Answer:
It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
Step-by-step explanation:
Points:
(7, 10) and (7, 20)Slope-intercept form:
y= mx+bslope is:
m= (y2-y1)/(x2-x1)= (20-10)/(7-7)= 10/0,denominator of the fraction is zero, we can't divide by zero, so this line has no slope
----------
It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.
no, numerator is not zeroIt has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
no, it has no slopeIt has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.
no, numerator is not zeroIt has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
yesAnswer:
D;
Step-by-step explanation:
It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
Can someone pls help me solve this problem! I really need help ASAP! Plz help plz help!
Answer:
R=6
Step-by-step explanation:
T+R+A=100
T=88 A=6 R=?
88+R+6=100
Move known numbers to other side
R=6
Divide 8848 by 16(Show working)
Answer:
553
Step-by-step explanation:
5 5 3
---------------------
16 / 8 8 4 8
8 0
---------------
8 4
8 0
----------------
4 8
4 8
-----------
0
The quotient is 553.
4 8
----------
0
4x+2y=10 5x+3y=12 solve the simultaneous question
Answer:
x = 3
y = -1
Step-by-step explanation:
→You can use the elimination method. To do this you must have either the x or y-values have the same value, but opposite signs. For this, we can choose y:
4x + 2y = 10
5x + 3y = 12
→Multiply (4x + 2y = 10) by -3, and (5x + 3y = 12) by 2:
-12x - 6y = -30
10x + 6y = 24
____________
-2x = -6
→Divide both sides by -2:
x = 3
→Plug in 3 for x into an equation:
4x + 2y = 10
4(3) + 2y = 10
12 + 2y = 10
2y = -2
y = -1
So I have to compute the following but i don't know what they mean any help?
Answer:
Step-by-step explanation:
This is a Combination (as in permutation vs combination) question the symbol (n r) refers to "n choose r". This is sometimes written as nCr
i.e the question is asking you to find how many combinations each will yield when you chose r items from n item without repetition and order does not matter.
I will only do the first question for you and you can just follow the same steps to solve the rest of the questions.
Recall that
[tex]nCr=\frac{n!}{(r!)(n-r)!}[/tex]
Consider question a) we are given (5 1) or ₅C₁
we can see that n = 5 and r = 1
If we substitute this into the formula:
₅C₁ = (5!) / [ (1!)(5- 1)!]
= (5!) / [ (5- 1)!]
= (5!) / (4!)
= (5·4·3·2·1) / (4·3·2·1)
= 5
hence ₅C₁ = 5
Answer:
(a) 5
(b) 10
(c) 35
(d) 28
(e) 9
(f) 21
Step-by-step explanation:
[tex](\frac{n}{k} )=\frac{n!}{k!(n-k)!}[/tex]
(a)
[tex](\frac{5}{1} )=\frac{5!}{1!(5-1)!} \\\\(\frac{5}{1} )=\frac{5*4*3*2*1}{1*4!} \\\\(\frac{5}{1} )=\frac{120}{1*4*3*2*1} \\\\(\frac{5}{1} )=\frac{120}{24} \\\\(\frac{5}{1} )=5[/tex]
(b)
[tex](\frac{5}{3} )=\frac{5!}{3!(5-3)!} \\\\(\frac{5}{3} )=\frac{5*4*3*2*1}{3*2*1*2!} \\\\(\frac{5}{3} )=\frac{120}{3*2*1*2*1}\\\\(\frac{5}{3} )=\frac{120}{12} \\\\(\frac{5}{3} )=10[/tex]
(c)
[tex](\frac{7}{4} )=\frac{7!}{4!(7-4)!} \\\\(\frac{7}{4} )=\frac{7*6*5*4*3*2*1}{4*3*2*1*3!} \\\\(\frac{7}{4} )=\frac{5040}{4*3*2*1*3*2*1} \\\\(\frac{7}{4} )=\frac{5040}{144} \\\\(\frac{7}{4} )=35[/tex]
(d)
[tex](\frac{8}{2}) =\frac{8!}{2!(8-2)!} \\\\(\frac{8}{2}) =\frac{8*7*6*5*4*3*2*1}{2*1*6!} \\\\(\frac{8}{2}) =\frac{40320}{2*1*6*5*4*3*2*1}\\\\(\frac{8}{2}) =\frac{40320}{1440} \\\\(\frac{8}{2}) =28[/tex]
(e)
[tex](\frac{9}{8} )=\frac{9!}{8!(9-8)!} \\\\(\frac{9}{8} )=\frac{9*8*7*6*5*4*3*2*1}{8*7*6*5*4*3*2*1*1!} \\\\(\frac{9}{8} )=\frac{362880}{40320*1!} \\\\(\frac{9}{8} )=\frac{362880}{40320*1} \\\\(\frac{9}{8} )=\frac{362880}{40320} \\\\(\frac{9}{8} )=9[/tex]
(f)
[tex](\frac{10}{4} )=\frac{10!}{4!(10-4)!} \\\\(\frac{10}{4} )=\frac{10*9*8*7*6*5*4*3*2*1}{4*3*2*1*6!} \\\\(\frac{10}{4} )=\frac{3628800}{24*6*5*4*3*2*1} \\\\(\frac{10}{4} )=\frac{362880}{17280} \\\\(\frac{10}{4} )=21[/tex]
A city has a population of 2.8 million people. 45% of the population are male.
