Find the slope given A(1, -1) B(-2, 1)

Answers

Answer 1
Answer:

Answer:-2 /3

Step-by-step explanation: 1-(-1)/-2-1

1+1/-3

2/-3

-2/3


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Is 4 a solution to the equation 5+x=10? Explain.

You have a piggy bank containing a total of 106 coins in dimes and quarters. If the piggy bank contains $17.05, how many dimes are there in the piggy bank? There are how many dimes in the piggy bank.

Answers

Answer:

63 dimes

Step-by-step explanation:

Set up a system of equations where d is the number of dimes and q is the number of quarters:

d + q = 106

0.1d + 0.25q = 17.05

Solve by elimination by multiplying the top equation by -0.25 to eliminate q:

-0.25d - 0.25q = -26.5

0.1d + 0.25q = 17.05

Add together and solve for d:

-0.15d = -9.45

d = 63

So, there were 63 dimes in the piggy bank

Q # 8 please solve the question

Answers

Let the two numbers be x and y

Their sum is 20, so we can write
x + y = 20

Their difference is 14, so we can write:
x- y = 14


Adding the two equations, we get:

2x = 34
x = 17

Using the value of x, in first equation, we get:

17 + y = 20
so,
y = 3

Thus the two numbers are 17 and 3.

So, option a is the correct answer
For this case we have the following system of equations:
 x + y = 20
 x-y = 14
 Where,
 x: real number
 y: real number
 Solving the system we have:
 x = 17
 y = 3
 Therefore, the numbers are:
 17 and 3
 Answer:
 
17 and 3
 
option 1

Weights of babies at the local community hospital have a distribution that is approximately normal with a mean weight of 7.43 pounds and a standard deviation of 1.25 pounds. A premature baby can be classified as being less than 5.51 pounds. A. Find the probability of a randomly selected baby weighing less than 5.51 pounds. B. If 25 babies are randomly selected, what is the probability that their weight will be less than 5.51 pounds?

Answers

Answer:

Step-by-step explanation:

Hope this helped

Can someone plz help me understand this

Answers

Answer:

The length of the guy wire is 17ft.

Step-by-step explanation:

c = \sqrt{a^(2)+b^(2) }

a = 15ft

b = 8ft

c = \sqrt{15^(2) + 8^(2) }

c = √(225 + 64)

c = √(289)

c = 17

The length of the guy wire is 17ft.

Answer:

17

Step-by-step explanation:

c=15×15+8×8

c=225+64

c=289=17

Decide whether enough information is given to prove that the triangles are congruent using the SAS congruence theorem. If so, write a proof. If not, explain why(Questions 7 and 8)

Answers

Answer: *for 8* Yes, It is congruent by SAS.

Step-by-step explanation:

Since we know that LM and NM are congruent, and that angles LMP and NMP are congruent, then all we need to do is prove that MP is congruent to MP, and we can do that by saying that MP is congruent to MP using the reflexive property.

Final answer:

The SAS congruence theorem states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Explanation:

The SAS congruence theorem states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

To determine if the given triangles are congruent using the SAS congruence theorem, we need to check if the corresponding sides and the included angles are congruent. If they are, we can write a proof.

Unfortunately, you have not provided the information about the sides and angles of the given triangles. Please provide the information so that we can determine if the triangles are congruent using the SAS congruence theorem.

Learn more about Congruent triangles here:

brainly.com/question/31700817

#SPJ2

To make the cone, melted chocolate is pumped onto a huge cold plate at a rate of 2 ft3/sec. Due to the low temperature, the chocolate forms the shape of a cone as it solidifies quickly. If the height is always equal to the diameter as the cone is formed, how fast is the height of the cone changing when it is 5 ft high?

Answers

Answer:

The height of cone is increasing at a rate 0.102 feet per second.

Step-by-step explanation:

We are given the following in the question:

(dV)/(dt) = 2\text{ cubic feet per second}

Instant height = 5 feet

The height of the cone is always equal to the diameter.

Volume of cone =

V = (1)/(3)\pi (d^2)/(4)h\n\n\text{where d is the diameter and h is the height of cone}\n\nV = (1)/(12)\pi h^3

Rate of change of volume =

(dV)/(dt) = (d)/(dt)((1)/(12)\pi h^3)\n\n(dV)/(dt) =(\pi)/(4)h^2(dh)/(dt)

Putting all the values, we get,

2=(\pi)/(4)(5)^2(dh)/(dt)\n\n\Rightarrow (dh)/(dt) = (8)/(25\pi) =0.102

Thus, the height of cone is increasing at a rate 0.102 feet per second.