A line passes through the point (–7, 5) and has a slope of 1/2. Which is another point that the line passes through?
(–13, 9)
(–9, 13)
(9, 13)
(13, 9)
Answers
_____
The change in x for the offered points is -6, -2, 16, 20, so the slope of 1/2 will make the change in y be -3, -1, 8, 10. When added to 5, these values are 2, 4, 13, 15. Only 13 matches the second coordinate of the given answer, so only (9, 13) will be a point on the line.
Answer:
Option C is correct.
Another point is, (9, 13)
Step-by-step explanation:
Point slope form states the equation of a straight line in the form [tex]y-y_1=m(x-x_1)[/tex]; ......[1]
where
m is the slope of the line and
[tex](x_1, y_1)[/tex] are the coordinates of a given point on the line.
As per the given condition we have;
[tex](x_1, y_1)[/tex] = (-7, 5)
Slope(m) = 1/2
then; substitute these in [1] we have;
[tex]y -5 = \frac{1}{2}(x-(-7))[/tex]
or
[tex]y -5 = \frac{1}{2}(x+7)[/tex]
Using distributive property; [tex]a\cdot(b+c) = a\cdot b + a\cdot c[/tex]
[tex]y-5= \frac{1}{2}x+\frac{7}{2}[/tex]
Add 5 on both sides we get;
[tex]y=\frac{1}{2}x+\frac{7}{2} + 5[/tex]
Simplify:
[tex]y= \frac{1}{2}x+\frac{17}{2}[/tex]
Only option which satisfy the above line equation is (9, 13).
Check:
put x = 9 and y = 13
[tex]13= \frac{1}{2}(9)+\frac{17}{2}[/tex]
[tex]13=\frac{9}{2}+\frac{17}{2} =\frac{26}{2} = 13[/tex] True.
Therefore, the another point that the line passes through is, (9, 13)
Related Questions
The sum of three consecutive odd integers is − 105 . find the numbers.
Answers
x+(x+2)+(x+2+2)=105
3x+2+2+2=105
3x+6=105
3x=99
x=33
so the answers would be 33, 35 and 37
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How does the availability of credit in a community affect the housing market there?
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Dyann takes a bus to work every day. On Monday the trip took 34 minutes. On Tuesday the trip took 36 minutes. On Wednesday the trip took 35 minutes. On Thursday the trip took 34 minutes. Dyann determines that the trip to work on Friday will take about 35 minutes.
Does her conclusion use inductive, or deductive reasoning?
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Answer:
inductive reasoning
In this question, the conclusion is that the trip to work on Friday will take about 3535 minutes. This conclusion is based on observation of specific examples instead of scientific research.
Therefore, the type of reasoning used is inductive reasoning.
In Mr. Sheldon’s physical education class, each student plays at most 1 sport.
A total of 20 students play soccer or basketball.
Given that 1/3 of the students play soccer, and 8 play basketball, how many students in Mr. Sheldon’s class play neither soccer nor basketball?
I have no idea how to calculate. I will reward the right answer along with explanation of how it was figured. (I attached a pic of the multiple choices) Thanks!
Answers
Given that 1/3 of the students play soccer you can conclude that 1\3 is equal 12 student, then in class totally are 12*3=36 students.
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Answer: Correct choice is B.
PLEASE HELP ME ON THIS
BRAINLIEST AVAILABLE IF YOU ANSWER CORRECTLY
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The ratios are, for Beverly:
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for Lowell
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So obviously Beverly is not exponential and Lowell is.
This circle graph shows the results of a survey that asked people to identify their favorite type of music.
What percent of people chose rock or country as their favorite type of music?
9%
35%
45%
55%
A circle graph with 5 sections. The first section is labeled Rock 27 percent. The second section is labeled Hip Hop 28 percent. The third section is labeled Jazz 19 percent. The fourth section is labeled Country 18 percent. The fifth section is labeled Other 14 percent.
Answers
Country or rock would be found by adding the two percentages:
18+27 = 45.
(Side note: the percentages on this circle graph add up to 106%....)
Answer: C) 45
Hope Thsi Helps ^_^
Compare the numbers in the following sequence and try to determine what the next number should be.
6, 9, 18, 21, 42, 45, ?
Now When i did the math I thought it might be 54 but I'm not sure can someone help me or tell me if I'm right!
Answers
6 + 3 = 9
9 * 2 = 18
18 + 3 = 21
21 * 2 = 42
42 + 3 = 45
45 * 2 = 90
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Thus, the next number after 45 is 90.
Which of the following expression expressions is equivalent to cos3x/sinxcosx?
A.) cscxcos2x-secxsin2x
B.) secxcos2x-cscxsin2x
C.) secxcosx-cscxsinx
D.) cscxcosx-secxsinx
Answers
Answer:
A.) cscxcos2x-secxsin2x
Step-by-step explanation:
I'm sorry I really do not know how to solve this but I just did the quiz and b was not correct.
Final answer:
To find an expression equivalent to cos3x/sinxcosx, we use trigonometric identities and simplification to arrive at cscx - secx. Option D, cscx cosx - secx sinx, when expanded and simplified, is equivalent to cscx - secx, thus it is the correct answer.
