Answer:
The equation is y = x-2
The equation of the line will be y = x - 2.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
The slope of the line is,
[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the given table consider the two points as,
( 14, 12 )
( 13, 11 )
The slope is calculated as,
[tex]m = \dfrac{12 - 14}{11-13}[/tex]
m = 1
The y-intercept is calculated as,
y = mx + c
y = x + c
12 = 14 + c
c = -2
The equation of the line can be written as,
y = mx + c
y = x - 2
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help please, I need it fast
Answer:
(d) 1 / 2^8
this is the answer
both equations answers are kind of same, so (d) is the answer for your question
if this helped you please brainliest?
Answer:
A
Step-by-step explanation:
using the rule of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , then
[tex]\frac{2^{-3} }{2^{-5} }[/tex] = [tex]2^{-3-(-5)}[/tex] = [tex]2^{(-3+5)}[/tex] = 2² → A
-2/3 + [3/5 + -5/7]
HELP
Answer:
[tex]=-\frac{82}{105}[/tex]
Step-by-step explanation:
[tex]-\frac{2}{3}+\left[\frac{3}{5}+\left(-\frac{5}{7}\right)\right][/tex]
[tex]\frac{3}{5}+\left(-\frac{5}{7}\right)[/tex]
[tex]=-\frac{4}{35}[/tex]
[tex]=-\frac{2}{3}-\frac{4}{35}[/tex]
[tex]=-\frac{82}{105}[/tex]
[tex]\huge\text{Hey there\bf!}[/tex]
[tex]\mathsf{-\dfrac{2}{3} + [\dfrac{3}{5} + -\dfrac{5}{7}]}[/tex]
[tex]\mathtt{= - \dfrac{2}{3} + \dfrac{3}{5} + - \dfrac{5}{7}}[/tex]
[tex]\mathtt{= - \dfrac{2}{3} + \dfrac{3}{5} - \dfrac{5}{7}}[/tex]
[tex]\mathtt{-\dfrac{2\times35}{3\times35} + \dfrac{3\times21}{5\times21} - \dfrac{5\times15}{7\times15}}[/tex]
[tex]\mathtt{= -\dfrac{70}{105} + \dfrac{63}{105}- \dfrac{75}{105}}[/tex]
[tex]\mathtt{= \dfrac{-70 + 63 - 75}{105 + 0 - 0}}[/tex]
[tex]\mathtt{= \dfrac{-7 - 75}{105 - 0}}[/tex]
[tex]\mathtt{= \dfrac{-82}{105}}[/tex]
[tex]\mathtt{= -\dfrac{82}{105}}[/tex]
[tex]\huge\text{Therefore your answer should be:}[/tex]
[tex]\huge\boxed{\mathtt{\mathtt{= -\dfrac{82}{105}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]How much are bike uses a petrol and oil mixture in the ratio 17:3.
A) how much of each is there in 25 litres of mixture?
By using the given ratio, we will see that 21.25L is petrol and 3.75L of oil.
How much of each component is used?We know that Petrol and Oil is used in a mix with a ratio of 17:3
Then, in 25 liters, then first we need to divide this by 20 (the sum of the two numbers of the ratio), we get:
25 L/20 = 1.25L
So we divided 25 liters in 20 parts. 17 of these parts are petrol, and 3 of these parts are oil
Then:
17*1.25L = 21.25L of petrol
3*1.25L = 3.75L of oil.
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Factories the following quadratic:
x^2 - 9x + 20
Answer:
[tex]\sf factorisation\hookrightarrow \: (x- 4)(x - 5)[/tex]
Step-by-step explanation:
Given equation
[tex] \sf {x}^{2} - 9x + 20 [/tex]
Rules for factorisation,
distribute the middle term in such a way that constant of each term when multiplied outputs the last number.
