Answer:
3y-4x = -6Step-by-step explanation:
First get the slope of the given line;
Given the equation of the line 3x+4y=12
Rewrite in standard form y = mx+c where m is the slope;
3x+4y=12
4y = -3x + 12
y = -3x/4 + 12/4
y = -3x/4 + 3
Hence the slope of the given line is -3/4
Since the required line is perpendicular to this line, the slope of the required line will be M = -1/(-3/4) = 4/3
Get the equation:
Substitute M = 4/3 and the point (3,2) into the point slope equation of a line as shown;
y-y0 = m(x-x0)
y - 2 = 4/3(x-3)
Cross multiply
3(y-2) = 4(x-3)
3y - 6 = 4x - 12
3y - 4x = -12 + 6
3y-4x = -6
Hence the required equation of the line is 3y-4x = -6
The gravitational ratio of the moon and the earth is 1:6 .If the weight of an object is 90N in the earth then find the weight of that object in the moon
Answer:
the weight of that object on earth is 90N
then on moon it will be 90/6 = 15N
Write a logarithmic function that represents the following transformations applied to the parent function: Reflection over the y-axis, a vertical stretch by a factor of (5/3) a transformation right 2 units, and a transformation down 6 units.
Answer:
Original function;
y = logbX
Transformation;
y = -5/3logb(x + 2) - 6
Step-by-step explanation:
General form of a logarithmic function is given below;
y = logb X (log to base b)
Reflection over the y-axis
y value remains same, x becomes negative
y = - logb X
Vertical stretch by a factor of 5/3
This means that we multiply the whole function by 5/3
That will be;
y = -5/3logbX
Transformation right 2 units
This means that we add the value of 2 to the x-axis value
y = -5/3logb(x + 2)
transformation down 6 units
This means that we subtract 6 from the total y value
y = -5/3logb(x + 2) - 6
write an equation of the line that passes through the given points. (3, 1), (0, 10)
Answer:
y = -3x + 10
Step-by-step explanation:
The image below shows proof that the equation y = -3x + 10 is the line that passes through the points (3, 1) and (0, 10).
Hope this helps! :)
Step-by-step explanation:
Make a graph and mark the points take the first number of each point and multiply them and your answer is three x.
Hey honey text me back please?
what is the answer to 7x8(8/2)
Answer:
224
Step-by-step explanation:
1. first divide 8/2 in the parentheses which will give you 4
2. Then multiply 4 to 8 which will give you 32
3. finally multiply 32 to 7 which will give you an answer of 224
f(x)=5x−3 evaluate the function
What is the area???????
Answer: 56mm
Step-by-step explanation:
A=(a+b)/2 x h
A=(4+12)/2 x 7
A=16/2 x 7
A=8 x 7
A= 56mm
Katherine has a $10 gift certificate
for an online store. She chose a pair
of shoes that cost $32.78, and a
dress that cost $27.24. Shipping is
$5.22. If she uses her gift certificate,
what amount will she need to pay?
Answer:
Katherine will pay $55.24.
Step-by-step explanation:
32.78 + 27.24 + 5.22
= 65.24
65.24 - 10
= 55.24
Katherine will pay $55.24.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
PLEASE ILL GIVE 40 POINTS!!! How do the magnetic and electrical components of electromagnetic waves travel in relation to each other?
at right angles
toward each other
in a circular motion
parallel to each other
Answer:
at right angles
Step-by-step explanation:
What is the sum of the interior angles of a 14 sided polygon?
Answer:
2160 degrees
Step-by-step explanation:
The general equation to find the sum of interior angles in a polygon is;
[tex](n - 2) * 180[/tex]
Where "n" is the sides of the polygon.
Substitute in 14 for "n"
( 14 - 2 ) * 180
Solve;
( 14 - 2 ) * 180
12 * 180
2160
Use the order of operations to simplify 5(3 1/5 + 2 4/5) - 0.6.
A. 29.4
B. -16
C. 23 2/5
D. 30.6
Answer:
A. 29.4
Step-by-step explanation:
5(3 1/5 + 2 4/5) - 0.6
5(6) - 0.6 parenthesis
30 - 0.6 multiplication
29.4 subtraction
a reindeer leaves the north pole flying east at 20mph. Another reindeer leaves the north pole at the same time flying west at 15mph. How long will it take them to be 700miles apart?
Answer: well if they leave at the same time and one leaves 5mph faster than the other then...
Step-by-step explanation: ... it will take 15 hours for them to be 700 miles apart
If you have two 6-sided dice, each with the numbers 1-6 on a side, what is the theoretical probability of rolling 3 and 3 when both die are rolled together?
Answer:
The probability is 1/36
Step-by-step explanation:
Since we have two dies rolled together, the sample space is 36
What we mean by the sample space is the number of total possible results
So the total number of results that we can get is 36
Out of all our result, 3,3 can only appear once
so the probability of getting 3,3 on both dice is 1/36
Answer:
1/36
Step-by-step explanation:
Plz help me plzzzz!!!!
Answer:
Definition of equilateral triangle
Step-by-step explanation:
All sides of equilateral triangles are equal.
What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?
y = One-thirdx
y = One-thirdx – 2
y = 3x
y = 3x − 8
Complete Question:
The given line segment has a midpoint at (3, 1). On a coordinate plane, a line goes through (2, 4), (3, 1), and (4, -2).
What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?
Answer:
[tex]y = \frac{1}{3}x[/tex]
Step-by-step explanation:
From the question, we understand that the line goes through [tex](2, 4), (3, 1), and\ (4, -2).[/tex]
First, we calculate the slope of the above points
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (2,4)[/tex]
[tex](x_2,y_2) = (3,1)[/tex]
[tex]m = \frac{1 - 4}{3 - 2}[/tex]
[tex]m = \frac{-3}{1}[/tex]
[tex]m = -3[/tex]
Also; from the question, we understand that the line segment is perpendicular to the above points.
This slope (m2) of the line segment is calculated as:
[tex]m_2 = -\frac{1}{m}[/tex]
Substitute -3 for m
[tex]m_2 = -\frac{1}{-3}[/tex]
[tex]m_2 = \frac{1}{3}[/tex]
Lastly, we calculate the equation of the line using:
[tex]y - y_1 = m_2(x - x_1)[/tex]
The line segment has a midpoint at (3, 1)
So:
[tex]y - 1 = \frac{1}{3}(x - 3)[/tex]
Open bracket
[tex]y - 1 = \frac{1}{3}x - 1[/tex]
Add 1 to both sides
[tex]y - 1 +1= \frac{1}{3}x - 1+1[/tex]
[tex]y = \frac{1}{3}x[/tex]
Hence, the equation of the line segment is: [tex]y = \frac{1}{3}x[/tex]
Answer:
A. y = One-thirdx
Step-by-step explanation:
2020 Edge
(y - 4) (5y + 6) = 0
Find the solutions
Answer:
Y=4,-5/6
Step-by-step explanation:
Answer:
1. y=4
2. y= -6/5
Step-by-step explanation:
Use the polygon on the coordinate plane to complete the statements. This polygon is a The length of side RV The length of side ST
Answer:
pentagon
is 14 units
cannot be determined
Step-by-step explanation:
Answer:
Step-by-step explanation:
Use the polygon on the coordinate plane to complete the statements. This polygon is a The length of - Brainly.com
yw thanks for the points have a nice day :}
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
To the nearest meter, how many meters are in 474 inches?
solve for x. x2-3[x-2]-4x=
Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle shown below.
16
30
Answer:
the answer is 34.
Step-by-step explanation:
the Phythagorean theorem is a^2 + b^2 = c^2.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. thank you and have a nice day!
Find the slope and the y-intercept of the graph of y=4x−5.
Hi!
The equation we're working with is in slope-intercept form:
[tex]\diamondsuit~\boldsymbol{y=mx+b}[/tex]
Where:
[tex]\diamondsuit[/tex] [tex]\boldsymbol{m- > slope}[/tex]
[tex]\diamondsuit~\boldsymbol{b- > y-intercept}[/tex]
Therefore,
[tex]\stackrel{\heartsuit}{\boxed{\boxed{\textsc{Answers:}\begin{cases}\bold{Slope:4}\\\bold{-5}\end{cases}}}}[/tex]
Cheers!I hope that helped, have a wonderful rest of your day! :)
The slope of the line is 4 and the y-intercept of the line is -5.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
The given equation of the line is y = 4x - 5. Compare the equation with the general form of the equation,
y = mx + c
y = 4x - 5
Slope m = 4
Y-intercept = -5
Therefore, the slope of the line is 4 and the y-intercept of the line is -5.
