[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{3})~\hspace{10em} \stackrel{slope}{m}\implies 7 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{7}(x-\stackrel{x_1}{6}) \\\\\\ y-3=7x-42\implies y = 7x-39[/tex]
Answer:
[tex]y-3=7(x-6)[/tex]
Step-by-step explanation:
Pre-SolvingWe are given that a line has a slope (m) of 7 and passes through the point (6,3).
We want to write the equation of this line.
There are three ways to do it:
Slope-intercept form, which is y=mx+b where m is the slope and b is the value of y at the y-intercept.Point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex] where m is the slope and [tex](x_1,y_1)[/tex] is a point. Standard form, which is ax+by=c where a, b, and c are free integer coefficients.As the question doesn't specify, either form should work, but let's write the equation in point-slope form as that's the easiest to do.
SolvingAs we are already given both the point and the slope, we can plug them both into the equation.
Starting with the slope, substitute 7 for m.
[tex]y-y_1=7(x-x_1)[/tex]
Now, substitute 6 as [tex]x_1[/tex] and 3 as [tex]y_1[/tex].
[tex]y-3=7(x-6)[/tex]
Find the values of sin, cosine, and tangent, for
[tex]sin = \frac{opposite}{hypotenuse} = \frac{3}{5} = 0.6\\\\cos = \frac{adjacent}{hypotenuse} = \frac{4}{5} = 0.66666666666666666666666666666667\\\\tan = \frac{opposite}{adjacent} = \frac{3}{4} = 0.75\\\\hypotenuse = 5[/tex]
HOPE THIS HELPS :)
What is the equation of the line that passes through the point (8,3) and has a slope of -1/2
Answer:
y=-1/2x+7
Step-by-step explanation:
y-y1=m(x-x1)
y-3=-1/2(x-8)
y=-1/2x+8/2+3
y=-1/2x+4+3
y=-1/2x+7
i need some help, please
Answer:
i think probably x = 10
Step-by-step explanation:
sin(60°) = 5√3/x
√3/2 = 5 √3/x
√3 x = 10√3
x = 10
Joyce drives from Louisville to St. Louis which is 260 miles in 4 hours. How many miles can she drive in 10 hours
Answer:
260 miles in 4 hours equals (260 / 4) = 65 miles per hour
In 10 hours she can drive 650 miles
Step-by-step explanation:
Which relationships have the same constant of proportionality between y and x as the following table?
y
4
32
7
56
8 64
Choose 3 answers:
Answer:
A,C and D are the answers.
Step-by-step explanation:
I did it on Khan Academy and got it right.
What is needed to get accurate measurement of distance/length? Explain
What is the missing number in the table
Graham drove 42 - miles in 1
hours. How many miles did he
drive in one hour? How man
hours did he take to drive one
mile?
Mr. Jay sells a box of 15 seedlings for new trees for $12.84. Mr. Tony sells a box of 18 seedlings for $14.95. What is the cost per seedling for each person? Round your answer to the nearest cent (hundredth). Which is the better buy?
Mr. Jay’s cost $____________ per seed. Mr. Tony’s cost $____________ per seed.
Buying a box of seedlings from _____________________ is the batter buy.
Answer: Mr. Jay’s cost 85 cents and Mr. Tony’s costs 83 cents.
Step-by-step explanation:
you divide the price by how many seeds they sold.
9490 divided by 5.explain how you got the answer
Answer:
The number 9490 is called the numerator or dividend, and the number 5 is called the denominator or divisor.
The quotient of 9490 and 5, the ratio of 9490 and 5, as well as the fraction of 9490 and 5 all mean (almost) the same:
9490 divided by 5, often written as 9490/5.
Read on to find the result of 9490 divided by 5 in decimal notation, along with its properties.
A speed skater completes a 500-meter race in 40 seconds. A cheetah runs 260 meters in 10 seconds. How do their speeds compare?
Find the number of meters a speed skater and a cheetah travel in 1 second.
A speed skater travels (blank) meters per second.
A cheetah travels (blank) meters per second.
If the sales tax in your town was 7%, and you paid $1,400 in sales tax on your new car, then what was the original
price of the car? And what is the total price including sales tax?
Please be accurate of your answer and explain.
Answer:
$20,000
Step-by-step explanation:
20,000 / 0.07 = 1400
can someone plzzz help me with this (multiple choice ) i have more if anyone is good at this
Divide 5.6 by 0.7 the quotient is what ?
6x+3y=13 find the value
6x+3y=13
6x+3y-13=13--13
6x+3y-13=0
Please answer these!!!! :D
The product of two irrational numbers is
______ rational
Answer:
The product of two irrational numbers will not be irrational.
Step-by-step explanation:
Answer:
The product of two irrational numbers will not be irrational.
Step-by-step explanation:
A rectangular swimming pool is 4 ft deep. One side of the pool is 4.5 times longer than the other. The amount of water needed to fill the swimming pool is 1800 cubic feet.
Find the dimensions of the pool.
Answer:
19 x 23.5 x 4
Step-by-step explanation:
4 * x * (x + 4.5) =1800
Divide both sides by 4
x * (x + 4.5) = 450
Use distributive property
x^2 + 4.5x = 450
Move all terms to one side
x^2 + 4.5x - 450 = 0
Use quadratic formula to solve a = 1, b = 4.5, c = -450
-4.5 +- [tex]\sqrt{4.5^2 - 4 * 1 * -450}[/tex]/2
=-4.5 + - [tex]\sqrt{1820.25}[/tex] / 2
= -4.5 +- 42.664 / 2
=19.08 and -23.582. You can't have a negative length, so it is 19.08, or 19
19 x 23.5 x 4
what is -5.3125 in The real Number System?
Answer:
It'd be a rational number
Step-by-step explanation:
Real numbers are a set of numbers containing all of the rational numbers and all of the irrational numbers.
Types of numbers in the rational number "section" are decimals, whole, mixed, and fraction numbers whether they are negative or positive they are rational numbers.
Irrational numbers are numbers that cannot be expressed as the ratio of two integers. So they would be square root, pi and more.
Sami has a bag full of 4900 marbles of three different colors which include blue, green and black in the ratio 16:13:20. Find the number of each colored marbles in her bag.
Answer:
See the calculation below
Step-by-step explanation:
[tex]16 + 13 + 20 = 49[/tex]
[tex]blue = \frac{16}{49} \times 4900 \\ = 1600[/tex]
[tex]green = \frac{13}{49} \times 4900 \\ = 1300[/tex]
[tex]black = \frac{20}{49} \times 4900 \\ = 2000[/tex]
I need help plz I've tried so many ways :(
Answer:
Below in bold.
Step-by-step explanation:
0.3. e^3x = 27
Taking logs of both sides:
ln (0.3. e^3x) = ln 27
ln (0.3) + ln e^3x = ln 27
ln e^3x = ln 27 - ln(0.3)
3x = ln 27 - ln 0.3
3x = ln(27/0.3) = ln 90
x = 1/3 ln 90
x = ln (90^1/3)
Approximate value of x:
= 1.499936557
= 1.500 to the nearest thousandth.
Find (fog)(x) and the domain
Answer:
(fog)(x) = 2sqrt(x) + 3
Domain: {x | x ∈ R, x>=0}
Step-by-step explanation:
(fog)(x) = f(g(x))
let f(a) = f(g(x))
f(a) = 2a+3 = 2(g(x)) + 3 = 2sqrt(x) + 3
To find domain, pick most restricting domain of the functions that make up the compound function.
Loto begins at his back door and walk 8 yards east, 6 yards north, 12 yards east, and 5 yards north to the barn door. About how many yards less would he walk if he could walk directly from the back door to the barn door?
