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schepotkina [342]
3 years ago
9

Quadrilateral EFGH was dilated by a scale factor of 2 from the center (1, 0) to create E'F'G'H'. Which characteristic of dilatio

ns compares segment F'H' to segment FH?
A). A segment that passes through the center of dilation in the pre-image continues to pass through the center of dilation in the image.

B). A segment that does not pass through the center of dilation in the pre-image is parallel to its corresponding segment in the image.

C). A segment in the image has the same length as its corresponding segment in the pre-image.

D). A segment that does not pass through the center of dilation in the pre-image is perpendicular to its corresponding segment in the image.

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
3 0

Answer:

  B).  A segment that does not pass through the center of dilation in the pre-image is parallel to its corresponding segment in the image

Step-by-step explanation:

Both A and B are true of dilations. However, since FH does not pass through the center of dilation, statement B is applicable to FH and F'H'.

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An experiment was conducted to assess the efficacy of spraying oats with malathion tocontrol the cereal leaf beetle.A sample of
lesantik [10]

Answer:

C

Step-by-step explanation:

Solution:-

- An experiment on the efficacy of spraying malathion on oats to control the growth cereal leaf beetle.

- A sample of n = 10 farms was taken at random. Each farm was either subjected to control group ( no spray ) or the treatment group ( spray ).

- Power ( β ) is the probability of rejecting the null hypothesis when, in fact, it is false. I.e the test statistics lie in the rejection region or the benefit of adding malathion is proven in-effective when in fact it is in-effective.

- Power is the probability of avoiding a ( Type II error ). Mathematically expressed as:

                    Type II Error = 1 - β

- Power is the probability of making a correct decision (to reject the null hypothesis) when the null hypothesis is false.

- The probability that a test of significance will pick up on an effect that is present.

Hence,

Answer: It is the ability to detect the effectiveness of malathion when in fact it is effective.

3 0
3 years ago
If something cost2.99$ what is the total cost with taxes
butalik [34]

Without a lot more information, nobody can say. Every city, state, and county
can have its own taxes.  They may be at a different rate from other cities, states,
and counties, and they may apply to different items.


6 0
3 years ago
I can't figure this out
andriy [413]
Suppose that equation of parabola is
y =ax² + bx + c


Since parabola passes through the point (2,−15) then 
−15 = 4a + 2b + c

Since parabola passes through the point (-5,-29), then
−29 = 25a − 5b + c

Since parabola passes through the point (−3,−5), then 
−5 = 9a − 3b + c


Thus, we obtained following system:
4a + 2b + c = −15
25a − 5b + c = −29
9a − 3b + c = −5

Solving it we get that 
a = −2, b = −4, c = 1

Thus, equation of parabola is
y = −2x²− 4x + 1

____________________

Rewriting in the form of 
(x - h)² = 4p(y - k)

i) -2x² - 4x + 1 = y

ii) -3x² - 7x = y - 11
(-3x² and -7x are isolated)

iii) -3x² - 7x - 49/36 = y - 1 - 49/36
(Adding -49/36 to both sides to get perfect square on LHS)

iv) -3(x² + 7/3x + 49/36) = y - 3
(Taking out -3 common from LHS)

v) -3(x + 7/6)² = y - 445/36 

vi) (x + 7/6)² = -⅓(y - 445/36) 
(Shifting -⅓ to RHS)

vii) (x + 1)² = 4(-1/12)(y - 445/36)
(Rewriting in the form of 4(-1/12) ; This is 4p) 


So, after rewriting the equation would be - 

(x + 7/6)² = 4(-⅛)(y - 445/36)

__________________

I hope this is what you wanted.

Regards,
Divyanka♪
__________________
6 0
3 years ago
Read 2 more answers
For a pair of similar triangles, corresponding sides are always congruent.<br> True or false?
baherus [9]

That's false. 
For similar triangles, corresponding angles are congruent.
Corresponding sides are in the same ratio but rarely congruent.
(They're congruent only if the ratio is ' 1 ', i.e. the triangles are congruent
as well as being similar.)


6 0
3 years ago
Read 2 more answers
What is the value of f(x)=2•2^x for f(-2)
Zigmanuir [339]

Answer:

The value of f(-2) is 1/2 or it can be written as 0.5.

Step-by-step explanation:

The given function is

f(x)=2\cdot 2^x

We have to find the value of f(-2).

Substitute x=-2 in the given function to find the value of f(-2).

f(-2)=2\cdot 2^(-2)

f(-2)=2\cdot \frac{1}{2^(2)}

f(-2)=\frac{1}{2}

f(-2)=0.5

Therefore the value of f(-2) is 1/2 or it can be written as 0.5.

3 0
3 years ago
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