Write the equation of a line that is perpendicular to y = 3x - 2 and goes through the point (0,5)
Answer:
y = -1/3x + 5
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes. This means that if you multiply the slopes of both linear equations, the product will be -1.
Given the linear equation, y = 3x - 2, and the point (0, 5):
The negative reciprocal of the slope (m) = 3 is -1/3. Hence, we can assume that the slope of the other line must be -1/3.
Next, using the slope of the other line (m = -1/3) and the given point, (0, 5), we'll substitute these values into the slope-intercept form, y = mx + b, to solve for the y-intercept (b):
y = mx + b
5 = -1/3(0) + b
5 = 0 + b
5 = b
The y-intercept (b) of the other line is 5.
Therefore, the linear equation of the line perpendicular to y = 3x - 2 is:
y = -1/3x + 5
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3/5 × 7 1/2 ÷ 2 7/10
Answer:
simplify??
Step-by-step explanation:
Exact form:5/3
Decimal form:1.6
Mixed number form:1 2/3
Use the formula to find the slope of the line that passes through these two points. Show your work.
(1,2) and (7,7)
Answer:
Solution given:
[tex](x_1,y_1)=(1,2)[/tex]
[tex](x_2,y_2)=(7,7)[/tex]
now
slope:[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{7-2}{7-1}=\frac{5}{6}[/tex]
Slope: 5/6
YALL PLEASE HELP
NO ONE IS ANSWERING THIS DANG QUESTION -n-
The answer to this question is 0.16666666666
2tanx - 3cotx + 1 = 0
Answer:
hope its helpful
have a great day
This question is really bothering me: A restaurant has a square floor with an area of 324 m². Sketch the resaurant floor. What are its dimensions?
The required dimensions of the restaurant is 18 by 18 meters.
Given that,
This question is really bothering me: A restaurant has a square floor with an area of 324 m². Sketch the restaurant floor. dimensions are to be evaluated.
Surface area is defined as the collective region, whose mathematical expression can be formed.
here,
Let the sides of the square restaurant be a,
The area of the restaurant = area of the square
324 = a²
a = √324
a = 18 meters,
Thus, the required dimensions of the restaurant are 18 by 18 meters.
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here is a graph of a polynomial function with degree 4 what statements are true about the function?
The statements that are true about the functions are:
The leading coefficient is positive.
It has two relative maximums
It has four linear factors.
One of the zeroes is x = 2.
What is a polynomial?Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
We have,
From the graph,
The graph passes through the following points on the graph.
x = -4
x = -2
x = 2
x = 6
This means the polynomial function is:
P(x) = (x + 4)(x + 2)(x - 2)(x - 6)
If we simplify the polynomial we get,
P(x) = (x² + 2x + 4x + 8) (x² + 6x - 2x + 12)
P(x) = [tex]x^{4}[/tex] + 6x³ - 2x³ + 12x² + 2x³ + 12x² - 4x² + 24x + 4x³ + 24x² - 8x² + 48x + 8x² + 48x - 16x + 96
P(x) =[tex]x^{4}[/tex] + 10x³ + 44x² + 104x + 96
The leading coefficient is positive 1 so it is positive.
The constant term is a positive number (96).
The relative maximum is a point on the graph where the function changes from increasing to decreasing.
So,
From the graph, there is only one point.
So only one relative maximum.
The relative minimum is a point on the graph where the function changes from decreasing to increasing.
So,
From the graph, there are two relative maximums.
The function has four linear factors
(x + 4), (x + 2), (x - 2), and (x - 6).
x = -4, x = -2, x = 2, and x = 6
Thus,
The statements that are true about the functions are:
The leading coefficient is positive.
It has two relative maximums
It has four linear factors.
One of the zeroes is x = 2.
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how would you write 9x(4+9)= in distributive proparty?
Answer:
117
Step-by-step explanation:
not sure if the x after the 9 was a variable of the letter x or multiplication i put it as multiplication.
