The equation of the line passing through the points (12, –4) and (–36, 8) is y = -1/2 x - 1
The formula for calculating the equation of a line is expressed as:
y = mx + b
m is the slope of the line
b is the y-intercept
Given the coordinate points expressed as (12, –4) and (–36, 8)
Get the slope:
m = 8+4/-36-12
m = 12/-48
m = -1/4
Get the y-intercept "b"
Recall that y = mx + b
8 = -1/4(-36) + b
8 = 9 + b
b = 8 - 9
b = -1
Get the required equation.
Recall that y = mx + b
y = -1/2 x + (-1)
y = -1/2 x - 1
Hence the equation of the line passing through the points (12, –4) and (–36, 8) is y = -1/2 x - 1
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Please help me with this question❤️ thanks
Answer:
70
Step-by-step explanation:
that can be 30 ft
Find the equation of the linear function represented by the table y 6 9 12 15 x 1 2 3 4
Answer:
y = 3x+3
Step-by-step explanation:
What is 6.2% of 105 also please include what equation you use to find it
Answer:
6.51
Step-by-step explanation:
105×6.2/100
it gives 6.51
How do you evaluate -98 - 13
Evaluations can only be done with algebraic equations
Answer:
-111
Step-by-step explanation:
Subtract 13 from -98
FIND THE MESURES OF THE ANGLES. FIND TWO. ANSWER CHOICES:
A: 131
B: 180
C: 90
D: 49
Answer:
d . 49
Step-by-step explanation:
180-131 ( supplementary angle)
= 49°
Answer:
=D 49
.......................
Please need it fast will give brainliest At 5:00 A.M. the temperature in Phoenix, Arizona, was already 80°F. By 3:00 P.M. the
temperature had risen to 97°F. What is the difference in the temperatures?
Answer:
The difference is 17 degrees.
Step-by-step explanation:
You want to take your final temperature which in this case is 97°F, and then subtract it from the starting temperature which is 80°F. Doing this will help you find your difference.
97-80 = 17°F
I hope this helps! :)
There are only 6 blue pens, 5 green pens and 8 red pens in a box.
One pen is taken at random from the box.
Write down the probability that this pen is blue.
Answer:
0.316
Step-by-step explanation:
Probability = (number of outcomes)/(total number of outcomes)
In this case,
the total number of outcomes is 6+5+8 = 19, and
the number of outcomes for getting a blue pen = 6
Hence,
P(blue) = 6/19 = 0.31578947368 ≈ 0.316
Hope this helps and be sure to have a wonderful time ahead at Brainly! :D
Human population numbers are in constant flux. Suppose a country has a population of 20 million people at the start of one year and during the year there are 600,000 births, 350,000 deaths, 100,000 immigrants, and 5,000 emigrants. You and your classmates will determine the total population at the end of the year and then model expected change over a longer period.
According to the question given,
[tex]\sf\longmapsto \: emigrants=-5000[/tex]
[tex]\sf\longmapsto \: Immigrants = 100000[/tex]
[tex]\sf\longmapsto \: Death -350000[/tex]
[tex] \sf \longmapsto \: Birth=600000[/tex]
Now let's solve out and get the result!
The change of population:
[tex] \sf \longmapsto600000-350000 + 100000 - 5000=350000[/tex]
The total population at the end of the year:
[tex]\sf\longmapsto \:2000000 + 350000 [/tex]
[tex]\sf\dashrightarrow2350000[/tex]
Hence the total population at the end of the year is 2350000.At the end of the year, the population will be 20,345,000.
The rate of change in population is 1.75%.
What is rate?Rate is a measurement to determine the change in one quantity with respect to another quantity.
The given information are,
Total population of the country initially = 20,000,000
Total number of births during the year = 600,000
Total number of deaths during the year = 350,000
Number of immigrants = 100,000
And number of emigrants = 5,000
The population at the end of the year
= 20,000,000 + 600,000 - 350,000 + 100,000 - 5,000
= 20,345,000
At the end of the year the population will be 20,345,000.
The increase in population = 20,345,000 - 20,000,000
= 345,000
the rate of increasing = 345000/20000000)x100 = 1.75%
The rate of change per year is 1.75%.
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1. A vector starts at point ( -2, 1) and ends at point (-6, -2) what is the horizontal component of the vector?
