[tex]J(\stackrel{x_1}{-4}~,~\stackrel{y_1}{-5})\qquad K(\stackrel{x_2}{-6}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-6}-\underset{x_1}{(-4)}}}\implies \cfrac{3+5}{-6+4}\implies \cfrac{8}{-2}\implies -4[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{-4}(x-\stackrel{x_1}{(-4)})\implies y+5=-4(x+4)[/tex]
[tex]y+5=-4x-16\implies y=-4x\underset{\stackrel{\uparrow }{b}}{-21} \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
Answer:
its -21 cus im asian and smart
Step-by-step explanation:
if 2^a=√64 and b/a =3 evaluate a^2+b^2
Answer:
90
Step-by-step explanation:
2^a=√64 2^a=8 a=3
b/3=3 b=3*3 b=9
a²+b²=3²+9²=9+81=90
please help me to solve this problem
Answer:
1/x+2
Step-by-step explanation:
1/x−2 + 4/4-X^2
Factor 4−x^2
1/x−2 + 4/(x−2)(−x−2)
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x−2 and (x−2)(−x−2) is (x−2)(−x−2).
Multiply : 1/x−2 TIMES −x−2/−x−2
−x−2/(x−2)(−x−2) + 4/(x−2)(−x−2)
Since −x−2/(x−2)(−x−2) and 4/(x−2)(−x−2) have the same denominator, add them by adding their numerators.
−x−2+4/(x−2)(−x−2)
Combine like terms in −x−2+4.
−x+2/(x−2)(−x−2)
Extract the negative sign in −x+2.
−(x−2)/(x−2)(−x−2)
Cancel out x−2 in both numerator and denominator.
1/X-2
During a winter storm, the temperature on the top of a
mountain changed an average of -2.5°C every hour
for 12 hours. At noon, the temperature was -5°C.
During the same time period, the temperature at the
bottom of the mountain changed at the rate of
temperature change on the top of the mountain.
What is the hourly rate of temperature change at the bottom of the mountain ?
According to the rate of change, it is found that the hourly rate of temperature change at the bottom of the mountain was of -2.5 ºC per hour.
What is the average rate of change?
The average rate of change of a function is given by the change in the output divided by the change in the input.
In this problem, it is stated that at the top of the mountain, the average rate of change is of -2.5 ºC per hour, and at the bottom of the mountain the rate is the same, hence the hourly rate of temperature change at the bottom of the mountain was of -2.5 ºC per hour.
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A city employee is organizing a race down Broadway, from Beale Street to Grand Avenue. There will be a water station at the beginning and end of the race. There will also be water stations along the route, with no more than one mile between stations. What is the minimum number of water stations for this race
It can be deduced from the multiplication that the minimum number of water stations for this race will be 28.
How to calculate the number of water stationsYour information isn't complete as the figures aren't provided. Therefore, an overview will be given.
In this case, let's assume that there are 14 routes and that there will be a water station at the beginning and end of the routes.
From the scenario, if the racers are to run through all the routes, the number of water stations will be the value of 14 multiplied by 2. This will be:
= 14 × 2 = 28
In conclusion, the correct option is 28.
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Which equation has a missing number that is different from the others?
Answer:
732 + 100 = __
Step-by-step explanation:
732 - 100 = 632
732 + 100 = 832
732 = 632 + 100
732 - 632 = 100
Write an equation for a line parallel to y=-3x + 11 and goes through the point (2,4)
Answer:
equation: y = -3x + 10
Step-by-step explanation:
y = -3x + 11
comparing the formula, y = mx + b
We can determine the slope is -3 and y-intercept is 11.
if the line passes (2,4)
use the formula:
y - y1 = m(x - x1)
y - 4 = -3(x - 2)
y = -3x + 6 +4
y = -3x + 10
(Please someone help me!) (No links!)
Theo wants to use a cookie recipe that makes 36 cookies but he wants to reduce the number of cookies to 24. If the recipe specifies using 4.5 cups of flour, how much flour should he use?
Answer:
3 cups
Step-by-step explanation:
[tex]36 : 24 = 4.5 : x[/tex]
where [tex]x[/tex] is the amount of flour he should use
Therefore,
[tex]\frac{36}{24} = \frac{4.5}{x}[/tex]
Cross multiply: [tex]36x = 4.5 \times 24[/tex]
[tex]\implies 36x = 108[/tex]
Divide both sides by 36: [tex]x = 108 \div 36 = 3[/tex]
Therefore, he should use 3 cups of flour
A catering company sells an 8 lb container of food for $54. Use a model to write a rate for this situation. What does this rate mean?
Answer:
$6.75 per pound
Step-by-step explanation:
$54 ÷ 8lb = $6.75/lb
or a 1:6.75 ratio/rate
The model to write the rate for this situation is 54 / 8 and the rate is $6.75.
What is Unit Rate?Unit rate is the amount of one quantity for a unit amount of the other quantity.
In other words it compares 1 unit of some quantity with different amount of another quantity.
Given that,
A catering company sells an 8 lb container of food for $54.
We have to find the unit rate for the given situation.
Price for 8 lb container of food = $54
Price for 1 lb container of food = 54 / 8
= $6.75
This is the required rate, which means that price for 1 lb container of food is $6.75.
Hence, the unit price for the food sold by catering company is $6.75.
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I need a lot of help pleaseeee help me
linear equation in point slope form for a line that passes through the point (3,2) and has a slope of -4
Answer:
y = -4x + 14
Step-by-step explanation:
We'll use the slope intercept form: y = mx + b
It is given that the slope of -4, so m will be -4 like this: y = -4x + b
We are also given the coordinates where x = 3 and y =2
2 = -4(3) + b
2 = -12 + b
Add 12 to both sides
2 = -12 + b
+ 12 + 12
b = 14
We end up with y = -4x + 14
Under his cell phone plan, Jacob pays a flat cost of $40.50 per month and $3 per
gigabyte. He wants to keep his bill at $48.90 per month. Write and solve an equation
which can be used to determine g, the number of gigabytes of data Jacob can use
while staying within his budget.
Write an equation for the function graphed below. I keep doing this and getting the same answer, what am I doing wrong.
Answer:
(-4(x-2))/((x+2)|(x-4)|)
Step-by-step explanation:
You were so close. I stared at your problem for a
long time when you first posted it. I used a graphing utility to experiment. Your denominator was perfect for getting the vertical asymptotes in the right place. The y-intercept worked. The x-intercept was exactly right. I couldn't get the far right piece of the curve to reflect down in the fourth quadrant.
Hours later...suddenly BAM! ABSOLUTE VALUE pops into my head.
I always thought the numerator should be negative, so that middle portion of the curve that looks like a cubic would start "up to the left" and end "down to the right" But those left and right curves should be like mirror images of each other sort of. So I tried the absolute value and it worked! Good luck with your work. Hope this helps a little.
Find the surface area of each cylinder. Round to the nearest tenth, if necessary.
A cylinder with a radius of 1ft and a height of 10ft.
Answer:
69.12ft
Step-by-step explanation:
I'm
pretty sure
what is -8, -9 across the x-axis and then across the y-axis
this is your answer...........
What is the missing term in the arithmetic sequence below?
-98, ___, -184
Answer: -141 I think
Step-by-step explanation:
Perry spent $22. 50 on material to make necklaces. He used all of the material and made 15 necklaces. How much should Perry charge for each necklace if he wants to make a profit of $60? $1. 50 $4. 00 $5. 50 $7. 0.