The middle term -9x can be written as sum of -5x and -4x, and when we multiply -5 with -4 it turns+20.
rewriting equation,
[tex] \sf \hookrightarrow {x}^{2} - 5x - 4x + 20 \\ \sf \hookrightarrow x(x - 5) - 4(x - 5) \\ \sf \hookrightarrow \: (x- 4)(x - 5)[/tex]
[tex] \sf factorisation\hookrightarrow \: (x- 4)(x - 5)[/tex]
Thanks for joining brainly community!
Answer:
(x - 5)(x - 4)[tex] \: [/tex]
Step-by-step explanation:
So, here we have to factorise the polynomial :
[tex]\\ \longrightarrow \sf \qquad {x}^{2} - 9x + 20\\ \\[/tex]
We are to find two numbers such that,
[tex]\\ {\longrightarrow \pmb{\sf {\qquad p + q = 9 \:}}} \\ \\[/tex]
[tex]\\ {\longrightarrow \pmb{\sf {\qquad p \times q = 20 \:}}} \\ \\[/tex]
The two numbers are 4 and 5, so
[tex]\\ \longrightarrow \sf \qquad {x}^{2} - 5x - 4x+ 20\\ \\[/tex]
Finding common factors :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad {x} (x - 5) - 4(x - 5) \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (x - 5) (x - 4) \:}}} \\ \\[/tex]
Some points to know :
Factorisation is the reverse process of multiplucation.The Factorisation is the process of finding two or more expressions such that their product is the given expressionDetermine the perimeter
Answer:
139
Step-by-step explanation:
14+14+28+33+33+17 = 139
Answer: 150 feet
Step-by-step explanation:
bottom blank = top sides added
bottom blank = 14 + 33 = 47
missing right piece is left side and right side subtracted
missing right piece = 28 - 17 = 11
add all sides
28 + 14 + 11 + 33 + 17 +47 = 150
150 feet = perimeter
Assume your friend just took an exam made up of 20 true/false questions. further assume that your friend had no knowledge relevant to the questions, and consequently just guessed the answer to each question what is the probability your friend will pass the exam?
Answer:
10/20 or 1/2 it is 50% chance that she pass and 50% that she fail
Step-by-step explanation:
The probability of your friend passing the exam by pure guessing is 0.176 or about 17.6%.
The probability of guessing correctly on any individual question is 0.5 (50%).
If the passing grade is, for example, getting at least 50% of the questions correct, your friend needs to get 10 or more questions correct.
The probability of guessing correctly on exactly k questions out of 20 is given by the binomial probability formula:
[tex]P(X = k) = C(n, k) * p^k * (1 - p)^{(n - k)[/tex]
For k = 10 (minimum number of correct answers to pass):
[tex]P(X = 10) = ^{20}C_{10} * (0.5)^{10} * (1 - 0.5)^{(20 - 10)[/tex]
P(X = 10) = 0.176197052
So, the probability is 0.176 or about 17.6%.
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Dogs lap water to drink it. Every 3 minutes a dog laps water, it gets 30 ounces. If a dog needs 155 ounces per day, predict how many minutes the dog will lap water.
Answer:
15 minutes and 51 seconds
Step-by-step explanation:
155/30 = 5.17
5.17 x 3 = 15.51
It will take the dog approximately 15.5 minutes to lap enough water to consume 155 ounces.
Here, we have to predict how many minutes a dog will lap water to consume 155 ounces per day, we can set up a proportion based on the given information:
1 dog laps water every 3 minutes and gets 30 ounces.
Therefore, in 1 minute, a dog laps 30/3 = 10 ounces.
Now, we want to find out how many minutes it takes for the dog to consume 155 ounces:
Let x be the number of minutes the dog laps water to consume 155 ounces.
Proportion:
(Ounces lapped in x minutes) / (Ounces lapped in 1 minute) = (Total ounces needed) / (Ounces lapped in 1 minute)
(10x) / 10 = 155 / 1
Simplify the equation:
10x = 155
Now, solve for x:
x = 155 / 10
x = 15.5
So, it will take the dog approximately 15.5 minutes to lap enough water to consume 155 ounces.
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The radius of a circle is 16 yards. What is the circle's circumference?
Answer:
100.5309649149
Step-by-step explanation:
circumference = 2π(r)
Since you already have the radius of the circle, you would have to multiply the radius by 2 to get the diameter which is the full width of the circle . Then, multiply the result by π, or 3.14 and then round how you are asked to.
Use the drawing tools to form the correct answer on the graph.
Graph this system of equations on the coordinate plane:
y = -3x + 3
y = 1/2x - 4
Answer:
The answer would be (2,3) or you can find the answer in desmos
Step-by-step explanation:
You can input the coordinates in Desmos graphing calculator for the graph
can anybody give me the awnser?
Answer:
48
Step-by-step explanation:
Perimeter is the sum of all the side lengths, so add up the ones you know so far:
4+6+9+13+11
43 + x
x = 11-6
x = 5
43+5 = 48
Hope this helps!
Answer:
48 ft
Step-by-step explanation:
unknow side = 11 - 6 = 5ft
Perimeter = Sum of all sides
= 4 + 11 + 13 + 5 + 9 + 6
= 48 ft
AABC = AADF, AB = 16,
mZB = 59° m2D = [ ? ]°.
=
Answer:
A+B=C
Step-by-step explanation:
[tex]a + b {15}^{2} [/tex]
Answer:
It's 59
Step-by-step explanation:
There congruent so they would equal the same amount.
A store pays $75 for a phone. The customer pays $112.50 for the phone. What percent mark up was put on the phone?
Answer:
50% markup
Step-by-step explanation:
112.5-75=37.5
Since you know it is a $37.5 increase, you need to calculate how much of 75 is 37.5
37.5 is HALF of 75, so it was a 50% markup
Answer:
50% increase
Step-by-step explanation:
Firstly, I would do 112.50 - 75 = 37.5
This is an easy question, because we can quickly realise that half of 75 (75 divided by 2) is 37.5.
Because we know that 1/2 = 50% we can say that there was a 50% increase (or mark up) on the phone.
Hope this makes sense! If you have any further questions, let me know.
- profparis
what is the area of the figure below
135in.^2
Step-by-step explanation:
split into 2 shapes :
Triangle
A=bxh/2
= 5 x 6/2
= 15
Rectangle
A=bxh
= 20x6
= 120
120+15=135in.^2
Hope this helps!
Michael collects baseball cards. His cousin gave him 267 cards when he gave up his own hobby. 23 of them were duplicates of cards Michael already has so he put them aside for trading. How many new cards did he add to his collection?
Substitution method please
Answer:
x = 3, y = -2
Step-by-step explanation:
Solving the bottom equation for y, we have y = 4 - 2x. Substitute that into the top equation, and solve for x.
4x - 3(4 -2x) = 18
4x - 12 + 6x = 18
10x - 12 = 18
10x = 30
x = 3
From this, we have y = 4 - 2(3) = 4 - 6 = -2
In the figure below, all lines intersect at point W. What is the value of angle VWX?
Answer: 55
Step-by-step explanation:
Angle VWX and the 55 degree angle are vertical angles.
Year 7 > T.12 Find what percent one number is of another: word problems
Frank's Tea Shop has caffeinated tea and decaffeinated tea. The tea shop served 30
caffeinated teas and 10 decaffeinated teas. What percentage of the teas served were
caffeinated?
Write your answer using a percent sign (%).
Submit
Answer:
8995{c-(-12)4} valva a 2 b 5 c -7
1&5<y x=(2,0)
A town's yearly snowfall in inches over a 10-year period is recorded in this table. what is the mean of the snowfall amounts? 15.0 in. 17.0 in. 17.9 in. 18.9 in
The mean is said to be an arithmetic mean. The mean of the snowfall is 17.9 inches then the correct option is C.
What is Mean?Mean is simply defined as the average of the given set of numbers. The mean is considered one of the measures of central tendencies in statistics. It is the ratio of the sum of the observation to the total number of observations.
A town's yearly snowfall in inches over a 10-year period is recorded in this table.
Year Snowfall in inches
1997 15
1998 11
1999 18
2000 25
2001 13
2002 20
2003 16
2004 28
2005 15
2006 18
Then the mean will be
[tex]\rm Mean = \dfrac{15+11+18+25+13+20+16+28+15+18}{10}\\\\Mean = \dfrac{179}{10}\\\\Mean = 17.9[/tex]
More about the mean link is given below.
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Answer:
C
Step-by-step explanation:
17.9
Find the component form and magnitude of vector RS.
R=(8,-8) S=(4,7)
Thank you!
[tex]\stackrel{R}{(\stackrel{x_1}{8}~,~\stackrel{y_1}{-8})}\qquad \stackrel{S}{(\stackrel{x_2}{4}~,~\stackrel{y_2}{7})}~\hfill \stackrel{\textit{component form}}{(x_2-x_1~~,~~y_2-y_1)} \\\\[-0.35em] ~\dotfill\\\\ (4-8~~,~~7-(-8))\implies (-4~~,~~7+8)\implies \stackrel{\textit{component form}}{(\underset{a}{-4}~~,~~\underset{b}{15})} \\\\\\ ||RS||=\sqrt{a^2+b^2}\implies ||RS||=\sqrt{(-4)^2+15^2}\implies ||RS||=\sqrt{241}[/tex]
help me pls
32a^8b^6 - 12a^5b^4 c^2 / 4a^3 b^3
[tex]❖\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's evaluate ~
[tex]\qquad \tt \dashrightarrow \: \dfrac{32 {a}^{8} {b}^{6} - 12 {a}^{5} b {}^{4} {c}^{2} }{4a {}^{3}b {}^{3} }[/tex]
[tex]\qquad \tt \dashrightarrow \: \dfrac{ \cancel{4 {a}^{3} b {}^{3} }(8{a}^{5} {b}^{3} - 3{a}^{2} b {}^{} {c}^{2}) }{ \cancel{4a {}^{3}b {}^{3}} }[/tex]
[tex]\qquad \tt \dashrightarrow \: 8{a}^{5} {b}^{3} - 3{a}^{2} b {}^{} {c}^{2}[/tex]
Answer:
-_-
Step-by-step explanation:
[tex] \displaystyle{ \frac{32 {a}^{8} {b}^{6} - {12a}^{5} {b}^{4} {c}^{2} }{ {4a}^{3} {b}^{3} } }[/tex]
[tex] \displaystyle{ \frac{32 {a}^{8} {b}^{6} }{ {4a}^{3} {b}^{3} } - \frac{12 {a}^{5} {b}^{4} {c}^{2} }{4 {a}^{3} {b}^{3} } }[/tex]
[tex] \displaystyle{ 8 {a}^{5} {b}^{3} - 3 {a}^{2} {c}^{2} }[/tex]
Can 5+10= be an expression even if the problem does not have an answer?
Answer:
yes, an expression is at least 2 terms
an equation requires two sides
Answer:
yes
Step-by-step explanation:
What is the slope of the line shown in the graph?
(-2,2)
2
(0,1)
0-2
Answer:
= -0.5
Step-by-step explanation:
Slope:
(y2-y1/x2-x1)
Plug in:
(0,1), (-2,2)
2-1/-2-0
-1/2
= -0.5
Answer number 9 please.
Answer:
165 cm³
Step-by-step explanation:
330 cm³ × 1/2 = 165 cm³
Zahra plans to draw a triangle with angles measuring 50 degrees, 60 degrees, and 70 degrees. Which is true about Zahra’s plan?
Zahra cannot make a triangle with these angle measures.
Zahra can only draw one unique triangle with these angle measures.
Zahra can make exactly two triangles with these angle measures.
Zahra can make more than one triangle with these angle measures.
Answer:
Zahra cannot make a triangle with these angle measures.
Step-by-step explanation:
4.
Which point on the number line
represents 0.3?
It's C promise me it's C.