2. A vector starts at point ( -6, 0) and ends at point (10, -4) what is the vertical component of the vector?
3. A vector starts at point ( -3, 9) and ends at point (3, -7) what is the magnitude of the vector, answer to two decimal places.
Answer:
Using vector concepts, it is found that:
1. The horizontal component of the vector is 5.
2. The magnitude is of 14.87.
3. The vertical component of the vector is 2.
-------------
A vector (x,y) has x as horizontal component and y as vertical component.
The magnitude is
Given two points, a vector is formed by the subtraction of the endpoint by the start point.
-------------
Item 1:
The horizontal component of the start is -3.
The horizontal component of the end is 2.
Thus, the horizontal component of the vector is
-------------
Item 2:
Starts at (1,9), ends at (6,-5), thus, the coordinates are:
The magnitude is:
The magnitude is of 14.87.
-------------
Item 3:
The vertical component of the start is -10.
The vertical component of the end is -8.
Thus, the vertical component of the vector is
Step-by-step explanation:
A family bought a total of 13 tickets to a magic show, some adult and some child. The family paid a total of $85
Adult tickets are $15 each and child tickets are $5 each.
Let x represent adult tickets and y represent child tickets.
Write an equation to model the total amount of money that they spent.
Answer:
250 $3 tickets and 100 $2 tickets were sold.
Step-by-step explanation:
The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?
Solution:
Step 1: Set up a table with quantity and value.
quantityvaluetotal$3 tickets$2 ticketstogether
Step 2: Fill in the table with information from the question.
The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?
Let x = number of $3 tickets
Let y = number of $2 tickets
Total = quantity × value
quantityvaluetotal$3 ticketsx33x$2 ticketsy22ytogether350950
Step 3: Add down each column to get the equations
x + y = 350 (equation 1)
3x + 2y = 950 (equation 2)
Use Substitution Method
Isolate variable x in equation 1
x = 350 – y (equation 3)
Substitute equation 3 into equation 2
3(350 – y) + 2y = 950
1050 – 3y + 2y = 950
3y – 2y = 1050 – 950
y = 100
Substitute y = 100 into equation 1
x + 100 = 350
x = 250
A bottle has 1110 ounce of cough syrup. Each does is 35 of an ounce. How many does are in a bottle of cough syrup?
Heyyy help maybe????????????
Which is the smallest integer that makes the inequality 2x + 3 > 5 true?
0 is the correct answer;
2*0=0, and 0+3=3.
However if we plug in 1 it does not work you see; 2+1=2, and 2+3 = 5.
It has to be > not =
2
Step-by-step explanation:
because if you subtitute 2 for x you would get
2(2) +3>5
4+3=7
7>5
which makes the inequality true
Dilate the figure by the scale factor. Then enter
the new coordinates.
K = 2
Answer:
A = (-6, 4)
B = (2,2)
C = (-2, 2)
Step-by-step explanation:
If a coordinate (x, y) is dilated by a factor of k, the resulting coordinate will be expressed as (kx, ky). Note that each coordinate is multiplied by the scale factor Given the coordinates (-3,2),(1,1)(-1,-1), if they are dilated by a factor of 2, the resulting coordinate will be;
A = (2(-3), 2(2)) = (-6, 4)
B = (2(1),2(1)) =(2,2)
C = (2(-1), 2(-1)) = (-2, 2)
Which of the following is the solution to the quadratic equation
x2−10x+21=0 ?
Step-by-step explanation:
the answer is the image above
Answer:
x=3 and x=7
Step-by-step explanation:
x2 - 10x + 21=0
a=1, B=-10, c=21
delta= b2 - 4(ac)
if delta >0 => have two answer
x1= -b - _/delta / 2a = -(-10) - _/16 / 2.1 = 3
x2= -b + _/delta /2a = -(-10) + _/16 / 2.1= 7
covert 31 days into minutes
Answer:
MARK ME AS BRAINLIEST !!
Step-by-step explanation:
44640
Answer:
31 days =
44640 minutes
Step-by-step explanation:
Welcome
what is the answer for f+f
Both f's would be equal to 1 so 2
Answer:
it depends.
Step-by-step explanation:
we have to know what f means to be able to answer this question
Ming's team cleans 3 animals per hour after an oil
spill. Nina's team cleans 6 animals per hour. How
much longer does it take Ming's team to clean
12 animals?
