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4 years ago

O

Mathematics

2 answers:

VikaD [51]4 years ago

7 0

Answer:

The rule for the transformation is $(x, y)\rightarrow (-x, -y)$ .

The coordinates of L' are $(-2,-2)$ .

The coordinates of N' are $(-1,-6)$ .

Step-by-step explanation:

Given:

Vertices of a triangle are: $L(2,2),M(4,4)\textrm{ and }N(1,6)$

The rotation is 180 degree.

So, the rule for 180 degree rotation is:

$(x,y)\rightarrow (-x,-y)$

Therefore, the new co-ordinates of the vertices are:

$L(2,2)\rightarrow L'(-2,-2)\\M(4,4)\rightarrow M'(-4,-4)\\N(1,6)\rightarrow N'(-1,-6)$

So, the correct options are:

The rule for the transformation is $(x, y)\rightarrow (-x, -y)$ .

The coordinates of L' are $(-2,-2)$ .

The coordinates of N' are $(-1,-6)$ .

amm18124 years ago

4 0

Answer:

abe

Step-by-step explanation:

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a man owned 75 shares of stock worth $50 each the corporation declared a dividend of 8% payable in stock how many shares did he

Arturiano [62]

Total number of shares owned is 75 shares
value of each share=$50
value of 50 shares will be:
75*50=$3750
the dividend earned
8/100×3750
=$300

Answer: $300

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3 years ago

We have a box with eight green marbles, five red marbles, and seven blue marbles. We choose three marbles from the box at random

Salsk061 [2.6K]

Answer: 0.089

Step-by-step explanation:

Number of combinations of n things taking r at a time :-

$^nC_r=\dfrac{n!}{r!(n-r)!}$

Given : A box has eight green marbles, five red marbles, and seven blue marbles.

Total marbles = 5+8+7=20

We choose three marbles from the box at random without looking.

Number of ways to choose 3 marbles with same color :-

$^8C_3+\ ^5C_3+ ^7C_3\\\\=\dfrac{8!}{3!(8-3)!}+\dfrac{5!}{3!(5-3)!}+\dfrac{7!}{3!(7-3)!}\\\\=56+10+35=101$ (1)

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$\dfrac{20!}{3!(20-3)!}=1140$ (2)

Now, the required probability (divide (1) by (2)):-

$\dfrac{101}{1140}=0.0885964912281\approx0.089$

Hence, the required probability : 0.089

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3 years ago

What to do if quadratic equation has a negative spuare root?

alex41 [277]

If the negative square root is found to be one of your solutions, then that is indicative of a pair of imaginary roots (the imaginary i). According to the conjugate rule, if you have one solution that is imaginary, you will have another but with the opposite sign. For example, if a solution to a quadratic is found to be 2 - i, then its conjugate, 2 + i is also a solution. They will ALWAYS go in pairs. Same thing with radical solutions. If one solution is found to be $3+\sqrt{5}$

then $3-\sqrt{5}$ will also be a solution.

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4 years ago

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mr_godi [17]

Answer:

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If r= 2 and h=2 than V=Pi*2^2*2 V=3.14*4*2

Step-by-step explanation:

Let me solve the problem!

a) r=3 h=10 than V=Pi*3^2*10 V=Pi*9*10 V=90Pi

When we increase the raduis by 1

b)r=4 h=10

V=Pi*4^2*10 so V=Pi*16*10 so V=160Pi

c)r=3 h=11

V=Pi*3^2*11 so V=Pi*9*11 so V=99Pi

It meas that when the radius is increased by 1inc the volume is greater than when you increase the height by 1.

Thank!

6 0

3 years ago

suppose there were 2 types of tickets to a show . advanced and same day adviced cost $30 . same day $25. for 1 performance 45 ti

VikaD [51]

30 x 30 + 25 x 15 = $1275

So,
30 tickets were sold from the $30 type, while 15 tickets were sold from the $25 type!

7 0

3 years ago