met, since we have no information on the sample sizes, the margin of error will be calculated as;

margin of error = z-score for 95% confidence * standard deviation of the difference of the sample means

The z-score associated with a 95% confidence interval is 1.96

The standard deviation of the difference of the sample means is given as 10

The 95% confidence interval for the difference of the two populations means is thus;

22 ± 1.96(10) = 22 ± 19.6 = ( 2.4, 41.6)

8 0
3 years ago
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