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3 years ago

Through: (-1,4), perpendicular to y = x

Mathematics

1 answer:

Law Incorporation [45]3 years ago

6 0

Answer:

y = -x + 3

Step-by-step explanation:

I graphed the equation on the graph below to show you that it goes through (-1,4) and is perpendicular to y = x.

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PLS ANSWER

satela [25.4K]

We need the graph in order to answer your questions :3

3 0

4 years ago

Read 2 more answers

You order a breakfast that costs $10.25 and a coffee that costs $3.45. You leave a 02% tip and the sales tax is 9.5%. What is th

Rasek [7]

Answer: the total cost of the meal is

$17.7415

Step-by-step explanation:

The original cost of the breakfast $10.25 and the original cost of the coffee is $3.45. This means that the total cost of the breakfast and the coffee was

10.25 + 3.45 = $13.7

You leave a 20% tip. This means that the amount of tip that you left is

20/100 × 13.7 = 0.2 × 13.7 = $2.74

The sales tax is 9.5%. This means that the amount of sales tax that you paid is

9.5/100 × 13.7 = 0.095 × 13.7 = $1.3015

Therefore, the total cost of the meal would be

13.7 + 2.74 + 1.3015 = $17.7415

7 0

3 years ago

Trapezoid ABCD is graphed in a coordinate plane.

Ann [662]

Answer:

Step-by-step explanation:

he coordinates of the vertices of the trapezoid ABCD are:

A=(-5,-2)=(xa,ya)→xa=-5, ya=-2

B=(-1,2)=(xb,yb)→xb=-1, yb=2

C=(0,-1)=(xc,yc)→xc=0, yc=-1

D=(-2,-3)=(xd,yd)→xd=-2, yd=-3

yi x(i+1) xi yi xi y(i+1)

-5 -2

(-2)(-1)=2 -1 2 (-5)(2)=-10

(2)(0)=0 0 -1 (-1)(-1)=1

(-1)(-2)=2 -2 -3 (0)(-3)=0

(-3)(-5)=15 -5 -2 (-2)(-2)=4

S1=-10+1+0+4→S1=-5

S2=2+0+2+15→S2=19

Area: A=(1/2) Absolute value (S1-S2)

A=(1/2) Absolute value (-5-19)

A=(1/2) Absolute value (-24)

A=(1/2) (24)

A=24/2

A=12

The area of the trapezoid is 12 square units

8 0

3 years ago

What is the probability that a five-card poker hand contains exactly one ace?.

spin [16.1K]

The probability of selecting exactly one ace is its likelihood

The probability that a five-card poker hand contains exactly one ace is 29.95%

<h3>How to determine the probability?</h3>

There are 4 aces in a standard deck of 52 cards.

The probability of selecting an ace would be:

p = 4/52

Also, there are 48 non-ace cards in the standard deck

So, the probability of selecting a non-ace after an ace has been selected is:

p = 48/51

The probability of selecting a non-ace up to the fifth selection are:

After two cards have been selected is: 47/50.
After three cards have been selected is: 46/49.
After four cards have been selected is: 45/48.

The required probability is then calculated as:

P(1 Ace) = n * (4/52) * (48/51) * (47/50) * (46/49) * (45/48)

Where n is the number of cards i.e. 5

So, we have:

P(1 Ace) = 5 * (4/52) * (48/51) * (47/50) * (46/49) * (45/48)

Evaluate

P(1 Ace) = 0.2995

Express as percentage

P(1 Ace) = 29.95%

Hence, the probability that a five-card poker hand contains exactly one ace is 29.95%