How do you describe the translation (x, y) → (x + 3, y

Triangle abc is similar to triangle fgh what is the value of x in centimeters

guapka [62]

Answer:

22.5 cm

Step-by-step explanation:

In the figure attached the graph of the problem can be seen.

Given the triangles are similar then the next proportion must be satisfied:

13.5/9 = 18/12 = x/15 = 1.5

Isolating x, we get:

x/15 = 1.5

x = 1.5*15

x = 22.5 cm

3 0

3 years ago

Keith wentfor drive in his new car he drove for 86.4 miles at a speed of 54 mph for how many hours did he drive

Neporo4naja [7]

Answer is 1.6 hours
T=D/S
_=86.4/54
1.6=86.4/54
(Hopes this helps)

7 0

4 years ago

In how many unique ways can the seven letters in the word MINIMUM be arranged, if all the letters are used each time

slega [8]

The number of unique ways or permuations to arrange the seven letters in MINIMUM is all the letters are used each time is 420.

According to the given question.

We have a word MINIMUM.

Here, there are 7 letters in "MINIMUM" .

Now, in Minimum the number of letters which are repeated and which are not.

M = 3 times

I = 2 times

N = 1 time

U = 1 time

As, we all know if there is no repetitions in a word which is made of n letters, then we can arrange it by n! ways.

But if there is repetition, we use formula

$\frac{n!}{n_{1}! n_{2}!..n_{k}! }$

where, n = $n_{1} +n_{2} +n_{3} ...+n_{k}$

$n_{1}$ is objects of one type

$n_{2}$ is the objects of two types

$n_{k}$ is the objects of k types

Thereofore, the number of unique ways or permuations to arrange the seven letters in MINIMUM is all the letters are used each time

= 7!/ 3!2!

= 7(6)(5)(4)(3!)/3!(2)(1)

= 7(3)(5)(4)

= 420

Hence, the number of unique ways or permuations to arrange the seven letters in MINIMUM is all the letters are used each time is 420.

Find out more information about number of ways and permuations here:

brainly.com/question/15609044

#SPJ4

4 0

1 year ago

What are the coordinates of the x-intercepts of the parabola y = x² - 8x + 15?

tamaranim1 [39]

Answer:

(3, 0) and (5, 0)

Step-by-step explanation:

we have

$y=x^{2}-8x+15$

we know that

The x-intercepts are the values of x when the value of y is equal to zero

so

For y=0

$x^{2}-8x+15=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2}-8x+15=0$

so

$a=1\\b=-8\\c=15$

substitute in the formula

$x=\frac{-(-8)\pm\sqrt{-8^{2}-4(1)(15)}} {2(1)}$

$x=\frac{8\pm\sqrt{4}} {2}$

$x=\frac{8\pm2} {2}$

$x=\frac{8+2} {2}=5$

$x=\frac{8-2} {2}=3$

so

x=3, x=5

therefore

The x-intercepts are (3,0) and (5,0)

4 0

3 years ago

After a political ad campaign, pollsters check the president's negatives. They test the hypothesis that the ads produced no chan

blsea [12.9K]

Answer:

C- There is a 3.8% chance that natural sampling variation could produce poll results at least as far below 54% as these if there is really no change in public opinion.

Step-by-step explanation:

The p-value indicates the probability that the test statistic occurs, given that the parameters of the null hypothesis are true.

The smallest the p-value, the less likely is the sample statistic obtained. If this p-value is below a threshold, called "level of significance", it can be claimed that the null hypothesis is wrong.

In this case, we can not say anything about the probability of success of the ad campaign or the quality of the poll, because we have no information about it.

4 0

3 years ago

How do you describe the translation (x, y) → (x + 3, y - 7) in words?