Answer:
[tex]y=\displaystyle -\frac{1}{4}x+\displaystyle \frac{15}{4}[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept.
1) Determine the slope (m)
[tex]m=\displaystyle \frac{y_2-y_1}{x_2-x_1}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
In the graph, two points are indicated: (-5,5) and (3,3). Plug these into the equation:
[tex]m=\displaystyle \frac{3-5}{3-(-5)}\\\\m=\displaystyle \frac{3-5}{3+5}\\\\m=\displaystyle \frac{-2}{8}\\\\m=\displaystyle \frac{-1}{4}[/tex]
Therefore, the slope of the line is [tex]\displaystyle -\frac{1}{4}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\displaystyle -\frac{1}{4}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=\displaystyle -\frac{1}{4}x+b[/tex]
Plug in one of the points we used earlier and solve for b:
[tex]3=\displaystyle -\frac{1}{4}(3)+b\\\\3=\displaystyle -\frac{3}{4}+b\\\\3+\displaystyle \frac{3}{4}=b\\\\\frac{15}{4} =b[/tex]
Therefore, [tex]\displaystyle \frac{15}{4}[/tex] is the y-intercept. Plug this back into [tex]y=\displaystyle -\frac{1}{4}x+b[/tex]:
[tex]y=\displaystyle -\frac{1}{4}x+\displaystyle \frac{15}{4}[/tex]
I hope this helps!
Martha has a French cookie recipe that calls for baking the cookies for 14 to 18 minutes at 180∘C. Her oven measures temperature in Fahrenheit only. At what temperature in degrees Fahrenheit should she set her oven to make the cookies per the recipe?
Answer:
180° Celsius is equal to approximately 356° Fahrenheit
Step-by-step explanation:
I hope this helps.
The value of 180 degree Celcius in Fahrenheit is 356.
What is unit conversion?Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Martha has a French cookie recipe that calls for baking the cookies for 14 to 18 minutes at 180∘C.
The temperature in Fahrenheit will be calculated as,
F = 1.8C + 32
F = ( 1.8 x 180 ) +32
F = 356
Therefore, the value of 180 degree Celcius in Fahrenheit is 356.
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−1 4/5−(−2 7/8)
4 3/4−(−1 1/12)
−1 4/5−(−2 7/8)
3 1/3-5
−1/3−(−1/2
Answer:
1) 43/40
2) 35/6
3) 43/40
4) -5/3
5) 1/6
Step-by-step explanation:
1) -1 4/5 = -(1*5 +4)/ 5= -9/5
or 1= 5/5 so -1 4/5= -( 5/5+ 4/5)=-9/5
-2 7/8= -(2*8+7)/8=-23/8
=> -9/5 - ( -23/8)= -9/5 + 23/8 = (( -9*8)+(23*5))/40= (-72+ 115)/40
= 43/40
2) 4 3/4= (4*4+3)/4= 19/4
-1 1/12= -(1*12+1)/12= -13/12
=> 19/4 - (-13/12)= 19/4 + 13/12 = ((19*3)+13)/12= (57+13)/12= 35/6
3) same like 1)
4) 3 1/3 = (3*3+1)/3= 10/3
=> 10/3 -5= (10- 3*5)/3= (10-15)/3= -5/3
5) -1/3 + 1/2= ((-1*2)+(1*3))/6 = (-2+3)/6= 1/6
Hi I have some trouble understanding Mean,Median and Mode Comparisions can someone please help me with this problem
What’s the answer???
Answer:
Step-by-step explanation:
Please help! Please don't answer if you don't know!
Answer:
[-0.25 1.25]
[ ]
[-0.75 2.75]
If not satisfied than..
You can write it in other way as show in step by step
Step-by-step explanation:
Step 1:
First of all find the determinate.
Cross multiply the number 11 ✖ -1
detA = 11 × -1= -11 ---eq1
And now cross multiply the number 3 ✖ - 5
detA = 3 × -5= -15 ---eq2
Now we use eq 1 and 2
detA = (-11)-(-15)
Minus cancels minus
So it becomes
detA = -11 + 15
= 4
Step 2:
We find adjacent of the given.
[11 -5]
adjA= [ ]
[3 -1 ]
We change the places. The number 11 goes to in place of -1. -1 goes in place of 11.
And we change the signs of -5 and 3. -5 becomes 5 and 3 becomes -3.
We get
[-1 5]
adjA = [ ]
[-3 11]
Step 3:
Now we use the following formula
1
A^-1 = -------- adjA
detA
1 [-1 5]
A^-1 = ------- [ ]
4 [-3 11]
And now multiply
1
---- with each number of adjA.
4
And than subtract..
And you will get the inverse matrix
If the answer comes same than that's the answer for inverse matrix
Thank you.
a) When I add 8 the answer is 30.
Answer:
if we add 8 then the answer will be 30"
because
if 22is added 8 then it became 30
22+8= 30
simple
just need help with math before its due tomarrow
Answer:
(6_4)(6+4)
6(6+4)-4(6+4)
36+24-24-16
36-16
Pls help fast, with steps
Answer:
answer is D
Step-by-step explanation:
PAR = 25
RPA= 25
PRA= 130
PRQ = 180- 130 = 50
PRQ =PQR = 50
X= 180 +(50 +50) =80
6/12 divided by 1/4
Answer:
the answer is 2
Step-by-step explanation:
hope it helps
Answer:
2
Step-by-step explanation:
according to my calculator
PLSSS HELPPPPP- Evaluate the expression. 1 1 4 25 3 Write your answer as a fraction or as a whole or mixed number.
Answer:
Mixed number form 4 4/5 exact form 24/5
Step-by-step explanation:
hope this helps
Answer:
Step-by-step explanation:
8/15
Find the coordinates of the point 7/10 of the way from A to B.
Answer:
The coordinates are (6.5, 1.7).
Step-by-step explanation:
The difference between A and B's x-coordinate is 15. 7/10 of this is 10.5, which added to -4 gives us an x-coordinate of 6.5.
The difference between A and B's y-coordinate is 11. 7/10 of this is 7.7, which added to -6 gives us a y-coordinate of 1.7.
Therefore, the coordinates are (6.5, 1.7).
Ray has gone 3/5 of a kilometre. How many metres has he gone?
Step-by-step explanation:
3/5 of a kilometre
=3/5×1000 meters
=3000/5 meters
=600 meters
Answer:
600 metres
Step-by-step explanation:
1 kilometre equals 1,000 metres.
[tex]\frac{3}{5}[/tex](1000) = 600 metres
If you need more clarification, ask me in the comments. Thanks!
Which expression is equal to (x + 3)2?
A. x2 + 6
B. 2 +9
C. x2 + 6x + 9
D. 12 + 3x + 9
Answer:
C. x^2 + 6x + 9
Step-by-step explanation:
(x+3)^2
using formula (a+b)^2= a^2 + 2ab + b^2,
(x)^2 + 2(x)(3) +(3)^2
=> x^2 + 6x + 9
Answer:
A
Step-by-step explanation:
(x)×2= 2x
(3)×2=6
x2 + 6....
true or false? in a two-column proof, the left column states your reasiong
PLEASE HELP!!!!!! Im being timed
Answer:
9,6 hope this helps
A certain forest covers an area of 4900 km². Suppose that each year this area decreases by 7%. What will the area be after 8 years?
Use the calculator provided and round your answer to the nearest square kilometer.
Answer:
area after 8 years is 2156km²
Step-by-step explanation:
Area of forest=4900 km²
decrease in area in 1 year=4900km² × 7%
decrease in area in 1 year= 343km²
decrease area in 8 years=343km² × 8
=2744km²
Remaining area= (4900-2744)km²
=2156km²
Note:If you have any question about it please ask.
least common multiple of 2 and 3?i forgot how to do this completly over the summer lol
Answer:
6
Step-by-step explanation:
Multiples of 2: 2, 4, 6, 8, 10
Multiples of 3: 3, 6, 9, 12, 15
Brainliest, please!
the basics of geometry
Answer:
go to MME click revise gcse maths and it would say geomatry foundtion Step-by-step explanation:
Answer:
Step-by-step explanation:
point: the basic unit of geometry
line: it extends to 2 directions without any end
line Segment: it is a line but has end points eg the length of you book
(And there are a few types of lines like parallel lines and intersecting lines you can check that on You tube)
Rays: Rays are like line segments but has only 1 end point
curves: do i have to explain its just some squiggles
Polygons: polygons are shapes that are made up of straight line Segments
polygons are named based on the number of sides it has
3 sides: TRIANGLES
4 sides: QUADRILATERALS
5 sides: PENTAGONS
6sides : HEXAGONS and there are many more...
THERE WAY TOO MUCH LIKE ANGLES, INTEROR POINT, EXTEROR POINT, CIRCLES ETC sorry i can't explain that much......
PLZZZZ help it will mean a lot :)
3x = 18
Divide both sides by 3 and simplify
x=6
Answer:
Step-by-step explanation:
assuming that you need to find the value of x
3x = 18
-divide both sides by 3
3x/3 = 18/3
-use the facts that 3/3 =1 and 18/3 = 3*6/3 = 6
x = 6
Johhny Badoingas collects $0.12 from a 1000 people, how much does he have altogether. Now he has to share that total product with 100 people, how much does each person get?
Find total collected by multiplying the amount per person by number of people:
1000 x 0.12 = $120.00
Total collected = $120.00
Divide total collected by number of people:
120.00 / 109 = $1.20
Each person gets $1.20
please help ill mark brainliest and add explanation too pleas
Step-by-step explanation:
In A,
length=3units
width=2 units
area=length×width
area=3×2 sq.units
area=6 sq.units
In B,
length=1unit
width=4units
area=length × width
area=1unit × 4units
area= 4 sq.units
Note:if you need to ask any question please let me know.
Change the following fraction to a decimal. 8 4/5 = ?
Answer:
The answer is 8.8
Step-by-step explanation:
4/5 x 20/20 = 80/100
80/100 = .8
Step-by-step explanation:
[tex]8 + \frac{4}{5} = \frac{40 + 4}{5} \\ = \frac{44}{5} = 8.8 \\ thank \: you[/tex]
Given that f(x)=2x-8, determine the average rate of change over the interval [2, 8].
Answer:
2
Step-by-step explanation:
The average rate of change over [2, 8] is the change in the y-values over the change in the x-values.
[tex]\frac{f(8) - f(2)}{8 - 2}[/tex]
[tex]f(8) = 2(8) - 8 = 16 - 8 = 8[/tex]
[tex]f(2) = 2(2) - 8 = 4 - 8 = -4[/tex]
[tex]\frac{8 - (-4)}{8-2} = \frac{8 + 4}{8-2} = \frac{12}{6} = 2[/tex]
HELP ASAP!!!
The line (y-1)=(2/3)(x+1) contains point (a,-3).
What is the value of a? Show
your work.
Answer:
-7
Step-by-step explanation:
The line (y-1)=(2/3)(x+1) contains point (a,-3)
=> (-3-1) = (⅔)(a+1)
-4 = (⅔)(a+1(
(a+1)= -4 ÷ ⅔
a + 1 = -4 × 3/2
a+ 1 = -6
a = -6-1
a = -7
The value of 'a' will be;
⇒ a = - 7.
What is substitution method?To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The equation of line is,
⇒ (y - 1) = (2/3) (x + 1)
And, The point on the line = (a, - 3)
Now,
Since, The point on the line = (a, - 3)
Hence, It satisfy the equation of line.
Substitute x = a and y = - 3, we get;
⇒ (y - 1) = (2/3) (x + 1)
⇒ (- 3 - 1) = (2/3) (a + 1)
⇒ - 4 × 3 = 2a + 2
⇒ - 12 - 2 = 2a
⇒ 2a = - 14
⇒ a = - 7
Thus, The value of a = - 7
Learn more about the substitution method visit:
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4z - 15 = 4z + 11
How would this one work?
An ant walk about 3 inches per second how many miles per day could an ant travel if it walked without a break?
Answer:
Step-by-step explanation:
45/11 miles per day or ~4.091 miles per day
Step-by-step explanation:
3 inches per second
24 hours in a day
60 minutes in 1 hour
60 seconds in 1 minute
Amount of inches per minute: 3 x 60 = 180 inches
Amount of inches per hour: 180 x 60 = 10,800 inches
Amount of inches per day 10,800 x 24 = 259,200 inches
To find the number of feet that 259,200 inches is, divide by 12.
259,200/12 = 21,600 feet per day
To find the number of miles that 21,600 feet is, divide by 5280.
21,600/5280 = 45/11 = 4.09090909091 = ~ 4.091
So, an ant could walk 45/11 miles per day or ~4.091 miles per day if it walked without taking a break.
9. El radio de una pelota de básquetbol es aproximadamente 3.6 veces mayor
que el radio de una pelota de tenis. ¿Cuántas veces mayor es el volumen
de una pelota de básquetbol que el volumen de una pelota de tenis?
4
Nota: El volumen de una esfera es V = -tr
Answer:
so the volume of the basketball is 46.656 times greater than the volume of the tennis ball.
Step-by-step explanation:
Grace and her dad are planning to attend the state fair. An adult ticket is $15.00. The price of an adult ticket is one half the price of a student ticket plus $8.00. Write an equation to determine how much Grace will pay for a student ticket.
one halfx + 8 = 15
one halfx − 8 = 15
one halfx + 15 = 8
one halfx − 15 = 8
Answer:
Option 1 is the correct equation.
Step-by-step explanation:
x = price of the student ticket.
One half price of x + $8 = adult ticket price ($15)
Answer:
The correct answer is A
Because taking the student ticket to be x
one half of x + 8 =15
How many solutions does the system have?
8x + 2y = 14
82 + 2y = 4
you can solve the equestion by many rules , but in my point of view the easiest rule is subtraction/addition and subtition method .
Ans X=11.5
Y = -39
8x+2y=14 eqn.......1
82+2y=4 eqn .......2
2y= -78 (4-82)
y = - 39
putting value of y in eqn ..1
we get,
8x+ 2×(-39) =14
8x= 14+78
8x=92
x = 92÷8
x=11.5
it's a subtition method..
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