Answer:
(1) First pair; (2, 3), (7, 3), d₁ = 5
(2) Second pair; (-2, 5), (-2, -3), d₂ = 8
(3) Third pair; (-8, 5), (-2, 5), d₃ = 6
(4) Fourth pair; (-9, 1), (6, 1), d₄ = 15
Step-by-step explanation:
Given pair of points;
(1) (2, 3), (7, 3)
(2) (-2, 5), (-2, -3)
(3) (-8, 5), (-2, 5)
(4) ) (-9, 1), (6, 1)
The distance between each pair of points is calculated as follows;
[tex]d = \sqrt{(y_2-y_1)^2 + (x_2-x_1)^2}[/tex]
(1) first pair; (2, 3), (7, 3)
[tex]d_1 = \sqrt{(3-3)^2 + (7-2)^2} \\\\d_1 = 5[/tex]
(2) second pair; (-2, 5), (-2, -3)
[tex]d_2 = \sqrt{(-3-5)^2 + (-2-(-2))^2}\\\\d_2 = \sqrt{(-3-5)^2 + (-2+2)^2} \\\\d_2 = 8[/tex]
(3) Third pair; (-8, 5), (-2, 5)
[tex]d_3 = \sqrt{(5-5)^2 + (-2-(-8))^2}\\\\d_3 = \sqrt{(5-5)^2 + (-2+8)^2} \\\\d_3 = 6[/tex]
(4) Fourth pair; (-9, 1), (6, 1)
[tex]d_4 = \sqrt{(1-1)^2 + (6-(-9))^2}\\\\d_4 = \sqrt{(1-1)^2 + (6+9)^2} \\\\d_4 = 15[/tex]
I would also appreciate anyone that can help w this :)
Answer:
Step-by-step explanation:
Each term is 4 more than the preceding term.
Common difference d = 4
nth term = a₁ + (n-1)d = -6 + (n-1)4
a₁₀ = -6 + 9⋅4 = 30
In the year 2006, a person bought a new car for $24000. For each consecutive year after that, the value of the car depreciated by 10%. How much would the car be worth in the year 2010, to the nearest hundred dollars?
Answer:
$15,746.400
Step-by-step explanation:
The computation of the car value in the year 2010 is shown below:
Since the new car brought in the year of 2006 at $24,000
And, it would be depreciation by 10%
So, in the year 2010 the car value would be
= $24,000 × (1 - 0.10)^4
= $24,000 × 0.9^4
= $15,746.400
What is the simplified expression for ......
Answer:
a. 6^1
Step-by-step explanation:
i hope this helps :)
Answer:
B. 6^2Step-by-step explanation:
6^7 / 6^5 = 6 ^2
Hope that helps!
A certain bacteria can double in 6 hours. How long will it
take the bacteria to increase from 20 to 140? (Hint: First find
the constant k)
Answer:
it can go to 160 on in 18 hours so the the answer could be 26 hours
I really need the answer to this so I can pass
Answer:
b
Step-by-step explanation:
The cafeteria is set up for a luncheon. There are 5 rows of tables. There are 5 tables in each row. Each table has a centerpiece with 5 vases. In each vase, there are 5 flowers. Which shows the total number of flowers in the cafeteria?
what is the perimeter?
Answer:
40 yards
Step-by-step explanation:
I think this is correct
Answer:
perimeter is the length of the outside shape
(Absolute value inequalities) 50 points!
-6|4p+2|+8 > -34
Answer
p>5/4 or p<-9/4
Step-by-step explanation:
1. first isolate the absolute value by subtracting 8 and then dividing by -6
2. you then split the absolute value inequality into 4p+2>7 and 4p+2<-7
3. When you solve those, you get p>5/4 and p< -9/4
Answer:
[tex] - \frac{9}{4} < p < \frac{5}{4} [/tex]
Step-by-step explanation:
1) Subtract 8 from both sides.
[tex] - 6 |4p + 2| > - 34 -8[/tex]
2) Simplify -34 - 8 to -42.
[tex] - 6 |4p + 2| > - 42[/tex]
3) Divide both sides by -6.
[tex] |4p + 2| < \frac{ - 42}{ - 6} [/tex]
4) Two negative numbers makes a positive.
[tex] |4p + 2| < \frac{42}{6} [/tex]
5) Simplify 42/6 to 7.
[tex] |4p + 2| < 7[/tex]
6) Rewrite the inequality without the absolute value.
[tex] - 7 < 4p + 2 < 7[/tex]
7) Subtract 2 from the whole equation.
[tex] - 7 - 2 < 4p < 7 - 2[/tex]
8) Simplify.
