Answer:
[tex] \boxed{d = \frac{5}{3}}[/tex]
Step-by-step explanation:
[tex]given \: points \: (2,1) \: and \: (1, - \frac{1}{3}): \\ d \: = \sqrt{ (x _{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} } \\ d \: = \sqrt{ (1 - 2)^{2} +( - \frac{1}{3} - 1)^{2} } \\ d \: = \sqrt{ ( - 1)^{2} +( - \frac{4}{3})^{2} } \\d \: = \sqrt{ (1) +( \frac{16}{9}) } \\d \: = \sqrt{ 1 + \frac{16}{9} } \\d \: = \sqrt{ \frac{9}{9} + \frac{16}{9} } \\d \: = \sqrt{ \frac{25}{9} }\\d \: = \frac{\sqrt{ 25 }}{\sqrt{ 9 }} \\d \: = \frac{ 5}{3} [/tex]
The points A,B and C have coordinates (2,1), (b,3) and (5,5), where b>5 and angle ABC = 90 degrees. Find b.
Answer:
b=6
Step-by-step explanation:
modul of the vector AB= sqrt((b-2)^2+(3-1)^2)= sqrt (b^2-4b+8). It is the length of the side AB
modul of the vector BC is equal to sqrt ((b-5)^2+(-2)^2)= sqrt (b^2-10b+29)
modul of the vector AC is sqrt ((5-2)^2+(5-1)^2)= 5
squared modul of AB + squared modul of BC = squared modul of the vector AC.
b^2-4b+8+b^2-10b+29=25
2b^2-14b+12=0
b^2-7b+6=0
b=1 b=6
b>5, s0 b=6
Find the 7th term of the geometric sequence shown below
- 5x^4, 20x^7, -80x^10,..
Answer:
- 5x^4, 20x^7, -80x^10, 320x^13, -1280x^16, 5120x^19, -20480x^22
Integer scale factor = x-4
Exponent scale factor = +3
Answer = -20,480x^22
West Street Middle School received 18 new computers for the me center. Now there are 31 computers in the media center. How man computers were there before they received the new computers?
Answer:
13
Step-by-step explanation:
They now have 31 computers after receiving 18 so we can subtract 18 from 31 to get 13.
31 - 18 = 13
problem #1 help please
what is the smallest 4 digit number that is both a perfect square AND a perfect cube?
thank you so much for your time, and thank you so so much if you answer my question!! I will give brainliest if I can!
Answer:
The answer is 1024
Step-by-step explanation:
Hope I am correct
Answer:4096
Step-by-step explanation: Considering that 4096 is a perfect square and perfect cube. Also that being the smallest 4 digit number 4096 is the correct answer
Can somone help me pls
Answer:
Step-by-step explanation:
Answer:
D A B C
Step-by-step explanation:
Greater than means line going right
Less than means line going left
Open circle means no equal to sign
Closed circle means equal to sign
the length of rectangular ground is 18m longer than its breadth and its perimeter is 124 find its length and breadth
Answer: length is 22m and breadth is 40m.
Step-by-step explanation:
breadth = b
length = 18+b
so
perimeter of rectangle = 2(l+b)
124 = 2(18+b+b)
or, 124 = 36 + 4b
or, 124-36 = 4b
or, b = 88/4 = 22m
so
l = 18 + b
= 18+22
= 40m
Casey went to the store and purchased 12 pairs of socks, and 3 pairs of shoes for $18.20 each. She spent a total of $81.60. How much did she pay for each pair of socks?
What is the value of k in the equation (k - 1)/ 15 = 15/9 ?
[tex]\\ \sf\longmapsto \dfrac{k-1}{15}=\dfrac{15}{9}[/tex]
[tex]\\ \sf\longmapsto 9(k-1)=15^2[/tex]
[tex]\\ \sf\longmapsto 9k-9=225[/tex]
[tex]\\ \sf\longmapsto 9k=225+9[/tex]
[tex]\\ \sf\longmapsto 9k=234[/tex]
[tex]\\ \sf\longmapsto k=\dfrac{234}{9}[/tex]
[tex]\\ \sf\longmapsto k=26[/tex]
Step-by-step explanation:
everything can be found in the picture
someone help pls I need help
Answer:
(a) Mixed fraction.
