Answer:
17 units
Step-by-step explanation:
Distance between points [tex](a,b)\,,\,(c,d)[/tex] is given by [tex]\sqrt{(c-a)^2+(d-b)^2}[/tex]
The trail starts at P(−2, 2) and goes to Q(5, 2).
Take [tex](a,b)=(-2,2)\,,\,(c,d)=(5,2)[/tex]
[tex]PQ=\sqrt{(5+2)^2+(2-2)^2}=\sqrt{7^2}=7[/tex] units
It goes from Q to R(5, −5)
Take [tex](a,b)=(5,2)\,,\,(c,d)=(5,-5)[/tex]
[tex]QR=\sqrt{(5-5)^2+(-5-2)^2}=\sqrt{(-7)^2}=7[/tex] units
It goes from R to S.
Take [tex](a,b)=(5,-5)\,,\,(c,d)=(8,-5)[/tex]
[tex]RS=\sqrt{(8-5)^2+(-5+5)^2}=\sqrt{3^2}=3[/tex] units
[tex]PQ+QR+RS=7+7+3=17[/tex] units
If f(x) = x2 – 2x and g(x) = 6x + 4, for which value of x does (f + g)(x) = 0?
-4
-2
2
4
Answer:
x = - 2
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
f(x) + g(x)
= x² - 2x + 6x + 4
= x² + 4x + 4
Equating to zero
x² + 4x + 4 = 0 ← left side is a perfect square
(x + 2)² = 0, thus
x + 2 = 0 ( subtract 2 from both sides )
x = - 2
HELP MEEEEEE PLEASEEEEEEEEEEEEEEE
Answer:
If she returns the skis at 3 p.m. she would pay $25. IM NOT SURE ABOUT 3:05 PM
Step-by-step explanation:
Start on the hours rented side. If she rents them at noon you would be at zero. Move to the 3 (in between 2 and 4) then if you go up it hits $25 on the rental cost side.
at 3pm $25
step by step solution
Question 3 please help?!!!!
Answer:
First choice, 21/50
Step-by-step explanation:
16 + 9 + 22 + 26 + 15 + 12 = 100
Out of 100 tries, 16 times landed on 1 and 26 times landed on 4, added together is 42 times it landed on either a 4 or 1 out of 100
42/100, simplify it with 2, 21/50
The perimeter of a rectangle is 64 feet. The length is two more than double the width. Find the dimensions of the rectangle.
Answer:
Length = 22 ; width = 10
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Perimeter = 64 feets
Length = 2 + (2*width)
Let :
Length = l ; width = w
Perimeter = 2((2 + (2w)) + w)
64 = 2(2 + 3w)
64 = 4 + 6w
64 - 4 = 6w
60 = 6w
w = 60/6
w = 10
Width = 10
Length = 2 + (2*width) = 2 + (2*10) = 2 + 20 = 22
*will give brainist*
just make sure the answer is correct!!
Sohan can do a piece of work in 10 days. He worked at it
for 5 days and then Mohan finished it in 5 days. In how
many days can sohan and morgan work together finish the
work?
Answer:
5 days
Step-by-step explanation:
Sohan can do the whole thing in 10 days
he worked 5 days so he did half
and Mohan did the other half in 5 days
so their speeds are same
so if they worked together they'd do it in half the time
i.e 5 days
if f(x)=e^x and g(x)=x-4 what is (g o f) (x)?
Answer:
Step-by-step explanation:
f(x)=[tex]e^{x}[/tex]
g(x)= x-4
g∅f(x) = [tex]e^{x}[/tex]-4
Answer:
(g•f)(x)=e^x -4
Step-by-step explanation:
A baseball team has a 20-person roster. A batting order has nine people. How many different batting orders are there
Answer:
60,949,324,800
Step-by-step explanation:
We solve the above question using Permutation formula
The formula for Permutation =
nPr = n!/(n - r)!
Total Amount in a Set (n) = 20 persons
Amount in each Sub-Set (r) = 9 batting order
Hence:
20P9 = 20!/(20 - 9)!
= 60,949,324,800
Therefore, the different batting orders they would have are: 60,949,324,800
i need help......,.................
Answer:B
Step-by-step explanation:
The answer is B
everyone should know this
There are 874 pieces of candy in the piñata. There are 23 children at the party, and they all agreed to split the candy equally. How many pieces of candy will each child receive?
Answer:
38 candies.
Step-by-step explanation:
Given the following data;
Total number of candy = 874
Total number of children = 23
Since we know that they are all sharing it equally, each child would get;
Each child = 874/23
Each child = 38 candies.
can anybody help me solving this simplify
Answer:
hugsdoykxyztjzisyktdkyjzr xjyyxidt
Subtract:
a) 89.9 from 44.689
b) 789.03 from 999.8
c) ₹ 789.56 from ₹ 1052. 5
d) 15.56 kg from 28 kg
Answer:
-45.211210.77₹262.94124.44 kgStep-by-step explanation:
Given:
89.9 from 44.689
789.03 from 999.8
₹ 789.56 from ₹ 1052. 5
15.56 kg from 28 kg
Computation:
89.9 from 44.689
44.689 - 89.9
-45.211
789.03 from 999.8
999.8 - 789.03
210.77
₹ 789.56 from ₹ 1052.5
₹ 1052.5 - ₹ 789.56
₹262.94
15.56 kg from 28 kg
28 kg - 15.56 kg
124.44 kg
What is a part to whole ratio?
Answer:
a ratio that compares a selected number of parts. to the total number of parts in a whole.
Step-by-step explanation:
identify the slope in y=-x
Answer:
m = -1
Step-by-step explanation:
y = -x can also be written as
y = -1x + 0
The slope is -1.
In slope intercept equations, if the slope is '1' or '-1' they would usually drop the one.
Hope this helps.
Answer:
the slope of the line y = -x will be: m = -1
The line graph is also attached below.
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slope and b is the y-interceptGiven the line
[tex]y = -x[/tex]
comparing with the slope-intercept form of the line equation
The slope = m = -1The y-intercept = b = 0Therefore, the slope of the line y = -x will be: m = -1
The line graph is also attached below.
Given: Ray E B bisects ∠AEC.
∠AED is a straight angle.
Prove: m∠AEB = 45°
A horizontal line has points A, E, D. 2 lines extend from point E. One line extends to point B and another extends to point C. Angle C E D is a right angle.
Complete the paragraph proof.
We are given that Ray E B bisects ∠AEC. From the diagram, ∠CED is a right angle, which measures
degrees. Since the measure of a straight angle is 180°, the measure of angle
must also be 90° by the
. A bisector cuts the angle measure in half. m∠AEB is 45°.
Answer:
1: 90
2:AEC
3: angle addition postulate
Step-by-step explanation:
Looking at the diagram, ∠CED is a right angle, the angle that measures
degrees are:
90AECAngle addition postulateWhat is an angle?An angle is known to be a term that connote a kind of figure that is created by two rays that can be seen a common endpoint.
Note that an angle is shown by the symbol ∠. and thus Looking at the diagram, ∠CED is a right angle, the angle that measures degrees are 90 and Angle addition postulate.
Learn more about angle from
https://brainly.com/question/25770607
#SPJ2
Please explain how to solve it
Answer: [tex]\frac{8x^3}{27y^6}[/tex]
This is the fraction 8x^3 all over 27y^6
On a keyboard, we can write it as (8x^3)/(27y^6)
===========================================================
Explanation:
The exponent tells you how many copies of the base to multiply with itself.
We'll have three copies of [tex]\left(\frac{2x}{3y^2}\right)[/tex] multiplied with itself due to the cube exponent on the outside.
So,
[tex]\left(\frac{2x}{3y^2}\right)^3 = \left(\frac{2x}{3y^2}\right)*\left(\frac{2x}{3y^2}\right)*\left(\frac{2x}{3y^2}\right)\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{2x*2x*2x}{(3y^2)*(3y^2)*(3y^2)}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{(2*2*2)*(x*x*x)}{(3*3*3)*(y^2*y^2*y^2)}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{8x^3}{9y^6}\\\\[/tex]
-------------------
Or another approach you could take is to cube each component of the fraction. The rule I'm referring to is [tex]\left(\frac{a}{b}\right)^c = \frac{a^c}{b^c}[/tex]
Applying that rule will lead to:
[tex]\left(\frac{2x}{3y^2}\right)^3 = \frac{(2x)^3}{(3y^2)^3}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{2^3*x^3}{3^3*(y^2)^3}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{8x^3}{27y^{2*3}}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{8x^3}{27y^6}\\\\[/tex]
Either way you should get 8x^3 all over 27y^6 as one fraction.
Help ME PLSSS I WILL GIVE WHOEVER ANSWERS FIRST A BRAINLIEST!!
Mr. Mayhood had 4½ pounds of sand in a bucket. He put 2¾ pounds
of sand around his flower bed. How much sand did he have left in the
bucket?
Answer:
1 3/4 pounds.
Step-by-step explanation:
4 1/2 = 4 2/4
4 2/4 - 2 3/4 = 1 3/4
Answer:
1 [tex]\frac{3}{4}[/tex] pounds of sand is left in the bucket
Step-by-step explanation:
4.5 - 2.75 = 1.75 or 1 3/4
The average human fingernail grows at a rate of 3.47 millimeters per month. One millimeters = 0.1 centimeters. How much in centimeter, would the average human fingernail grown in one year?
Answer:
4.164 cm
Step-by-step explanation:
Given that:
Growth of an average human fingernail = 3.47 mm per month
One mm (millimeter) = 0.1 cm (centimeter)
To find:
Growth of an average human fingernail in one year = ?
Solution:
Here, we are given the growth for one month.
There are 12 months in an year, so growth over an year can be found by adding the growth of one month for 12 times.