Answer: 2 hours
Step-by-step explanation:
[tex]Mingn's \ team \\\\ 3\ animals -1 h \\\\ 12 \ animals -? h \\\\ ?=\dfrac{12}{3} =\boxed{4 \ hours}[/tex] [tex]Nina's \ team \\\\ 6\ animals -1 h \\\\ 12 \ animals -? h \\\\ ?=\dfrac{12}{6} =\boxed{2 \ hours}[/tex]
[tex]\rm Difference: \\\\4-2=\bf 2 h[/tex]
Answer:
2 hours longerStep-by-step explanation:
Time Ming's team needs:
12/3 = 4 hoursTime Nina's team needs:
12/6 = 2 hoursThe difference:
4 - 2 = 2 hourswhat are two decimals equivalent to 0.02
Answer:
0.020
0.0200
Step-by-step explanation:
Because there's always an imaginary 0 at the end, so there are infiite equivalant answers to this.
Hope this helps, and stay safe!! :))))
6x44
hbgvtfwtydtwftdftwyfdywdwd
Answer:
264
Step-by-step explanation:
well you could have just used a calculator!
Answer:
Step-by-step explanation:
es 264 como estas
What is an equation of the line that passes through the point (-2,7)(−2,7) and is perpendicular to the line x-4y=24x−4y=24?
9514 1404 393
Answer:
4x +y = -1
Step-by-step explanation:
The equation of the perpendicular line can be written by ...
swapping the x- and y-coefficients, negating one of themchoosing a new constant so the line goes through the given point.The x- and y-coefficients in the given equation are 1 and -4, respectively. Since we want the leading coefficient positive, it is convenient to use 4 and 1 as the coefficients in the new equation. The constant can be found by substituting (x, y) = (-2, 7) to see what it is.
4x +y = 4(-2) +7 = -1
The desired perpendicular line has an equation ...
4x +y = -1
I'm sad
What is 2x9/6+5
Answer:
8
Step-by-step explanation:
PEMDAS, Parentheses, Exponents, Multiply, Divide, Add, Subtract
First, I multiply, not because it comes first in pemdas, but because you go left to right. So 2x9=18 and then you divide, 18/6=3 and then you add, 3+5=8. If you have any question I will be here!
please solve the questions
please hurry
it's in the attachment hope it helps you
I also need help with this one.
Answer:
(0, 2)
Step-by-step explanation:
The x-coordinate is 0 because the y-intercept is where the line crosses the x-axis. The y-intercept is the number on its own in the equation (in the form y = mx + c)
Hope this helps!
5
2
m−
5
4
−
5
3
m
Answer:
(Hope this helps can I pls have brainlist (crown)☺️)
Step-by-step explanation:
In pic
(Credits: Symbolab)
(Hope this helps can I pls have brainlist (crown)☺️)
5 1/2 ÷3/4 write it in fraction form
The Answer:
Simplified 7 1/3
Improper 22/3
Answer:
[tex]5 \frac{1}{2} \div \frac{3}{4} = \frac{22}{3} [/tex]
Step-by-step explanation:
[tex]5 \frac{1}{2} \div \frac{3}{4} \\ \\ \\ \frac{11}{2} \div \frac{3}{4} \\ \\ \frac{11}{2} \times \frac{4}{3} \\ \\ \frac{11}{1} \times \frac{2}{3} \\ \\ \\ \frac{11 \times 2}{1 \times 3} = \frac{22}{3} [/tex]
I hope I helped you^_^
What equation has the solution x=-12.1
Answer:
10 x + 121 =0
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve
Exact Form:
x = -121/10
Decimal Form:
x = -12.1
Mixed Number Form:
x = -12 1/10
So The Equaion For x = -12.1 Is 10 x + 121 =0
Hope I helped :)
find the product what is 9.874×7= ?
Need help finding this answer −9 − −8 =
Answer:
-1
Step-by-step explanation:
-9--8
remember that 2 negatives= a positive thus...
-9--8
is the same as
-9+8
which is
=-1
Hope this helped you- have a good day bro cya)
Write an algebraic expression to represent the coast of m gallons of gassoline if each gallon coast $1.45
Answer:
$1.45m
Step-by-step explanation:
