Which of the following cannot be solved using nPr?

Mathematics

1 answer:

likoan [24]3 years ago

6 0

Answer:

permutations of the letters of the word "PERMUTATION"

Step-by-step explanation:

Thats cause the word has two t's and some permutations are going to be the same, you have to substract some to get the actual answer.

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A(x, 1), B(5,3) and C(4,-3) are the vertices of triangle ABC. If AB=AC, find the value of x

Molodets [167]

$\\ \rm\longmapsto AB=AC$

$\\ \rm\longmapsto \sqrt{(x-5)^2+(1-5)^2}=\sqrt{(x-4)^2+(1+3)^2}$

$\\ \rm\longmapsto (x-5)^2+(-2)^2=(x-4)^2+4^2$

$\\ \rm\longmapsto (x-5)^2+4=(x-4)^2+16$

$\\ \rm\longmapsto (x-5)^2-(x-4)^2=16-4=12$

$\\ \rm\longmapsto x^2-10x+25-x^2+8x-16=12$

$\\ \rm\longmapsto -2x+9=12$

$\\ \rm\longmapsto -2x=12-9=3$

$\\ \rm\longmapsto x=\dfrac{3}{-2}=-1.5$

5 0

3 years ago

Read 2 more answers

Help please i really need help

Darya [45]

The answer is Table 4.

4 0

3 years ago

Read 2 more answers

Whoever can answer this will get brainlyest

azamat

Answer:

The proportion is $\frac{35}{108}$ = $\frac{x}{84}$ , and the length of the unknown side is $\frac{245}{9}$ or 27.22 approximately rounded to the nearest hundredth.

Step-by-step explanation:

Since the triangles are similar, the proportion of corresponding sides are equal. The pairs of corresponding sides in these triangles which we'll use to solve it are LK, KE, MK, and KF. LK and KE are corresponding sides, and their proportion is $\frac{35}{108}$ . MK and KF are corresponding sides, and their proportion is $\frac{x}{84}$ in which x represents the missing side. The proportions are equal, so $\frac{35}{108}$ = $\frac{x}{84}$ . Multiply both sides by 84 to isolate the variable, and you'll get $x = \frac{35*84}{108}$ , which is $\frac{2940}{108}$ or $\frac{245}{9}$ .