If he could walk directly from the back door to the barn door, he would walk 10.2 yards less.
First, let's define our coordinate axis, I will use north as the y-axis and east as the x-axis.
So let's assume that Loto begins at the point (0, 0).
Then:
He moves 8 yards east, to: (8yd, 0)He moves 6 yards north, to: (8yd, 6yd)He moves 12 yards east, to: (20yd, 6yd)He moves 5 yards north, to: (20yd, 11yd)So he walked a total of 8yd + 6yd + 12yd + 5yd = 33yd
So he just moves from (0, 0) to (20yd, 11yd), thus the displacement is:
[tex]D =\sqrt{(20yd - 0yd)^2 + (11yd - 0yd)^2} = 22.8ft[/tex]
So, if he could walk directly he would only walk 22.8 ft
The difference is:
33yd - 22.8yd = 10.2 yd.
He would walk 10.2 yards less if he could walk directly from the back door to the barn door.
If you want to learn more about displacements, you can read:
https://brainly.com/question/13271165
12a^2*b^4-36a^2*b+44abc
Let's simplify step-by-step.
[tex]12a^2*b^4-36a^2*b+44abc=[/tex]
There are no like terms.
Answer:
[tex]12a^2*b^4-36a^2*b+44abc=[/tex]
Express the dollowing fraction in decimal form as a terminating decimal or as a infinite repeating decimal 3/16
Answer:
3/16 as a decimal is equal to 0.1875.
Let's convert the given fraction to a decimal number.
Explanation:
To convert any fraction to decimal form, we just need to divide its numerator by denominator.
Here the fraction is 3/16 which means we need to perform 3 ÷ 16.
So, 3/16 is equal to 0.1875.
Hope that helps you in some way.
4. The function y=-0.12x + 0.4 represents the percent y in decimal form of
battery power remaining x hours after turning on the laptop.
The slope is BLANK. This means the power is BLANK
by BLANK % per hour.
Please fill in blanks tysm
Answer:
Slope=0.12 power is down by 28%
Step-by-step explanation:
:)
What is the constant term -6+x4-x2
Answer:
-6
Step-by-step explanation:
A constant term is a term that does not have a variable attached, x4 and x2 are both terms that include a variable, so -6 is the constant term.
1) 0.52 + 1.6 + 8.26 =
2) 1.4 + 5.98 + 9 + 0.39 =
3) 4.45 + 7 + 0.049 =
4) 12.54 – 1. 054 =
5) 0. 685 – 0. 5903 =
6) (34. 89) (0.875) =
7) (840) (0.625) =
8) 28.5 ÷ 0.87 =
9) 104 ÷ 6.4 =
Step-by-step explanation:
1 10.38
2 16.77
3 11.499
4 11.486
5 0.0947
6 30.52875
7 525
8 32.57862069
9 16.5625
6. Jan went to the mall with $20. She spent $5 at the mall. What decimal represents how much of her $20 she spent at the mall?
Answer:
0..........5
Step-by-step explanation:
The amount of money in a savings account is an example of which of the following?
a. investment asset
b. liquid asset
C. long term asset
d. use asset
Answer: b. liquid asset.
The money in your checking account, savings account, or money market account is considered liquid because it can be withdrawn easily to settle liabilities.
A savings account is a liquid asset that can be easily converted into cash. Hence, option b is correct.
A savings account is considered a liquid asset because it can be easily converted into cash without any significant loss in value.
Unlike long-term assets that may require a lengthy process to convert into cash, such as real estate or investments, savings accounts offer quick access to funds.
This makes them highly liquid and suitable for short-term financial needs. Liquid assets provide individuals with a sense of financial security and flexibility, as they can be readily used to cover emergencies, expenses, or investments.
Overall, a savings account serves as a convenient and safe option for individuals to save and access their money when needed.
Hence, It is an example of a liquid asset which is option b.
To learn more about assets visit:
https://brainly.com/question/14826727
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