Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{58} \: \: units}}}}}[/tex]
Step-by-step explanation:
Let the points be A and B
Let A ( 3 , -2 ) be ( x₁ , y₁ ) and B ( -4 , 1 ) be ( x₂ , y₂ )
Finding the distance between these points
[tex] \boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {( - 4 - 3)}^{2} + {(1 - ( - 2))}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {( - 4 - 3)}^{2} + {(1 + 2)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {( - 7)}^{2} + {(3)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{49 + 9}}} [/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{58} }}[/tex] units
Hope I helped!
Best regards! :D
Nathan is stocking bathrooms at the hotel where he works. he has 18 rolls of toilet paper and 9 bars of soap. if he wants all bathrooms to be stocked identically, with the same combination of supplies in each one and nothing left over, what is the greatest combination of bathrooms Nathan can stock
If 4 times a number is 156, then 1/3 of the number is
Answer:
[tex]\huge\boxed{\sf \frac{x}{3} = 12}[/tex]
Step-by-step explanation:
Let the number be x
4x = 156
Dividing both sides by 4
x = 36
Dividing both sides by 3
[tex]\frac{x}{3}= \frac{36}{3}[/tex]
[tex]\frac{x}{3} = 12[/tex]
solve this equation
3x+6=-2-2x
Answer:
x = -8/5
x = -1.6
Step-by-step explanation:
3x+6=-2-2x
Add 2x to each side
3x+2x+6=-2-2x+2x
5x+6 = -2x
Subtract 6 from each side
5x+6-6 = -2-6
5x= -8
Divide each side by 5
5x/5 = -8/5
x = -8/5
x = -1.6
K(h-j)+10’ if h= 7, j=-8, and k=5
Answer:
49
Step-by-step explanation:
5(7-8)+10
49
it's equals 49
X2 - 13x + 40 = 0
Hey, I got this on my math homework and I need help with figuring out how to solve it
Answer:
x=8 x=5
Step-by-step explanation:
X^2 - 13x + 40 = 0
What two numbers multiply to 40 and add to -13
-8*-5 = 20
-8-5 = -13
( x-8) (x-5) =0
Using the zero product property
x-8=0 x-5 =0
x=8 x=5
To solve this polynomial equation, we will first factor the left side.
On the left, we have a special type of trinomial
that can be factored as the product of two binomials.
X² breaks down as x · x and we are looking for
the factors of 40 that add to the middle term, -13.
Since the middle term is negative, we use negative factors of 40.
The factors that work are -8 and -5.
So we have (x - 8)(x - 5) = 0.
If (x - 8)(x - 5) = 0, that means that either x - 8 = 0 or x - 5 = 0.
Solving for x in each equation, we have x = 8 or x = 5.
We can write this as the set of numbers {8, 5}.
Simplify: 5m (5m* +5m -4)
A 10m +10m² + m
B 10m + 10m + m
25m + 25m-20m
D 25m + 25m-20m
108 ÷ 9 x (-12) ÷ 6 - (100 ÷ 5)
Answer:
-44
Step-by-step explanation:
108 ÷ 9 x (-12) ÷ 6 - (100 ÷ 5)
= 108 ÷ 9 x (-12) ÷ 6 - (20)
= 12 x (-12) ÷ 6 - (20)
= -144÷ 6 - (20)
= -24 - (20)
= -44
5. Solve the following equations for the indicated variable.
a. 5(3x + 7)=20-2(x +1) for x
b. 2x - y= 24 for y
c. m(3 – 4m)= 7+4(8 – m2) for m
d. 5x(x + 3) =(x)(5x – 3) + 36 for x
Answer:a) x =−1
B) x=1/2y+12
C) m=13
D) x=2
Step-by-step explanation:a) Let's solve your equation step-by-step.
5(3x+7)=20−2(x+1)
Step 1: Simplify both sides of the equation.
5(3x+7)=20−2(x+1)
(5)(3x)+(5)(7)=20+(−2)(x)+(−2)(1)(Distribute)
15x+35=20+−2x+−2
15x+35=(−2x)+(20+−2)(Combine Like Terms)
15x+35=−2x+18
15x+35=−2x+18
Step 2: Add 2x to both sides.
15x+35+2x=−2x+18+2x
17x+35=18
Step 3: Subtract 35 from both sides.
17x+35−35=18−35
17x=−17
Step 4: Divide both sides by 17.
17x/17=−17/17
x=−1
B) Let's solve for x.
2x−y=24
Step 1: Add y to both sides.
2x−y+y=24+y
2x=y+24
Step 2: Divide both sides by 2.
2x/2=y+24/2
x=1/2y+12
C) Let's solve your equation step-by-step.
m(3−4m)=7+4(8−m2)
Step 1: Simplify both sides of the equation.
−4m2+3m=−4m2+39
Step 2: Add 4m^2 to both sides.
−4m2+3m+4m2=−4m2+39+4m2
3m=39
Step 3: Divide both sides by 3.
