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3 years ago

Find the coordinates of d if e is the midpoint of CD for C(-3, 4) and E(0, 1).

Mathematics

1 answer:

Yanka [14]3 years ago

8 0

Answer:

D(3;-2).

Step-by-step explanation:

1) $X_D=2*X_E-X_C;\\Y_D=2*Y_E-X_C.$

2) according to the formulas above:

$X_D=2*0+3=3;\\Y_D=2*1-4=-2.$

3) finally, D(3;-2).

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The value (in cents) of the change in a purse that contains twice as many nickels as pennies, five more dimes than nickels, and

nexus9112 [7]

Value of the pursue in cents: $131p+175$

Step-by-step explanation:

Let's call:

$p$ = number of pennies

The problem tells us that the pursue contains twice as many nickels as pennies, so the number of nickels is

$n=2p$

Also, the pursue contains five more dimes than nickels, so the number of dimes is

$d=n+5=2p+5$

And finally, the pursue contains as many quarters as dimes and nickels combained, so the number of quarters is

$q=d+n=(2p+5)+2p=4p+5$

The value of each type of coin is:

Penny: 1 cent

Nickel: 5 cents

Dime: 10 cents

Quarter: 25 cents

So, the total value of the pursue in cents is:

$1p+5n+10d+25q$

And substituting,

$=p+5(2p)+10(2p+5)+25(4p+5)=\\p+10p+20p+50+100p+125=\\131p+175$

So, this is the value of the change in the pursue in cents.

Learn more about expressions:

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#LearnwithBrainly

8 0

3 years ago

Read 2 more answers

I need help with the slope of this line.

GrogVix [38]

The slope is 0.

The formula to find the slope is y2-y1 over x2-x1. If you plug in your numbers, you should have 5-5 over 9-10. Subtract this and you will get your slope!

8 0

3 years ago

Svetradugi [14.3K]

C is the answer for the pic

4 0

3 years ago

30( 4p + 6c+ 12p + 40) What property can be used to simplify the expressions

rjkz [21]

Distributive Property

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3 years ago

Read 2 more answers

If 6 components are drawn at random from the container, the probability that at least 4 are not defective is . If 8 components a

sammy [17]

There is some inforrmation that is missing in this question. It should read:

A container holds 50 electronic components, of which 10 are defective. If 6 components are drawn at random from the container, the probability that at least 4 are not defective is . If 8 components are drawn at random from the container, the probability that exactly 3 of them are defective is .

Answers
Part 1. 0.02
Part 2. 0.0375

Explanation
The probability is a chance of an event happening. It is calculated as;
probability = (Number of favourable outcome)/(Number of available outcome)

Part 1
6 are chosen at random. If 4 are not defective, then 2 are defective.
P(at least 4 are not defective) = 4/40 × 2/10
= 1/10 ×1/5
= 1/50
= 0.02

Part 2
8 are chosen at random. If 3 are defective, the 5 are not defective.
P(3 are defective) = 3/40 × 5/10
= 15/400
= 3/80
= 0.0375

4 0

3 years ago