All categories

3 years ago

Under a dilation of a scale factor of 1/2 centered at (7,5), SM becomes HG. Determine the coordinates of HG

Mathematics

1 answer:

Kitty [74]3 years ago

6 0

(3.5, 2.5)
i multiplied the original coordinates by the scale factor to get the coordinates of hg. hope this helps :)

You might be interested in

Find the domain of h(x)=x-3/x^3-36x

Dovator [93]

There is some ambiguity here which could be removed by using parentheses. I'm going to assume that you actually meant:

x-3

h(x) = ---------------

(x^3-36x)

To determine the domain of this function, factor the denominator:

x^3 - 36x = x(x^2 - 36) = x(x-6)(x+6)

The given function h(x) is undefined when the denominator = 0, which happens at {-6, 0, 6}.

Thus, the domain is "the set of all real numbers not equal to -6, 0 or 6."

Symbolically, the domain is (-infinity, -6) ∪ (-6, 0) ∪ (0, 6) ∪ (6, +infinity).

3 0

3 years ago

A survey of 1 comma 558 randomly selected adults showed that 522 of them have heard of a new electronic reader. The accompanying

sineoko [7]

Answer with explanation:

Let p be the proportion of adults have heard of the new electronic reader.

Given claim : The accompanying technology display results from a test of the claim that 38% of adults have heard of the new electronic reader.

i.e. $p=0.38$

Then , the set of hypothesis will be :-

$H_0: p=0.38\\\\H_a:p\neq0.38$

Since, the alternative hypothesis is two tailed , so the test is two-tailed test.

Also, it is given that the sample size : $n=1558$

Number of adults showed that they have heard of a new electronic reader=522

So the sample proportion for adults have heard of the new electronic reader : $\hat{p}=\dfrac{522}{1558}\approx0.34$

The test statistic for proportion is given by :-

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\\\\Rightarrow\ z=\dfrac{0.34-0.38}{\sqrt{\dfrac{0.38(1-0.38)}{1558}}}\\\\\\\Rightarrow\ z=-3.25279036541\approx-3.25$

By using standard normal distribution table , the P-value for two tailed test corresponds to the obtained z-value = $=0.0011541$

6 0

3 years ago

Pls help need it ASAP

vitfil [10]

Answer:

3x-2y=17........(1)

x=4y-1

substituting value of x in equation 1

3(4y-1)-2y=17

12y-3-2y=17

10y=17+3

y=20/10=2

again

substituting value of y in equation 1

3x-2×2=17

3x=17+4

x=21/3=7

:.x=7,y=2

3 0

3 years ago

Find The Volume And Surface Area!

KATRIN_1 [288]

Answer:

I'm sorry the pic isn't loading for meee but I wish u all the best

8 0

3 years ago

Ron's property tax is $615.33 and is due April 5. He does not pay until July 19. The country adds a penalty of 8.4% simple inter

dolphi86 [110]

Number of days that attracted penalty is from April 5 to July 19 which is 105 days.

Thus the amount of simple interest attracted by Ron is given by:

$S.I.= \frac{615.33\times8.4\times105}{100\times365} = \frac{542,721.06}{36500} =\$14.87$

6 0

3 years ago