Answers
.. 5x -2y = 5(-2) -2(3) = -16
Then solve for y.
.. 2y = 5x +16 . . . add 2y+16; then divide by 2 for the next equation
.. y = (5/2)x +8 . . . . . . . corresponds to selection (B)
[tex]\bf 5x-2y=-12\implies 5x+12=2y\implies \cfrac{5x+12}{2}=y \\\\\\ \cfrac{5x}{2}+\cfrac{12}{2}=y\implies \stackrel{slope}{\cfrac{5}{2}}x+6=y[/tex]
so, notice, from the slope-intercept form, it happens that the slope is 5/2, well, the line will have the same slope.
so we're looking for the equation of a line whose slope is 5/2 and runs through -2,3
[tex]\bf \begin{array}{ccccccccc} &&x_1&&y_1\\ &&(~ -2 &,& 3~) \end{array} \\\\\\ % slope = m slope = m\implies \cfrac{5}{2} \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-3=\cfrac{5}{2}[x-(-2)] \\\\\\ y-3=\cfrac{5}{2}(x+2)\implies y-3=\cfrac{5}{2}x+5\implies y=\cfrac{5}{2}x+8[/tex]
Related Questions
1. Given the equation (x – 3)2 – 32 = 17 a)
a) Solve the equation using the square root property to find the solutions. Show your work and round your final answer to the nearest tenth.
b) Explain why the given equation has two solutions.
Answers
The square root property is one method that is used to find the solutions to a quadratic equation. This method involves taking the square roots of both sides of the equation.
(x – 3)² – 32 = 17-------> (x – 3)² = 17+32-----------> (x – 3)² = 49
(x – 3)² = 7²--------> will take the square root of each side
so
√(x – 3)²=(+-)√7²------> notice the use of the sign (+-), this will give us both a positive and a negative root
then
x-3=7--------> x=10
x-3=-7-------> x=-4
the answer Part a) is
x=10
x=-4
Part b) Explain why the given equation has two solutions.
the answer part b) is
Because exist the possibility of two roots for every square root, one positive and one negative
What does it mean to say that the confidence interval methods of this section are robust against departures from normality?
Answers
URGENT PLEASE HELP WILL GIVE BRAINLIEST!!!
This figure shows circle A with inscribed ∠RSQ .
m∠RSQ=24°
What is the measure of RSQ?
Enter your answer in the box.
Answers
Arc RSQ is 312 degrees.
Since you know angle RSQ, the arc that it creates is twice the angle.
24 x 2 = 48
Arc RSQ is the entire circle (360 degrees) except for that 48 degrees.
360 - 48 = 312
Answer:
312
Step-by-step explanation:
The other answer has a great explanation. I am just confirming this answer to be correct! :)
A line passes through the points (1, 4) and (3, –4). Which is the equation of the line?y=-4x+8, y = –2x + 6, y=-1/4x+2, y = 2x + 2
Answers
m=(y2-y1)/(x2-x1)
m=(-4-4)/(3-1)
m=-4
First one is correct because the m value match my answer.
y = -4x+8 thats the answer
What are the zeros of the polynomial function?
f(x)=x^2−16x+48
Enter your answers in the boxes.
The zeros of f(x) are ( ) and ( ).
Answers
the zeros are 12 and 4
Final answer:
The zeros of the polynomial function f(x) are (12) and (4).
Explanation:
The zeros of the polynomial function f(x) = [tex]x^2[/tex] - 16x + 48 can be found by factoring the quadratic equation or using the quadratic formula. To factor, we look for two numbers that multiply to give the constant term (48) and add to give the coefficient of the middle term (-16). After finding such numbers, the polynomial can be factored into two binomials.
In this case, the two numbers are -12 and -4 because (-12) * (-4) = 48 and (-12) + (-4) = -16. Therefore, the factored form of the polynomial is (x - 12)(x - 4).
To find the zeros, we set each factor equal to zero:
x - 12 = 0 ⇒ x = 12
x - 4 = 0 ⇒ x = 4
Hence, the zeros of the polynomial function f(x) are (12) and (4).
Which of the following equations is an example of inverse variation between variables x and y ?
A.) y=15x
B.) y= x-15
C.) y=15/x
D.) y=x/15
Help Please! Will give medal and fan!,
Answers
To determine whether voters would be willing to vote for a tax increase to improve the city's parks, the park commission surveys 500 park users. Why is this sample likely to be biased?
A. Park users are more likely to be willing to pay more to improve parks.
B. Park users are too busy to be bothered with surveys.
C. There are not enough people in the sample.
D. The entire population of the city was not surveyed.
Answers
Answer: The answer is A
Step-by-step explanation: Think about the question and what it is asking about, raising taxes to improve the city's parks, now think about who benefits from the parks. Park users right? Okay, but since tax increase will be put on everyone living in the city, some do not use the park. Is it fair to base the survey question just to park users? No, it's biased to base it on park users only. Of course the park users will be okay improving the parks they use. An unbiased survey would ask a sample of citizens in the city whether it's a good idea to raise taxes to improve the city parks. It's not just the park user whose taxes will be raised for the improvements.
Answer:
The answer A park user are most likely to be willing to pay more to improve parks.
Step-by-step explanation:
I did the test and it was right hope this helps
Please help rewarding 30 points to brainliest
Answers
[tex] \frac{AC}{BC} = \frac{DF}{EF} [/tex]
[tex] \frac{12}{6} = \frac{r}{8} [/tex]
6r = 96
r = 16
The value of r is 16
Combine and simplify these radicals.
radical 8 * 20
i will make brainliest
Answers
√8×20
=√8×√20
=√(2×4)×√(4×5)
=2√2×2√5
=4√10
Answer: 4√10
Answer:
[tex]\sqrt{8 *20}[/tex] = 4 [tex]\sqrt{10}[/tex].
Step-by-step explanation:
Given : [tex]\sqrt{8 *20}[/tex].
To find : Combine and simplify these radicals.
Solution : We have given that [tex]\sqrt{8 *20}[/tex].
We can write 8 as 4 *2 and 20 as 4 *5
Then ,
[tex]\sqrt{8 *20}[/tex] = [tex]\sqrt{(4 *2 )*(4 * 5)}[/tex].
[tex]\sqrt{8 *20}[/tex] = [tex]\sqrt{4 *2}\ *\sqrt{4 *5}[/tex].
[tex]\sqrt{8 *20}[/tex] = 2 [tex]\sqrt{2}\ *2\sqrt{5}[/tex].
[tex]\sqrt{8 *20}[/tex] = 4 [tex]\sqrt{2 *5}[/tex].
[tex]\sqrt{8 *20}[/tex] = 4 [tex]\sqrt{10}[/tex].
Therefore, [tex]\sqrt{8 *20}[/tex] = 4 [tex]\sqrt{10}[/tex].
Roger has a nail that is 12 centimeters long. He measures and records the length of the nail as 15 centimeters. What is thepercent error in Roger's measurement?
Answers
3/12 = 0.25
0.25 = 25% error
SOMEONE HELP ASAPPPPPPP!!! PLEASE
1. A person at ground level measures the angle of elevation to the top of a building to be 74°. If at this point the person is 34 feet away from the base of the building, then how tall is the building? Please round to the tenths place. Please show work/steps and provide units with your answer.
2. In right triangle PQR, P and Q are complementary angles. The value of sin Q is 9/ . What is the value of cos P?
A.9/41
B.41/9
C.40/41
D/41/40
Answers
Specifically, [tex]tan74= \frac{h}{34} [/tex]
[tex]h=(34)(tan74)[/tex]<span class="_wysihtml5-temp-placeholder"></span>
[tex]h=118.6[/tex] feet.
Please be sure your calculator is set to degrees (not radians) when you do this problem.
(2) Here since P & Q are complimentary it means that their sum is 90 degrees. Since this is a right triangle that means that the remaining angle (R) must be the right angle. See below for a diagram.
sin = opp/hyp. As the sin Q = 9/41 this means that 9 is the length of the side opposite Q (the side PR) and 41 is the length of the hypotenuse. This makes the remaining side (QR) 40 in length.
cos = adj/hyp. If we focus on angle P the side adjacent (next to) is 9 and the hypotenuse is 41. Thus the cos of P = 9/41.
You could have also realized that if P & Q are complimentary the sin P = cos Q and the cos P = sin Q. We were not asked about tangent but it is also the case that tan P = cot Q and cot P = tan Q.
Which of the following expressions shows the number of 8 character passwords that can be formed using letters and digits if the password must begin with a letter?
Answers
You may also see it written as 26 x (36)^7
To understand this expression, you must first know that they are 26 letters and 10 digits (1 through 9 and zero).
Now, to find the total number of possibilities, you simply multiply all of the options for each position in the password.
First, we must have a letter, so there are 26 options. Then, for the remaining 7 places, there are 36 options (26 letters and 10 digits).
The expression is 26x36 to the 7th power if the number of 8-character passwords.
What is permutation and combination?A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
It is given that:
The number of 8-character passwords that can be formed using letters and digits if the password must begin with a letter.
From the condition given:
= 26 x (36)⁶
Thus, the expression is 26x36 to the 7th power if the number of 8-character passwords.
a. 21x36 to the 7th power
b.26x36 to the 7th power
c.26 to the 5th power x 10 to the 3rd
d.36 to the 8th power
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The distance formula can be used to prove a triangle has (5 points)
Select one:
a. congruent sides
b. a right angle
c. parallel sides
d. congruent angles,
Answers
F(x)=−2x3+4x2+3x−3 find the average slope of this function on the interval (26). by the mean value theorem, we know there exists a c in the open interval (26) such that f(c) is equal to this mean slope. find the value of c in the interval which works
Answers
4-2=2×3=6+4=10×2=20+3=23×3=69-3=66
c
A large suburb currently uses square signs to notify drivers of nearby bike lanes. In order to increase the visibility of these signs, the mayor wants to increase their dimensions. The new signs will be 12 inches longer and 8 inches taller than the current signs. Suppose x represents the side measure of the current signs, in inches. Determine the equation that represents the area, y, in square inches, of the new signs.
Answers
Length of new sign will be 12 inches longer. So the length of new sign = (x+12) inches
Width of new sign will be 8 inches longer. So the width of new sign= (x+8) inches
Since the length and width of new sign are different, its shape will be rectangular. The area of a rectangle is the product of its length and width.
So the area of new shape will be:
y = (x+12)(x+8) square inches
Answer:
[tex]AREA = x^{2} +20\cdot x + 96[/tex] square inches
Step-by-step explanation:
If dimension of signs are increased then new sides will be x+8 and x+12
It will change fom square into a rectangle So, its area will be given by :
AREA (y) = (x+8)(x+12)
[tex]AREA = x^{2} +20\cdot x + 96[/tex] square inches
Trevor pays $125 in fees each semester plus $650 per college course.
Last semester Trevor paid $2,725.
Which function represents Trevor’s bill?
A.f(x) = 125x + 650
B.f(x) = 650x + 125
C.f(x) = 775x
D.f(x) = 525x
Answers
This is an example of an equation in slope-intercept form, y = mx + b.
The slope, m, is the amount of increase each course, or 650.
The y-intercept, b, is the starting fees that are paid.
Put them together and you have: y = 650x + 125 of Choice B.
Given cos x =12/13 And sin x = 5/13
what is ratio for tan x? (Explain how you got your answer)
Answers
tan = (5/13)/(12/13) = 5/13 * 13/12 = 5/12
(0.4k3 – 2.5k) – (2.4k3 + 3k2 – 1.2k) =
–2.8k3 – 3k2 – 3.7k
–2.8k3 + 3k2 – 1.3k
–2k3 – 3k2 – 1.3k
–2k3 + 3k2 – 3.7k
Answers
The correct answer is
[tex]- 2{k}^{3} - 3 {k}^{2} - 1.3k[/tex]
EXPLANATION
The given expression is
[tex](0.4 {k}^{3} - 2.5k) - (2.4 {k}^{3} + 3 {k}^{2} - 1.2k)[/tex]
We expand the brackets to obtain,
[tex]0.4 {k}^{3} - 2.5k- 2.4 {k}^{3} - 3 {k}^{2} + 1.2k[/tex]
We now group like terms to obtain,
[tex]0.4 {k}^{3} - 2.4 {k}^{3} - 3 {k}^{2} + 1.2k- 2.5k[/tex]
We simplify further to get,
[tex]- 2.0 {k}^{3} - 3 {k}^{2} - 1.3k[/tex]
This is the same as,
[tex]- 2{k}^{3} - 3 {k}^{2} - 1.3k[/tex]
Therefore the correct answer is option C.
One side of a right triangle is 2 cm shorter than the hypotenuse and 7 cm longer than the third side. find the lengths of the sides of the triangle.
Answers
If the hypotenuse - H
Then one side is - H - 2
Third side is 7 cm shorter then H-2
Therefore it’s H -2-7 = H -9
According to Pythagoras theorem
Square of hypotenuse = sum of the squares of the other 2 sides
H² = (H-9)² + (H-2)²
H² = H² -18H + 81 + H² -4H + 4
0 =H² -22H +85
This is a quadratic equation
0 = H² - 17H -5H +85
0 = H (H - 17) -5(H-17)
(H-17) (H-5) =0
H -17=0 or H-5=0
H could be 17 cm or 5 cm
If H =5 cm then
Side 1 -H-2 = 3 cm
And side 2 - H-9 = -4 cm
Since lengths cannot be negative values
H isn’t 5 cm
Therefore H =17 cm
1 side is H-2 = 15 cm
2nd side H -9 = 8 cm
Three sides are 17 cm, 15 cm and 8 cm
The sides will be 17, 15, and 8.
TriangleIt is a polygon of three sides and the sum of the internal angle of a triangle is 180 degrees.
Given
One side of a right triangle is 2 cm shorter than the hypotenuse
And 7 cm longer than the third side.
To findThe lengths of the sides of the triangle.
How do find the lengths of the sides of the triangle?Let the hypotenuse is H
Then the One side of a right triangle is 2 cm shorter than the hypotenuse which means H - 2
And another side is 7 cm longer than the third side which means H -2 -7 that becomes H - 9
Then according to Pythagoras theorem
[tex]\rm H^{2} = P^{2} +B^{2}[/tex]
Then
[tex]\begin{aligned} \rm H^{2} &= (H-2)^{2} +(H-9)^{2}\\\rm H^{2} &= H^{2} -4H + 4+ H^{2} -18H +81\\ H^{2} -22H + 85 &= 0 \\(H-17)(H-5) &=0\\\end{aligned}[/tex]
Hence the value of H is 17 and 5.
5 is neglected because H - 9 is negative.
So the sides will be 17, 15, and 8.
More about the triangle link is given below.
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What is the smallest solution to the equation 3x^2-16=131
Answers
Answer:
x=7
Step-by-step explanation:
3*7*7 = 147
147-16 = 131
so x=7
note x could be -7 also
Find the Value of X. If your answer is not an integer, express it in simplest radical form.
Answers
Side c is the hypotenuse (longest side). So for question 5 it’s 14^2 + 16^2.
What activities can a person participate in to be considered "actively looking" for a job?
Answers
Answer:
The activities can a person participate in to be considered "actively looking" for a job are:
1. He should be active on social media.
2. Updated resume on social median platform like LinkedIn , Indeed, et cetera.
3. Highlight the companies whose vacancy is there in the newspaper and should actively participate in the walking interviews.
To actively look for a job, participate in activities like job searching, networking, resume customization, and submitting applications.
Prepare for interviews, enhance skills, and stay updated with job alerts, social media, and professional organizations.
Engage in informational interviews, volunteer, and consider career workshops for effective job hunting.
To be considered "actively looking" for a job, a person can engage in various activities, including:
Networking: Attend job fairs, industry events, and join professional organizations to expand your network.
Connect with current and former colleagues on LinkedIn.
Online Job Searches: Regularly search job boards, company websites, and online job portals for relevant job openings.
Customizing Resumes and Cover Letters: Tailor your resume and cover letter to match specific job applications, highlighting relevant skills and experience.
Submitting Applications: Actively submit job applications for positions that match your qualifications and career goals.
Interview Preparation: Prepare for interviews by researching companies, practicing common interview questions, and refining your interview skills.
Updating LinkedIn Profile: Maintain an up-to-date LinkedIn profile with a professional photo, relevant skills, and endorsements.
Utilizing Recruitment Agencies: Register with recruitment agencies or headhunters who specialize in your industry.
Skill Enhancement: Enhance your qualifications by taking relevant courses, certifications, or attending workshops.
Volunteer or Intern: Consider unpaid opportunities, internships, or volunteer work to gain experience or maintain skills.
Join Job Search Workshops: Attend workshops or webinars that offer job search strategies, interview tips, and resume building guidance.
Set Up Job Alerts: Subscribe to email notifications or job alert services on job websites to receive updates on new postings.
Informational Interviews: Connect with professionals in your desired field for informational interviews to learn more about potential job opportunities.
Utilize Social Media: Follow companies of interest on social media platforms for job postings and engage in professional discussions.
