Answer:
y = (-3/4)x - 4
Step-by-step explanation:
The slopes of perpendicular lines are opposite reciprocals of each other. In other words, if the slope of one line is a/b, then the slope of the line perpendicular to it would be -b/a.
Here, the given slope is 4/3, so the slope of the perpendicular line is -3/4.
We are given a point (-4, -1) and we know the slope, so we can find the point-slope form of the line. Point-slope form is written as y - y1 = m(x - x1), where (x1,y1) is the point and m is the slope. Here, x1 = -4 and y1 = -1 and m = -3/4. So:
y - y1 = m(x - x1)
y - (-1) = (-3/4) * (x - (-4)) = (-3/4) * (x + 4)
y + 1 = (-3/4)x + (-3/4) * 4 = (-3/4)x - 3
y = (-3/4)x - 3 - 1
y = (-3/4)x - 4
39. Tugboat A and Tugboat B are pulling a barge. Each tugboat is connected to the barge via a
cable. If the length of the cables are 72 meters and 77 meters and the tugboats are 35 meters
apart, find the angle formed between the cables.
Answer:
[tex]26.903^{\circ}[/tex]
Step-by-step explanation:
a = 77 m
b = 72 m
c = Distance between the tugboats = 35 m
[tex]m\angle C[/tex] = Angle between the cables
[tex]c^2=a^2+b^2-2ab\cos C\\\Rightarrow m\angle C=\cos^{-1}\dfrac{c^2-a^2-b^2}{-2ab}\\\Rightarrow m\angle C=\cos^{-1}\dfrac{35^2-77^2-72^2}{-2\times 77\times 72}\\\Rightarrow m\angle C=26.903^{\circ}[/tex]
The angle formed between the cables is [tex]26.903^{\circ}[/tex].
Evaluate 9-5+(48/2)x5x7+6
Answer:850
Step-by-step explanation:
I hope it helps
Part A
Based on the graph, how many zeros does the polynomial function, f(x) = -x^4 - 3x^3 + 6x^2 + 8x have?
Part B
What are the zeroes of the above polynomial function?
A. -4,0,2,3
B. 0, 2 only
C. -4,-1, 0, 2
D. -4, 2 only
Answer:
Part A: There are 4 zeros of the polynomial function f(x)
Part B: The zeroes of the polynomial function f(x) are -4, -1, 0, 2 ⇒ C
Step-by-step explanation:
The zeroes of a function are the x-coordinates of the point of intersection between the graph of the function and the x-axis (x-intercepts) which means values of x at y = 0
Part A:
In the given graph
∵ The graph of the function f(x) = -[tex]x^{4}[/tex] - 3x³ + 6x² + 8x intersects the x-axis
at 4 points
→ That means there are 4 values of x have y = 0
∴ The number of zeroes of the function is 4
∴ There are 4 zeros of the polynomial function f(x)
Part B:
∵ The graph intersects the x-axis at points (-4, 0), (-1, 0), (0, 0), (2, 0)
→ That means the values of x at y = 0 are -4, -1, 0, 2
∴ f(x) = 0 at x = -4, -1, 0, 2
∴ The zeroes of the polynomial function f(x) are -4, -1, 0, 2
I need help with just the last question! :)
Answer:
the answer is 260
Step-by-step explanation:
Plug 20 in for x in the equation.
If 1 + 2 = 12 then what's 2 + 4?
Answer:
2 + 4 = f i s h
Hi the answer is f i s h fish f i s h
Answer:
2+4 is 100 B)
-K
Step-by-step explanation:
A map key shows that a map distance of 1/3 inch represents an actual
distance of 417 mile. Find the actual distance represented by 1inch on the
map,
Answer:
1,251 miles
Step-by-step explanation:
if 1/3 inch is 417 miles then one inch would be 3/3 so
417 x 3= 1,251 miles.
I hope this helps!
10. Madison is 7 less than four times as old as Paige.
how many feet are in one inch
Answer:
1/12 foot
Step-by-step explanation:
Answer:
12 inches
Step-by-step explanation: I misread the question
7. On a map of a local community college, the cafeteria is located at point (-4,3) and the
bookstore is located at point (6,1). What is the distance between the cafeteria and
bookstore rounded to the nearest tenth?
A. 9.8 units
B. 4.5 units
C. 10.2 units
D. 3.5 units
Answer: C. 10.2
Step-by-step explanation: because in decimal form 10.19803902 to the nearest is 10.2
Answer:
C
Step-by-step explanation:
Select the correct answer.
Which point is a solution to the system of inequalities graphed here?
ys 2x + 2
ya -5x + 4
y 710
-10
10
7-10
Answer:D. (5,0)
Step-by-step explanation:
The point which is a solution to the system of inequalities graphed here is (0, 5)
The solution to the system of inequalityFrom the given graph, the solution of the system of inequality is the point where the two lines meet.From the graph, you can see that the x-coordinate of the solution is at x = 0 while the y-coordinate of the solution is at y = 5.Hence the point which is a solution to the system of inequalities graphed here is (0, 5)
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Six coins are tossed. How many TOTAL ways can you get AT LEAST 3 tails?
Answer:32
Step-by-step explanation:
so all you have to do to find all posible combinations is 2 to the 6 power (64
) and devide that by 2 sience each of the "winners" have half tails
1/2
Store A sells 3 t-shirts for $25. Store B sells the same t-shirts: 5 for $40. Which store has the better deal?
Show your work supporting your answer.
Answer:
Store B
Step-by-step explanation:
To figure out which store has the better deal, we need to figure out the price per unit. We can do this by dividing the price by the number of the shirts. Store A sells their t-shirts for 8.33 or 8 1/3 dollars per shirt, while Store B sells their shirts for 8 dollars a shirt. 8 < 8 1/3, therefore Store B has the better deal.
Answer:
B.
Step-by-step explanation:
If you do 3/25=5/x. You would get $41.6. Another way to show it is to divide 25/3 and 40/5, which would give us $8.3 and $8.
Write y - 2 =- 1/3(x + 6) in standard form using integers.
Answer:
x+3y=0
Step-by-step explanation:
The standard form of the given equation is y = -1/3 x +4.
The given equation is y-2 = -1/3(x + 6)
What is the slope intercept form?The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.
The standard form of the slope intercept form is y=mx+c.
Here, the given equation can be rewritten as
y-2 = -1/3 x + 2
y = -1/3 x + 2+2
y = -1/3 x +4
Therefore, the standard form of the given equation is y = -1/3 x +4.
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the sum of two numbers is 9 and their difference is 7
Answer: 8 and 1
Step-by-step explanation:
8+1=9
8-1=7
What is the slope-intercept equation of the line that is perpendicular to y-4=-2/3(x-6) and that passes through (-2, -2)?
Answer:
The slope-intercept equation is:
[tex]y=\frac{3}{2}x+1[/tex]
Step-by-step explanation:
Given the equation
[tex]y-4=-\frac{2}{3}\left(x-6\right)[/tex]
comparing it with the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope
so the slope of the line is -2/3.As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be: 3/2
The point-slope form of the equation of the perpendicular line that goes through (-2, -2) is:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-\left(-2\right)=\frac{3}{2}\left(x-\left(-2\right)\right)[/tex]
[tex]y+2=\frac{3}{2}\left(x+2\right)[/tex]
writing the line equation in the slope-intercept form
[tex]y+2=\frac{3}{2}\left(x+2\right)[/tex]
subtract 2 from both sides
[tex]y+2-2=\frac{3}{2}\left(x+2\right)-2[/tex]
[tex]y=\frac{3}{2}x+1[/tex]
Thus, the slope-intercept equation is:
[tex]y=\frac{3}{2}x+1[/tex]
Here,
As the slope-intercept form is
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept
so
[tex]y=\frac{3}{2}x+1[/tex]
m=3/2
b = y-intercept = 1
Therefore, the slope-intercept equation is:
[tex]y=\frac{3}{2}x+1[/tex]
Select the correct answer.
Juan needs to rewrite this difference as one expression.
31
25
2 – 75 + 10
3 15
First he factored the denominators.
25
(1-2)(: - 5) — 345 - 5)
What step should Juan take next when subtracting these expressions?
OA.
Cancel the factor x from the numerator and the denominator of both fractions.
ОВ.
Subtract the numerators.
Oc. Multiply the second fraction by = 2
Multiply the first fraction by
OD.
Answer:
Option C
Step-by-step explanation:
Difference of the two expressions has been written as,
[tex]\frac{3x}{x^2-7x+10}-\frac{2x}{3(x-5)}[/tex]
To rewrite this expression as one expression,
First he factored the the denominators,
[tex]\frac{3x}{(x-2)(x-5)}-\frac{2x}{3(x-5)}[/tex]
Then Juan will make the denominators of both the terms equal,
For which he will multiply the second expression by [tex]\frac{x-2}{x-2}[/tex].
[tex]\frac{3x}{(x-2)(x-5)}-\frac{2x(x-2)}{3(x-5)(x-2)}[/tex]
Option C will be the correct option.
Answer:
C. Multiply the second fraction
Step-by-step explanation:
Please help out :) struggling
Answer:
82
Step-by-step explanation:
evaluate means to find the numerical value of the expression
substitute x=9 and y= -2 in the expression 10-4xy
10 -4*9*(-2) = 10+( -4 )(-2)*9= 10+8*9 =82
Question 1 of 10
Which of the following best describes the slope of the line below?
O A. Zero
O B. Positive
O C. Negative
O D. Undefined
Answer:
B
Step-by-step explanation:
Find the measure of angle 1
Answer:
∠1 = 116
Step-by-step explanation:
Find the inner angle first, the inner angle will be represented with x, also a triangle is 180 degrees, so:
57 + 59 + x = 180
116 + x = 180
subtract 116 from both sides
x = 64
So now u have the inner angle, and a straight line is also 180 degrees, so:
64 + ∠1 = 180
subtract 64 from both sides
∠1 = 116
20 points !
If a cone has a volume of 47.1 cubic yards and a height of 5 yards, what is the radius of the cone? (Use 3.14 for « )
1.5 yards
1.73 yards
3 yards
4.5 yards
Answer:
3
Step-by-step explanation:
V=πr2h
3
Solving for r
r=3V
πh=3·47.1
π·5≈2.99924
Answer:
3
Step-by-step explaination
A consumer magazine wants to compare the lifetimes of ballpoint pens of three different types. The magazine takes a random sample of pens of each type and conduct an ANOVA test. After the calculation, the F statistic is 1.62 and the p-value is 0.26. What is a correct decision at significance level of 0.1?
Answer: Fail to reject H0
Step-by-step explanation:
Given that:
P value = 0.26
α = 0.1
The values of both p and α can be compared in other to make a decision on whether to reject or fail to reject the Null hypothesis
Decisions :
If the p value > α (fail to reject null)
If p value < α ( Reject null)
In the scenario above :
0.26 > 0.1 ; p value > α
Since the p value is greater than alpha ; we fail to reject the Null
Is the slope-intercept form and standard form of the same line equivalent?
Answer:
Linear equations can take several forms, such as the point-slope formula, the slope-intercept formula, and the standard form of a linear equation. These forms allow mathematicians to describe the exact same line in different ways.
hope this helps
pls help with find the value of x
Answer:
x : 5
Step-by-step explanation:
I hope this is right! Good luck!
Order these three values from least to greatest. Explain or show your reasoning.
65% of 80 82% of 50 170% of 30
The correct answer is 82% of 50 (41) / 170% of 30 (51) /65% of 80 (52)
Explanation:
The first step to know whether a value is greater than another is to find the value each percentage represents depending on the total. This process is shown below.
1. 65% of 80- This implies 80 is 100% and 85% needs to be found. Use the following formula:
80 / 100 = 0.8 x 65 = 52 or the total number divided by 100 and multiplied by the percentage you want to know
2. 82% of 50 - Repeat the same process
50 / 100 = 0.5 x 82 = 41
3. 170% of 30
30 / 100 = 0.3 x 170 = 51
4. Finally organize the values
82% of 50 (41)
170% of 30 (51)
65% of 80 (52)
Based on the information given about the percentages ,the ordering will be 82% of 50, 170% of 30, and 65% of 80.
Percentages.It should be noted that 82% of 50 will be:
= 82% × 50
= 41
170% of 30 will be:
= 1.7 × 30
= 51
65% of 80 will be:
= 65% × 80
= 0.65 × 80
= 52
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what is -4x +1 > 9? QUICK QUICK QUICK
Answer:
x = -4
Step-by-step explanation:
-4x + 1 > 9
-4 * -4 + 1 = 13
13 > 9
Im stumped and timed.
Hi I know its a lot of rate of change I just don't understand
Answer:
[tex]m=4[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula (Rate of Change): [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (0, 0)
Point (1, 4)
Step 2: Find slope m
Substitute: [tex]m=\frac{4-0}{1-0}[/tex]Subtract: [tex]m=\frac{4}{1}[/tex]Divide: [tex]m=4[/tex]I NEED HELP QUICK. GIVING BRAINLIEST TO QUICKEST CORRECT ANSWER.
The __________ states that the firing rate of neurons in the auditory nerve matches the frequency of the sound wave.
A. frequency theory
B. place theory
C. volley principle
D. auditory principle
Answer:
C. volley principle
Step-by-step explanation:
If Bill bikes at an average speed of 8
miles per hour, how many hours will
it take him to ride 24 miles?
198 hours
B
32 hours
3 hours
20 hours
Answer: your answer is c
Step-by-step explanation: I did this in 4th grade XD
((help please)). Identify any constraints on the domain.
Every day Isabel swims 10 to 20 laps in a 50-meter pool. She tracks the numbers of laps she swims and how long it takes her to complete the laps, in
minutes
Choose the correct answer below.
O A. The domain consists of all integers greater than or equal to 0.
OB. The domain consists of all integers greater than 0 and less than or equal to 20.
OC. The domain consists of all integers greater than or equal to 0 and less than or equal to 20
D. The domain consists of all integers greater than or equal to 10 and less than or equal to 20.
E. The domain consists of all integers less than or equal to 20.
Answer: D
Step-by-step explanation: trust me
All integers higher than or equal to 10 and less than or equal to 20 are included in the domain.
What is meant by domain?The set of all potential inputs for a function is its domain. The domain of a function is the collection of all possible values that can be used as inputs, or alternatively, it is the full range of possible values for independent variables.
The set of all values that can be plugged into a function while ensuring that it exists and accepts a real number as a value is known as the domain of the function.
The range of values that we exists allotted to enter into our function is comprehended as the domain of a function. The x values for a function like f make up this set (x).
Therefore, the correct answer is option D. The domain consists of all integers greater than or equal to 10 and less than or equal to 20.
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