One morning it was 29°F in Columbus, Ohio and 27°F in Pittsburgh, Pennsylvania.Was it warmer in Columbus or Pittsburgh?
A line segment has (x1, y1) as one endpoint and (xm, ym) as its midpoint. Find the other endpoint (x2, y2) of the line segment in terms of x1, y1, xm, and ym. Use the result to find the coordinates of the endpoint (x2, y2) of each line segment with the given endpoint (x1, y1) and endpoint (xm, ym).
(a)
(x1, y1) = (1, −4), (xm, ym) = (2, −1)
(x2, y2)=
(b)
(x1, y1) = (−9, 19), (xm, ym) = (5, 6)
(x2, y2)=
Answer: (a) ([tex]x_{2},y_{2}[/tex]) = (3,2)
(b) ([tex]x_{2},y_{2}[/tex]) = (19,-7)
Step-by-step explanation: Midpoint of a segment is halfway between 2 endpoints. It is calculated using the formulas:
[tex]x_{m}=\frac{x_{1}+x_{2}}{2}[/tex]
[tex]y_{m}=\frac{y_{1}+y_{2}}{2}[/tex]
Isolating [tex]x_{2}[/tex]:
[tex]2x_{m}=x_{1}+x_{2}[/tex]
[tex]x_{2}=2x_{m}-x_{1}[/tex]
And [tex]y_{2}[/tex]:
[tex]2y_{m}=y_{1}+y_{2}[/tex]
[tex]y_{2}=2y_{m}-y_{1}[/tex]
(a) Replacing values and calculating [tex]x_{2}[/tex]:
[tex]x_{2}=(2*2)-1[/tex]
[tex]x_{2}=3[/tex]
Calculating [tex]y_{2}[/tex]:
[tex]y_{2}=[2*(-1)]-(-4)[/tex]
[tex]y_{2}=2[/tex]
[tex](x_{2},y_{2})=(3,2)[/tex]
(b) [tex]x_{2}=(2*5)-(-9)[/tex]
[tex]x_{2}=19[/tex]
[tex]y_{2}=(2*6)-19[/tex]
[tex]y_{2}[/tex] = -7
[tex](x_{2},y_{2})=(19,-7)[/tex]
Answer:
D is the Right answer got it right on test and teacher said it was right
Step-by-step explanation:
Ym
I need help........... I'll mark u brainliest and give extra points just help me and answer every question pleaseeeeeeeee
Answer:
Here are the answers:
Step-by-step explanation:
C. 4.6x10^7 = 4.6x 10x10x10x10x10x10x10 = 46,000,000
D. 4.6x10x10x10x10x10x10x10
E. You Simplify your expression by mutiplying 10x10x10x10x10x10x10 to get rid of the exponent. You find the sum by multiplying 10x10x10x10x10x10x10 first. You get 10,000,000. Then Multiply 4.6 by 10,000,000. You should get 46,000,000. The sum is 46,000,000.
Simplify this radical. [tex]\sqrt{} 84[/tex]
Answer:
2√21
Step-by-step explanation:
[tex]\sqrt{84}\\\\\mathrm{Prime\:factorization\:of\:}84:\quad 2^2\times\:3\times\:7\\=\sqrt{2^2\times\:3\times \:7}\\\\=\sqrt{2^2}\sqrt{3\times\:7}\\\\\sqrt{2^2}=2\\\\=2\sqrt{3\times\:7}\\\\=2\sqrt{21}[/tex]
5-2x=15 plz help ASAP
Answer:
x=-5
Step-by-step explanation:
first step to 4x -13 =43
Answer:
add 13 to both sides
Step-by-step explanation:
4x-13=43
4x=56
x=14
f(x) = 9 - x, g(x) = x2 + x, h(x) = x - 2
Compute the following:
f(g(4)
Answer:
f(g(4) = -11
Step-by-step explanation:
Whenever we are given a composite function where the output of one of the functions serves as an input for the second one, the first step is to evaluate the numerical output from the first function.
