Answer:
The the equation of the line through the points (8, -2) and (5, 5) in slope-intercept form is
[tex]y=-\frac{7}{3} x+\frac{50}{3}[/tex]
Step-by-step explanation:
Let's start by calculation the slope of the line by finding the slope of the segment that joins the two given points (8, -2) and (5, 5):
[tex]slope=\frac{y_2-y_1}{x_2-x_1} \\slope=\frac{5-(-2)}{5-8}\\slope=\frac{7}{-3} \\slope=-\frac{7}{3}[/tex]
Now we use this slope in the general slope-intercept form of a line;
[tex]y=mx+b\\y=-\frac{7}{3} x+b[/tex]
and then we calculate the value of the intercept "b" by using one of the given points through which the line must pass (for example (5,5) ), and solving for b:
[tex]y=-\frac{7}{3} x+b\\5=-\frac{7}{3} (5)+b\\5=-\frac{35}{3} +b\\b=5+\frac{35}{3}\\b=\frac{50}{3}[/tex]
The the equation of the line is
[tex]y=-\frac{7}{3} x+\frac{50}{3}[/tex]
Convert the following equation
into slope intercept form.
8x +
2y = 0
Slope intercept form of the equation 8x+2y=0 is y= -4x
What is Slope intercept form?Slope intercept form gives the graph of a straight line and is represented in the form of y=mx + c
Given,
8x+2y=0
2y =-8x
y=-4x
Hence, the Slope intercept form of the equation 8x+2y=0 is y= -4x
Learn more about Slope intercept form here
https://brainly.com/question/9682526
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Use the substitution method to solve the system of equations. Choose the correct ordered pair.
Solution:
x + y = 11, -x = -y - 9
~Isolate x in [ x + y = 11 ]
x = 11 - y
~Substitute x in the other equation
-(11 - y) = -y - 9
~Simplify
-11 + y = -y - 9
y = -y + 2
2y = 2
y = 1
~Substitute y in the first equation
x + 1 = 11
~Simplify
x = 10
Therefore, the solution to the system of equations is (10, 1)
Best of Luck!
Pleaseee help meeeeeee!
Answer:
Irrational
Step-by-step explanation:
Irrational numbers have decimal expansions that neither terminate not repeatable
π = 3.1428.........
-4π =-12.5714..........
Answer:
D. Irrational
Step-by-step explanation:
First, let's calculate what -4π is.
-4π= -4*π= -12.5663706143....
Now, let's analyze the answer choices.
Whole numbers are the numbers 1,2,3,4,5...
Integers are like whole numbers, but negatives are also included.
Rational numbers are numbers that can be written as fractions, or have repeating/terminating decimals.
Irrational numbers cannot be written as fractions, do not repeat and do not terminate.
-12.5663706143... doesn't repeat or terminate, therefore it must be irrational.
PLZ HELP, NEED ASAP Krista was assigned a homework problem that stated there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents. To solve this problem, she wrote the system of equations that is shown below. 0.40 x + y = 45. x + 0.55 y = 18.75. Which explains the error that Krista made? Krista put 0.40 in the first equation meant for the number of stamps. Krista put 0.55 in the second equation meant for the value of stamps. Krista did not use the correct decimal to represent the total cost of the stamps. Krista mistakenly put 45 in the first equation when it should have been in the second equation.
Answer:
Krista put 0.40 in the first equation meant for the number of stamps.
Step-by-step explanation:
Krista's equation
0.40x+y=45
x+0.55y=18.75
The system of Equation should have been
x + y = 45 (1)
0.40x + 0.55y = 18.75 (2)
From (1)
x=45-y
Substitute x=45-y into (2)
0.40(45 - y) + 0.55y = 18.75
18 - 0.40y + 0.55y = 18.75
Collect like terms and you now have
0.55y - 0.40y = 18.75 - 18
0.15y = 0.75
Divide both sides of the equation by 0.15
y = 5
Substitute y=5 into (1)
x + y = 45
x+5=45
x=45-5
x=40
This shows that the stamps that cost 0.40 cents were 40 while those that cost 0.55 cents were 5 in number.
Krista's error:
Krista put 0.40 in the first equation meant for the number of stamps.
Answer: A, Krista put 0.40 in the first equation meant for the number of stamps.
Step-by-step explanation:
Edge 2020.
What is the distance, in units, from J=(8,−9) to the x-axis?