Growth in one year = 3.47 mm + 3.47 mm+ ..... 12 times
Growth in one year = 12 \times 3.47 mm = 41.64 mm
In millimeters, the growth of an average human fingernail = 41.64 mm
Let us convert it into centimeters by multiplying it with 0.1.
Therefore growth in centimeters = 41.64 mm [tex]\times[/tex] 0.1 = 4.164 cm
11 POINTS. ANSWER PLEASEE
Answer:2 is equal to 18/1 which is 36 divided by 2
Step-by-step explanation:
Answer:
1 is 20/1 or 20 miles per hour
2 is 18/1 or 18 push ups per min
3 is 15/1 or 15 dollars per hour
4 is 50/1 or 50 km per hour
Step-by-step explanation:
divide the numerators by the denominators
PLEASE HURRY!!!!!!!!
Jazmine can run 4 5/6 miles in 2/3 of an hour. How many miles can she run in 1 hour?
Answer:
d = 29/4 miles
That's as simple as you can get it unless you want 7 1/4 miles or 7.25 miles
Step-by-step explanation:
Answer:
7 1/4
Step-by-step explanation:
4 5/6 miles / 2/3 hour =
= 29/6 * 3/2 miles/hour
= (29 * 3)/(6 * 2) miles/hour
= 29/(2 * 2) miles/hour
= 29/4 mph = 7 1/4 mph
Part A The domain of a function is the set of all possible values and range of a function is a set of all possible values?
Answer:
value is 35 and the range is2
Step-by-step explanation:
If x= -6, which inequality is true?
A-5-3x > 10
B-3-5x < -14
C1 - 2x > 13
D2-x<-3
18-34
Answer:
B
this is because the way the other 3 are set up it just makes it b
I need help please
im too tired for this please help me.
Answer:
-3
-2
-6
-4
-5
-1
Step-by-step explanation:
The soccer coach wants to take the team out for pizza after the game. He wishes to spend no more than $60. Large pizzas, p, cost $12 each and sodas, s, cost $1.25 each.
Answer:
i will solve it below
Step-by-step explanation:
12.00 + 1.25
13.00
60.00 - 13.00 = 47.00
your welcome
Answer:
$12p plus $1.25s≤60
Step-by-step explanation:
Because we are multiplying to see how many pizzas and sodas he will get for under 60 dollars or equal to $60
what is the value of k ?
The local high school is having tryouts for the cross country team. The school does not have a track, so the runners run around the school’s football field. The cross country coach determines that the width of the field is seventy yards shorter than the length.
Complete Question
The local high school is having tryouts for the cross country team. The school does not have a track, so the runners run around the school's football field. The cross country coach determines that the width of the field is seventy yards shorter than the length.
Part A
Write an expression that represents the perimeter of the football field. Let x Represent the length of the football field. Include parentheses in your expression. Next, write an equivalent expression that does not include parentheses.
Part B
The cross country coach later determines that the length of the football field is 120 yards. All students must run five laps. Using your answer from Part A, determine the actual number of yards that each athlete must run in the tryouts. In order to make the team, students must complete the laps in 6 minutes. How quickly must they run each lap?
Answer:
[tex]p=4A-140[/tex]
[tex]T =or 62sec[/tex]
Step-by-step explanation:
From the question we are told that
The width of the field is seventy yards shorter than the length.
a) Generally the equation for width and length is given as
[tex]B=x-70[/tex]
Mathematically in finding the perimeter [tex]p[/tex] around the field
[tex]p=2(A+B)[/tex]
[tex]p=2(2A-70)[/tex]
[tex]p=4A-140[/tex]
b)Generally[tex]A=120[/tex]
Mathematically
[tex]p= 4(120) -140[/tex]
[tex]p=480-140[/tex]
[tex]p= 340[/tex]
Therefore
Yards ran by individual athlete[tex]Y[/tex]
[tex]340*5=1700\\Y=1700[/tex]
Time elapsed in a lap T
[tex]T=\frac{340}{1700} *6\\T=1.2min[/tex]
[tex]T =or \hspace 662sec[/tex]
2. You are rolling a number cube. What is the probability that you will roll a
3? Answer in fraction form only.
Answer:
Step-by-step explanation:
1/2
Solve. Chanasia has 6.25 gallons of paint. She wants to use 2/5 of the paint to paint her living room. How many gallons of paint will Chanasia use?
Answer: 2.5 gallons
Step-by-step explanation:
Given that:
Gallons of paint had = 6.25 gallons
Amount needed to paint room = 2/5 of the paint
Gallons of paint needed :
2/5 of 6.25
(2 * 6.25) / 5 gallons
= 12.5 / 5
= 2.5 gallons
Translate the following phrase into an expression:
“ the sum of an unknown number and 12”
Answer:
French: la somme d'un nombre inconnu et 12
Spanish: la suma de un número desconocido y 12
Latin: XII numerus ignotus est et summa
Step-by-step explanation: