What is the image of (0,8) after a dilation by a scale factor of 1/2 centered at the origin?

A 6 foot tall man makes a shadow that is 3 1/2 feet long. How tall is a building that makes a 14 7/8 foot shadow?

timurjin [86]

C

6/3.5 = 14.875/x

6 x 14.875 = 89.25

89.25/3.5 = 25.5

7 0

3 years ago

Mrs. Watson shared a cheese pizza among herself and four children. Each person ate 18 of the pizza. How much of the pizza was ea

katrin [286]

Answer:

90

Step-by-step explanation:

3 0

3 years ago

if “line m” has no y-intercept and it’s x-intercept is (3,0), and “line n” has no x-intercept and its y-intercept is (0,-4), wha

tatuchka [14]

Answer

• Line m: x = 3

,

• Line n: y = –4

Explanation

If a line has no y-intercept, it means it must be parallel to the y - axis. Thus, it is a vertical line that will only cross the x-axis once (in this case).

As we are given that the x-intercept is (3,0), then the equation of line m is:

$x=3$

Following the same logic, if a line has no x-intercept, it will be parallel to the x-axis and it will be a vertical line.

As we are given that the y-intercept is (0,-4), then the equation of line n is:

$y=-4$

5 0

1 year ago

Loren drove 200 miles at a certain rate, and his wife, Lois, drove 100 miles at a rate 10 mph slower. If Loren had driven for th

NeX [460]

As long as Loren drove, the law of motion was

$200 = st_1 \implies t_1 = \dfrac{200}{s}$

As long as Loid drove, the law of motion was

$100 = (s-10)t_2 \implies t_2 = \dfrac{100}{s-10}$

So, the total time they took is

$t_1+t_2=\dfrac{200}{s}+\dfrac{100}{s-10}$

Had Loren driven the whole time, the law of motion would have been

$300=st_3 \implies t_3 = \dfrac{300}{s}$

And we know that this time would have been 30 minutes (i.e. 0.5 hours) faster. So, we have

$t_3 = t_1+t_2-0.5$

This translates into

$\dfrac{300}{s}=\dfrac{200}{s}+\dfrac{100}{s-10}-\dfrac{1}{2}$

If we subtract 200/s from both sides, we have

$\dfrac{100}{s}=\dfrac{100}{s-10}-\dfrac{1}{2}$

We can simplify the right hand side by summing the two fractions:

$\dfrac{100}{s-10}-\dfrac{1}{2} = \dfrac{200-(s-10)}{2(s-10)}=\dfrac{210-s}{2(s-10)}$

So, we have to solve

$\dfrac{100}{s}=\dfrac{210-s}{2(s-10)}$

If we cross multiply the denominators, we have

$200(s-10)=s(210-s) \iff 200s-2000=210s-s^2 \iff s^2-10s-2000=0$

Which yields the solutions

$s=-40,\quad s=50$

We accept the positive solution, because the negative would mean to travel backwards, so Loren's rate was 50mph

5 0

3 years ago

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What is the median of 3, 2, 3, 6, 7, 5, 9?

sdas [7]

Answer:

The value of the middle-most observation is called the median of the data.

First arrange the given numbers in ascending order,

2,2,3,5,7,9,9,10,11

Here n=9, which is odd.

Where, n is the number of the given number.

median = value of

4 0

2 years ago

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