How many females live in the city?
Answer:
1.54 million
Step-by-step explanation:
If 45% of the population are males, then 55% are females. 55%=55/100=0.55. Multiplying this by the total population of the city, you can find that it has 0.55*2,800,00=1.54 million females. Hope this helps!
Answer:
the answer for this question is 1.54×10^6
Step-by-step explanation:
45%- Male
100%-45%=55%
55/100×(2.8×10^6)=1540000
=1.54×10^6
x^2+4x+y^2-10y+20=30 find the center of the circle by completing the square
Answer:
a). Center of the circle = (-2, 5)
b). Equation of the line ⇒ y = [tex]-\frac{4}{5}x+\frac{58}{5}[/tex]
Step-by-step explanation:
Equation of the circle is,
x² + 4x + y²- 10y + 20 = 30
a). [x² + 2(2)x + 4 - 4] + [y²- 2(5)y + 25] - 25 + 20 = 30
[x² + 2(2)x + 4] - 4 + [y² - 2(5)y + 25] - 25 + 20 = 30
(x + 2)² + (y - 5)²- 29 + 20 = 30
(x + 2)² + (y - 5)²- 9 = 30
(x + 2)² + (y - 5)² = 39
By comparing this equation with the standard equation of a circle,
Center of the circle is (-2, 5).
b). A point (2, 10) lies on this circle.
Slope of the line joining this point to the center (-2, 5),
[tex]m_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
= [tex]\frac{10-5}{2+2}[/tex]
= [tex]\frac{5}{4}[/tex]
Let the slope of the tangent which is perpendicular to this line is '[tex]m_{2}[/tex]'
Then by the property of perpendicular lines,
[tex]m_{1}\times m_{2}=-1[/tex]
[tex]\frac{5}{4}\times m_{2}=-1[/tex]
[tex]m_{2}=-\frac{4}{5}[/tex]
Now the equation of the line passing though (2, 10) having slope [tex]m_{2}=-\frac{4}{5}[/tex]
y - y' = [tex]m_{2}(x-x')[/tex]
y - 10 = [tex]-\frac{4}{5}(x-2)[/tex]
y - 10 = [tex]-\frac{4}{5}x+\frac{8}{5}[/tex]
y = [tex]-\frac{4}{5}x+\frac{8}{5}+10[/tex]
y = [tex]-\frac{4}{5}x+\frac{58}{5}[/tex]
Therefore, equation of the line will be, y = [tex]-\frac{4}{5}x+\frac{58}{5}[/tex]
The volume of a cube depends on the length of its sides. This can be written
in function notation as ws). What is the best interpretation of v(4) = 64?
Answer:
46=-76.333(6×7)-÷45%€7*÷00.0001×6÷45+2
use factoring to solve
3x^2-11x-6=0
Answer:
x = -0.62 and x = 4.29
These values are approximations !
Step-by-step explanation:
You can not use Factoring to solve this equation. Perhaps you did not use the exact notation as in the original question?
Anyway, to solve it, you can still use the ABC formula.