Enter your answer as a number, like this: 42
Answer:
9
Step-by-step explanation:
The distance from the x axis is from the point (8,0)
d = sqrt( (8-8)^2 + (-9-0)^2)
= sqrt(0+ 81)
= sqrt( 81)
=9
Answer:
8
Step-by-step explanation:
8 is how far away it is in square units from the x-axis and the 7 is how far it is from the y-axis
Hope this helps
I need help asap! Please I don't remember anything from Geometry and this is supposed to be for an Algebra 2 course!!
Answer:
Answer A is the first step
Step-by-step explanation:
Normally, to prove an identity, you start by writing all trig expressions in their most simple forms using the two basic trig functions sin and cos. That is done in option A, with writes tan and cot in terms of sin and cos.
when f(x)=-3 what is x
Step-by-step explanation:
i think the answer is -3 only
solve the math problem please
Answer:
Option D
Step-by-step explanation:
Collect all like terms and Calculate
-10x-7x= -17x
20-54= -34
Divide
-17x < -34
x>2
Answer:
B 2 ≤x
Step-by-step explanation:
54 - 10x ≤20 +7x
Add 10x to each side
54 - 10x+ 10x ≤20 +7x+10x
54 ≤20 + 17x
Subtract 20 from each side
54-20 ≤20+17x-20
34 ≤17x
Divide by 17
34/17 ≤17x/17
2 ≤x
If 3 ice cream cones multiplied is equal to 27, 2 ice cream cones with one scoop of vanilla are equal to 10, 1 ice cream with 2 scoops of vanilla and 1 ice cream with one scoop of strawberry is equal to 11, 1 ice cream with one scoop of vanilla and 1 cone and 1 ice cream with 2 scoops of strawberry and one scoop of vanilla is equal to 15, then what is the value of.... 1 cone 1 vanilla scoop 1 strawberry scoop *Please Try To Give The Solution ASAP*
Answer:
each cone=3
each scoop of vanilla=2
each scoop of strawberry=1
so:
1 cone 1 vanilla scoop 1 strawberry scoop=6
HELP SABRINA ;) ?!!!
Answer:
d) Vessels that are any length
Step-by-step explanation:
MSDs can be defined fully as Marine
Sanitation Devices. Marine Sanitation Devices are devices in the shape of a tank that is used for storing and treating of waste materials when marine vessels e.g. boats are on sea.
It is very inappropriate, unhygienic and illegal to dump waste materials at sea because this could cause harm to the aquatic life forms at sea. This is the reason why a marine sanitation device is required.
There are three types of MSDs
a) Type I
b) Type II
c) Type III
Marine Sanitation Devices are classified into types based on
1) The length of the vessels in which that are installed on.
2. The method for treating or breaking down the waste materials in the devices.
In the question above, the TYPE III MARINE SANITATION DEVICES CAN BE INSTALLED ON VESSELS THAT ARE ANY LENGTH.
This is because the Type III Marine Sanitation Devices are devices that stops the discharge or expelling of waste materials e.g sewage (whether have been treated or untreated) into the sea.
These type III MSDs is consists mainly of a tank used for holding and storing the waste materials. In this tank as well as other types of methods used for treating the waste which the includes incineration, composting e.t.c. may be found in the tank as well. Even after treating the waste in a Type III MSD, it can't be expelled into the sea , it can only be transferred to the Water Treatment Facility when the marine vessel comes to the seaport for more treatment and appropriate disposal.
Please help me 4x-8=16
Answer:
6
Step-by-step explanation:
4x-8=16
4x=16+8
4x=24
x=24÷4
x=6
Suppose you want to simulate surveying 100 people to find the date of the month (1st, 2nd, 3rd, . . .) each was born. You decide to simulate the survey by having your computer randomly list values 1 through 31. Would the simulation provide a fair representation of an actual survey of 100 people? Why or why not?
No, because for the 12 months in the year not all of the dates are represented.
Yes, because it is possible to get 100 random values in a simulation.
Yes, because all possible dates of the month would be represented.
No, because for the 12 months in the year each date is not equally likely.
Answer:
D) "No, because for the 12 months in the year each date is not equally likely."
Step-by-step explanation:
For example, february does not have 31 days as well as april so it would not be a fair representation.
what is 8 1/2 rounded to the nearest half? (HELP I NEED ANSWER NOW)
Answer:
8 1/2
Step-by-step explanation:
It is already rounded to the nearest half.
