Answer:
Step-by-step explanation:
Givens
These are the givens for the second line. The second line also has m (same value) as the x coordinate of one of the points. I'm not sure why you are given the first line.
x1 = - 1
x2 = m
y1 = - 2
y2 = 10
Second line formula for m
m = (y2 - y1) / (x2 - x1) Substitute values for this equation
Solution
Note that the m you seek is both the slope of the second line, and the x coordinate of one of the points.
m = (10 - - 2) / (m - - 1) Change the double minus, and combine
m = 12 / (m + 1) Multiply both sides by (m + 1)
m(m+1) = 12 Remove the brackets
m^2 + m = 12 Subtract 12 from both sides.
m^2 + m - 12 = 0 Factor
(m + 4)(m - 3) = 0
We are told that m >0
So m- 3 = 0
m = 3
Answer
The value for m = 3. The first line also has a slope of 3
help me please- find the equation of line a
Check the picture below.
let's notice something, the equation of line B is in slope-intercept form, thus
[tex]y = 2x + \underset{\stackrel{\uparrow }{b}}{2}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
so using that grid scale, we can just get two points from the line A to get its equation, let's use those in the picture below
[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{0}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{0}-\stackrel{y1}{(-6)}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{(-6)}}}\implies \cfrac{0+6}{6+6}\implies \cfrac{1}{2}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{\cfrac{1}{2}}(x-\stackrel{x_1}{(-6)}) \\\\\\ y+6=\cfrac{1}{2}(x+6)\implies y+6=\cfrac{1}{2}x+3\implies y=\cfrac{1}{2}x-3[/tex]
100 POINTS
A raft was sent away from point A downstream. A patrol-boat left A 5 hour and 20 min later and caught up with the raft 20 km away from point A. What was the speed of the raft if the speed of the patrol-boat was 12 km/hour?
The speed of the raft if the speed of the patrol-boat was 12 km/hour, and it caught the raft in 5 hours 20 min later is 2.857 km/hours.
What is the speed of a body?
The speed of a body is the rate at which it covers the total distance is in the time taken. The speed of the body is given as,
[tex]S=\frac{D}{T}[/tex]
Here, (d) is the distance travelled by the body, and (t) is time taken by the body to cover that distance.
A raft was sent away from point A downstream. A patrol-boat left A 5 hour and 20 min later and caught up with the raft 20 km away from point A.
Total time the patrol boat took in hours is,
[tex]T = 5 + \frac{20}{60}[/tex]
T=5+0.3333
T=5.3333 hours
The speed of the patrol boat is 12 km/hour, and it caught up with the raft 20 km away from point A. Thus, the time taken with this speed to cover 20 km distance is,
[tex]T=\frac{20}{12}[/tex]
T=1.6667 Hours
Thus, the total time is,
T=5.3333+1.6667
T=7 Hours
Now as the raft travel 20 km in 7 hours. Therefore, find the speed of raft by putting the values in above formula as,
[tex]S=\frac{20}{7}[/tex]
S=2.857 kmph
3a^2 X b/c divided by (3ab)^2
Answer: 1/3cb
Step-by-step explanation:
i hope this helps
Answer:
[tex] {Answer \: is \: }\frac{1}{3bc} [/tex]
Step-by-step explanation:
[tex]Divide \: 3 {a}^{2} \times \frac{b}{c} = 3 {ab}^{2} [/tex]
[tex] \frac{3 {a}^{2} \cdot \frac{b}{c}}{{(3ab)}^{2} } \\ \frac{3 {a}^{2}{b }}{{(3ab)}^{2}c} \\ \frac{3 {a}^{2} b}{9 {a}^{2} {b}^{2}c } \\ \frac{\not3 {a}^{2} b}{\not9 {a}^{2} {b}^{2}c } \\ \frac{ {a}^{2} b}{3 {a}^{2} {b}^{2}c } \\ \frac{ \not{a}^{2} b}{3 \not{a}^{2} {b}^{2}c } \\ \frac{\not{b}}{3 \not{b}^{2}c } \\ \frac {1}{3bc}[/tex]
[tex] {Answer \: is \: }\frac{1}{3bc} [/tex]
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In one or two sentences, explain how Archimedes' principle can be used to find out an object's density if you already know its mass
Answer:
The heaviness of displace fluid is equivalent to the buoyant force on a object that is submerged. When you get the mass from this, you may divide it by the volume in order to obtain the measure of the average density of the object.
Step-by-step explanation:
What should we added to -3/20 to get 2 9/20
Answer:
2.60
Step-by-step explanation:
This is a strange way to solve the problem, but it works for me.
1. Convert to decimals
-3/20 = -.15
2- 9/20 = 49/20 = 2.45
2. Solve
2.45 - (-.15)
2.45 + .15 = 2.60
If apples cost $1.08 per pound, how much would 3.8 pounds cost?