3x²-11x-6=0
a = 3
b =-11
c = -6
x = [11 + √{121 -4(3 *-6)} ]/ 2*3
x = [11 + √{121 -4(-24)} ]/ 6
x = [11 + √{121 + 96} ]/ 6
x = [11 + √{217} ]/ 6
x = 4.29 This is an approximation !
x = [11 - √{121 -4(3 *-6)} ]/ 2*3
x = [11 - √{121 -4(-24)} ]/ 6
x = [11 - √{121 + 96} ]/ 6
x = [11 - √{217} ]/ 6
x = -0.62 This is an approximation !
extra: see the graph.
which expression is equivalent to 4(5x+3y)?
Just number 4
Answer:
Answer choice 4
Step-by-step explanation:
4(5x+3y)
By distributive property, this can be rewritten as:
4(5x)+4(3y)=
20x+12y
or answer choice 4. Hope this helps!
Answer:
4) 20x+12y
Step-by-step explanation:
You have to use distivtive property
I hope this helps
plz help ASAP i would thx u alot
Answer:
The second answer
Step-by-step explanation:
Which verbal expression is represented by 2(x + 4)?
A. twice the sum of a number and four
B. the sum of two times a number and four
C. two times the difference of a number and four
D. twice the product of a number and four
Answer:
A.
Step-by-step explanation:
The sum of a number, x, and 4 just means x + 4.
If we take twice this sum, it implies that we take the resulting number and multiply it by 2.
Our resulting number is x + 4, so we are left with 2(x + 4).
I hope this helps!
The correct answer is twice the sum of a number and four.
What is an expression?Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given an expression, 2(x+4)
The sum of a number, x, and 4 just means x + 4.
Taking twice of the sum, it implies that we take the resulting number and multiply it by 2.
The resulting number is x + 4, so it is 2(x + 4).
Hence, The correct answer is twice the sum of a number and four.
For more references on expression, click;
https://brainly.com/question/14083225
#SPJ2
solve v=1/3 bh for b
Answer:
3v/h = b
Step-by-step explanation:
1/3 is a given fraction and to get rid of it you must multiply by it's reciprocal of 3/1 or 3. You will also multiply the other side by 3
3 * v = (1/3 bh) * 3 --> 3v = bh
divde both sides by h and you get 3v over h = b
3v/h = b
Hope this helps!
Answer:
3v/h = b
Step-by-step explanation:
v = 1/3bh
3v = bh
3v/h = b
What effect will 4 have on the graph of y = sin(x)?
Answer:
The effect of 4 on the graph of y = sin(x) + 4 is that it shifts the graph by 4 units up.
The effect of 4 on the graph of y = sin(4x) is that its period would be 1/4th of 2π, i.e it completes one oscillation every π/2 units.
Step-by-step explanation:
The graph of y = sin(x) is a wave that keeps oscillating between -1 and 1, and repeats its shape every 2π units. The maximum value of the graph is 1 unit with a range of [-1, 1]
The graph of y = sin(x) is referred to as a periodic function because it repeats itself infinitely.
The effect of 4 on the graph of y = sin(x) + 4 is that it shifts the graph by 4 units up.
The effect of 4 on the graph of y = sin(4x) is that its period would be 1/4th of 2π, i.e it completes one oscillation every π/2 units.
Jade buys a blouse and a skirt for 3/4 of their original price. Jade pays a total of $31.50 for the two items. If the original price of the blouse is $18, what is the original price of the skirt?
Answer:
The skirt was originally 24 dollars
Step-by-step explanation:
3/4 ( b+s) = 31.50
where b is the original price of the blouse and s is the original price of the skirt
b = 18
3/4 ( 18+s) = 31.50
Multiply each side by 4/3
4/3 * 3/4 ( 18+s) = 31.50 *4/3
18+s =42
Subtract 18 from each side
18+s-18 = 42-18
s =24
The skirt was originally 24 dollars
Jasmine is traveling at 45 miles per hour. At that same rate, how long will it take her to travel 135 miles?
1. 1/3 hours
2. 3 hours
3. 3.5 hours
4. 5 hours
Answer:the answer is 2 it will take jasmine 3hrs to travel 135 miles
Step-by-step explanation:
Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!
Answer:
-6 =x
Step-by-step explanation:
g(x) = -3x -8
g(x) = 10
10 = -3x-8
Add 8 to each side
10+8 = -3x-8+8
18 = -3x
Divide by -3
18/-3 = -3x/-3
-6 =x
The volume of a rectangular tank is 20 000 cm3 . Given that the length is 40 cm and width is 25 cm, find its height
[tex]answer \\ 20 \: cm \\ solution \\ volume = 20000 \: {cm}^{3} \\ length = 40 \: cm \\ breadth = 25 \: cm \\ height = \\ now \\ v = l \times b \times h \\ \: \: \: \: \: \: or \: 20000 = 40 \times 25 \times h \\ or \: 20000 = 1000 \times h \\ or \: h = \frac{20000}{1000} \\ h = 20 \: cm \\ hope \: it \: helps[/tex]
Answer:
[tex]20cm[/tex]
Step-by-step explanation:
[tex]volume = length \times width \times height \\ 20000= 40 \times 25 \times h \\ 2000 0= 1000h \\ \frac{20000}{1000} = \frac{1000h}{1000} \\ h = 20[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
I need the answer please
Answer:
AC=22
AB=11
BC=33
Step-by-step explanation:
[tex]2(3x - 4) = 2x + 12 [/tex]
6x-8=2x+12
12+8=6x-2x
20=4x
x=5
∴AC=2(5)+12=22
∴AB=3(5)-4=11
∴BC=7(5)-2=33
If f(x)=x^2+1 and g(x) = x-4 which value is equivalent to (f•g)(10)
Rewrite 6/4 as a percent. Make sure to label your answer with %.
Answer:
to make a number a percentage you have to multiply by 100%.Mmmh so you take the 6/4 and multiply it by 100%.Which will give you 150%. The percentage is higher than 100% because in the fraction 6/4 the numerator is higher than the denominator
A rectangle has an area of 590.4m2
One of the sides is 8.2m in length.
Work out the perimeter of the rectangle.
Answer:
hope this helps you
Does anyone know the answer ?
Answer:
Using Piragorean Theorem:
[tex]x=\sqrt{7^2+10^2}=\sqrt{100+49}=\sqrt{149}[/tex]
Answer:
[tex]\sqrt{149[/tex]
Step-by-step explanation:
7² + 10² = 12.21²
49 + 100 = 149
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
Use the identity (x^2+y^2)^2=(x^2−y^2)^2+(2xy)^2 to determine the sum of the squares of two numbers if the difference of the squares of the numbers is 5 and the product of the numbers is 6.
Answer:
Step-by-step explanation:
(x^2+y^2)^2=(x^2)^2+2x^2y^2+(y^2)^2
Adding and substracting 2x^2y^2
We get
(x^2+y^2)^2=(x^2)^2+2x^2y^2+(y^2)^2 +2x^2y^2-2x^2y^2
And we know a^2-2ab+b^2=(a-b)^2
So we identify (x^2)^2 as a^2 ,(y^2)^2 as b^2 and -2x^2y^2 as - 2ab. So we can rewrite (x^2+y^2)^2=(x^2 - y^2)^2 + 2x^2y^2 + 2x^2y^2= (x^2 - y^2)^2+4x^2y^2= (x^2 - y^2)^2+2^2x^2y^2
Moreever we know (a·b·c)^2=a^2·b^2·c^2 than means 2^2x^2y^2=(2x·y)^2
And (x^2+y^2)^2=(x^2 - y^2)^2 + (2x·y)^2
At Shimla, temperature was -1℃ on Saturday and rose by 3℃ on Sunday. What was the temperature on Sunday?
Answer:
labron james
Step-by-step explanation:labron james labron james labron james
Answer:7c
Step-by-step explanation:
idk.
1. When simplified, 17a - 14b - 20a - 2b is equal to
Answer:
- 3a -16b
Step-by-step explanation:
help!!! ill mark brainliest!
Answer:
90
Step-by-step explanation:
My brother got that same question and he did it with his class
what is the inverse of the function
Answer:
[tex]g^{-1}(x)=-\frac{3}{2}(x+5)[/tex]
What are the sums? Complete the equations.
-10 + 50
Answer:
40
Step-by-step explanation:
-10+50
40
Graph the Inequality.
Answer:
x ≤ -7
Step-by-step explanation:
There is a filled in circle which means that it is either ≤ or ≥.
The graph is going to the left, which means it is ≤
The starting number is -7.
x ≤ -7
