Given:
A line passes through the points (6,-7) and (-6,3).
To find:
The equation of line.
Solution:
If a line passes through two points [tex](x_1,y_1)\text{ and }(x_2,y_2)[/tex], then the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The line passes through the points (6,-7) and (-6,3). So, the equation of line is
[tex]y-(-7)=\dfrac{3-(-7)}{-6-6}(x-6)[/tex]
[tex]y+7=\dfrac{3+7}{-12}(x-6)[/tex]
[tex]y+7=\dfrac{10}{-12}(x-6)[/tex]
[tex]y+7=-\dfrac{5}{6}(x-6)[/tex]
Using distributive property, we get
[tex]y+7=-\dfrac{5}{6}(x)-\dfrac{5}{6}(-6)[/tex]
[tex]y+7=-\dfrac{5}{6}x+5[/tex]
Subtract 7 from both sides.
[tex]y=-\dfrac{5}{6}x+5-7[/tex]
[tex]y=-\dfrac{5}{6}x-2[/tex]
Therefore, the equation of line is [tex]y=-\dfrac{5}{6}x-2[/tex].
Alguien me dice la respuesta
A mini bus can carry 8 students. How many mini buses will be needed to transport 38 students?
Answer:
5 buses
Step-by-step explanation:
you need to divide the number of students (38) by the number of students a mini bus can carry.
38 : 8 = 4.75
since they want to know how many buses will be needed to transport all students, you round 4.75 to 5
hope this helps!
The model shows the expression 21 + 9.
Which expression is equivalent to this sum?
3(7+3)
307) + 3
0 3+7+3
703 + 3)
Answer:
a
Step-by-step explanation:
Please anyone help me
Answer:
-52
Step-by-step explanation:
plug 2 into u(x) which is equal to
2(5) + 1= 5
plug 5 into w(x) which is equal to
-2(5^2) - 2
-2(25) - 2
-50 - 2 = -52
about how many times does a cow's heart beat in 2 minutes
Answer:
The adult cow has a heart rate of between 48 and 84 beats per minute.
Step-by-step explanation:
Answer:
every cow is differnt but the cows heart beats about 48 and 84 times per minute, so about 168.
Step-by-step explanation:
samantha had $299 in her bank account. If she go shopping and spend $348, what will her bank account be.
Answer:
-49
Step-by-step explanation:
You subtract 348 from 299 and you get -49 which means she is in debt
Find the dimensions of the circle. Check your answer,
Area = 36π m^2
Please help!
Answer:
6 i think..
Step-by-step explanation:
HURRY PLEASE!!! I HAVE TO TURN THIS IN SOON!!!
I WILL GIVE YOU BRAINLIEST!!
the directions are on the picture!
i need an explanation on how you solved it too.
Answer: Didn't flip the greater than sign to lesser than.
Step-by-step explanation: When dividing an inequality by a negative the greater than or less than sign switches.
An airplane flying with the wind takes 2 hours to travel a distance of 360 miles.
The return trip takes 3 hours flying against the wind.
What is the speed of the airplane in still air and how fast is the wind blowing?
Answer: still air is 150mph. The wind speed is 30mph.
Step-by-step explanation:
X=speed of the plane, Y=speed of the wind.
360/2hours=180
360/3hours=120
2x=180+120
2x=300
X=150
The airplane in still air is 150mph
Add together
X+y=180
150+y=180
Y=180-150
Y=30mph
The wind speed is 30mph
Helppp needed ( answer quickly)
Answer:
C. 57
Step-by-step explanation:
all triangles add up to 180. the tick marks show that ∠D and ∠ E are congruent so you do this and solve for x:
(4x + 1) + (4x + 1) + (5x - 4) = 180
13x - 2 = 180
13x = 182
x = 182/13
x = 14
4(14) + 1 = 57
I need help please and thanks
Answer:
1.) 3
2.) 11
3.)17
Step-by-step explanation:
you would want to add them up then multiply
Answer:
M<1=55
M<2=55
M<3= 70
Step-by-step explanation:
Angle 1 and 2 are equal
what is sigma notation of 3 + 7 + 11 + 15 + 19
Answer:
Step-by-step explanation:
Given
sigma notation of 3 + 7 + 11 + 15 + 19
Solution
Sigma notation=
Sigma
A triangle has two sides of length 5 and 11. What is the smallest possible whole-number
length for the third side?
The smallest possible whole number length for the third side is 7
Data obtained from the question1st length = 52nd length = 113rd length =?How to determine the smallest possible length of the 3rd sideCase 1
1st + 2nd > 3rd
5 + 11 > 3rd
16 > 3rd
3rd length < 16
Case 2
1st + 3rd > 2nd
5 + 3rd > 11
3rd > 11 - 5
3rd > 6
Thus, we have
6 < 3rd length < 16
Since the 3rd length is greater than 6, then the smallest possible length for the 3rd side is 7
Learn more about sides of triangles:
https://brainly.com/question/17113064
#SPJ1
if the part is 22 and the percent is 44% what is the whole
Answer:
50
Step-by-step explanation:
To find the whole you must write this as an equation.
.44x = 22
isolate x by dividing by .44
22/.44=x
x = 50
Answer: the whole is 50
Step-by-step explanation:
22 44
——- = ———
x. 100
cross multiply.
22x100=2200
2200 divided by 44 = 50
Question 9 of 25
Does this graph show a function? Explain how you know.
Answer:
wheres the graph tho...???????
Answer:
bruh
Step-by-step explanation:
no
Miguel is multiplying 5/8 by 1/2. Use the drop-down menu to complete the statement.
Answer:
5/8 x 1/2 = 0.3125 in decimal form
Step-by-step explanation:
Answer:
less than
Step-by-step explanation:
A piece of fabric costs $5.29 a yard. Which is an estimated cost of 16.3 yards of fabric? $21 $80 $165 $800 Mark this and return
PLEs
Answer: 80
Step-by-step explanation: 16.3×5.29=86.227
Answer:
The answer is B
Step-by-step explanation:
Also 1 ❤️= 1 GOOD LUCK TO EVRY WONE
Help please dhskksbsjsjsbsis
Answer: Here is the pic and so its 8.9 so it would be 9 because your rounding and I hope this helps :D
A 100-inch pipe is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece.
Timmy flies out to Vail. After day one he has a bank account balance of -$2.50. If his debt
increases by $2.50 each day and he spends 5 days out in Vail what is his bank account
balance?
Answer:
$-12.50
Step-by-step explanation:
Take -2.50 and multiply it by 5 to get the answer.
How many of each color ballon will be in each bouquest
plz answer this
Answer:
15
Step-by-step explanation:
In the most recent NBA Finals series, Lebron James took 175 shots and made 80.
In his last NBA Finals series, Michael Jordan took 190 shots and made 85. Who had a better percentage?
Answer:
Michael Jordan
Step-by-step explanation:
190-85 =105
175-80=95
Answer:
Michael Jordan
Step-by-step explanation:
Rachel finished
3
_
4
of the race in 6 hours. How long was the entire race?
Answer:
8 hours
Step-by-step explanation:
Answer:
bjhmiukjgjhkuijkl
Step-by-step explanation:
is 98,376,751 an even or odd number
Answer:
it is an odd number
it could be even if it ended in 0, 2, 4, 6, and 8
Step-by-step explanation:
please give me brainliest
How many cups of potatoes are needed if 1 cup of diced ham is used?
Answer:
i think 7 but i am not 100% sure
Step-by-step explanation:
An insurance company checks police records on 582 accidents selected at random and notes that teenagers were at the wheel in 91 of them. Which is a correct 90% confidence interval for the proportion of all auto accidents that involve teenage drivers
Answer:
The 90% confidence interval is [tex]0.1316 < p < 0.1812[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 582
The number of teenagers at the wheel is k = 91
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{k}{n}[/tex]
=> [tex]\^ p = \frac{91}{582}[/tex]
=> [tex]\^ p = 0.1564[/tex]
From the question we are told the confidence level is 90% , hence the level of significance is
[tex]\alpha = (100 - 90 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]
=> [tex]E = 1.645 * \sqrt{\frac{0.1564 (1- 0.1564)}{582} } [/tex]
=> [tex]E = 0.0248 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\^ p -E < p < \^ p +E[/tex]
=> [tex]0.1564 -0.0248 < p < 0.1564 + 0.0248[/tex]
=> [tex]0.1316 < p < 0.1812[/tex]
can someone please give me a hand with this ?
Answer:
C.) A' (-5,3), B' (-1,3), C' (4,-3)
Step-by-step explanation:
Translation rule: (x, y + 2)
A (-5,-5) -> A' (-5, -5 + 2) -> A' (-5, -3)
B (-1,1) -> B' (-1, 1 + 2) -> B' (-1, 3)
C (4,-5) -> C' (4, -5 + 2) -> C' (4, -3)
Select the three ratios that represent the number of red cars to blue cars
In which of these cases is each stamp worth the most? 7 of the same stamp worth a total of $3.15 8 of the same stamp worth a total of $3.20 10 of the same stamp worth a total of $4.10 16 of the same stamp worth a total of $4.80
Answer:
0.45
Step-by-step explanation:
1. 3.15÷7=0.45
2. 3.20÷8=0.40
3. 4.10÷10=0.41
4. 4.18÷16=0.26
Answer:
c i think sorry if its not good
Step-by-step explanation:
In ΔRST, t = 4.1 inches, r = 7.1 inches and ∠S=45°. Find the length of s, to the nearest 10th of an inch.
Answer:
The length of s is 5.1 inches to the nearest tenth of an inch
Step-by-step explanation:
In Δ RST
∵ t is the opposite side to ∠T
∵ r is the opposite side to ∠R
∵ s is the opposite side to ∠S
→ To find s let us use the cosine rule
∴ s² = t² + r² - 2 × t × r × cos∠S
∵ t = 4.1 inches, r = 7.1 inches, and m∠S = 45°
→ Substitute them in the rule above
∴ s² = (4.1)² + (7.1)² - 2 × 4.1 × 7.1 × cos(45°)
∴ s² = 16.81 + 50.41 - 41.1677568
∴ s² = 26.0522432
→ Take √ for both sides
∴ s = 5.10413981
→ Round it to the nearest tenth
∴ s = 5.1 inches
∴ The length of s is 5.1 inches to the nearest tenth of an inch
Answer:
5.1
Step-by-step explanation:
delta math