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Mekhanik [1.2K]

3 years ago

15

If numbers 1,2,3,4,5 are to be used in a five number code, how many different codes are possible if repetitions are not permitte

d

1 answer:

Alex73 [517]3 years ago

4 0

5x4x3x2x1=120 different codes possible
☺☺☺☺

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What is the equation of the line that passes through the point (-4,4) and has a<br> slope of -3

Arte-miy333 [17]

Answer: y-4=-3(x+4) or y=-3x-8

Step-by-step explanation:

To find the equation of the line with a given point and slope, we can fill them into the point-slope formula. The point-slope formula is y-y₁=m(x-x₁).

y-4=-3(x-(-4)) [multiply]

y-4=-3(x+4)

Another equation could be slope-intercept form. It is y=mx+b.

y-4=-3(x+4) [distribute]

y-4=-3x-12 [add both sides by 4]

y=-3x-8

Now, we know that the equation is y=-3x-8 or y-4=-3(x+4).

3 0

3 years ago

Angelina_Jolie [31]

Answer:

0.14

Step-by-step explanation:

From the question given above, the following data were obtained:

Grade A = 5

Grade B = 10

Grade C = 15

Grade D = 3

Grade F = 2

Sample space (S) = 35

Probability of getting grade A, P(A) =?

The probability that a student obtained a grade of A can be obtained as follow:

Probability of getting grade A, P(A) =

Event of A (nA) / Sample space, (nS)

P(A) = nA/nS

P(A) = 5/35

P(A) = 0.14

Thus, probability that a student obtained a grade of A is 0.14

6 0

3 years ago

Y/2*4-10/x+6 where x=5 and y=16

Sliva [168]

(16)/(2)*4-(10)/(5)+6= 36

6 0

3 years ago

*NO 194 39% 13:08 Pilih jawaban yang paling tepat Segitiga PQR dan segitiga XYZ 5 poin merupakan dua segitiga yang kongruen. Bes

Illusion [34]

Answer:

Option d. PQ = YZ

Step-by-step explanation:

<u><em>The question in English is</em></u>

Choose the most appropriate answer. The PQR triangle and the XYZ triangle are two congruent triangles. The angle P = the angle Y and PR = YX. Side pairs of the same length are ... a. PQ = XZ b. QR = YZ c. QR = XY d. PQ = YZ

we know that

If two triangles are congruent, then its corresponding sides and its corresponding angles are congruent

Corresponding sides are named using pairs of letters in the same position on either side of the congruence statement

so

we have that

$m\angle P=m\angle Y$

$PR=YX$

so

Triangle PQR is congruent with Triangle YZX

That means

<em><u>Corresponding angles</u></em>

$m\angle P=m\angle Y$

$m\angle Q=m\angle Z$

$m\angle R=m\angle X$

<u><em>Corresponding sides</em></u>

$PQ=YZ\\QR=ZX\\PR=YX$

8 0

3 years ago

What is the distance between the points (-4,0) and (-7, -14) ?

vlada-n [284]

Answer:

Step-by-step explanation:

(-4,0) ; (-7, -14)

$d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\ =\sqrt{(-7-[-4])^{2}+(-14-0)^{2}}\\\\ =\sqrt{(-7+4)^{2}+(-14)^{2}}\\\\=\sqrt{(-3)^{2}+(-14)^{2}}\\\\=\sqrt{9+196} \\\\=\sqrt{205} \\\\=14.3178$

7 0

3 years ago