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dangina [55]
3 years ago
13

You are graphing Square ABCDABCDA, B, C, D in the coordinate plane. The following are three of the vertices of the square: A(4,

-7), B(8, -7),A(4,−7),B(8,−7),A, left parenthesis, 4, comma, minus, 7, right parenthesis, comma, B, left parenthesis, 8, comma, minus, 7, right parenthesis, comma and C(8, -3)C(8,−3)C, left parenthesis, 8, comma, minus, 3, right parenthesis. What are the coordinates of point DDD? \large((left parenthesis , \large))right parenthesis
Mathematics
1 answer:
Kitty [74]3 years ago
3 0

Answer:

D(4,-3)

Step-by-step explanation:

Given three of the vertices of the square: A(4, -7), B(8, -7),C(8, -3)

Let the coordinate of the fourth vertex be D(x,y).

We know that diagonals of a square are perpendicular bisector. So, the midpoint of both diagonals is the same.

The diagonals are BD and AC

Midpoint of BD = Midpoint of AC

\left(\dfrac{8+x}{2},\dfrac{-7+y}{2}\right) =\left(\dfrac{4+8}{2},\dfrac{-7+(-3)}{2}\right)\\ \left(\dfrac{8+x}{2},\dfrac{y-7}{2}\right) =\left(\dfrac{12}{2},\dfrac{-10}{2}\right)\\ \left(\dfrac{8+x}{2},\dfrac{y-7}{2}\right) =\left(6,-5\right)\\$Therefore$:\\\dfrac{8+x}{2}=6\\8+x=12\\x=12-8\\x=4\\$Similarly$\\\dfrac{y-7}{2}=-5\\y-7=-5*2\\y-7=-10\\y=-10+7=-3

The coordinates of the fourth vertex is D(4,-3)

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BabaBlast [244]

Answer:

B.   35 milliliters,

Step-by-step explanation:

1 teaspoonful = 5 mls so the total volume of medicine

=  7 * 5

= 35 milliliters.

6 0
3 years ago
On a very hot summer day, 5% of the production employees at Midland States Steel are absent from work. The production employees
Ann [662]

Answer:

59.87% probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent

Step-by-step explanation:

For each employee, there are only two possible outcomes. Either they are absent, or they are not. The probability of an employee being absent is independent from other employees. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

5% of the production employees at Midland States Steel are absent from work.

This means that p = 0.05

What is the probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent

This is P(X = 0) when n = 10. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.05)^{0}.(0.95)^{10} = 0.5987

59.87% probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent

4 0
3 years ago
Pls help trigonometry ahhh
oksano4ka [1.4K]

Answer:

x = 6.928

Step-by-step explanation:

Since we don't know the hypotenuse, we will use tan

tanΘ = opposite/adjacent     (Θ = theta, which is basically the variable for an angle)

tan30° = x/12

to find x, multiply 12 to the other side

12tan30° = x            (plug this into a calculator)

x = 6.928

5 0
3 years ago
How many different triangles can you make with 14cm, 10cm and 50cm sides?
vovangra [49]

Answer:

You can make NO triangles.

When given 3 sides of a triangle, The longest side must be LESS than the sum of the other 2 sides.

Longest Side = 50 cm

50 is NOT less than 14 + 10, therefore, we have no triangle.


Step-by-step explanation:


8 0
3 years ago
3( 2p - 5) - 6p <br>need help please​
stellarik [79]

Answer:

-15

Step-by-step explanation:

We have the expression 3(2p - 5) - 6p and are asked to simplify.

Let's distribute, which is to multiply a number that is outside of a parenthesis bracket by the numbers inside the parenthesis.

3(2p - 5) - 6p

(3(2p) - 3(5)) - 6p

6p - 15 - 6p

Since you can only do changes to like terms and 15 and 6p are two different terms, we do 6p - 6p.

6p - 6p

0

Leaving us with -15.

8 0
3 years ago
Read 2 more answers
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