To know more about an equation of the line follow
https://brainly.com/question/18831322
#SPJ2
7. Where is most of the Earth’s supply of water found?
A. in rivers
B. in lakes
C. in glaciers and icecaps
D. in the ground
Simplify. Use the distributive
property and combining like terms to
simplify each expression.
7. 5x + 2(x – 3),
Answer:
7x - 6
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
5x + 2(x - 3)
Step 2: Simplify
Distribute 2: 5x + 2x - 6Combine like terms: 7x - 6Combining like terms is a process where you combine the terms with the same variable and/or exponent.
Let's say that we have an expression 3p + 3q. We can't combine the like terms, because 3p and 3q have different variables.
Now, what is the distributive property?
The distributive property is a property used for multiplying a monomial by a binomial or trinomial by "distributing" the monomial. The distributive property has a formula, which is:
[tex]\sf{a(b+c)=ab+ac}[/tex]
Here, a got multiplied by b and c.
Similarly, we combine the terms:
[tex]\sf{5x+2(x-3)}[/tex]
Simplify:
[tex]\sf{5x+2x-6}[/tex]
Combine like terms:
[tex]\sf{7x-6}[/tex]
Hence, the simplified answer is 7x - 6.
please solve thisss
Answer:
1,570
Step-by-step explanation:
10×2=20
20×3=60
30×5=150
40×7=280
50×4=250
60×3=180
70×8=630
Now,
20+60+150+ 280 +250+ 280+ 630=1,570
this is the answer
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{45.31}}}}[/tex]
❀ Explanation :
✑ Let's Know about A.M ( Arithmetic Mean )
In statistics , a single number can be calculated from a group of data which shows the character of the whole data. This number is called the average of the while data. An average is also called the arithmethic mean or simply mean which is a measure of central tendency.
☄ To calculate the average of the given type of data ( discrete series ) , follow the steps given below :
Make the table of 3 columns .Write down the items or observations ( x ) in the first column in ascending order and the corresponding frequency ( f ) in the second column.Multiply the data ( x ) by their corresponding frequency ( f ) and write down the product in third column of fx.Find the sum of f - column and fx - column separately.Divide the sum of fx by the sum of f , the quotient so obtained is the required mean.✐ Remember :
[tex] \underline{ \boxed{ \sf{mean \: = \frac{Σfx}{Σf} \: or \: \frac{Σfx}{n}}}} [/tex]
Where , Σf = N = Sum of the frequency and the symbol ' Σ ' ( sigma ) means " summation of " .
( See the workings in attached picture )
Hope I helped!
♪ Have a wonderful day / night ツ
~~
Please answer !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
x = 55 degrees
Step-by-step explanation:
180 - 164 = 16. 16 + 109 = 125. A triangle's angles should add up to 180, so to find the value of x, subtract 180 by 125 and you'll get 55.
Answer:55
Step-by-step explanation:
Steps below
Which statement about 272° is correct?
A. tan 272° < 0
B. sin 272° > 0
C. cos 272° < 0
Answer:
tan 272 < 0 is the correct answer
Step-by-step explanation:
Firstly, we need to understand the quadrant in which we have the angle
Mathematically, angle 272 is on the 4th quadrant
On the 4th quadrant, only the cosine value is positive, sine and tangent values are negative
Hence, we have that tan 272 < 0
is the correct answer
Answer: A. tan 272° < 0
Step-by-step explanation:
Ap3x Approved
What is a equation of a line perpendicular to -x+2=y that intersects the line at (-1.5,3.5)
Answer:
y= x + 5
Step-by-step explanation:
i took the test
Help me please I’d really appreciate it right now .
Answer:
sales tax is $0.6
total cost is $20.60
Step-by-step explanation:
20*0.03=0.6
20*1.03=20.6
What is the value of the expression below when z=3 and w =2
10z+ 5w
AMONG US CODE: BZPINF
find the missing side length
Answer:
The length of the missing side is
[tex]4 \sqrt{5} \\ if \: you \: want \: it \: not \: simplified \: it \: would \: be \: \\ \sqrt{80} [/tex]
Step-by-step explanation:
You could do Pythagorean theorem which is:
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {8}^{2} + {4}^{2} = {c}^{2} \\{64} + {16} = {c}^{2} \\ \sqrt{80} = {c}^{2} \\ 4\sqrt{5} = c[/tex]