Answer:
$5.50
Step-by-step explanation:
22.5/15= 1.5
each necklace costs $1.50
$5.5 x 15(necklaces)=$82.5
82.5-22.5(cost of making all the necklaces)=$60
en una clase de 2 de la eso hay el doble de chicas que de chicos. Si hay 30 alumnos, ¿cuantos chicos y chicas hay en clase?
hay que hacerlo mediante ecuaciones plis que alguien me ayude(todos las operaciones pls)
2 of 10
Find the area of this semi-circle with radius, r = 95cm.
Give your answer rounded to 1 DP.
rcm
The diagram is not drawn to scale.
cm2
A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 1600 seats. The students filled 77% of the seats in the theater. How many 6th graders went on the trip?
Answer:
1232 yan po tamang sagot
you need to divide 1600 to 50% it will be 800
now you have to add 800 to 27% the answer will be 1232
now the finall answer will be 1232
so in the 1600 seats the 77% of children is 1232
#carry on learning
Help me with this one
Answer:
traingle
Step-by-step explanation:
back in the 6 grade i got the bad grades i was in love with my tutor
what's the Answer ???
[tex] \tiny{ \tiny{(5 + 5 - 5 - 5) \div (2 + 2 + 2 - 6)}}[/tex]
Answer:
undefined.
explanation:
→ [tex](5+5-5-5) / ( 2+2+2-6)[/tex]
[ things inside the brackets are necessary to work out first ]
→ [tex](10-10) / (6 - 6 )[/tex]
→ [tex]\frac{0}{0}[/tex]
→ undefined.
[ as [tex]\frac{x}{0}[/tex] is undefined ]
[tex] \boxed{ \sf Answers \: is \: 0}[/tex]
(5 + 5 - 5 - 5) ÷ (2 + 2 + 2 - 6)( 10 - 10 ) ÷ ( 4 - 4 ) 0 / 0 UndefinedHope Helps! :)
How do you find the maximum height of an object with only time
We have the formula h = 16t^2 - 80t
if you solve it you get 5 seconds for the time it is in the air. how do you find the maximum height from this
6000
Step-by-step explanation:
[tex]16t ^{2} - 80t[/tex]
substitute t to 5(seconds)
[tex]16(5) ^{2} - 80(5) \\ 6400 - 400 \\ = 6000[/tex]
What is X if X + 2/3 = 9/10?
Answer:
[tex]x=\frac{7}{30}[/tex]
Step-by-step explanation:
Given the following question:
[tex]x+\frac{2}{3} =\frac{9}{10}[/tex]
In order to find the answer to this question we need to subtract 9/10 from 2/3. To do this we need to find the common denominator, and then subtracting the numerators.
[tex]\frac{9}{10} -\frac{2}{3}[/tex]
[tex]\frac{9}{10} \times3=\frac{27}{30}[/tex]
[tex]\frac{2}{3} \times10=\frac{20}{30}[/tex]
[tex]27-20=7=\frac{7}{30}[/tex]
[tex]x=\frac{7}{30}[/tex]
Hope this helps.
please I need the answers now
#a
[tex]\\ \tt\hookrightarrow 2(2x+1)=30[/tex]
[tex]\\ \tt\hookrightarrow 4x+2=30[/tex]
[tex]\\ \tt\hookrightarrow 4x=28[/tex]
[tex]\\ \tt\hookrightarrow x=7[/tex]
#b
[tex]\\ \tt\hookrightarrow 3(4x-3)=-12[/tex]
[tex]\\ \tt\hookrightarrow 12x-9=-12[/tex]
[tex]\\ \tt\hookrightarrow 12x=-3[/tex]
[tex]\\ \tt\hookrightarrow x=-1/4[/tex]
#c
[tex]\\ \tt\hookrightarrow 4(2x-7)=20[/tex]
[tex]\\ \tt\hookrightarrow 2x-7=5[/tex]
[tex]\\ \tt\hookrightarrow 2x=12[/tex]
[tex]\\ \tt\hookrightarrow x=6[/tex]
#d
[tex]\\ \tt\hookrightarrow 7(3x-4)=63[/tex]
[tex]\\ \tt\hookrightarrow 3x-4=9[/tex]
[tex]\\ \tt\hookrightarrow 3x=13[/tex]
[tex]\\ \tt\hookrightarrow x=13/3[/tex]
#e
[tex]\\ \tt\hookrightarrow 6(3x+3)=-72[/tex]
[tex]\\ \tt\hookrightarrow 18x+18=-72[/tex]
[tex]\\ \tt\hookrightarrow 18x=-90[/tex]
[tex]\\ \tt\hookrightarrow x=-5[/tex]
#f
[tex]\\ \tt\hookrightarrow -2(6x-3)=6[/tex]
[tex]\\ \tt\hookrightarrow 6x-3=-3[/tex]
[tex]\\ \tt\hookrightarrow 6x=0[/tex]
[tex]\\ \tt\hookrightarrow x=0[/tex]
The value of x is 7.