Output from first function: g(x) = [tex]x^{2} + x[/tex]
g(4) will be evaluated by substitution 4 for x in the above equation.
this will give us [tex]g(x)=4^{2}+4 =20[/tex]
Output from the composite function f(g(4)
The next stage is to input our results from the function g(4) into the function
f(x) = 9 - x. The output from g(4) which is 20, will now become our input.
[tex]f(x)-9-(20)= -11[/tex]
Therefore f(g(4) = -11
Which of the following represents the factorization of the binomial below?
x² - 144
A. (x+12)(x-12)
B. (x-12)(x-12)
C. (x+12)(x +12) D. (X)(x-144)
Answer:
A. (x+12)(x-12)
Step-by-step explanation:
Use foil method
x * x = x^2
x * - 12 = - 12x
12 * x = 12 x
12 * - 12 = - 144
x^2 [- 12x + 12x= 0x = 0] - 144
x^2 + 0 - 144 =
x^2 - 144 #
Answer:
What are the factors of x2 – 144?
✔ (x – 12)
and
✔ (x + 12)
Step-by-step explanation:
If point A is translated 4 units left and 6 units down, what are the coordinates of A?
A)
(6, 1)
B)
(6, -1)
C)
(-2, 1)
D)
(-2,-1)
Answer:C (-2, 1)
Step-by-step explanation:
Which of the following is NOT a type of bank?
OA) savings and loans association
OB) credit union
OC) modern bank
OD) commercial bank
Answer:
OC) modern bank
Step-by-step explanation:
OC) modern bank
There is no such type of bank.
can someone please help me, I don't know where to begin
Answer:
x=20
Step-by-step explanation:
sum of all the sides is equal to 180degrees
group like terms
solve the question
Simplify the expression 5 (x + 4) – 6(1-5)
Hola! Necesito ayuda con esto, tengo que encontrar el dominio y rango de esta gráfica. Les agradezco mucho si me ayudan.
Answer:
yo no se pero ahorita yo te ayudo
A jar contains 6 yellow marbles, 4 black marbles, and 2 purple marbles. Two marbles are picked at random, without replacement. What is the probability of
selecting both yellow?
Answer:
The probability of selecting both yellow is 5/22.
Step-by-step explanation:
Given the number of yellow marbles = 6
Black marbles = 4
Purple marble = 2
Now find the total number of marbles in the jar.
Thus total marbles = Yellow marbles + Black marbles + Purples marble
Now insert the values in the above formula.
Total marbles = 6 + 4 + 2
Total marbles = 12
The probability of 2 yellow marble:
[tex]= \frac{6}{12} \times \frac{5}{11} \\= \frac{5}{22}[/tex]
Thus, the probability of selecting both yellow is 5/22.
Can someone help me answer this question please?
Answer:
0.10
Step-by-step explanation:
between 1980 and 2010 : 30 years
the change of price:3.99-0.99= 3 dollars
the average rate : 3/30=0.10 or 10 %
How do you solve this 4x-2+x= -2+2x
Answer:
0
Step-by-step explanation:
First of all, simplify the equation on both sides. You will get 5x - 2 = 2x - 2. Add two to both sides, and you get 5x=2x. Subtract 2x from both sides to get 3x=0, so x will equal 0.
Answer:
5x = 2x
Step-by-step explanation:
5x- 2 = 2 + 2x
5x - 2+ 2 = -2 + 2x +2
What is the base in -5x2
Answer:
Step-by-step explanation:
10 lol
A car, initially at rest, travels 20 m in 4 s along a straight line with constant acceleration. The acceleration of the car is: 1. 0.4 m/s 2 2. 9.8 m/s 2 3. 4.9 m/s 2 4. 1.3 m/s 2 5. 2.5 m/s 2
Answer:
2.5m/s²Step-by-step explanation:
Using the equation of motion S = ut + 1/2at² where;
S is the distance travelled = 20m
u is the initial velocity = 0m/s (car starts from rest)
a is the acceleration = ?
t is the time taken = 4s
To get the acceleration of the car, we will substitute the given parameters into the given equation.
S = ut + 1/2at²
20 = 0(4)+1/2a(4)²
20 = 0+ a/2*16
20 = 8a
divide both sides by 8
20/8 = 8a/8
20/8 = a
a = 20/8
a = 2.5m/s²
Hence the acceleration of the car is 2.5m/s²
A teacher took a poll of a class to find out if the students Preferred cats or dogs .the ratio of students who prefer cats vs.students who prefer 2:5 if there are 49 students in the class how many more prefer dogs than cats ??
Find the difference of 3 1/2 - 1 1/9 * help this is due in 1 hour
Answer:
the answer is 2.38
Step-by-step explanation:
Answer:
2 7/18 if you need it in fraction form.
Round 367.8727 to the nearest 100th.
Answer:
367.87
Step-by-step explanation:
the 100th place is the 2nd digit in the decimal. After the "7" is "27" so it rounds down to just ".8700." We don't include the "infinite zeros" or whatever so therefore your answer is 367.87.
Hope this helps and have a nice day!
Which number is located between 15 and 20 on the number line
Find the value of x. 2x+3x-5=-15 *Plz explain your answer*
Answer:
-2
Step-by-step explanation:
Can 6,12, and 18 make a triangle?
By definition, 3 side lengths are a triangle if any 2 side lengths add up to be greater than the third.
We can already see that the side lengths 6 and 12 will add up to a value of 18, which is equal to the last side length, meaning that the three values are not a triangle.
[tex]a=6[/tex]
[tex]b=12[/tex]
[tex]c=18[/tex]
[tex]a+b>c[/tex]
[tex]b+c>a[/tex]
[tex]c+a>b[/tex]
[tex]6+12>18[/tex] (Since this is not true, this is not a triangle)
Hope this helps.
頑張って!
pls help me 20 points
Answer:
31/100
Step-by-step explanation:
-3(4x+2)=18 WHAT IS IT????
Answer:
x = -2
Step-by-step explanation:
-3(4x + 2) = 18
Divide by -3:
-3(4x + 2) / -3 = 18 / -3
4x + 2 = -6
Subtract 2:
4x + 2 - 2 = -6 - 2
4x = -8
Divide by 4:
4x / 4 = -8 / 4
x = -2
john has 42 pieces of candy. if he has 4 bags and two extra pieces determine how many are in each bag.
Answer:
10
Step-by-step explanation:
42-2=40(since 2 extra)
=>For each bag=40/10=4
Please show all work and not just the answers.
I hope this helps you
If one kilogram equals 2.2 pounds, how many kilograms equal 112 pounds? Round your answer to the nearest hundredth, if necessary. 24.64 kilograms 50.91 kilograms 109.8 kilograms 246.4 kilograms
Answer:
B.) 50.91 kilograms
Step-by-step explanation:
Write an equation that looks like this:
[tex]\frac{kilogram}{pound}= \frac{kilogram}{pound}[/tex]
Insert the information in the appropriate section, with 1 kilogram and 2.2 pounds on the same side:
[tex]\frac{1}{2.2}=\frac{x}{112}[/tex]
Solve for x, which is the number of kilograms for 112 pounds if there is 1 kilogram per 2.2 pounds.
Solve for x. Cross multiply:
[tex]1(112)=2.2(x)\\\\112=2.2x[/tex]
Isolate the variable. Divide both sides by 2.2:
[tex]\frac{112}{2.2}=\frac{2.2x}{2.2}\\\\x= 50.909090...[/tex]
Round to the nearest hundredth (two decimal places to the right):
50.909 → 50.91
If 1 kilogram is equal to 2.2 pounds, then 50.91 kilograms is equal to 112 pounds.
:Done
Answer:
b bc the oter guy is alomost as smort as walter
Step-by-step explanation:
1. Which statement is NOT true?
A A rhombus is always a parallelogram.
B. A trapezoid ia sometimes a parallelogram.
C. A square is always a rhombus.
D. A parallelogram a sometimes a rectangle.
Answer:
B.
Step-by-step explanation:
A trapezoid is NOT a parallelogram because a parallelogram have 2 pairs of parallel sides. But a trapezoid/trapezium only has 1 pair of parallel sides.