Multiply the following and provide the product in standard from thank you
Answer:
x^3 + 4x^2 - 7x - 10
Step-by-step explanation:
To solve this we're going to use Polynomial multiplication, starting by multiplying (x-2)(x+1) = x^2 - 2x + x - 2 = x^2 - x - 2. Next, we will multiply (x^2 - x - 2)(x+ 5) = x^3 + 5x^2 -x^2 - 5x -2x -10 = x^3 + 4x^2 - 7x - 10.
what is 6+6 i need the answer fast
Answer:
Step-by-step explanation:
12
8. 8(x) = 2x² + 10x; 8(-4)
Answer:
x = {5.701562119, -0.701562119}
PLEASE ANSWER 9 AMD 10 I BEG YOU YOU DONT NO HOW MUCH IT WOULD HELP
9a: 1/5. She takes a 1/5 and puts it in each so your fraction is 1/5
9b: $105. 525 / 5 = 105
10: Option 1. He gains more money this way.
In option 1 if he gets his allowence for 4 weeks, he would make $15 (1+2+4+8).
But in option 2 he would only make $4 because the square of 1 is 1 (1+1+1+1)
Hope that helps and hope I did that correctly
Total amount = $525
Split by a fraction, divide by 5 and then again divide by 5:
525*1/5*1/5 = 525*1/25 = 21a) The fraction = 1/25b) The amount = $21#10Option 1 results in sequence:
1, 1*2=2, 2*2=4, 4*2=8, etcOption 2 results in sequence:
1, 1² = 1, 1² = 1, 1² = 1, etc.It's obvious that option 1 is a better choice.
If 5 more than 5 times a number is 15, what is the number?
A) 4
B) 2
C) -4
D -2
Answer:
B) 2
Step-by-step explanation:
5 + 5x = 15
5x = 15 - 5
5x = 10
x = 2
In my point of view, the correct answer is B) 2
Hope it helps.
The polynomial function P(X) = 30x - 97,000 models the Relationship between the number of computer briefcases x that a company sells and the Profit the company makes , P(x). find p(4000) computer Briefcases
Answer:
A Is the mega super duper pooper hooper flooper booper answer
Step-by-step explanation:
Brainlyyyyyyyy
After a 80% reduction, you purchase a new washing on sale for $104. What was the original price of the clothes dryer?
Answer:
$520 dollars
Step-by-step explanation:
104÷2 = 52 × 10 = 520
what is the product please
-1/6 x 7 x 2/5
The correct answer is: " [tex]- \frac{7}{15}[/tex] " ; or, write as: " [tex]\frac{-7}{15}[/tex] " .
________________________________________
Step-by-step explanation:
→ -1/6 * 7 * 2/5 ; [tex]\frac{-7}{15}[/tex]
= " [tex]\frac{-1}{6} *\frac{7}{1} *\frac{2}{5} = \frac{(-1*7*2)}{(6*1*5)} = \frac{-14}{30}[/tex] " ;
Now, simplify the value: " [tex]\frac{-14}{30}[/tex] " ;
_______
→ " [tex]\frac{-14}{30} = \frac{(-14/2)}{(30/2)} = - \frac{7}{15}[/tex] " ;
_______
The correct answer is: " [tex]- \frac{7}{15}[/tex] " ; or, write as: " [tex]\frac{-7}{15}[/tex] " .
_______
Hope this is helpful to you!
Wishing you well !
_______
What is the value of f(x) = 5x +1 at f(-4) ?
Solve please....................................
Answer:
angle (3x-15)°=angle (2x+10)° (by vertically opposite angles)
3x-15=2x+10
3x-2x=10+15
x=25
by putting the value of x.
3x-15=3×25-15 = 60°
38°+ 60°+ <ebf= 180° (by sum of all sides is 180° )
98°+<ebf = 180°
<ebf = 180° - 98°
<ebf = 82°
what has the same value as 0.45
Answer:
9/20 or 45%
Step-by-step explanation:
Step-by-step explanation:
WHY IT IS SAYING YO WRITE AT LEAST 20 CHARACTERS
OHH, IT IS ALREADY 20 CHARACTERS
help please.., asap thanks
Answer:
4.5
Step-by-step explanation:
1. The slope/unit rate in this equation is 4.5. The constant of proportionality, k, is the same thing as the slope, meaning that's the k = 4.5.
A. Levi decorates with a stamp foot long and į foot wide. What is the area of the stamp? 3 4 B. The work space in Lillian's room has a width of meter and an area of į square meter. How long is it? 3 3 C. Lauren jogs around a rectangular course with a length of mile and an area of į square mile. How wide is the course? D. Layton paints on a canvas that has a length of yard and an area of square yard. How wide is the canvas? ? 1
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The statement representing the problem is :
Layton points on a canvas that has a length of 1/3 yard and an area of 3/4 square yard. How wide is the Canvas ?D is the Correct choice ~
how do i solve this problem?
Answer:
The fraction for 0.455555... is 41/90.
Step-by-step explanation:
Hope this helps!
Arrange the following inequality into slope-intercept form. Then, describe what type of boundary line would be used and where to shade.
6x > 2y ‒ 5
Answer:
To put this equation in point slope form, we want an equation of the form y=mx+b or in this case, y< mx+b or y< mx+b. To isolate y, we divide through by 2 and move the 5/2 to the other side, so the equation becomes 3x+5/2 > y. So, since we are interested in all values of y that are less that 3x+5/2 we would shade the region below the line. Since y=3x+5/2 is not a solution to the inequality since it is strictly less, we would need a dashed boundary line since the boundary is not included.
Step-by-step explanation:
Brian painted 2/3 of a fence in 3/4 of a day. How long will it take him to paint the entire fence?
Answer:
9/8 days
Step-by-step explanation:
If it takes him 3/4 of a day to paint 2/3 of a fence, it would take him 9/8 days to paint the whole fence ((3/4)/(2/3)).
You can think of it like this:
It would take 3/8 of a day to paint 1/3 of a fence. So to find how long it takes to paint the whole fence, multiply 3/8 by 3.
GCF of 28, 48, and 64
Answer:
14
Step-by-step explanation:
How do i get 51 with the numbers 5, 6, 7, 8? Must use all of the numbers and only can use addition, subtraction, multiplication, or division.
Answer:
(8-5)*(6+7+(8-6)+(7-5))
Step-by-step explanation:
By using the digits in a way of (8-5)×(6+7+(8-6)+(7-5)) we get 51.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, we have to get a result of 51 using the digits 5, 6, 7, 8 and must use all of the numbers and only can use addition, subtraction, multiplication, or division this can be formed as,
51 = (8-5)×(6+7+(8-6)+(7-5))
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In a Physics lesson, Chantelle adds weights to a spring and carefully measures the extension. She finds that the weight, y g is related to the extension, x cm by the formula y = 0.5x + 1 for 0 ≤ x ≤ 20. a Draw the graph of y against x for 0 ≤ x ≤ 20. b Use this graph to find the (i) weight for a 17 cm extension (ii) extension produced by a 5 g weight. c What would Chantelle's formula predict for the springs extension for a 1 kg weight? Comment on your answer
Solve for x. will mark brainlis
Answer:
im not very good at math so maybe 202.5 but that might be a little high
Step-by-step explanation:
Evaluate 5 + {2[(48 – 40) ÷ 4 + (2 x 5)]}
29
28
45
19
Answer:
29
Step-by-step explanation: 5 + 2 [(48 - 40)/4+(2 x 5)]
Russ has a car that averages 9.8 miles per gallon. Mike's car averages 39.2 miles per gallon. How many times more miles per gallon does Mike's car average than Russ's car
Answer:
3580.267
Step-by-step explanation:
that's all I have for u
Answer:
4
Step-by-step explanation:
39.2 - 9.8
Use standard algorithm...
Your result will be
29.4
Next, do 29.4 ÷ 9.8.
You will get 3
Add one more and get 4 for your answer.
-kiniwih426