Answer:
4.10
Step-by-step explanation:
1.08 * 3.8 = 4.104
but money is 2dp so...
4.10
The circumference of a circle is 14 cm. Find the radius of this circle
Answer:
r ≈ 2.23 cm
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = 2πr ( r is the radius )
given C = 14 , then
2πr = 14 ( divide both sides by 2 )
πr = 7 ( divide both sides by π )
r = [tex]\frac{7}{\pi }[/tex] ≈ 2.23 cm ( to 2 dec. places )
four friends each took different path walking from the lunchroom to the gymnasium
finish the question..............
Answer:
Part 1- Lydia
Step-by-step explanation:
The full question should be
Four friends each took a different path walking from the lunchroom to the gymnasium. The table shows the distance that each of them walked. Who walked the farthest?
!!!40 POINTS AND BRAINLIEST!!!ANSWER IT ONLY IF YOU KNOW THE ANSWER, MAKE SURE TO EXPLAIN!!!!
80 wpm how many words typed while typing 12 hours straight
Answer:
57600 words in 12 hours.
Step-by-step explanation:
80 wpm means 80 words per minute.
We need to know how many minutes are in a 1 hour which is 1 hour is 60 minutes.
We want to know how much words in 12 hours.
Given:
[tex]\frac{80 word}{1 min}, \frac{60 min}{1 hour},\frac{12 hour}{1}[/tex]
[tex]\frac{80 word}{1 min} *\frac{60 min}{1 hour} *\frac{12 hour}{1} =[/tex] 57600 words in 12 hours.
Answer: 57,600
Step-by-step explanation:
80 × 60 = 4800 in 1hr
4800 ×12 = 57, 600 in 12hrs
Describe the difference between the value of x in a binomial distribution and in a geometric distribution.
Answer:
See below
Step-by-step explanation:
A binomial distribution has the value of x representing the number of successes in n trials, while a geometric distribution has the value of x representing the first trial that results in a success.
2.5 divided by 1.5 round to the nearest tenth
Answer:
1.7
Step-by-step explanation:
Answer:
Step-by-step explanation:
1.5/2.5=15/25=0.6 no rounding necessary
the mp of a radio is 20 percent more than its cp. the radio is sold to make the profit of 10 z. If the profit is Rs 80 , what is the mp?
Answer:
M.P. = [(100 + Gain%)/(100 – Discount%)] × C.P.
Quickly before the timer runs out
Answer:
47°
Step-by-step explanation:
sum of angles in triangle=180
x + 90 + 43 = 180
x = 180 - 90 - 43
= 47
Hope it helps:)
Of the 30 students in the sixth period math class, 8 are also in the same fourth period science class. Which can be
used to determine the probability that if three students are chosen at random from the math class to do a group
project, the first student chosen to be in the group is in the fourth period science class but the other two are not?
a [8/30][22/29][21/28
b [8/30][8/30][8/30]
c [8/30][7/29][6/28]
d [8/30][22/30][21/30]
Answer:
I think the answer is b sorry if the answer is wrong
What is the equation of the following line? Be sure to scroll down first to see all answer options.
Answer: D
Step-by-step explanation:
Using the two point slope form with points (0, 0) and (4, -3):
[tex]\frac{y-0}{x-0}=\frac{4-0}{-3-(0)}[/tex]
[tex]\begin{aligned}&\frac{y}{x}=\frac{4}{-3} \\&y=-\frac{3}{4} x\end{aligned}[/tex]
Therefore, D is the correct answer
Answer:
D. y=-3/4x
Step-by-step explanation:
because when doing slope, you have to remember that it goes y/x and the fact that this is a negative slope meaning that you count from point (0,0) to (4,-3), and the lines on the graph count by 2's, so you would be counting down 3 (because point (4,-3) is inbetween -2 and -4) and to the right 4. making the answer -3/4, and it is negative because it is a downward facing slope. oh, and the x is there because it is an ever changing variable (ever continuing)
1.(07.01 LC)
What is the value of x in the equation -6 + x = -4? (1 point)
-10
-2
10
In order to find the value of x, we should add 6 to both sides:-
-6+x=-4
x=-4+6
x=2
Hence, the value of x is 2.
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)
[tex]a^{2} +1=6a[/tex] then what is [tex]7 [a^{2}+\frac{1}{a^{2} }[/tex]
will mark brainliest
Answer:
238
Step-by-step explanation:
Given equation: [tex]a^2+1=6a[/tex]
Rearrange so that it is equal to zero:
[tex]\implies a^2-6a+1=0[/tex]
Quadratic formula
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]
Using the quadratic formula to solve the given equation:
[tex]\implies a=\dfrac{-(-6) \pm \sqrt{(-6)^2-4(1)(1)} }{2(1)}[/tex]
[tex]\implies a=\dfrac{6 \pm \sqrt{32}}{2}[/tex]
[tex]\implies a=3 \pm 2\sqrt{2}[/tex]
[tex]\implies a^2=17 \pm 12\sqrt{2}[/tex]
Substituting this into [tex]7\left(a^2+\dfrac{1}{a^2}\right)[/tex]
[tex]\implies 7\left(17 \pm 12\sqrt{2}+\dfrac{1}{17 \pm 12\sqrt{2}}\right)[/tex]
For [tex]17+12\sqrt{2}[/tex]:
[tex]\implies 7\left(17+12\sqrt{2}+\dfrac{1}{17+12\sqrt{2}}\right)[/tex]
[tex]\implies 7\left(\dfrac{(17+12\sqrt{2})^2}{17+12\sqrt{2}}+\dfrac{1}{17+12\sqrt{2}}\right)[/tex]
[tex]\implies 7\left(\dfrac{(17+12\sqrt{2})^2+1}{17+12\sqrt{2}}\right)[/tex]
[tex]\implies 7\left(\dfrac{289+408\sqrt{2}+288+1}{17+12\sqrt{2}}\right)[/tex]
[tex]\implies 7\left(\dfrac{578+408\sqrt{2}}{17+12\sqrt{2}}\right)[/tex]
[tex]\implies 7\left(\dfrac{34(17+12\sqrt{2})}{17+12\sqrt{2}}\right)[/tex]
[tex]\implies 7(34)[/tex]
[tex]\implies 238[/tex]
For [tex]17-12\sqrt{2}[/tex]:
[tex]\implies 7\left(17-12\sqrt{2}+\dfrac{1}{17-12\sqrt{2}}\right)[/tex]
[tex]\implies 7\left(\dfrac{(17-12\sqrt{2})^2}{17-12\sqrt{2}}+\dfrac{1}{17-12\sqrt{2}}\right)[/tex]
[tex]\implies 7\left(\dfrac{(17-12\sqrt{2})^2+1}{17-12\sqrt{2}}\right)[/tex]
[tex]\implies 7\left(\dfrac{289-408\sqrt{2}+288+1}{17-12\sqrt{2}}\right)[/tex]
[tex]\implies 7\left(\dfrac{578-408\sqrt{2}}{17-12\sqrt{2}}\right)[/tex]
[tex]\implies 7\left(\dfrac{34(17-12\sqrt{2})}{17-12\sqrt{2}}\right)[/tex]
[tex]\implies 7(34)[/tex]
[tex]\implies 238[/tex]
The blue dot is at what value on the number line? -3 -1
Answer:
+2
Step-by-step explanation:
Tess owns a fudge shop in town. She made 3 pounds of fudge and cut it up into 12 equal-sized squares. Tess sells fudge for $2 per pound. A customer bought 5 squares of fudge. How much money did the customer spend?
the customer spent $13 if it's not 13 it's the closest answer too 13
Answer:
$0.85, or 85 cents.
Step-by-step explanation:
To find this, we first need to find out how much it costs for one square. We know it is $2 per pound, and there are twelve squares in each pound. So to find out how much one square costs, we need to divide $2 by 12. We get an answer that is never-ending when we solve this, so we will round to the hundredths place since we are working with money. What we get as a result is that one square costs $0.17.
Now we multiply the above number by five to find out how much the customer spent. This comes out to be $0.85. In total, the customer spent 85 cents for all five squares of the fudge.
How do I find the surface area of of rectangle
Select the correct answer.
Which statement is always true?
A.
A cross section parallel to the base of a right rectangular prism is a square.
B.
A cross section perpendicular to the base of a right rectangular prism is congruent to the base.
C.
A cross section parallel to the base of a right rectangular prism is congruent to the base.
D.
A cross section perpendicular to the base of a right rectangular prism has the same dimensions as the base.
Answer: C. A cross section parallel to the base of a right rectangular prism is congruent to the base.
Step-by-step explanation: Cross sections that are parallel to the base will give the shape of the base. That means that when you do a cross section that's parallel to the base, you're making a horizontal line that goes left to right that is the same as the base. Therefore, C is your answer.
Let me know if this is right! :)
Two people meet in the conference room on the fourth floor of a building. On departure, one person travels West
24 feet, South 18 feet, and Down 18 feet. The other person travels North 24 feet, East 12 feet, and Up 18 feet.
How far apart are the two people? Round to the nearest tenth.
Answer:
36*(5)^0.5
Step-by-step explanation:
distance on horizontal 36 feet
distance on vertical 78 feet
so distance between them = (36^2+78^2)^0.5 = 36*(5)^0.5
The two people are 66 feet apart from each other.