How many 4-digit numbers divisible by 5, all of the digits of which are odd, are there?
Answer: 125
Step-by-step explanation:
For any number to be divisible by 5 it must end in either 0 or 5, thus for a 4 digit odd number it should end with 5 eg.1005,1015,1055 etc.
The exact number of 4 digit odd nos divisible by 5 can be calculated by using Principle of counting:
Therefore, no of possible numbers are: 5x5x5x1=125 numbers
Find mZYCD
Y
21x-7
с
100° 5x+5
E
D
A) 1199
B) 140°
C) 1230
D) 40°
Answer:
B)140
Step-by-step explanation:
So a line is=180 and the interior angles of a triangle= 180, so I did some manipulations
1. 100 + (5x+5) + <ECD = 180. But we also know that (21x-7) + <ECD=180. With some manipulation we can find that <ECD= 180 - (21x-7), so we can plug that into the other equation
2. Now: 100 + (5x+5) + (180- (21x-7))= 180
3. Solve:
105+5x+180-21x+7=180
112-16x=0
112=16x
x=7
4. Plug x=7 into 21x-7= 140
What is the coefficient in this expression?
5-4.7-2x+5/8
-4.7
-2
5/8
5
Answer:
in this expression, -2 is the coefficient.
Step-by-step explanation:
We know that, a coefficient is the number or value placed before a variable in an algebraic expression. here, the only variable is x, so, the coefficient is -2.
in other words, we can say that -2 is the coefficient of x.
Answer: -2
Step-by-step explanation:
Explain why no part of the graph[Image Displayed] appears below the x-axis?
[Graph Displayed]
a.
The y-value is always negative
c.
The y-value is always zero
b.
The y-value is always positive
d.
The y-value is always 10
Answer: I think it is “the y-value is always positive” because none of the y-values are below the x-axis, which would make them negative. Hope I helped!
Step-by-step explanation:
the layer of gold coating on a ring should be 0.03 mm thick when the ring is completed. a coating of 0.021 mm has already been applied. how many more mm of gold coating must be added to finish the ring ?
Answer:
0.009 mm
Step-by-step explanation:
Find the difference between the two values.
0.03 - 0.021
0.009 mm more gold coating must be added to finish the ring.
Can someone please help me with this question
Answer:
x° = 62
Step-by-step explanation:
The vertical angle to 28 degrees is 28 degrees in size.
The vertical angle to 90 degrees is 90 degrees in size.
Angles in a circle add up to 360 degrees.
x + 28 + 152 + 28 + 90 = 360
x + 298 = 360
x = 360 - 298
x = 62
Angle x is 62 degrees in size.
First person that gave me the correct answer will get brainliest
Which set of ratios could be used to determine if one triangle is a dilation of the other?
A. 3.6/3 = 5.4/4.5 = 6/5
B. 3.6/3 = 4.5/5.4 = 6/5
C. 3/3.6 = 4.5/6 = 5/5.4
D. 3/4.5 = 3.6/5.4 = 5/6
Answer:
Answer A
Step-by-step explanation:
Answer A is correct. Sides 3.6 and 3 form one ratio and sides 5.4 and 4.5 form another ratio of the lengths of corresponding sides.
Which of the following systems of equations is an example of one where substitution is the best method?
Answer:
option c is the correct ans .
because we can easily substitute the value of y in equn 2 to get value of x..
Answer:
To me, the third one is the best.
Note: y has been made subject of formula which makes it easy to substitute it into equation 2 and find x .
Step-by-step explanation:
Can someone please explain to me how to solve for x?
Answer:
X is a missing number . Find the missing number then multiply for example that 8 to the x then what the x is it’s the same number for all
Step-by-step explanation:
Identify the initial value and rate of change for the graph shown?
Answer:
The third option, or initial value:2, rate of change:1.
Step-by-step explanation:
The initial value is where the y-intercept is on the y-axis. For this problem it falls on the 2.
Your rate of change is your slope. I like to think of it as rise/run. Your slope in this graph is 1/1. Or just 1.
let me know if your need further explanation!
Find the equation of the line
Answer:
y= 2x +12
Step-by-step explanation:
Given:
line y= 2x -7the point (-3. 6)The line parallel to the given has the same slope of 2, let's find the intercept using the given point:
y= 2x+b6= 2*(-3)+bb= 6+6= 12So the equation is:
y= 2x +12CANT seem to find the answer
Answer:
A) Point C
B) Point E
Step-by-step explanation:
There are 3 vowels in the word square, and there are six total letters in the word square.