Explanation:
The question asks us to find an expression equivalent to cos3x/sinxcosx. To start, let's simplify the given expression using trigonometric identities.
We can write cos3x as cos(2x+x), which by using the angle addition formula for cosine gives us cos(2x+x) = cos2x cosx - sin2x sinx. Now our expression looks like this: (cos2x cosx - sin2x sinx) / (sinx cosx).
The next step is to split the numerator to have two separate fractions: cos2x/sinx - sin2x/cosx. We can then recognize that cos2x/sinx is equivalent to 1/sinx or cscx, and -sin2x/cosx is equivalent to -1/cosx or -secx. Therefore, the equivalent expression is cscx - secx.
Comparing this result to the options given, option D, cscx cosx - secx sinx, expands to 1/sinx × 1 - 1/cosx × sinx, which can be simplified to cscx - secx. Thus, option D is the correct answer.
Please help simple math problem
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When 2 lines intersect, they make vertical angles.
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Vertical angles are opposite one another.Supplementary angles add up to 180º = 40 degrees + 140 degrees = 180 degrees. Adjacent and Supplementary Angles = 120 + 60 = 180 degreesAdjacent angles are “side by side” and share a common ray. 130 degrees and 50 degrees.Complementary angles add up to 90º. = 60 degrees + 30 degrees = 90 degrees.
Pls help.
Solve (6x^3-1x^2+1)/(2 x+1)
a. -3x^2+2x-1
b. 3x^2-2x+1
c. -3x^2+2x-1
d. 3x^2+2x-1,
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What is the least common Multiple of 9 and 10? Use prime factorization to solve.
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......................
Explain why increasing the sample size tends to result in a smaller sampling error when a sample mean is used to estimate a population mean.
A. The above statement is incorrect, the sample size has no effect on the sampling error.
B. The larger the sample size, the more closely the possible values of \bar{x} cluster around the mean of \bar{x}
C. If the sample size is larger, the possible values of \bar{x} are farther from the mean of \bar{x},
Answers
Sampling error is inversely proportional to the sample size which means if the sample size increases the sampling error decreases. Then option B is correct.
What is sampling error?The amount of inaccuracy in the estimating value appears due to the smaller sample size.
The sample size tends to result in a smaller sampling error when a sample mean is used to estimate a population mean.
We know that the formula of the sampling error
[tex]\rm Sampling \ error = z \times \dfrac{\sigma}{\sqrt{n}}[/tex]
Sampling error is inversely proportional to the sample size which means if the sample size increases the sampling error decreases.
More about the sampling error link is given below.
https://brainly.com/question/15375591
PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER
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which value is a solution of the equation 2-8x=-6 ? ( 1point )
A. 1
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Answers
In a 30-60-90 triangle, what is the length of the hypotenuse when the shorter leg is 5 cm?
Enter your answer in the box.
Answers
10cm
Because (The 30-60-90 Triangle Theorem)
In a 30-60-90 triangle, the length of the hypotenuse is TWICE the length of the shorter leg.
Thanks Shellbag101
The length of the hypotenuse is 10cm
SOH CAH TOA identityGiven a 30-60-90 triangle where:
Length of the shorter leg = 5cm (adjacent)
The hypotenuse is what we need.
[tex]cos \theta = \frac{adj}{hyp} \\ [/tex]
Substitute the given parameters
[tex]cos 60 = \frac{5}{h}\\ h =\frac{5}{cos 60}\\ h = \frac{5}{0.5}\\ h = 10cm[/tex]
Hence the length of the hypotenuse is 10cm
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whats the answer to 8n−15=41
Answers
8*7=56
56-15=41
Hope this helped☺☺
+15 +15
8n=56 DIVIDE BY 8
/8 /8
n=7 FINAL ANSWER
The area of a rectangle is 54 m^2 , and the length of the rectangle is 3m more than twice the width. find the dimensions of the rectangle.
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A simple question I can't answer thnks yall
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so the answer would be A
What is the quotient of 78.3 ÷ 3.48?
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Good luck with your work!
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What is the measure in radians for the central angle of a circle whose radius is 6 cm and intercept arc length is 5.4 cm?
Make sure to show all calculations.
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Answer:
6.5
Step-by-step explanation:
1. calculate using the equation
How many triangles exist with the given angle measures? 32°, 51°, 97°
Answers
We need to check if these angles satisfy that condition:
32°+51°+97°=180°
They do satisfy. Now we check if any angle has value that is not possible.
32° and 51° angles are OK.
97° angle is also OK. It is obtuse angle.
For each angle measures exactly one triangle exists. In this example we have an obtuse-angle triangle.
The correct answer is 1.
To determine if a set of three angles can form a triangle, we need to check if the sum of the three angles is equal to 180°. If the sum is 180°, then the angles can form a triangle; otherwise, they cannot form a triangle.
Given angles: 32°, 51°, 97°
we can represent the calculation as follows:
[tex]\text{Sum of the given angles} &= 32^\circ + 51^\circ + 97^\circ&= 180^\circ[/tex]
Since the sum of the three given angles is equal to 180°, these angles can form a triangle.
