Answer:
y =1/2x -4
Step-by-step explanation:
x1 y1 x2 y2
2 -3 4 -2
(Y2-Y1) (-2)-(-3)= 1 ΔY 1
(X2-X1) (4)-(2)= 2 ΔX 2
slope= 1/2
B= -4
Y =0.5X -4
please help me (geometry)
Answer:
x = 7
Step-by-step explanation:
When two parallel lines are cut by a transversal, the corresponding angles are equal.
8x +2 = 7x + 9
Subtract 2 from both sides
8x = 7x + 9 - 2
8x = 7x + 7
Subtract 7x from both sides
8x - 7x = 7
x = 7
Answer:
x=7
Step-by-step explanation:
The 2 given angles are vertical to each other, so that means they are equal to each other.
To solve, set up an equation:
[tex]7x+9=8x+2[/tex]
Solve by isolating the variable. [Subtract and divide]
[tex]7x=8x-7[/tex]
[tex]-x=-7[/tex]
Multiply both sides by -1 to get rid of the negative sign.
[tex]x=7[/tex]
I hope this helps!
Choose the model that represents the same function as the values in the table.
x r(x)
-4 -4
2 8
5 14
7 18
X -> times 2 -> plus 4 -> r(x)
Step-by-step explanation:
-4=x -4=r(x) -4 x 2=-8 -8+4=-4
Answer:
If on imagine math then its on the picture, have a nice day!
Step-by-step explanation:
pls help ASAP
find the value of z when x = 216
Answer:
z = 3 [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
z = [tex]\frac{k}{x^{1/3} }[/tex]
5 = [tex]\frac{k}{4}[/tex]
k= 20
~~~~~~~~~~~~~~~
z = [tex]\frac{20}{6}[/tex]
z = [tex]\frac{10}{3}[/tex] = 3 [tex]\frac{1}{3}[/tex]
which quadratic function has zeros of -4 and 7
Thank You! Hope it helps! Please mark me brainliest!
A DEF has vertices D(-5,-1), E (3, 3), and F (1,-5). Find the equation of the altitude through F in
slope-intercept form.
Answer:
y = -2x -3
Step-by-step explanation:
- the altitude trough F is a perpendicular line to the line DE
- find slope of line DE
D ( x2 = -5, y2 = -1); E (x1 = 3, y1 = 3)
slope m = (y2-y1) / (x2-x1) = (-1-3) / (-5-3) = -4/ -8 = 1/2
-find equation of the altitude trough F
lines that are perpendicular have the slope negative reciprocal (negative reciprocal of 1/2 is -2)
y= -2x +b , for point F(1, -5)
-5 = -2*1 +b, add 2 to both sides
-5 +2 = b, combine like terms
-3 =b
equation of the altitude trough F is y = -2x -3
Tyrell bought 6 video games this summer. Each game cost 27 dollars. If Tyrell had 379 dollars left after he bought the video games, how much money did he start with?
Taking into account the total amount of money spent on the games and the money that Tyrell had left after he bought the video games, Tyrell started with $541.
Total amount of moneyFirst you must know the total amount of money spent on the games. For that Tyrell bought 6 video games this summer and each game cost 27 dollars.
So to calculate the amount spent, the number of games purchased must be multiplied by the price of each one:
6 video games* 27 dollars each game= 162 dollars
So Tyrell spends 162 dollars.
Money left over after buying the video games.On the other hand, you know that Tyrell had 379 dollars left after he bought the video games.
This indicates that after spending $ 162 on video games, there were $ 379 left over.
Money he started with.To know the amount of money that Tyrell had, you must add the amount spent on games and the money that was left over:
162 dollars + 379 dollars= 541 dollars
So, Tyrell started with $541.
Learn more with this similar examples:
https://brainly.com/question/11757690?referrer=searchResultshttps://brainly.com/question/10823368?referrer=searchResultsTyrell started with 541 $
There are two actions in the question.
First Tyrell bought 6 video games, each game cost 27 $.
Spent
According to that Tyrell spent
6 * 27 = 162 $
Keeps
The second fact is that after shopping Tyrell keeps 379 $.
If Tyrell spent 162 $ and still keeps 379 $, that means that the total amount of money Tyrell had is the sum of the money he spent plus the money he has
Now if we call "x" the quantity of money Tyrrel started with: Then
x = the money Tyrell spent on video games plus the remaining 379 $
Then
x = 162 + 379
x = 541 $
A laboratory tested n= 130 chicken eggs and found that the mean amount of cholesterol was 88 milligrams with -9 milligrams. Find the margin of error E corresponding to a 95% confidence interval for the true mean cholesterol content of all such eggs. Round your answer to the nearest tenth.
Answer:
The margin of error is of 1.5 milligrams.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
Standard deviation of 9
This means that [tex]\sigma = 9[/tex]
Sample of 130
This means that [tex]n = 130[/tex]
Find the margin of error E corresponding to a 95% confidence interval for the true mean cholesterol content of all such eggs.
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 1.96\frac{9}{\sqrt{130}}[/tex]
[tex]M = 1.5[/tex]
The margin of error is of 1.5 milligrams.
Suggest a fundamentally and conceptually different way that is always under the control of the researcher of making the margin of error smaller.
Step-by-step explanation:
First, we may wonder, what does the term margin of error mean? Put simply, the margin of error is a measure of the degree to which research results do not reflect the views of the total studied population. In other words, it tells readers how much confidence they should have in the results presented.
It has often been suggested that a fundamentally and conceptually effective way that is always under the control of the researcher of making the margin of error smaller is to increase the sample size of the research. This basically involves collecting more sample data which thus leads to a closer estimate of the view of the entire population.
If A=(0,0) and B=(8,2), what is the length of AB
Answer:
[tex]\boxed{\sf Distance_{AB}= 8.24 \ units }[/tex]
Step-by-step explanation:
Here two points are given to us and we need to find the distance between the two points . The given points are , A(0,0) and B(8,2) . The distance between the two points can be found out using the Distance Formula , which is ,
Distance Formula:-
[tex]\sf\implies \green{ Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2}}[/tex]
Therefore on substituting the respective values ,we can find the Distance as ,
[tex]\sf\longrightarrow Distance = \sqrt{ ( 0 - 8)^2 + (0-2)^2} [/tex]
Simplify the brackets ,
[tex]\sf\longrightarrow Distance =\sqrt{ (-8)^2+(-2)^2}[/tex]
Square the numbers inside the squareroot ,
[tex]\sf\longrightarrow Distance =\sqrt{ 64 + 4} [/tex]
Add the numbers inside the squareroot ,
[tex]\sf\longrightarrow Distance = \sqrt{68} [/tex]
Find the value of squareroot,
[tex]\sf\longrightarrow \boxed{\blue{\sf Distance = 8.24 \ units }}[/tex]
Hence the distance between the two points is 8.24 units .
4u + 10 =17
u = ?
help
Answer:
The answer is "1.75".
Step-by-step explanation:
Given:
[tex]\to 4u + 10 =17[/tex]
Find:
[tex]\to u = ?[/tex]
Solution:
[tex]\to 4u + 10 =17\\\\\to 4u = 17-10\\\\\to 4u = 7\\\\\to u = \frac{7}{4}\\\\\to u=1.75[/tex]
Segment AB is completely rotated about the y-axis to form a 3-D figure. Find the volume of the figure. The
length of AB is 6.
Answer:
The volume of the figure is 905 cubic units.
Step-by-step explanation:
Rotation is a method of solid transformation which involve turning a given line, or object about a reference point. In the given question, rotating segment AB completely about the y-axis would form a 3 dimensional figure of a sphere.
volume of a sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
where r is the radius of the sphere.
Given that AB = 6, then the radius of the sphere = 6
volume of sphere = [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](6)^{3}[/tex]
= [tex]\frac{88}{21}[/tex] x 216
= 905.14
volume of sphere = 905 cubic units
The volume of the figure is 905 cubic units.
how many marbles do you need to balance the scale? 6oz 2oz
HELP 10 points!!
Answer:
you need 4 oz. to get the even 6 oz.
If BD bisects angle ABC, m angle DBC = 79° , and m angle ABC = (9x - 4)° , find the value of x.
Answer:
x = 18
Step-by-step explanation:
Since BD bisects ∠ ABC , then
∠ ABD = ∠ DBC = 79°
∠ ABC = ∠ ABD + ∠ DBC , that is
9x - 4 = 79 + 79 = 158 ( add 4 to both sides )
9x = 162 ( divide both sides by 9 )
x = 18
what is the greatest common monomial factor?
Answer:
To find the greatest common factor of two monomials, first find the prime factorization of each monomial, including all the variables (and a – 1 factor if necessary). Then take the product of all common factors. First, find the prime factorization of each monomial. So, the GCF is 3p2r3 .
Step-by-step explanation:
ASAppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
3/16
Step-by-step explanation:
-3*-1=3, 4*4=16
Answer:
3/16
Step-by-step explanation:
Multiply both the numerators (top number) and denominators (bottom numbers) together
-3 x -1 = 3....bc negative times negative always equals positive
4 x 4 = 16
Please help
Please don't delete this question
I wasted all my points for this
For a given input value r, the function g outputs a value q to satisfy the following equation.
10q−3r=14
Write a formula for g(r) in terms of r. g(r)=?
Answer:
3/10r+7/5
Step-by-step explanation:
khan <3
Please help pleaseeee
Answer:
32/33
Step-by-step explanation:
We first need to find out how many square yards are vacuumed every one minute.
Let's set up a chart:
yards minutes
8/11 --> 3/4
y --> 1
Here, y is the number of yards it takes to vacuum in one minute. Next, we can use cross-multiplication to find out y.
1. Multiply 1 by 8/11 to get... 8/11
2. Multiply 3/4 by y to get... 3/4y
3. Equate them: 8/11 = 3/4y
4. Divide both sides of the equation by 3/4 OR multiply both sides of the equation by 4/3 to isolate y, the variable
5. This gives us 32/33 = y
determine whether the following polygons are similar. if yes, type 'yes' in the similar box and type in the similarity statement and scale factor. if no, type 'none'
Similar: yes
Similarity Statement: AB ~ TQ , BC ~ QR
Scale Factor: 4/3
a man eats one cake a day for a year. How many total cakes does he consume ??
Step-by-step explanation:
If it is a leap year =366
and if it is not a leap year=365
Answer:
365
Step-by-step explanation:
please someone help me! A farmer builds a fence to enclose a rectangular pasture, he uses 160 feet of fence. Find the total area of the area pasture if it is 50 feet long.
Answer:
Area= 2000 feet^2
Step-by-step explanation:
Know how to find the perimeter and the area of a rectangle
area=length*width
perimeter= 2*length + 2*width
Draw a rectangle
The question states that the pasture is 50 feet long
So the length of the rectangle pasture should be 50. We can label the 2 lengths of the rectangle to be 50 feet long
Since the farmer only has 160 feet of fence, we can say that because the pasture is a rectangle, we can label the width as 40 because 2*50+2*40=160
Now that we know the length and width, we can find the area by multiplying those 2 values together to get 2000
Find the slope of the line
Answer:
-1
Step-by-step explanation:
y = -1
If ABC ~ AMN and am=6, mb=4 an= 8 then what is the value of nc
I NEED THIS BADD BRAINLIEST I WILL GIVEE
Answer:
D
Step-by-step explanation:
He needs to buy 6 items
6 bags of chips
6*2.25= $13.5 so not possible
6 candy bars
6*1.5= $9 so possible
These statements knock out B and C because the dark gray needs to be able to include 6 on the y-axis to show that he could buy 6 candy bars leaving D and A. However, in D it shows that he could actually buy more than 6 candy bars and buy 8 which leaves him with 0 dollars left
8*1.5=$12
Answer:
Step-by-step explanation:
Need help on this!!! 6 points!!!
Answer:
it appears to be FALSE....
f(g(x) = 3(13-2x) -7 = 39 - 6x - 7 = 32 - 6x
h(32-5x) = 6(32-6x)
= 192 - 36x
Step-by-step explanation:
Plz help!! I need it ASAP
Answer:
you save $500 for 7 years at 6% compounding continuously
what is the final value...
A = $500 [tex]e^{.06(7)}[/tex]
Step-by-step explanation:
On the first day of travel, a driver was going at a speed of 40 mph. The next day, he increased the speed to 60 mph. If he drove 2 more hours on the first day and traveled 20 more miles, find the total distance traveled in the two days.
Velocity, distance and time:
This question is solved using the following formula:
[tex]v = \frac{d}{t}[/tex]
In which v is the velocity, d is the distance, and t is the time.
On the first day of travel, a driver was going at a speed of 40 mph.
Time [tex]t_1[/tex], distance of [tex]d_1[/tex], v = 40. So
[tex]v = \frac{d}{t}[/tex]
[tex]40 = \frac{d_1}{t_1}[/tex]
The next day, he increased the speed to 60 mph. If he drove 2 more hours on the first day and traveled 20 more miles
On the second day, the velocity is [tex]v = 60[/tex].
On the first day, he drove 2 more hours, which means that for the second day, the time is: [tex]t_1 - 2[/tex]
On the first day, he traveled 20 more miles, which means that for the second day, the distance is: [tex]d_1 - 20[/tex]
Thus
[tex]v = \frac{d}{t}[/tex]
[tex]60 = \frac{d_1 - 20}{t_1 - 2}[/tex]
System of equations:
Now, from the two equations, a system of equations can be built. So
[tex]40 = \frac{d_1}{t_1}[/tex]
[tex]60 = \frac{d_1 - 20}{t_1 - 2}[/tex]
Find the total distance traveled in the two days:
We solve the system of equation for [tex]d_1[/tex], which gets the distance on the first day. The distance on the second day is [tex]d_2 = d_1 - 20[/tex], and the total distance is:
[tex]T = d_1 + d_2 = d_1 + d_1 - 20 = 2d_1 - 20[/tex]
From the first equation:
[tex]d_1 = 40t_1[/tex]
[tex]t_1 = \frac{d_1}{40}[/tex]
Replacing in the second equation:
[tex]60 = \frac{d_1 - 20}{t_1 - 2}[/tex]
[tex]d_1 - 20 = 60t_1 - 120[/tex]
[tex]d_1 - 20 = 60\frac{d_1}{40} - 120[/tex]
[tex]d_1 = \frac{3d_1}{2} - 100[/tex]
[tex]d_1 - \frac{3d_1}{2} = -100[/tex]
[tex]-\frac{d_1}{2} = -100[/tex]
[tex]\frac{d_1}{2} = 100[/tex]
[tex]d_1 = 200[/tex]
Thus, the total distance is:
[tex]T = 2d_1 - 20 = 2(200) - 20 = 400 - 20 = 380[/tex]
The total distance traveled in two days was of 380 miles.
For the relation between velocity, distance and time, you can take a look here: https://brainly.com/question/14307500
Answer:
Total traveled distance is : 380 miles
Step-by-step explanation:
Let´s call variables of the first day of travel as:
v₁ = 40 mph
Time of travel unknown but 2 hours more than the second day
Traveled distance ( unknown) but 20 miles more than the second day
And for the second day
v₂ = 60 mph
Time of travel t
Traveled distance s (unknown)
With that information, we can make a model of a two equations system as follows:
We know that s = v*t ( where s is the distance traveled, v the speed, and t the traveled time) then
First day
Total distance traveled s + 20 is equal to:
s + 20 = 40 * ( t + 2 )
The second day:
s = 60*t
The system is:
s + 20 = 40 * ( t + 2 )
s = 60*t
By substitution
60*t + 20 = 40 * ( t + 2 )
60*t + 20 = 40*t + 80
60*t - 40*t = 80 - 20
20*t = 60
t = 3 hours
Now we can calculate the total distance traveled according to:
First day: s₁ = 40 (m/h)* (t + 2) (h) = 40*5 miles s₁ = 200 miles
Second day:
s = 60*t = 60 (m/h)*3 (h) = 180 miles
Total distance is : 380 miles
Somebody help me with question 4
Answer:
EH = HG
EH = HG
2x + 24 = 5x - 30
x = 18
EH = 60
HG = 60
Step-by-step explanation:
what is question 4 ?
you mean the 4th point in this question, or is the whole thing question 4 ?
in any case, what they want to see here is
EH = HG (because FH is the median of the triangle, so it cuts the baseline in half).
therefore we get
2x + 24 = 5x - 30
54 = 3x
x = 18
EH = 2×18 + 24 = 36 + 24 = 60
HG = 5×18 - 30 = 90 - 30 = 60
as expected - they are equal.
Solve for x.
10x – 79 = 2x + 49
x = [?]
Answer:
[tex]x = 16[/tex]
Step-by-step explanation:
Step 1: Add 79 to both sides
[tex]10x - 79 + 79 = 2x + 49 + 79[/tex]
[tex]10x = 2x + 128[/tex]
Step 2: Subtract 2x from both sides
[tex]10x - 2x = 2x - 2x + 128[/tex]
[tex]8x = 128[/tex]
Step 3: Divide 8 from both sides
[tex]\frac{8x}{8} = \frac{128}{8}[/tex]
[tex]x = 16[/tex]
Answer: [tex]x = 16[/tex]
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Step-by-step explanation:
x=16
Which of the following represents the diameter of the circle below?
what is 114 estimated with 150?
Answer:
This gives us a pair of simple equations:
100percent =150(1). xpercent =114(2).
therefore, 114 is 76percent of 150
Step-by-step explanat: