Answer:
Point-Slope Form: y - 1 = -1/2(x - 4) or Standard Form: y = -1/2x + 3
Step-by-step explanation:
For a line to be perpendicular, you take the negative inverse of the slope of 2x - y = 4. To do this, rearrange the y to one side and you get y = 2x - 4. The slope of the line is 2. So, taking the negative inverse would be -1/m (with m being slope of the the equation given in the problem. This would give you -1/2.
Using point slope formula, y - y1 = m(x - x1), you can plug in the point given, (4,1) and the slope you found to get y - 1 = -1/2(x - 4). For standard form, isolating the y gets you y = -1/2x + 3.
You can check your answer by using Desmos by putting in the line 2x - y = 4, the point (4,1), and the equation you got as your answer. You will see that the equation is perpendicular to 2x - y = 4 and passes through point (4,1). Your equation of the line is y - 1 = -1/2(x - 4) or y = -1/2x + 3
Hope this helps!
Here, we are required to find the equation of the line that passes through the point (4,1) and is
perpendicular to the line 2x - y = 4.
The equation of the line is: y = (-x/2) + 3
First, the product of the slopes of 2 perpendicular lines is -1.
Therefore, M1 × M2 = -1.
By rearranging the equation 2x - y = 4 to mimic the equation of a straight line; y = mx + c.
we have, y = 2x + 4 and obviously slope, m1 = 2.
Therefore, since M2 = -1/M1 from above;
M2 = -1/2
Therefore, the equation of the required line is given by;
M2 = (y - y1)/(x - x1)
where, M2 = -1/2, y1 = 1 and x1 = 4.
Ultimately, -1/2 = (y - 1)/(x - 4)
The equation of the line is then given as;
y = (-x/2) + 3.
Read more:
https://brainly.com/question/23343212
please help me I would also like an explanation
Answer:
k = 45*
2k = 90*
Step-by-step explanation:
K will be the same as the 45* degrees, as it is across from it.
2k is twice k, which is 90*.
45* + 45* + 90* = 180*
Good luck!
Laura spent 78.5% of her paycheck on her mortgage payment. If her paycheck was $1562 how much was her mortgage?
Answer:
$337.12
Step-by-step explanation:
Multiply $1562 by 78.5% (or 0.785) =1230.88
Then subtract the percent of her paycheck spent (1230.88) from the total of her paycheck(1562) to find out how much is missing(the mortgage payment)
1562-1230.88=337.12
There are 3 times as many females as males on the maths course at university. What fraction of the course are male?
Give your answer in its simplest form.
Answer:
1/3
Step-by-step explanation:
Because I’m right
HELP ASAP!!! PlEASE
identify the domain and the range of the function
So the first graph is Radical/Irrational Graph and the second is Parabola/Quadratic Graph.
You can find the domain by looking at the x-axis and for the range, look at the y-axis. That means all of x-axis is the domain and all of y-axis is the range.
From the first graph, the domain is from -2 to +infinite. But because there's a colored dot, it's either ≥ or ≤.
But because -2 is less than + infinite, we use ≤ instead. Thus, x ≥ -2
Remember that x-values can't be equal to infinite. So we use < instead since there's no x-values that are equal to ∞.
Or we can write in interval notation as [-2,+∞) for symbol "[ or ]" is equal to ≤ or ≥ and ") or (" is equal to > or <
Again, the domain for the first graph is x ≥ -2 or x ∈ [-2, +∞)
And the range, look at the y-axis. Because we can substitute x from -2 to less than ∞, that means the range is from -1 because when x = -2 then x = -1 to + infinite.
Therefore, the range is y ≥ -1 or y ∈ [-1, +∞)
Now for the second graph. Look at the x-axis to find the domain. We notice that the colored dot is at x = -3 and the one with white dot is at x =2. The one without the color or white dot is > or < while the colored one is ≥ or ≤.
So the domain is -3 ≤ x < 2 or x ∈ [-3, 2)
For range, look at the y-axis. Notice that the colored dot is at y = -5 and the maximum point is at y =4. The y =4 is still in the domain so the range still applies to the maximum point.
Therefore the range is -5 ≤ y ≤ 4 or y ∈ [-5, 4]
9. Given f(x) and g(x), find f(g(3))
f(x) = x2 +9
g(x) = x - 7
O A) -13
O B) 25
O C) 11
OD) 2
=============================================
Work Shown:
g(x) = x-7
g(3) = 3-7 .... replace every x with 3
g(3) = -4
f(g(3)) = f(-4) .... replace g(3) with -4
f(x) = x^2+9
f(-4) = (-4)^2+9
f(-4) = 16+9
f(-4) = 25
f(g(3)) = 25
-------------------------
Another approach:
f(x) = x^2 + 9
f( g(x) ) = ( g(x) )^2 + 9 ... replace every x with g(x)
f( g(x) ) = ( x-7 )^2 + 9 ... plug in g(x) = x-7
f( g(3) ) = ( 3-7 )^2 + 9 .... plug in x = 3
f( g(3) ) = ( -4 )^2 + 9
f( g(3) ) = 16 + 9
f( g(3) ) = 25
Donovan rode 135 miles on his bike at a unit rate of 27 miles per hour. How many hours did he spend riding?
Answer:
5 HOURS
Step-by-step explanation:
Answer:
5 hours
Step-by-step explanation:
An aquarium is on on sale for $59.50. If this represents a 15% discount from the original price, what is the original price to the nearest cent.
Answer:$68.43
Step-by-step explanation:
What is 62% of 500 ? ?
Answer:
310
Step-by-step explanation:
Answer: 310
Step-by-step explanation: 2% equals 10, so just keep counting up until you get 62%.
Hopefully this helped! :D
what is the constant in the expression 13x3+x2-4x+8
Answer:8
Step-by-step explanation:
it is the only one without a variable.
Answer:
[tex]\boxed {\tt 8}[/tex]
Step-by-step explanation:
A constant is a term without a variable.
Let's analyze each term of the expression: 13x³+x²-4x+8
13x³: this has a variable of x³
x²: this has a variable of x²
-4x: this has a variable of x
8: this has no variable
Since 8 is the term without a variable, 8 is the constant.
Evaluate the expression and express result in scientific notation (4.3 x 10^2)(1.1 x 10^7)
Answer:
Your correct answer is 4.73x^10000100
If x varies directly as y, find x when
y = 1 if x = 12 when y = 4.
A. 1
B. 3
C. 4
D. 9
HELPMEE
this is my question paper please give me answer how much you all can please
Answer:
1st:Business is an organization or enterprising entity engaged in commercial, industrial or professional activities. Stephenson defines that the regular production or purchase and sale of goods under taken with an objective of earning profit and acquiring wealth through the satisfaction of human wants.
aspects:Marketing, Product Development, Sales, Customer Service, on and on and on
organic fertilizer:An organic fertilizer is a fertilizer that is derived from organic sources, including organic compost, cattle manures, poultry droppings and domestic sewage
advantage:Organic materials and fertilizers improve the soil texture, allowing it to hold water longer, and increase the bacterial and fungal activity in the soil
herbal plant and uses: chamomile
tulsi
Mexican mint
garlic
tumeric
(I will answer other questions,gimme some time pls)
A hat contains 6 red marbles, 4 yellow marbles, 2 blue marbles, and 8 green marbles. One marble is drawn randomly. Find the probability the marble is red or yellow.
Answer:
Red=6
Yellow=4
Blue=2
Green=8
Total=20
Probability for Red = 6/20 = 3/10
Probability for Yellow = 4/20 = 1/5
An industrial printing machine printed 1764 pages in 6 minutes. How much would it have printed in 4 minutes?
Answer:
1176
Step-by-step explanation:
i hope this helps out
A fireplace arch is to be constructed in form of a semiellipse. The opening is to have a height of 2 feet at the center and a width of 6 feet along the base. The contractor cuts a string of a certain length and nails each end of the string along the base in order to sketch the outline of the semiellipse.
1. What is the total length of the string?
2. How far from the center should the string be nailed into the base?
Answer:
The total length of the string is 7.85 feet and the center should be 2.236 feet far the string be nailed into the base
Step-by-step explanation:
Circumference of ellipse = [tex]\pi(a+b)[/tex]
Circumference of semi-ellipse = [tex]\frac{\pi(a+b)}{2}[/tex]
we are given that The opening is to have a height of 2 feet at the center and a width of 6 feet along the base.
So, [tex]a = \frac{6}{2}=3 , b = 2[/tex]
Circumference of semi-ellipse =[tex]\frac{3.14(3+2)}{2}=7.85 feet[/tex]
Distance from center =[tex]\sqrt{a^2-b^2}=\sqrt{3^2-2^2}=2.236 feet[/tex]
Hence the total length of the string is 7.85 feet and the center should be 2.236 feet far the string be nailed into the base
compare 249 and 271 write the greatest number in word form.
Answer:
271>249
Two hundred seventy-one is greater than two hundred forty-nine
I don't know if you should only write the bigger number
Answer:
3.7/5. 6.
Step-by-step explanation:
a store has a outfit that is $35.00 and 50% of what is the price now.
Answer:
$70Step-by-step explanation:
The price is x
50% of the price is $35
x*0.5 = 35x = 35/0.5x = 70Answer is $70
Answer:
$17.50Step-by-step explanation:
50% off the price of $35
= $35 ( 0.50)
= $17.50 (price now)
One fifth of r is fifteen what is r
Answer:
75.
Step-by-step explanation:
r = 15
r = 1/5 of x
15*5=75
x = 75
solve
e - 13 = 31
WILL GIVE BRAINLIEST
Answer:
44
Step-by-step explanation:
Step 1:
e - 13 = 31 Equation
Step 2:
e = 31 + 13 Add 13 on both sides
Answer:
e = 44 Add
Hope This Helps :)
Write an inequality for the situation: the sum of two numbers is less than 5.
if x^2-x-6 and x^2+3x-18 hacpve a common factor (x-a) then find the value of a.
Answer:
a = 3
Step-by-step explanation:
Factor both expressions
x² - x - 6
Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 1)
The factors are - 3 and + 2 , since
- 3 × 2 = - 6 and - 3 + 2 = - 1 , thus
x² - x - 6 = (x - 3)(x + 2)
-----------------------------------
x² + 3x - 18
consider factors of constant term (- 18) which sum to give the coefficient of the x- term (+ 3)
The factors are + 6 and - 3 , since
6 × - 3 = - 18 and 6 - 3 = + 3 , thus
x² + 3x - 18 = (x + 6)(x - 3)
Both expressions have a common factor of (x - 3)
Compare with (x - a ), then a = 3
Which equation can be used to graph the line that passes through (6, 15) and is perpendicular to the graph of y-7=1/2(x+2)
Answer:
y = -2x + 27
Step-by-step explanation:
Firstly, we shall need to reform the given line equation;
y-7 = 1/2 ( x + 2)
y - 7 = x/2 + 1
y = x/2 + 1 + 8
y = x/2 + 8
Comparing this with y = mx + c
where m is the slope, then the slope of the line is 1/2
Since the line we are looking for has a slope perpendicular to this line, it means that the product of their slopes is -1
m1 * m2 = -1
1/2 * m2 = -1
m2 = -2
So we want an equation with slope -2 passing through (6,15)
we use the point slope method here;
y-y1 = m(x-x1)
y-15 = -2(x-6)
y-15 = -2x + 12
y= -2x + 12 + 15
y = -2x + 27
4x - 7 <-35
Please help
Answer:
x < -7
Step-by-step explanation:
treat is like a normal equation when solving, solve using inverse operations
4x - 7 < -35
+7 +7
4x < -28
/4 /4
x < -7
PLZZZZZ HELP NEEDED ASAP WILL GIVE BRAINLIEST (IF RIGHT)
Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.
x= 90° - 63° = 27° (NO perpendicular to AOB)
angle DOB = (90°+90°) -128° (angles on a straight line)
= 180° - 128°
= 52°
y= 180° - x - 63° - angle DOB (angles on a straight line)
=180° - 27° - 63° - 52°
= 38°
I'm not sure of the answer tho^^ good luck!
Show why 4y + 6 < 38 and -3x - 6 > 18 are considered equivalent
inequalities
Answer:
undefenide+
Step-by-step explanation:
0e46.38 times 6.1 = undefenide+
I hope thishelped your question and have a big A +
byeee✍✍✍
What is 7/20 in decimals
Answer: 0.35 your welcome
Step-by-step explanation:
The following expression represents the population of colony of penguins in Antarctica: P,= 17.2.3 P, is the penguin population, and r is time in days. a. What is the population after 6 days? b. When will P, be 650 penguins?
9-9-9-9-9-9-9-9-9-8-8-8-8-8-7-7-7-77-7-7-7-7-6--35-3-5-34-5-4-5-34-35366386647832648638764872384687384326478364687326467823648723648723
I think that this would be a great question for a calculator. All you need to do is plug the numbers in, and the calculator will solve the problem for you {although that last number might be a bit long for the calculator:) }
Answer:
Your answer is -3.5366387e+67
Step-by-step explanation:
your welcome
need help with 4 ASAP