Consider the table of the powers of 8.
A 1-column table with 6 rows. Column 1 is labeled Power of 8 with entries 8 cubed = 512, 8 squared = 64, 8 Superscript 1 = 8, 8 Superscript 0 = a, 8 Superscript negative 1 = b, 8 Superscript negative 2 = c.
Answer these questions about the powers of 8.
What is the pattern as the exponents decrease?
What is the value of each variable in the table?
a =
b =
c =
What is the pattern as the exponents decrease?
Divided by 8
What is the value of each variable in the table?
A= 1
B=1/8
C=1/64
Hope this helped!
Pls consider me for Brainliest!!
Answer:
Step-by-step explanation:
Answer these questions about the powers of 8.
What is the pattern as the exponents decrease?
✔ divided by 8
What is the value of each variable in the table?
a =
✔ 1
b =
✔ 1/8
c =
✔ 1/64
The general strategy for solving an equation of the form x/a= bis to
A. divide both sides by a
O B. divide both sides by b
C. multiply both sides by a
D. multiply both sides by b
E. divide both sides by x
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The general strategy for solving the equation in form of :
[tex]\qquad \tt \dashrightarrow \: \dfrac{x}{a} = b[/tex]
is to multiply both sides by a, because if we multiply both sides by a, then a on left side get cancel out and we get the value of x in terms of a and b.
so, correct choice is C. multiply both sides by a
Best way is multiply with a
By which x gets isolated
Let's check how?
ax/a=bax=abFind the slope of the line that is parallel and perpendicular to the following equation.
-4x - 4y = -2
Answer:
Slope of the line that is parallel: -1
Slope of the line that is perpendicular: 1
Step-by-step explanation:
For the parallel line:
Rewrite your equation to slope-intercept form: y = mx + b
y = mx + b
m = slopeb = y-intercept (when x = 0)-4x - 4y = -2 <== add 4x to both sides
+4x +4x
-4y = 4x - 2 <== divide both sides by -4
/-4 /-4
y = -x + 1/2
The slope of the line that is parallel to this line is -1 (invisible 1 in front of x).
For the perpendicular line:
*Perpendicular lines have negative reciprocals*
Steps:
1. Take your original slope (-1)
2. Flip it (-1/1)
3. Change the sign (1)
For a slope of -1, the reciprocal would be: 1
Hope this helps!
Answer:
Parallel line:
-1
Perpendicular line:
1
Step-by-step explanation:
Let's simplify first!
-4x-4y=-2
-4x=-2+4y
4y=-4x+2
y=-x+0.5
For a parallel line, the slope should be the same
Therefore...
Slope=1
For a perpendicular line, the slope should be the negative reciprocal of the original.
Therefore...
Slope=-(-[tex]\frac{1}{1}[/tex])
=1
Hope this helps! :D
suppose you had D dollars in your bank account. you spent $22 but have at least $28 left. how much money did you have initially? write and solve an inequality that represents this situation.
d-22 > 28; d > 50
d +22 28; d > 72
d + 22 s 28; ds 72
d-22 28; d = 50
Answer:
Answer:
d--22→ 28
d→ 50
Step-by-step explanation:
Let d dollars be the initial amount in your bank account.
We have been given that you spent $22, so the amount left after spending $22 will be: .
We are also told that after spending $22, you have at least $28. This means that the amount left after spending $22 will be greater than or equal to $28.
We can represent this information in an equation as:
Therefore, the inequality represents the initial amount of money you had.
Now let us solve for d by adding 22 to both sides of our inequality.
Therefore, initially you had at least $50.
Still stuck? Get 1-on-1 help from an expert tutor now.
Step-by-step explanation:
brain less
the price of a ps5 is $500 but it is sold out in stores. You can purchase one on ebay for $800. What is the percent change of the price of a PS5
Answer:
[tex]beinggreat78~here~to~help![/tex]
The price increased by %60. Why? Because 160% of 500 is 800, so that must mean the percent only increased by 60.