How to elaborate the problem ?
The 1st person travels 24 feet west, 18 feet south and 18 feet down.
The location of 1st person is (-24, -18, -18) , the negative sign is to convert all in same direction.
The 2nd person travels 12 feet east, 24 feet north and 12 feet up.
The location of 2nd person is (12, 24, 18)
How to find the distance between them ?The distance between (-24, -18, -18) & (12, 24, 18 = [tex]\sqrt{(-24-12)^{2}+(-18-24)^{2}+(-18-18)^{2} }[/tex] feet
= [tex]\sqrt{(-36)^{2}+(-42)^{2}+(-36)^{2} }[/tex]) feet
= 66 feet
Learn more about direction problem here :
https://brainly.com/question/27256951
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Researchers are studying two different designs of computer keyboards, J and K, to investigate the effectiveness of the design on the speed of data entry. The researchers believe there is a tendency for people entering data with keyboard J to have faster entry times compared with people entering data with keyboard K. Using the same set of data for entry, the researchers randomly assigned 5 people to keyboard J and 6 people to keyboard K and recorded the number of seconds each person took to enter the data.
The following dotplots show the observed entry times for the two keyboards.
Keyboard J - 160 180 280 300 200 220 240 260 Entry Time (seconds)
Keyboard K + 160 + 180 280 300 200 220 240 260 Entry Time (seconds)
Explain why it is not appropriate to conduct a two-sample t-test for the difference in population means.
It is not appropriate to conduct a two-sample t-test because there exists an outlier in both variables.
What is a two-sample t-test?
The two-sample t-test is used to determine if two population means are equal. The purpose of the test is to determine whether the difference between these two populations is statistically significant.
In this case, it is not appropriate to conduct a two-sample t-test because there exists an outlier in both variables. Therefore, it might be more appropriate to compare population medians instead of population means.
Learn more about t-test on:
https://brainly.com/question/6589776
Please help me with this!
Answer: Solve this problem using the angle bisector theorem. This theorem states that when given a triangle with an angle bisector (line that cuts one of the angles in half, into two of the same angles), that angle bisector divides the opposite side into two segment proportional to the sides of the triangle
A circle is drawn to represent a pizza with a 12
inch diameter. The circle is cut into eight
congruent pieces. What is the length of the outer
edge of any one piece of this circle?
Answer:
Step-by-step explanation:
diameter/2 = radius
12/2 = radius
radius = 6
The outer edge means you are measuring the circumference of the pizza.
Circumference = 2(pi)(radius)
Circumference = 2(pi)(6)
You are only finding 1/8 of the circumference
Therefore you are multiplying the circumference by 1/8
Length of 1 slice = (1/8)((2)(pi)(6)) = (12/8)(pi) = (3/2)(pi) = (3(pi)) / (2) or 4.71 inches
The length of the outer edge of any one piece of this circle will be 4.71 inches.
What is the arc length of the sector?Let r is the radius of the sector and θ be the angle subtends by the sector at the center. Then the arc length of the sector of the circle will be
Arc = (θ/360°) 2πr
A circle is drawn to represent a pizza with a 12-inch diameter. The circle is cut into eight congruent pieces. Then the central angle of each sector will be given as,
θ = 360° / 8
θ = 45°
And the radius is given as,
r = 12/2
r = 6 inches
Then the length of the outer edge of any one piece of this circle will be
Arc = (θ/360°) 2πr
Arc = (45/360°) 2π x 6
Arc = 1/4 x 3.14 x 6
Arc = 4.71 inches
The length of the outer edge of any one piece of this circle will be 4.71 inches.
More about the arc length of the sector link is given below.
https://brainly.com/question/15955580
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What is 2118910 +6221801
it's simple addition
:- 2118910 +6221801
:- 8340711
Hope it help ~
#MsHacker...
Answer:
8340711
Step-by-step explanation:
Round 2,034,627,105 to the nearest ten thousand.
Answer:
2,034,630,000
Step-by-step explanation:
2 is in the ten thousand place which means you look to the right which is a 7 which means to round up to get 2,034,630,000
Which expressions are polynomials?
Select each correct answer.
Answer:
b and d option are correct
Answer:
B, D
Step-by-step explanation:
B, D
x cannot be in a root. (A)
x cannot be in the denominator. (C)
How much closer is it to travel from Aurora to Clifton directly than from Aurora to Clifton through Burlington?
Answer:
40m
Step-by-step explanation:
The total distance from Aurora to Clifton through Burlington is: 65 + 72 = 137
137 - 97 = 40
So it is 40 m closer to travel from Aurora to Clifton directly than from Aurora to Clifton through Burlington.