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Leto [7]
2 years ago
11

`bar(JK)` is dilated by a scale factor of n with the origin as the center of dilation, resulting in the image `bar(J'K')`. The s

lope of `bar(JK)` is m. If the length of `bar(JK)` is l, what is the length of `bar(J'K')`? A. m × n × l B. (m + n) × l C. m × l D. n × l
Mathematics
2 answers:
dalvyx [7]2 years ago
7 0

Answer:

Length of Bar JK=l

Bar (JK) is dilated by a scale factor of n, having origin as the center of dilation.

New line segment formed named  bar (J'K').

As given slope of bar(JK) =m

When we dilate a line segment with respect to origin , having origin as the center of dilation, there is no effect of slope on Dilation.

Length of bar (J'K')= (Length of bar JK)×(Scale factor)

                             = l×n Or n×l

Option (D) is correct.

                           




Ronch [10]2 years ago
5 0
<h3>Answer: Option D. n x l</h3>

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If 10a+10b=35, what is the average (arithmetic mean) of a and b?
worty [1.4K]

Answer:

1.75

Step-by-step explanation:

If a  and b are two numbers, then their arithmetic mean is

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Given:

10a+10b=35

Divide this equation by 10:

a+b=3.5

Now, divide it by 2:

\dfrac{a+b}{2}=\dfrac{3.5}{2}\\ \\\dfrac{a+b}{2}=1.75

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2 years ago
A bacon cheeseburger at a popular fast food restaurant contains 2,070mg of sodium, which is 86% of the recommended daily amount.
svp [43]
2,070mg 86%
— = —
? mg 100%

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2 years ago
The height of seaweed of all plants in a body of water are normally distributed with a mean of 10 cm and a standard deviation of
Degger [83]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is:

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X~N(μ;σ²)

μ= 10 cm

σ= 2 cm

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P(X≤x)= 0.30

P(X≥x)= 0.70

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P(Z≤z)= 0.30

In the body of the table look for the probability of 0.30 and reach the margins to form the Z value. The mean of the distribution is "0" so below 50% of the distribution you'll find negative values.

z= -0.52

Now you have to clear the value of X:

Z= (X-μ)/σ

Z*σ= X-μ

X= (Z*σ)+μ

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The value of seaweed height that divides the bottom 30%  from the top 70% is 8.96 cm

I hope this helps!

7 0
2 years ago
26. A positive whole number is called stable if at least one of its digits has the same value
Kisachek [45]

Answer:

<h2>One</h2>

Step-by-step explanation:

Given the value 78247 a s a stable number because at least one of its digits has the same value  as its position in the number. The 4th number in the value is 4, this makes the number a stable number.

The following are the 3-digits stable numbers that appears in 78247

The first number is 824. This digits are stable numbers because 2 as a number is situated in the same place as the number (2nd position).

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5 0
2 years ago
If 6j-5k =11 and 5j-6k =22, then what is the value of 2j+2k??
dsp73

Answer:

-22

Step-by-step explanation:

6j-5k=11

5j-6k=22

-----------------

5(6j-5k)=5(11)

-6(5j-6k)=-6(22)

-----------------------

30j-25k=55

-30j+36k=-132

-----------------------

11k=-77

k=-77/11

k=-7

6j-5(-7)=11

6j+35=11

6j=11-35

6j=-24

j=-24/6

j=-4

------------------

2j+2k=2(-4)+2(-7)=-8-14=-22

8 0
2 years ago
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