Job Search Apps: Use mobile apps designed for job seekers to search and apply for jobs on the go.
Utilize Career Centers: If you're a student or alumni, use your school's career center resources for job search assistance.
Attend Job Seeker Support Groups: Join local job seeker support groups or online forums for job search advice and emotional support.
Cold Outreach: Reach out directly to companies of interest, even if they don't have posted job openings, to express your interest and inquire about potential opportunities.
Being actively engaged in multiple aspects of job searching demonstrates commitment and increases your chances of finding a suitable position.
Remember to track your job search activities for reference and follow up on applications and networking connections.
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PLEASE HELP ME ON THIS!!!!!!!!!!
~BRAINLIEST AVAILABLE
THX
Answers
Hope this helps!
[tex]f(n) = 6n+b[/tex]
b has to be a number that satisfies every value. If we plug in 1 for n, then right now we will be left with:
[tex]18 = 6(1) + b[/tex]
Solving for b, we get:
[tex]b = 12[/tex]
We have our final explicit function in terms of n (your answer):
[tex]f(n) = 6n + 12[/tex]
Or, you can write this as:
[tex]f(n) = 6(n+2)[/tex]
Write four irrational numbers between 0.1 and 0.2.Pls explain me.,
Answers
Decimals do not follow any pattern, and no fraction can be written.
The following are four examples of irrational numbers:
0.1339887498948482
0.1807568877293527
0.1743710661995479
0.1238462643383279
What is the length of AB? Enter your answer In the box, round only your final answer to the nearest tenth.
Answers
Angle B = 79°
Side a = 12
AB = side b
Use the Law of Cosines to find the length of side b.
b^2 = a^2 + c^2 − 2ac cos(B)
b^2 = (122 + 182) − ( 2 x 12 x 18) cos(79°)
b^2 = (144 + 324) − 432 x 0.191
b^2 = 468 - 432 x 0.191
b^2 = 468 - 82.429
b^2 = 385.571
b = √385.571
b = 19.636
Rounded to the nearest tenth is 19.6 cm.
Hope this helps!
Does anybody have a proper answer?
Answers
x=18
Radius=√(7²+9²)=√130
(2*√130)²=x²+14²==>x²=√324=18
What is the value of G? Round only your answer to the nearest tenth.
Answers
[tex] \frac{ \sin(a) }{a} = \frac{ \sin(b) }{b} = \frac{ \sin(c) }{c} [/tex]
therefore we can evaluate our knowns:
<G =74° with side unknown g
<H=58° with side 54
so we can set up the proportion
[tex] \frac{ \sin(74) }{g} = \frac{ \sin(58) }{54} [/tex]
then cross multiply and get the value of g
[tex]g \times \sin(58) = 54 \times \sin(74) [/tex]
therefore we get the value of g as
[tex]61.2 \: yards[/tex]
Can anyone help me how to solve this?
Answers
2) 2^3 * 2^7 = 2^10
3)7^2*7^6 = 7^8
hope it helps
then for [tex] 7^{2}*7^{6}=7^{6+2}=7^{8}[/tex] then a =8 in here
and also [tex] 3^{6}*3^{5}=3^{6+5}=3^{11}[/tex] then a =11 in this example
for [tex]2^{3}*2^{7}=2^{3+7}=2^{10}[/tex] then a=10 in here
PLEASE HELP ASSSAAAAPPPPP
Answers
Answer A)
A photograph measures 12 inches wide by 20 inches long. If the picture is reduced so that the length is 8 inches. What is the new width?
Answers
0.4×12=4.8
The width is 4.8 inches
To find the new width of a photograph after reducing its length to 8 inches, while maintaining the original aspect ratio, set up a proportion based on the original dimensions and solve for the new width, which results in 4.8 inches.
The question involves a proportional reduction of a photograph's dimensions. To determine the new width, we need to maintain the same ratio between the width and the length as in the original photograph. Initially, the photograph measures 12 inches wide by 20 inches long. If reduced so that the length is 8 inches, the width will also reduce in the same ratio.
Let's denote the new width as w. The original ratio is 12/20, which should be equal to the new ratio w/8.
Now, creating a proportion, we have:
12/20 = w/8
By cross-multiplying, we get:
20 × w = 12 × 8
w = (12 × 8) / 20
w = 96 / 20
w = 4.8
Therefore, the new width of the photograph is 4.8 inches.