To determine the number of triangles that exist with these angle measures, we need to consider the permutations of the angles. Since the order of the angles does not matter in a triangle, we have:
[tex]\text{Number of triangles} = \frac{3!}{3} = 1[/tex]
Therefore, there exists only one triangle with the given angle measures of 32°, 51°, and 97°.
Read the word problem. Hershel buys 5 bags of cookies, 3 bags of granola, and several bags of fruit snacks from a bake sale. In total, he buys 10 bags from the bake sale. How many bags of fruit snacks did Hershel buy? Which type of word problem is shown? part-whole comparison multiplication division
Answers
Final answer:
Hershel bought 2 bags of fruit snacks in a part-whole comparison word problem, where the total (10 bags) minus the sum of known parts (5 bags of cookies and 3 bags of granola) equals the unknown part.
Explanation:
The word problem presented asks how many bags of fruit snacks Hershel bought if he bought a total of 10 bags, including 5 bags of cookies and 3 bags of granola. To solve this, we subtract the known quantities from the total: 10 total bags - 5 bags of cookies - 3 bags of granola = 2 bags of fruit snacks.
The type of word problem shown is a part-whole comparison because it involves figuring out a missing part of a whole based on the other known parts.
prove this trigonometric equation;
- tan^2x + sec^2x = 1,
Answers
- tan²x + sec²x = 1 or 1 + tan²x = sec²x
sin²x + cos²x = 1
Divide the whole by cos²x
[tex] \frac{sin^2x}{cos^2x} + \frac{cos^2x}{cos^2x} = \frac{1}{cos^2x} [/tex]
[tex] \frac{sinx}{cosx} = tanx[/tex] so [tex] \frac{sin^2x}{cos^2x} = tan^2x[/tex]
and
[tex] \frac{1}{cosx} = secx [/tex] so [tex] \frac{1}{cos^2x} = sec^2x[/tex]
Therefore,
tan²x + 1 = sec²x
Take tan²x to the other side {You will have the same answer}
1 = - tan²x = sec²x or sec²x - tanx = 1
The areas of two similar octagons are 112 in.² and 63 in.². What is the ratio (larger to smaller) of their perimeters?
16/3
4/9
16/9
4/3,
Answers
For the area:
A1 = (k ^ 2) * A2
For the perimeter
P1 = k * P2
Note: The factor k is the same in both cases
Where,
k = growth factor (k> 1) or reduction (k <1)
Substituting values we have:
12 = (k ^ 2) * 63
Let's clear k:
k = root (112/63)
k = 4/3
Answer:
The ratio (larger to smaller) of their perimeters is:
k = 4/3
k = growth factor (k> 1) or reduction (k <1)
Area1= (k ^ 2) * Area2Perimeter1 = k * Perimeter2
Substitute: 12 = (k ^ 2) * 63 k = sqaure root (112/63) k = 4/3
Solve for x under the assumption that x > 0. Enter your answer in interval notation using grouping symbols.
x−24/x<10,
Answers
The solution for the set would be: x is (0,12).
What is the solution?
To arrive at the solution, we would first move the constant term to the right side as follows;
x - 24/x < 10
x < 10 + 24/x
We then multiply both sides by x to eliminate the fraction:
x² < 10x + 24
Collect all terms to one side;
x² - 10x - 24 < 0
Factorize
(x - 12)(x + 2) < 0
So, x - 12 is positive when x > 12 and negative when x < 12.
x + 2 is positive for all values of x > 0.
make w the subject of the formula y-aw=2w-1
Answers
Solution step by step:
1) given formula: y-aw=2w-1
2) transpose aw and - 1
2w + aw = y + 1
3) common factor w:
w (a + 2) = y + 1
4) divide both sides by (a + 2):
w = [ y + 1] / [a + 2]
To make w the subject of the formula y-aw=2w-1, rearrange the equation as follows: add aw to both sides, factor out w on the right side, add 1 to both sides, and then divide by (a+2). The final equation is w=(y+1)/(a+2).
Explanation:The question is asking to rearrange the given formula y-aw=2w-1 to solve for the variable w. We can follow these steps:
Add aw to both sides of the equation to eliminate it on the left side. This gives us y=aw+2w-1. Factor out w from the right side. This gives us y=w(a+2)-1. Add 1 to both sides of the equation to eliminate it on the right side. This gives us y+1=w(a+2). Divide both sides of the equation by (a+2) to isolate w. This gives us w=(y+1)/(a+2).
Therefore, in the formula y-aw=2w-1, w=(y+1)/(a+2) when solved for w.
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#SPJ3
Please help asap!!! 19 pts
Answers
Which property justifies the following statement? If x=2,and y=3x-11, then y=3•2-11
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ANSWER NOW PLEASE! EXTRA POINTS!
1) Martha is covering this trapezoid-shaped board with fabric. How many square feet of fabric does Martha need?
2) A garden in the shape of a regular hexagon has sides that are each 5 meters long. If the height of each of the congruent triangles within the hexagon is about 4.33 meters,what is the area of the garden?
Answers
2. About 64.95meters or technically 64.95191
hope this helps!! :)