Answer:
First, we know that:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
Then for line FG = f(x), we know that it passes through the points (4, 9) and (1, 3)
Then the slope is:
a = (9 - 3)/(4 - 1) = 6/3 = 2
f(x) = 2*x + b
To find the value of b we can use one of the points, i will use the point (1, 3)
this means that when x = 1, f(1) = 3.
Then:
f(1) = 3 = 2*1 + b
3 = 2 + b
3 - 2 = b = 1.
The line FG is f(x) = 2*x + 1.
For a general linear equation:
y = a*x + b
The equation for a perpendicular line is:
y = (-1/a)*x + c
We know that:
f(x) = 2*x + 1
The perpendicular line will be something like:
g(x) = (-1/2)*x + c
To find the value of c, we use the fact that this line passes through the point (2, 0), then:
g(2) = 0 = (-1/2)*2 + c
0 = -1 + c
1 = c
The line is: g(x) = (-1/2)*x + 1
Write the slope-intercept form of the equation of the line through the given point with the given slope.
Answer:
1) y = -7 -1x
2) y = + 4.5 + 5/8x
3) y = 4 -1/5x
4) y = -5 + 9x
5) y = 7 + 3/2x
6) y = -6 -1/4x
Step-by-step explanation:
I Hope That This Helps! :)
to the nearest tenth of a unit, what is the distance between (4,5) and (-8,1)?
Answer:
A) 12.6 units
Step-by-step explanation:
see image help me as fast as possible, please
Shenea bought 3 bottles of juice for $12. Write the rate as a fraction. Then find the unit rate.
NEED HELP ASAP PLEASE HELP!!!
HELP PLEASE!!!!!!
Answer:
1. 230, 219, 208, 197, 186.
2. Arithmetic, you are subtracting a constant rate, instead of an exponential rate.
3. Finite, the question says the farmer only took 10 trips, infinite would be much, much much more trips.
Step-by-step explanation:
1. The pattern is to subtract 11, so you just do this for 3 more times.
2. Geometric sequences could look something like 230-11=219. The you multiply by a random number like 2, then you subtract 219- (11x2), 219-22=197. This sequence does not do that.
3. It says in the question the farmer only does it for 10 more times.
Solve the following equation for y: -4x+8y=24
Answer: y = 3 + x/2
Step-by-step explanation:
PLEASE HELP ASAP WILL GIVE BRAINLEIST
Aubrey owes $60 in interest on a loan of $500. If the loan was borrowed for 3 years, find the interest rate.
Answer
it would be $20 a year so it would be a 4% interest rate
Step-by-step explanation:
2/? x 4/2 = 8/14
:>>
Answer: 7
Step-by-step explanation: 2x4=8. 7x2=14.
The unknown value in the given expression is 7.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Given is an expression 2/? x 4/2 = 8/14, we need to find the unknown value,
So,
2/? x 4/2 = 8/14
8/2? = 8/14
1/2? = 1/14
2? = 14
? = 14/2
? = 7
Hence, the unknown value in the given expression is 7.
Learn more about expression click;
https://brainly.com/question/14083225
#SPJ3
Name
Date
Class
LESSOn
10-2
Graphing Systems of Linear Inequalities
Practice and Problem Solving: Modified
Answer:
kpealeakara
Mon. Nov. 16 2020
ss1
8
Answer:
8 is your answer am right or wrong
At a local car wash, 25 cars can be washed in an hour. How many cars can go through the car wash in an 8-hour day?
Answer:
200
Step-by-step explanation:
25 cars can be washed in a hour so we do 25×8=200
A line passes through the point (10,9) and has a slope of 3/2. Write an equation in slope intercept form for this line
Answer:
The equation of line passing through (10,9) and having slope 3/2 is: [tex]y = \frac{3}{2}x-6[/tex]
Step-by-step explanation:
The slope intercept form of a line is given by:
[tex]y=mx+b[/tex]
We are given
Slope = m = 3/2
Point = (10,9)
Putting the value of the slope in the equation we get
[tex]y = \frac{3}{2}x+b[/tex]
b is the y-intercept. To find the y-intercept we have to put the point through which the line passes in the equation.
Putting (10,9) in the equation
[tex]9 = \frac{3}{2}(10) +b\\9 = 15+b\\b = 9-15\\b = -6[/tex]
Putting b=-6 in the equation
[tex]y = \frac{3}{2}x-6[/tex]
Hence,
The equation of line passing through (10,9) and having slope 3/2 is: [tex]y = \frac{3}{2}x-6[/tex]
6. The ancient Babylonians were writing fractions in 1800 BCE. But they did not have a concept of zero until about 1489 years later. In what year did the Babylonians develop the concept of zero
Answer:
hio
Step-by-step explanation:
hi
As early as 4,000 years ago, but the first recorded use of a zero-like symbol dates to sometime around the third century B.C. in ancient Babylon.
Given that, the ancient Babylonians were writing fractions in 1800 BCE.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
In fact, at first, fractions weren't even thought of as numbers in their own right at all, just a way of comparing whole numbers with each other.
The word fraction actually comes from the Latin "fractio" which means to break. To understand how fractions have developed into the form we recognize, we'll have to step back even further in time to discover what the first number systems were like.
From as early as 1800 BC, the Egyptians were writing fractions. Their number system was a base 10 idea (a little bit like ours now) so they had separate symbols for 1, 10, 100, 1000, 10000, 100000 and 1000000.
Hence, as early as 4,000 years ago, but the first recorded use of a zero-like symbol dates to sometime around the third century B.C. in ancient Babylon.
To learn more about the fraction visit:
brainly.com/question/1301963.
#SPJ2
Solve the proportion 6/y=9/24
Answer:
It would be 16!
Step-by-step explanation:
Step 1 : 6 times 24 is 144
Step 2 : 144/9
Answer 16!
Answer:
ur dad and. ur mom plus ur dad mama ififjfifnfbfndjfkjfif
HELP MEEEEE PLEASEEEEEE
Answer:
Step-by-step explanation:
2x + 1 = 5
2x = 4
x = 2
If the null hypothesis is inside the confidence interval, then the decision was likely to ________ using hypothesis testing.
a) reject the null hypothesis
b) retain the null hypothesis
Answer:
B: Retain the null hypothesis
Step-by-step explanation:
In the relationship between the confidence interval and hypothesis, it is stated that:
When the confidence interval is constructed, all values that fall inside the interval are considered possible values for the parameter that we are estimating while values that fall outside the interval are rejected as they are considered not possible or realistic values.
Now, If the value of the parameter specified by the null hypothesis falls inside the given confidence interval, then we will fail to reject the null hypothesis at the corresponding significance level. However, If the value specified by the null hypothesis doesn't fall inside the given confidence interval, then the null hypothesis can be rejected at the corresponding significance level.
what is the slope of the line through (-1 2) and (-3 -2)
Answer:
m=2
Step-by-step explanation:
Answer:
slope = 2
Step-by-step explanation:
(x₁ , y₁) = (-1 , 2) & (x₂ , y₂) = (-3 , -2)
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \frac{-2-2}{-3-[-1]}\\\\= \frac{-4}{-3+1}\\\\= \frac{-4}{-2}\\\\= 2[/tex]
Kenneth bought x adult tickets at $10 each and y children tickets at $5
each. He spent $120 total. Write an equation to represent this situation.
Then, solve for y.
Answer:
10x+5y=120
y=-2x+24
Step-by-step explanation:
x=adult tickets
y=children tickets
120=total spent
10x+5y=120
5y=120-10x
y=(120/5)-(10x/5)
y=24-2x or y=-2x+24
see image help me as fast as possible, please
Answer:
28.2
Step-by-step explanation:
radius of semicircle=(4/2) = 2
circumference of circle=
[tex]2\pi \:r[/tex]
[tex]circumference \: of \: semicircle = 0.5 \times 2\pi \:r[/tex]
perimeter=9+9+2pi+4
=28.2
According to a college survey, 22% of all students work full time. Find the standard deviation for the random variable X, the number of students who work full time in samples of size 16.
Answer:
1.66
Step-by-step explanation:
Calculation to find the standard deviation for the random variable X of the number of students who work full time in samples of size
Using this formula
Standard deviation(X)=√np(1−p)
Where,
n represent the number of students=16
p represent the percentage of all students who work full time=22
Let plug in the formula
Standard deviation(X)=√16(0.22)(1−0.22)
Standard deviation(X)=√(3.52)(0.78)
Standard deviation(X)=√2.7456
Standard deviation(X)=1.656
Standard deviation(X)=1.66 (Approximately)
Therefore the standard deviation for the number of students who work full time in samples of size 16 will be 1.66
What is the value of x? Enter your answer in the box. x = [ ]
Since both angles are vertical angles, we need to set them equal to each other.
[tex]2(x + 10) = 3x - 30\\\\2x + 20 = 3x - 30\\\\5x + 20 = 30\\\\5x = 50\\\\x = 10[/tex]
The final answer is x = 10.
Mateo has already swum Four-fifths of the 2,000 meters he is swimming today. If he continues swimming at a pace of Three-fourths of a meter per second, which expression shows the amount of time it will take him to swim the remaining distance? A. 2000 times four-fifths times three-fourths B. 2000 times four-fifths divided by three-fourths C. 2000 times one-fifth times three-fourths D. 2000 times one-fifth divided by three-fourths
Answer:
D
Step-by-step explanation:
The amount of time that will take him to swim the remaining distance will be [2,000 (1/5)] / (3/4). Then the correct option is D.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.
We know that the speed formula
Speed = Distance/Time
Mateo has proactively swum Four-fifths of the 2,000 meters he is swimming today. On the off chance that he keeps swimming at a speed of Three-fourths of a meter each second.
3/4 = 2,000 (1 - 4/5) / T
T = [2,000 (1/5)] / (3/4)
The amount of time that will take him to swim the remaining distance will be [2,000 (1/5)] / (3/4). Then the correct option is D.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
In Jayce's favorite video game, he collects stars to earn points. Today, he collected 80 silver stars and earned 160 points. He also collected 30 gold stars and earned 150 points. How many more points per star does Jayce earn from gold stars?
Jayce earns 3 more points from gold stars than from silver stars.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that Jayce collected 80 silver stars and earned 160 points.
He collected 30 gold stars and earned 150 points.
Therefore,
The points per star Jayce earns from silver stars
160/80=2,
The points per star Jayce earns from gold stars
150/30=5
Hence, Jayce earns 3 more points from gold stars than silver stars.
To learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ2
Point e,d, and h are the midpoints of the sides of the triangle TUV. UV = 80, TV=100, and HD = 80
Answer:
Step-by-step explanation:
We will use to midsegment theorem to solve this question.
Midsegment theorem,
Segment joining the midpoints of two sides of a triangle, is parallel and and measure the half of the the third side.
7). HE is the midsegment.
HE = [tex]\frac{1}{2}(VU)[/tex]
= [tex]\frac{1}{2}\times (80)[/tex]
= 40
8). ED = [tex]\frac{1}{2}\times (TV)[/tex]
= [tex]\frac{1}{2}(100)[/tex]
= 50
9). HD = [tex]\frac{1}{2}(TU)[/tex]
TU = 2(HD)
= 2(80)
= 160
10). TE = [tex]\frac{1}{2}(TU)[/tex]
= [tex]\frac{1}{2}\times 160[/tex]
= 80
Robert has fish, chickens, and dogs. There are 28 eyes total and 16 legs total. Also, there are twice as many fish as chickens. How many dogs are there?
-2(1/3x-1/5) please help
Answer: -2/3x+/2/5
Step-by-step explanation:
−2(13x−15)= (−2) (13x + −15) = (−2)(13x)+(−2)(−15)
Answer:
-2/3x +2/5
Step-by-step explanation:
Which of these is an example of typing at an average rate of 42 words per minute?
Answer:
28 in 2/3
Step-by-step explanation:
42/ 28 = 1.5
60/1.5= 40
40/60-4/6=2/3
28 in 2/3
HHHHHHHHHHHHHHHHEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPpppppppppJane sells pillows. For a sale, she marks them down 5%. If the original price of a pillow is $15.00, what is the sale price?
Answer:
$ 14.25 this is probably the answer
The required two expressions are
(1-0.05)P
0.95 P
Step-by-step explanation:
First method : Here, the original price of pillow = P,
She marks them down 5%
Thus, the selling price = P - 5% of P = P - 0.05 P = (1-0.05)P
Second method :
Since, some number is 100% of itself,
⇒ 100 % = P
⇒ 1 % = P/100 = 0.01 P
Also, by decreasing 5 % from 100 %
The remaining percentage = 100 - 5 = 95%
⇒ 95 % = 95 × 0.01 = 0.95 P
which is bigger 0.159 or 1.590
Answer:
1.590
Step-by-step explanation:
Answer:
0.159
Step-by-step explanation:its obvious hope this helped tho
Help plzz will give brainliest
Answer:
18.2
Step-by-step explanation:
because 17+24+19+17+14=91 then 91/how ever many numbers are in the equation not including the answer is what what you divide by in this case it is 5 so 91/5 is 18.2
Hope this helped!!
A Ferris Wheel is set up at the carnival it has a diameter of 45 feet. What is the total circumference if the ferris wheel makes 4 rotations around?
Answer:
The circumference is 565.2 feet when the ferris wheel makes 4 rotations.
Step-by-step explanation:
Given that the diameter of the wheel is 45 feet.
That is:
[tex]d = 45\ feet[/tex]
We have to find the radius first
[tex]r = \frac{d}{2} = \frac{45}{2} = 22.5\ feet[/tex]
The circumference of the circular wheel for one rotation will be:
[tex]C = 2\pi r[/tex]
And for four rotations' circumference the circumference of one rotation will be multiplied with 4.
[tex]C = 2 * 3.14 * 22.5\\C = 141.3\ feet[/tex]
Total circumference:
[tex]C_T = 4C\\= 4 * 141.3\\=565.2\ feet[/tex]
Hence,
The circumference is 565.2 feet when the ferris wheel makes 4 rotations.