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In-s [12.5K]
4 years ago
11

What is the exact distance between the point (-2,-1) and the point (6,8)

Mathematics
2 answers:
RUDIKE [14]4 years ago
6 0
The answer is B. Use distance formula...

d =  \sqrt{(6 + 2) {}^{2}  + (8 + 1) {}^{2} }
gavmur [86]4 years ago
5 0
I think he is right because he is
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The number 1,254 is divisible by all of the following, except _____.<br><br> 6<br> 2<br> 3<br> 9
Orlov [11]

Answer:

The number 1,254 is divisible by all of the following, except 9

4 0
3 years ago
Two locomotives approach each other on parallel tracks. Each has a speed of 87 km/hr with respect to the ground. If they are ini
sergiy2304 [10]

Answer:

9.3

Step-by-step explanation:

if both travel at same speed they will take equal distance and time to reach the middle and collide.

hence, 27/2 =13.5km

speed=distance/time

time = distance/speed

time= 13.5/87 = 0.15517mm hr

0.15517×60 = 9.31minutes

4 0
4 years ago
Josie sold 790 tickets to a local car show for a total of $4,390.00. A ticket for a Child costs $4.00 and adult ticket costs $7.
Papessa [141]

Let's define the following variables first.

A = number of tickets sold for adults

C = number of tickets sold for children

From the question, we can say that or form the following equations:

1. A + C = 790 tickets

2. $7A + $4C = $4, 390

The first equation can also be written as A = 790 - C. We can use this equation and replace "A" in the second equation.

7(790-C)+4c=4,390

From that, we can solve "C" by solving the equation formed above.

\begin{gathered} \text{Distribute 7 to the terms inside the parenthesis.} \\ 7(790)-7(C)+4C=4,390 \\ 5,530-7C+4C=4,390 \\ \text{Subtract 5,530 on both sides of the equation.} \\ -7C+4C=-1140 \\ -3C=-1140 \\ \text{Divide -3 on both sides.} \\ C=380 \end{gathered}

Therefore, 380 tickets for children were sold.

Since there are 790 tickets in total that are sold and 380 tickets for children were sold, we can say that 410 tickets for adult was sold.

\begin{gathered} A=790-C \\ A=790-380 \\ A=410 \end{gathered}

3 0
1 year ago
Get the general term for the sequence being your t3 = 11 and the t20 = 244.2
marusya05 [52]

Answer:

nth term = t_{n} = 7.639(1.2)^{n - 1}

Step-by-step explanation:

Let us assume that the given sequence is a G.P.

Now, if the first term of the G.P. is a and the common ratio is r, then

Third term = t_{3} = ar^{2} = 11 .......... (1) and  

20th term = t_{20} = ar^{19} = 244.2 ........... (2)

Now, dividing equation (2) with equation (1) we get

\frac{ar^{19} }{ar^{2} } = \frac{244.2}{11} = 22.2

⇒ r^{17} = 22.2

⇒ r = 1.2.

Hence, from equation (1) we get

a(1.2)² = 11

⇒ a = 7.639 (Approx.)

Therefore, the general term of the sequence i.e. nth term = t_{n} = 7.639(1.2)^{n - 1} (Answer)

5 0
3 years ago
The combined area of a pair of congruent rectangles can be represented, in square units, by the expression 18y^2-818y 2 −8. The
sveta [45]

Answer:

Perimeter = 12y

Step-by-step explanation:

Given

Area = 18y^2 - 8 -- two rectangles

Required

Determine the perimeter of one of the rectangles

First, calculate the area (A) of 1 rectangle

A =\frac{1}{2}Area

A =\frac{1}{2}(18y^2 - 8)

A =9y^2 - 4

Express as difference of two squares

A =(3y - 2)(3y+2)

Area is calculated as:

A = Length * Width

So, by comparison:

Length = 3y - 2

Width = 3y + 2

The perimeter is:

Perimeter = 2 *(Length + Width)

Perimeter = 2 *(3y-2+3y+2)

Collect Like Terms

Perimeter = 2 *(3y+3y-2+2)

Perimeter = 2 *(6y)

Perimeter = 12y

8 0
3 years ago
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