[tex] - 9 < 4p < 5[/tex]
9) Divide the whole equation by 4.
[tex] - \frac{9}{4} < p < \frac{5}{4} [/tex]
Therefor, the answer is - 9/4 < p < 5/4.
plss. pa answers ?
thanks po
Answer:
Graph 3Line starting at x = -2
Domain: x ≥ -2Range: y ≥ 0Graph 4Vertical line
Domain: x = 3Range: y = any real numberGraph 5Quadratic function with negative leading coefficient and max value of 3
Domain: x = any real numberRange: y ≤ 3Graph 6Curve with non-negative domain and min value of -2
Domain: x ≥ 0Range: y ≥ -2Graph 7Line with no restriction
Domain: x = any real numberRange: y = any real numberGraph 8Quadratic function with positive leading coefficient and min value of 4
Domain: x = any real numberRange: y ≥ 4Graph 9Parabola with restriction at x = -4
Domain: x = any real number except -4Range: y = any real numberGraph 10Square root function with star point (2, 0)
Domain: x ≥ 2Range: y ≥ 05(y+ 2/5) = -13
shcngwhwgrfwfbbuvdyvwgoeyvhogfqef
The length of a guys wire supporting a cell tower is 120 meters. The guy wire is anchored to the ground at a distance of 80 meters from the base of the tower . To the nearest hundredth of a meter , how tall is the tower ?
Answer: 89.4427
Step-by-step explanation: I apologize if I am wrong; I used Pythagorean Thyreom, and I used the formula a=√c^2-b^2 since we are solving for side a.
a=√120^2−80^2
a=√14400−6400
a=√8000
a=89.4427
I hope this is what you are looking for :)
Pythagoras is the sum of the square of two sides is equal to the square of the longest side. Then the height of the tower is 89.44 m.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
The length of a guy's wire supporting a cell tower is 120 meters.
The guy wire is anchored to the ground at a distance of 80 meters from the base of the tower.
We know that the Pythagoras theorem.
[tex]\rm H^2 = P^2 + B^2[/tex]
We have
H = 120 m
B = 80 m
Then by the Pythagoras theorem, we have
[tex]\rm P = \sqrt{H^2 - B^2}\\\\P = \sqrt{120^2 - 80^2}\\\\P = \sqrt{14400 - 6400}\\\\P = \sqrt{8000} = 89.44[/tex]
Thus, the height of the tower is 89.44 m.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
In AVWX, v = 21 cm, w = 64 cm and X=23°. Find the length of x, to the nearest
centimeter.
Answer:45cm
Step-by-step explanation:delta
Diego had 3 letters D,E, and N. How many orders/sets can Diego create with the letters?
3
9
6
12
Answer:
6
Step-by-step explanation:
DEN
DNE
NDE
NED
END
EDN
A pond contains 3,000,000 liters of water. How is this number written in scientific notations?
So bassically I have to write this as it is too short, but the answer is = 3 x 10^7
The given number 3,000,000 written in scientific notations is [tex]3\times10^6[/tex].
Given that, a pond contains 3,000,000 liters of water.
What is scientific notation?Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.57×10³.
The given number written in scientific notations is
3,000,000 = [tex]3\times10^6[/tex]
Therefore, the given number 3,000,000 written in scientific notations is [tex]3\times10^6[/tex].
To learn more about the Scientific notation visit:
https://brainly.com/question/18073768.
#SPJ2
solve for 65+5x and please show work :)
Answer:
If it were supposed to be a factor, 15 ( 3 + x )
Step-by-step explanation:
5 ( 13 + x )
5 x 13 = 65
5 times x = 5x
So you'd add them both,
65 + 5x
I don't think you can get an exact answer for it.
Also in order for me to solve for x, if that's what you are trying to find. You need to give me a (y) to make it into a slope intercept form.
here is another math thingy
Answer:
17 mi
Step-by-step explanation:
170/10=17
Answer:
17
Step-by-step explanation:
170 divided by 10 = 17
Double check: 17 x 10 = 170 (area).
Hope this helps! If it did, please give brainliest! It would help a lot! Thanks! :D
Can someone pls help me with this?
Answer:
14 is A
15 is B
Step-by-step explanation:
14 . the answer is a because first off the slope is negative so we can immediately eliminate B and D second of all the slope is 1/2 so we can eliminate D and get that the answer has to be a
15. answer is B for this one because first of all the slope is negative so we can immediately eliminate A and c and second of all the y-intercept would be 120 because 90 is what x=1 so we would have to add 30 to get what y would equal when x=0 if that makes sense
What are the common factors of 18 and 27?
Answer:
1, 2, 3, 9
Step-by-step explanation:
They are all factors of 18 and 27.
Answer:
The factors of 18 are 1, 2, 3, 6, 9, 18. The factors of 27 are 1, 3, 9, 27. The common factors of 18 and 27 are 1, 3, and 9.
Step-by-step explanation:
Tell whether the rates are equivalent. Justify your answer.
60 centimeters every 2.5 years
30 centimeters every 15 months10
Answer:
30 centimeters every 15 months is correct the other one isnt.
Step-by-step explanation:
The rates are equivalent, and we can justify this by converting the time units to make a valid comparison.
To determine if the rates are equivalent, we need to compare the ratios of centimeters to time between the two rates.
Rate 1: 60 centimeters every 2.5 years
Rate 2: 30 centimeters every 15 months
Let's convert both rates to a common time unit to make a valid comparison. We can convert years to months or months to years.
Converting Rate 1:
2.5 years * 12 months/year = 30 months
Rate 1 becomes 60 centimeters every 30 months.
Now, let's compare the rates:
Rate 1: 60 centimeters every 30 months
Rate 2: 30 centimeters every 15 months
The rates are equivalent because the ratios of centimeters to time are the same for both rates. In both cases, the ratio is 2 centimeters per month.
Therefore, the rates are equivalent, and we can justify this by converting the time units to make a valid comparison.
To know more about "rates." here
https://brainly.com/question/29451175
#SPJ2
Solve the inequality. Graph the solution.
z−2−6≤−2
Answer:
z ≤ 6
Step-by-step explanation:
z − 2 − 6 ≤ −2
z - 8 ≤ −2
z ≤ -2 + 8
z ≤ 6
≤ means it will be a CLOSED circle and go in the LEFT direction starting AT 6
Meteorology: The temperature is 8 degrees. It is expected to fall 5 degrees each hour for the next several hours. In how many hours will the temperature be-7 degrees
Answer:
Step-by-step explanation:
8 - 5 = 3+7 = 10 Temperature
Evaluate the expression when y = 6 and x = 9
x+8y
Answer:
57
Step-by-step explanation:
9+8(6)
9+48
57
Answer:
57
Step-by-step explanation:
8*6=48
9+48=57
find the value of given expression
[tex] \sqrt{66 + 15} [/tex]
Answer:
9
Step-by-step explanation:
Hope this helps, let me know if im correct
Answer:
√{66+15}=√81=√9²=±9 is your answer
Question 6
An environmental group volunteers to pick up trash along a road that is
Brady's claim correct?
milelong. The volunteers divide the road to 4 sections adams that each section of the roads
5
4
Yes How
Answer:
23
Step-by-step explanation:
is the answer to the problem
What is the next term in the sequence?
-3, -7/2, -4, -9/2.....
4. If the measures of angles A and B of triangle
ABC are each 2x + 5 and the measure of angle
C is 3x – 5, what is the measure of angle exterior
to angle A?
Answer:
5x
Step-by-step explanation:
. If the measures of angles A and B of triangle
ABC are each 2x + 5 and the measure of angle
C is 3x – 5, what is the measure of angle exterior
to angle A?
Using the theorem
The sum of interior angle of a triangle is equal to its exterior
Given the interior angles 2x+5 and 3x-5
Sum= 2x+5+3x-5
Sum = 2x+3x+5-5
Sum = 5x+0
Sum = 5x
Hence the measure of the exterior angle is 5x
Mom's car is 180 inches long. Dad's truck is 75% longer than mom's car. How long is the truck?
Answer:
315 inches
Step-by-step explanation:
180(1.75) = 315
Answer:
315
Step-by-step explanation:
Guided Practice
Use the formula to estimate the temperature when n = 120 chirps/min. Round to the nearest whole number, if necessary.
The forumla F = n/4 + 37 estimates the temperature F in degrees Fahrenheit when crickes chirp n times per minute.
A.
157°F
B.
67°F
C.
39.25°F
Answer:
B.
67°F
Step-by-step explanation:
I'M SORRY BUT I CAN'T FIND IT ANYWHERE AND I HAVE NO IDEA WHAT IT IS
ahhhhhhhhhh
steps for gcf of 40x, 60x
Answer:
20x
Step-by-step explanation:
1) Identify commonalities in the numbers at hand (x + 40 divisible by 1, 2, 4, 5, 8, 10, 20, 40 and 60 divisible by 1,2,3,4,5,6,10,12,15,20,30,60) overlap is x and 1,2,4,5,10,20) 20 is the highest factor and x is the only factor.
2) put them together GCF: 20x
HELP ASAP
Expand the expression: 3(n+4)
Multiply 3 and n, and 3 and 4.
3n+12
---
hope it helps