3m/3=39/3
m=13
D) Let's solve your equation step-by-step.
5x(x+3)=x(5x−3)+36
Step 1: Simplify both sides of the equation.
5x2+15x=5x2−3x+36
Step 2: Subtract 5x^2 from both sides.
5x2+15x−5x2=5x2−3x+36−5x2
15x=−3x+36
Step 3: Add 3x to both sides.
15x+3x=−3x+36+3x
18x=36
Step 4: Divide both sides by 18.
18x/18=36/18
x=2
Solve the equation for y
the answer is C). y= 1/4x + 2
How much string would you need to go around the bottom of a hat shaped like a cone if the radius is 4 inches? (Use 3.14 for π)
Answer:
25.12 inches
Step-by-step explanation:
To find the circumference or the perimeter of a circle it is the diameter times pi. (pi = 3.14) Or you can do radius times 2 times pi.
Answer is 4 times 2 times 3.14 which is 25.12
-5/6 + 1/4 = is what???
Please help th points is 100...
Answer:
-7/12
Step-by-step explanation:
Find common denominators. Note that what you do to the denominator, you do to the numerator.
Set the common denominator to 12:
(-5/6)(2/2) = -10/12
(1/4)(3/3) = 3/12
Combine the terms:
-10/12 + 3/12 = 3/12 - 10/12 = -7/12
-7/12 is your answer.
~
G(n) = n^2 +4n find g(2)
Answer:
12
Step-by-step explanation:
G(2)= 2^2 +4(2)
Solve via order of operations
G(2)=4 +8
G(2)=12
A 6- foot roll of waxed paper costs $3.60. What is the price per inch?
Answer:
0.3
Step-by-step explanation:
1 foot = 12 inches so 3.60/12=0.3
What is the average density of a laptop?
Answer to this PLEASE GOD BLESS YOU
Answer:
the answer to this question is b
Complete the table
30x – 6y = -6x2
Answer:
-0.5
Step-by-step explanation:
30x - 6x = -6(2)
24x -12
24 24
x = -.5
Solve the following equation: 3x - 7 = 9 + 2x.
A)12
B)16
c)20
d)24
Answer:
Option B
Step-by-step explanation:
[tex]3x - 7 = 9 + 2x\\\\3x-7+7=9+2x+7\\\\3x = 9 + 7 + 2x\\\\3x=16+2x\\\\3x-2x=16+2x-2x\\\\\boxed{x=16}[/tex]
Hope this helps!
Evaluate f (x) = 2x – 13 for f (x) = 9, x =
Answer:
11
Step-by-step explanation:
f(x) = 2x - 13
9 = 2x - 13 Add 13 to both sides
9 + 13 = 2x Add the left
22 = 2x Divide by 2
22/2 = x
x = 11
Seven is part of all of the following sets of numbers except
O irrational numbers
O integers
O rational numbers
natural numbers
Answer:
Seven isn't part of the set of irrational numbers.
Step-by-step explanation:
Seven and the Set of all Natural NumbersStart with the smallest set among the choices. The set of all natural numbers, [tex]\mathbb{N}[/tex], starts with [tex]0[/tex] (or [tex]1[/tex], for some people.) A number [tex]n[/tex] is in [tex]\mathbb{N}\!\!\![/tex] (write [tex]n \in \mathbb{N}[/tex]) if and only if [tex](n - 1)[/tex] is in [tex]\mathbb{N}\![/tex]. Conversely, if [tex]n\![/tex] is indeed in [tex]\mathbb{N}\!\!\!\!\![/tex], then [tex](n + 1)[/tex] would also be in [tex]\mathbb{N}\!\!\!\!\!\!\![/tex]. For [tex]7[/tex]:
[tex]1 \in \mathbb{N} \implies 2 \in \mathbb{N}[/tex].
[tex]\vdots[/tex].
[tex]6 \in \mathbb{N} \implies 7 \in \mathbb{N}[/tex].
Therefore, [tex]7[/tex] is indeed in the set of all natural numbers.
Seven and the Set of all IntegersSimilarly, a number [tex]n[/tex] is in the set of integers, [tex]\mathbb{Z}[/tex], if and only if either [tex](n - 1)[/tex] or [tex](n + 1)[/tex] is (or both are) in [tex]\mathbb{Z}\!\![/tex].
Conversely, if a number [tex]n[/tex] is in [tex]\mathbb{Z}[/tex], then both [tex](n - 1)[/tex] and [tex](n + 1)[/tex] will be in [tex]\mathbb{Z}\![/tex].
It can be shown in a similar iterative way that [tex]7 \in \mathbb{Z}[/tex].
Alternatively, consider the fact that the set of all natural numbers, [tex]\mathbb{N}[/tex], is a subset of the set of all integers, [tex]\mathbb{Z}[/tex]. Therefore, [tex]7 \in \mathbb{N}[/tex] implies that [tex]7 \in \mathbb{Z}[/tex].
Seven and the Set of all Rational NumbersA number [tex]m[/tex] is a member of the set of all rational numbers [tex]\mathbb{Q}[/tex] if and only if there exists two integers [tex]p[/tex] and [tex]q[/tex] such that:
[tex]\displaystyle m = \frac{p}{q}[/tex].
[tex]1[/tex] and [tex]7[/tex] are both integers. If [tex]p = 7[/tex] and [tex]q = 1[/tex], then [tex]\displaystyle 7 = \frac{7}{1} = \frac{p}{q}[/tex]. Hence,
Alternatively, note that the set of all integers, [tex]\mathbb{Z}[/tex], is a subset of the set of all rational numbers, [tex]\mathbb{Q}[/tex]. Therefore, the fact that [tex]7 \in \mathbb{Z}[/tex] would imply that [tex]7 \in \mathbb{Q}[/tex].
Seven and the Set of all Irrational NumbersA number is in the set of all irrational numbers if and only if:
this number is in the set of all real numbers, andthis number is not in the set of all rational numbers. (Hence "irrational.")Therefore, the fact that [tex]7[/tex] is a rational number implies that it is not an irrational number.
Answer:
irrational numbers
Step-by-step explanation:
Which question relates to setting a long-term financial goal?
Choose the correct answer below.
A.
When would I like to buy a new car?
B.
How much does it cost to buy a movie ticket and snacks at the theater?
C.
On which day of the month is my credit card bill sent out?
D.
What is the late payment fee on my car loan?
A coin flipped 10 times and the results is recorded. What is the probability of getting exactly 5 tails?
Answer:
50%
Ste50p-by-step explan%ation:
Please answerrr I need help with hw and I still can't solve this!!!
The answer would be 16 all you have to do is multiply the length by the width which is 2 and 8.
Help please TYSM IF YOU DO!
Answer:
I think it is mean
Step-by-step explanation:
because mean would be the average of the scores
Answer: The mean
Step-by-step explanation:
The mean will show the average of the teams scores.
Solve for x 9x - 1 = -11
Answer:
x=[tex]-\frac{10}{9}[/tex]
Step-by-step explanation:
We start by moving the constant to the right. In this case -1 (it becomes positive 1).
9x=-11 +1
9x= - 10
divide 9 by both sides.
x=- [tex]\frac{10}{9}[/tex]
is 1 1/2 a rational number?
yes. It would be an irrational number if it didn't repeat in a pattern.
hope it helps comment if u have any questions
Answer:
Yes.
Step-by-step explanation:
Yes 1 [tex]\frac{1}{2}[/tex] is a rational number because because it can be converted to a decimal, which is 1.5
What two numbers should be placed in the blanks below so that the difference between the
consecutive numbers is the same?
13,_,_,34
Answer:
20,27
Step-by-step explanation:
let 13,a,b,34 be consecutive numbers.
a=13
l=34
n=4
l=a+(n-1)d
34=13+(4-1)d
34-13=3d
21=3d
d=21/3=7
a=13+7=20
b=20+7=27
Answer:
20, 27
Step-by-step explanation:
The difference 34-13 = 21 must be divided into three equal parts. Each is 21/3 = 7.
The numbers are 13+7 = 20, 20+7 = 27. As a check, 27 +7 = 34
The missing numbers are 20 and 27.
The amount of money invested in a retirement fund is an example of which of the following?
a. investment asset
b. liquid asset
c. long term asset
d. use asset
answer: investment asset e2020
Answer:
A.
Step-by-step explanation:
Retirement funds are not liquid assets. You fund them with investment assets. However, Roth IRA's and 401 (k) are not assets in the traditional sense. It may be confusing, but the way they grow is by investments. The answer is A.
The amount of money invested in a retirement fund is an example of an investment asset. which is the correct answer would be an option (A)
What is an Investment?An Investment is defined as an asset or object purchased with the intention of generating income or appreciation is referred to as an investment. The term "appreciation" describes a rise in an asset's worth over time. When a person buys a product as an investment, they don't intend to utilize it right away; instead, they plan to use it to make money later on.
An investment always entails the expenditure of some capital today—time, effort, money, or an asset in the anticipation of receiving a larger return than what was first invested.
Investment portfolios are not movable property. They are financed by investments. One type of investing asset is the amount of money invested into a retirement fund.
Hence, the amount of money invested in a retirement fund is an example of an investment asset. which is the correct answer would be an option (A)
Learn more about an Investment asset here:
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How do you write.09 in words?
Answer:
zero point 9
0 and nine tenths
Step-by-step explanation:
2/5 divided 1/2 as a unit rate
Answer:
2/5 divided 1/2 as a unit rate .what do you mean
if x and 3x are linear pair then find the value of x.
Answer:
x = 45°
Step-by-step explanation:
x + 3x = 180°
--> 4x = 180°
--> x = 180 / 4 = 45°
Step-by-step explanation:
x+3x=180 (sum of linear pair=180)
or, 4x =180
or, x = 180/4
therefore x =45