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3 years ago

What is the distance between the points (−7, 1) and (−7, −5) on the coordinate plane?

Mathematics

1 answer:

4vir4ik [10]3 years ago

6 0

Answer:

$\displaystyle d = 6$

General Formulas and Concepts:
Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinate Planes

Coordinates (x, y)

Algebra II

Distance Formula: $\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Step-by-step explanation:

Step 1: Define

Identify.

Point (-7, 1)

Point (-7, -5)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d.

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(-7 - -7)^2 + (-5 - 1)^2}$
[Order of Operations] Evaluate: $\displaystyle d = 6$

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Your sock drawer has two white socks, four brown socks, and two black socks. You randomly pick a sock and put it on your left fo

zmey [24]

Answer:

The probability of this occurring is 1/7

Step-by-step explanation:

Okay, here is a probability question.

From the question, we can identify the following;

Total number of socks = 2 + 4 + 2 = 8 socks

Since we are not given the order in which the socks was worn, we can assume any order.

Let’s say the right leg socks was worn first.

From the question, the socks on the right leg is a brown one.

So now let’s calculate the probability of selecting a brown socks out of the mix

That would be ;

number of brown socks/ total number of socks = 4/8 = 1/2

Now, for the left foot, we are having white sock here.

Kindly recall that since we already have a sock on the right foot, we have 7 socks left to pick from.

Now we need the probability of picking a white sock from the total 7. That would be ; 2/7

So the probability of both action occurring is simply the product of both probabilities and that is ;

1/2 * 2/7 = 1/7

6 0

3 years ago

A construction zone on Interstate 15 has a speed limit of 40 mph. The speeds of vehicles passing through this construction zone

monitta

Answer:

a. The percentage of vehicles who pass through this construction zone who are exceeding the posted speed limit =90.82%

b. Percentage of vehicles travel through this construction zone with speeds between 50 mph and 55 mph= 2.28%

Step-by-step explanation:

We have to find

a) P(X>40)= 1- P(x=40)

Using the z statistic

Here

x= 40 mph

u= 44mph

σ= 3 mph

z=(40-44)/3=-1.33

From the z-table -1.67 = 0.9082

a) P(X>40)=

Probability exceeding the speed limit = 0.9082 = 90.82%

b) P(50<X<55)

Now

z1 = (50-44)/3 = 2

z2 = (55-44)/3= 3.67

Area for z>3.59 is almost equal to 1

From the z- table we get

P(55 < X < 60) = P((50-44)/3 < z < (55-44)/3)

= P(2 < z < 3.67)

= P(z<3.67) - P(z<2)

= 1 - 0.9772

= 0.0228

or 2.28%

3 0

3 years ago

Write a linear inequality to represent the information given. Shanley would like to give $5 gift cards and $7 teddy bears as par

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Answer:

154 is less than or equal to 5x+7y

Step-by-step explanation:

x = number of gift cards and y= number of teddy bears

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3 years ago

Can 11 , 27, 9 and 6 whats the number closest to 24 it can make?

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3 years ago

F(x) = 5x - 3 for x = -7

erastovalidia [21]

Answer:

Step-by-step explanation:

f(-7) = 5(-7) - 3 = -35 - 3 = -38

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4 years ago