The value of x is -1/4.
The value of x is 7.
The value of x is 4 1/3.
The value of x is -5.
The value of x is 0.
What is the value of x in the equations?2(2x + 1) = 30
The first step is to divide both sides of the equation by 2
2x + 1 = 15
Combine similar terms
2x = 15 - 1
2x = 14
x = 7
3(4x - 3) = -12
The first step is to divide both sides of the equation by 3
4X - 3 = -12 /3
4x - 3 = -4
Combine similar terms
4x = -4 + 3
4x = - 1
x = -1/4
4(2x - 7) = 20
The first step is to divide both sides of the equation by 4
2x - 7 = 5
Combine similar terms
2x = 5 + 7
2x = 12
x = 6
7(3x - 4) = 63
The first step is to divide both sides of the equation by 7
3x - 4 = 9
Combine similar terms
3x = 9 + 4
3x = 13
x = 4 1/3
6(3x + 3) = -72
The first step is to divide both sides of the equation by 6
3x + 3 = - 12
Combine similar terms
3x = -12 - 3
3x = -15
x = -5
-2(6x - 3) = 6
The first step is to divide both sides of the equation by -2
6x - 3 = -3
Combine similar terms
6x = -3 + 3
6x = 0
x = 0
To learn more about division, please check: https://brainly.com/question/194007
Evaluate Functions From a Graph
Answer:
f(-2)= -6
Step-by-step explanation:
Hope this helps :)
Answer:
f(-2)=-6
Step-by-step explanation:
cause
Mckenzie has been saving her earnings from mowing the
neighborhood lawns. She has 22 dollars and wants to spend it
all on games. If each game costs 3 dollars, how many can
Mckenzie buy?
Answer:
7 games
Step-by-step explanation:
22 / 3 =
7.33
Mckenzie can buy 7 games
I am 6 years old my sister is 3 years old I am 30 years old how old is my sister
27
Step-by-step explanation:
you are 6 years old while your sister is 3.
so you're basically 3 years older than her, now that you're 20 let's just subtract 3 from it.
[tex]20 - 3 = 27[/tex]
Answer:
27
Step-by-step explanation:
6-3 = 3
30-3 = 27
may anyone help?? i didnt score correct also can someone please correct me
[tex] \longrightarrow f( \rm x) = (x - 4)(x + 4)[/tex]
[tex] \\ \\ [/tex]
[tex] \longrightarrow f( \rm x) = {(x)}^{2} - {(4)}^{2} [/tex]
[tex] \\ \\ [/tex]
[tex] \longrightarrow f( \rm x) = {x}^{2} - 16[/tex]
Formula used = (a + b) (a - b) = a² - b²
A line that includes the point (7,3) has a slope of 0. What is its equation in slope-intercept form?
Answer:
y=mx+c
7,3
3=0×7+c
c=3
y=0x+3
Your aquarium has 15 fish in it. That is 75% of the total capacity for the aquarium. How many total fish can live in your fish tank?
Answer: 20
Step-by-step explanation:
15 divided by 3 equals 5 and 15 plus 5 equals 20.