(b) 13.244
(c) [tex]13 \frac{1}{20} [/tex]
(d) [tex]12 \frac{13}{55} [/tex]
Sorry that I can't add step-by-step explanation. I don't have enough time.
help please I need help
[tex]40x = 60x(x - 1) \\ \\ 7 \times \frac{7x}{2} - 29x = - 9 [/tex]
Answer:
[tex]40x = 60(x - 1) \\ \\ 2x = 3x - 3 \\ \\ x = 3 \\ \\ \\ 7 \times \frac{7x}{2} - 29x = - 9 \\ \\ 49x - 58x = - 18 \\ \\ - 9x = - 18 \\ \\ x = 2[/tex]
Answer:
#140x = 60x(x - 1)40x = 60x² - 60x60x² - 100x = 03x² - 5x = 0x(3x - 5) = 0x = 0 or3x = 5 ⇒ x = 5/3#27×7x/2 - 29x = - 949x/2 - 29x = - 949x - 58x = - 18-9x = -18x = -18/-9x = 2-6k+1=-2+7k
Help plz !
Answer:
k=3/13
Step-by-step explanation:
Rearrange terms
Subtract
from both sides of the equation
Simplify
Subtract
from both sides of the equation
Simplify
Divide both sides of the equation by the same term
Simplify
Answer:
[tex]k=\frac{3}{13}[/tex]
Step-by-step explanation:
[tex]-6k+1=-2+7k[/tex]
Subtract 1 from both sides:-
[tex]-6k=7k-3[/tex]
Now, Subtract 7k from both sides:-
[tex]-6k-7k=7k-3-7k[/tex]
[tex]-13k=-3[/tex]
Divide both sides by -13:-
[tex]\frac{-13k}{-13}=\frac{-3}{-13}[/tex]
[tex]x=3/13[/tex]
OAmalOHopeO
49 divided by 679 i ask too many questions im honestly just tryna get through this year fast lol.
Answer:7/97 or 0.072165
Step-by-step explanation:
If x+y=10 and x-y=4 find the value of x2-y2
Answer:
40
Step-by-step explanation:
[tex]x^2 - y^2 = (x+y)(x-y) = 10\times 4 = 40[/tex]
Someone help please.
Answer:
Translation (the +5)
Dilation (the x 4)
Compression (the 3 to 1/3, and the x to 2-x)
Step-by-step explanation:
Brainliest, please!
Which equation represents a population of 490 animals that increases at an annual rate of 20% ?
Answer:
Step-by-step explanation:
The standard form of this exponential function is
[tex]y=a(b)^x[/tex] where a is the initial value and b is the growth rate. Our initial value is 490 and our growth rate is .2 so the equation is
[tex]y=490(.2)^x[/tex]
(3,-2)
– 2-
→
(1,0)
how many times am i moving ?
Answer:
Step-by-step explanation:
Please help me. 20 POINTS
Answer:
No. Angle 1 is an obtuse angle while angle 2 is an acute angle. obtuse angles are more than 90 degrees, which is more than an acute angle's less than 90 degrees.
Step-by-step explanation:
Please help me!!! I’ll give brainly!
Given that -3 is a root of the function h(x)=x^3+2x^2-5x-6, use synthetic division and factoring to indent idt the other roots.
Answer:
Step-by-step explanation:
write a polynomial in standard form with the zeros –4 0 1 and 4
Step-by-step explanation:
Hi there!
Zero of the polynomial is the value of "X" that gives final answer as zero.
So, as the polynomial in the second gives zero every time when we keep the zero which are given in the question. It is the answer.
Check:
• x⁴ - x³ - 16x² + 16x
(-4)Keep the value -4 as the value of X in polynomial.
= (-4)⁴-(-4)³ -16*(-4)²+16*(-4)
= 256+64-256-64
= 0
0Keep the value 0 as the value of X in polynomial.
= (0)⁴-(0)³ -16*(0)²+16*(0)
= 0-0-0+0
= 0
1Keep the value 1 as the value of X in polynomial.
= (1)⁴-(1)³ -16*(1)²+16*(1)
= 1-1-16+16
= 0
4Keep the value 4 as the value of X in polynomial.
= (4)⁴-(4)³ -16*(4)²+16*(4)
= 256 - 64-256+64
= 0
Therefore, the correct answer is option B.
Hope it helps!
{x:x is a natural number and x is greater than 70} write the set in listed form.
Answer:
{71,72,73,74,75,76,77,78,79,80}Step-by-step explanation:
natural numbers start from one but it says greater than 70 so it will start from 71 but to any number as long as it is greater than 70
Simplify the following expression:
4n - m + 3p + 2m - n - p
Answer:
The choose One
3n+m+2p
I hope I helped you^_^
Answer:
[tex] = 3n + m + 2p[/tex] (first option)
Step-by-step explanation:
[tex]4n - m + 3p + 2m - n - p[/tex]
[tex]4n - n = 4n - 1n = (4 - 1)n = 3n[/tex]
[tex]3n - m + 3p + 2m - p[/tex]
[tex] - m + 2 = - 1m + 2m = ( - 1 + 2)m = 1m = m[/tex]
[tex]3n + m + 3p - p[/tex]
[tex]3p - p = 3p - 1p = (3 - 1)p = 2p[/tex]
[tex] = 3n + m + 2p[/tex]
sarah solved an equation correctly, and she got 2=2. in a complete sentence, explain what this result means.
Answer:
see explanation
Step-by-step explanation:
Solving an equation and obtaining the final line as
2 = 2 ( that is both sides equal )
Indicates that the equation has an infinite number of solutions
Which equation has the same solution as x2 + 12x +8= -5?
Answer:
Hope its help you...........
Please help,and i will give you the brainleist.please write in a notebook and send.
Answer:
my answer is Rs 57
remember it says remaining copies so u much find the 5% from the price of 900 copies
Are a total of 127 Cars And trucks on a lot. If there. For more than twice the number of trucks, then cars, how many cars and trucks are on the lot?
Answer:
41 cars and 86 trucks
Step-by-step explanation:
C+T=127
2C+4=T
C+(2C+4)=127
3C+4=127
3C=123
C=41When C=41,
41+T=127
T=127-41
T=86
Write an absolute value inequality for the graph below. Use x for your variable.
Answer:
|x| ≥ 7
Step-by-step explanation:
Taking the absolute value means that any value of x will always be positive, meaning that the absolute value of -7 or less would be 7 or greater, which satisfies the inequality above and line graph.
Absolute value is 7 or greater.
What is inequality?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
p ≠ q means that p is not equal to qp < q means that p is less than qp > q means that p is greater than qp ≤ q means that p is less than or equal to qp ≥ q means that p is greater than or equal to qAs, absolute value means that any value of x will always be positive.
So, the absolute value according to -7 or less would be 7 or greater,
Hence, absolute value is 7 or greater.
Learn more about inequality here:
https://brainly.com/question/20383699
#SPJ2
The lifeguard on duty gets 10 minutes a break for every two hours how much break time does the lifeguard get during a six hour shift
Answer:
The lifeguard would get a 30 minute break.
Step-by-step explanation:
6 hours ÷ 2 hours = 3
3 x 10 = 30 minutes
Select all solutions to the equation (2x — 4)(x + 5) = 0.
x = -1/2
x = 1/2
x = -2
x = 2
x = -5
x = 5
Answer:
(2x-4) (x+5)=0
2x(x+5) -4(x+5)=0
2x^2+10x-4x-20=0
2x^2+6x-20=0
x^2+3x-10=0 ( Taking common of 2 )
x^2+(5-2)x-10=0 • (3=(5-2)x)
x^2+5x-2x-10=0
x(x+5)-2(x-5) =0 • Taking common
(x+5)(x-2) =0
so x=-5 or x=2.
The solutions to the equation (2x — 4)(x + 5) = 0 will be negative 5 and 2. Then the correct options are D and E.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The equation is given below.
(2x - 4)(x + 5) = 0
The factors (2x - 4) and (x + 5) will be zero. Then we have
2x - 4 = 0
2x = 4
x = 4/2
x = 2
Then the other solution to the equation will be
x + 5 = 0
x = -5
The solutions to the equation (2x — 4)(x + 5) = 0 will be negative 5 and 2. Then the correct options are D and E.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ5
solve for x =
a 9
b 7
c 4