Square
There is a half chance of picking a letter that is a vowel in the word "square". (Three is half of six.)
Point C would be the most accurate spot for question 'a'.
The word square does not have a 'T'. It is certain that a letter that is not 'T' would be picked.
Point E would be the most accurate spot for question 'b'.
Answer:
a) c b) e
Step-by-step explanation:
There are 3 vowels out of 6 total cards, and c lands at 3/6->1/2.
There is no letter T, so it is a 1/1 chance of not getting a T. E lands at 1.
You're welcome.
What is the probability of selecting a male from a group of 4
males and 8 females?
1
A 1/3
B 1/2
С 2/3
D 4/5
Answer:
[tex]P(Male) = \frac{1}{3}[/tex]
Step-by-step explanation:
Given
[tex]Male = 4[/tex]
[tex]Female = 8[/tex]
Required
Probability of selecting a male
First, we need to get the total population;
[tex]Total = Male + Female[/tex]
[tex]Total = 4 + 8[/tex]
[tex]Total = 12[/tex]
Let P(Male) represent Probability of Male
Let n(Male) represent number of Male
[tex]P(Male) = \frac{n(Male)}{Total}[/tex]
[tex]P(Male) = \frac{4}{12}[/tex]
Simplify fraction by dividing the numerator and denominator by 4
[tex]P(Male) = \frac{1}{3}[/tex]
Hence, the probability of selecting a male is 1/3
8. In the diagram below, angle CAE = 39 °. Find the following
:) AOC
b) OBA
Answer:
a) 78°
b) 39°
Step-by-step explanation:
In circle with center O, DE is tangent at point A and AC is chord (or secant if extended both sides).
Therefore by tangent secant theorem.
[tex] m\angle CAE = \frac{1}{2} \times m\widehat{(AC)} \\\\
\therefore 39\degree = \frac{1}{2} \times m\widehat{(AC)} \\\\
\therefore m\widehat{(AC)} = 39\degree\times 2\\
\red{\bold{\therefore m\widehat{(AC)} = 78\degree}}\\[/tex]
Since, measure of central angle of a circle is equal to the measure of its corresponding minor arc.
[tex] \therefore m\angle AOC = m\widehat{(AC)}\\
\huge \purple {\boxed {\therefore m\angle AOC = 78\degree}} \\[/tex]
Next, by inscribed angle theorem:
[tex] m\angle CBA = \frac{1}{2}\times m\widehat{(AC)}\\\\
\therefore m\angle CBA = \frac{1}{2}\times 78\degree \\\\
\therefore m\angle CBA =39\degree \\\\
\huge \orange{\boxed {\therefore m\angle OBA = 39\degree}}\\... (\because C-O-B) \\[/tex]
5. Write the following numbers in scientific notation (powers of 10) 3 067 020 ____________________________________________________ __________________________________________________________________ B) 19.507 __________________________________________________________ __________________________________________________________________
Answer:
3,067,020 = [tex]3.06702\,\,10^6[/tex]
19.507 = [tex]1.9507\,\,10[/tex]
Step-by-step explanation:
3,067,020 = [tex]3.06702\,\,10^6[/tex]
19.507 = [tex]1.9507\,\,10[/tex]
If f(x) =1/4x+14, then f^-1(x)=
Answer: f⁻¹(x)=4x-56
Step-by-step explanation:
f⁻¹(x) is the inverse of f(x). To find the inverse, we replace the y with x, and x with y. Once we do that, we solve for y.
[tex]x=\frac{1}{4}y+14[/tex] [subtract 14 on both sides]
[tex]x-14=\frac{1}{4}y[/tex] [multiply both sides by 4]
[tex]4(x-14)=y[/tex] [distribute 4]
[tex]4x-56=y[/tex]
[tex]f^-^1(x)=4x-56[/tex]
Maths help again! It is much appreciated
if there are 54 in total, and 32 are women, that means 22 are men, we get this by subtracting 32 from 54 (54-32).
then if 18 of the 41 are male, who are right handed, subtract 18 from 41 (41-18) to get 23. that means there are 23 right handed women.
then we do 32-23 to get 9, this is how many left handed women there are.
then we do 22-18 which is 4. there are 4 left handed males