All categories

3 years ago

Please help i don’t understand this

Mathematics

1 answer:

swat323 years ago

5 0

Similar polygons only differ by a scaling factor. In other words, two polygons are similar if one is the scaled version of the other.

In particular, this implies that the angles are preserved, and the correspondent sides are in proportion.

These two polygons are both rectangles, so the angles are preserved. We must check the sides, and we have to check if the smaller sides are in the same proportion as the bigger sides.

So, the two rectangles are similar if the following is true.

$4\div 5 = 11\div 12$

In any proportion, the product of the inner terms must be the same as the product of the outer terms:

$4\cdot 12 = 5\cdot 11 \iff 48=55$

This is clearly false, and thus the two rectangles are not similar.

You might be interested in

Describe the behavior of the function h around its vertical asymptote at x=-6.

steposvetlana [31]

Answer:

Step-by-step explanation:

One good way to look at this is to graph both polynomials, as shown in the picture. A tip to help graph is to factor it out and work from there. For example, in x²+14x+48, we can gather that (x+6)(x+8) is the same thing, and it is easier to then graph it. Similarly, for x²+12x+36, we can factor it out as (x+6)² .

When x²+12x+36 approaches 6, it is getting really close to 0, but it stays positive. When x²+14x+48 approaches 6 from the negative side, it is also getting close to 0, but it's negative. When x²+14x+48 approaches 6 from the positive side, it is positive.

Therefore, on the negative side, there is one positive and one negative (dividing a negative by a positive is negative, and a positive by a negative is also negative) , and on the positive side, there are two positives, forming one answer.The answer is therefore B

7 0

3 years ago

Write this ratio 1:3.5 in the form p:q where p and q are whole numbers

Orlov [11]

We have to express the ratio 1 : 3.5 in the form p:q where p and q are whole numbers.

Consider the ratio of 1 and 3.5,

1 : 3.5 = $\frac{1}{3.5}$

= $\frac{10}{35}$

Reducing the above fraction to its lowest form.

So, we get $\frac{10}{35}=\frac{2}{7}$

Therefore, the ratio 1 : 3.5 is expressed as $\frac{2}{7}$

where 2 and 7 are the whole numbers.

4 0

3 years ago

If f(x) = -x + 8 and g(x) = x^4, what is (gºf)(2)?

kotykmax [81]

Answer:

$\large\boxed{(g\circ f)(2)=1296}$

Step-by-step explanation:

$(g\circ f)(x)=g\bigg(f(x)\bigg)\\\\f(x)=-x+8,\ g(x)=x^4\\\\(g\circ f)(x)=\g\bigg(f(x)\bigg)=(-x+8)^4\\\\(g\circ f)(2)\to\text{put x = 2 to the equation}\ (g\circ f)(x):\\\\(g\circ f)(2)=(-2+8)^4=(6)^4=1296$

7 0

3 years ago

Read 2 more answers

find the lower quartile for the data {47.2, 33.8, 43, 62, 5.8, 9, 61.4, 30.8, 68.2, 51.6, 13.2, 17.4, 64.2, 50.6, 29.4, 40.4}

mote1985 [20]

Answer:

The lower quartile is 23.4

Step-by-step explanation:

The given data are;

47.2, 33.8, 43, 62, 5.8, 9, 61.4, 30.8, 68.2, 51.6, 13.2, 17.4, 64.2, 50.6, 29.4, 40.4

Rearranging the data, we have;

5.8, 9, 13.2, 17.4, 29.4, 30.8, 33.8, 40.4, 43, 47.2, 50.6, 51.6, 61.4, 62, 64.2, 68.2

The lower quartile, Q₁, is the (n + 1)/4 th term which is (16 +1)/4 = 4.25th term

However since we have an even set of numbers, we place a separator at the middle and we look for the median of the left half as follows

5.8, 9, 13.2, 17.4, 29.4, 30.8, 33.8, 40.4║ 43, 47.2, 50.6, 51.6, 61.4, 62, 64.2, 68.2

We have two numbers (17.4 + 29.4) at the median of the left set of numbers, we find the average of the two numbers to get the lower quartile

The lower quartile is therefore = (17.4 + 29.4)/2 = 23.4.

3 0

3 years ago

(2,7); m = -4<br> What is the equation in point-slope form

quester [9]

Answer:

where m is the slope and b is your y intercept

your equation is y = 2/7(x) - 12

Step-by-step explanation:

3 0

3 years ago