what is linear equation of (10,1) (-4,-10)
Answers
Given data:
The first point given is (10, 1).
The second point given is (-4, -10).
The expression for the equation of the line passing through the given points is,
\(\begin{gathered} y-1=\frac{-10-1}{-4-10}(x-10) \\ y-1=\frac{-11}{-14}(x-10) \\ 14y-14=11x-110 \\ 11x-14y-96=0 \end{gathered}\)Thus, the equation of the line passing through the given points is 11x-14y-96=0.
Related Questions
list the angles in order from smallest to largest. show your work.
Answers
Answer:
∠R, ∠P, ∠QStep-by-step explanation:
The greater side has greater angle opposite
Sides in ascending order:
17, 21, 26Angles in ascending order:
∠R, ∠P, ∠QWhat number is 40% of 180?
Answers
Answer:
72
Step-by-step explanation:
You can find ten percent of 180 pretty easily, it is 18 (divide by 10) then multiply by 4 to get 40%.
Answer:
72
Step-by-step explanation:
10% of 180 = 180 ÷ 10 = 18
⇒ 40% = 4 x 10% = 4 x 18 = 72
Or,
convert 40% into a decimal:
40% = 40/100 = 0.4
⇒ 40% of 180 = 0.4 x 180 = 72
A copy machine makes 32 copies per minute. How long does it take to make 184 copies?
Answers
Answer:
5.75 mins
Step-by-step explanation:
184/32=5.75
Will give brainlist!!! Please help
Answers
Answer:
total is (12-4=5(^19 <6>) THIS IS MY ANWER
How do I solve this question
Answers
Answer: \(6/(x-7) +( -5)/(x-5)\)
Step-by-step explanation:
Let
\((x+5)/(x-7)(x-5) = A/(x-7) +B/(x-5)\)
⇒\((x+5)/(x-7)(x-5)=( A(x-5) +B(x-7))/(x-7)(x-5)\)
Comparing both the sides
\((x+5)= A(x-5)+B(x-7)\\x+5=Ax-5A+Bx-7B\\x+5= (A+B)x + (-5A-7B)\\\)
Comparing both sides of the equation we get,
\(A+B= 1\) ....eq(1)
\(-5A-5B=5\) ..... eq(2)
solving eq(1) and eq(2),
we get B=-5 and A=6.
Hence the solution is \(6/(x-7) +( -5)/(x-5)\)
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Answers
Answer:
Step-by-step explanation:
(a) To find the linear cost function C(x), we need to consider the fixed cost and the marginal cost. The fixed cost is $100, and the marginal cost is $8 per pair of earrings.
The linear cost function can be represented as C(x) = mx + b, where m is the slope (marginal cost) and b is the y-intercept (fixed cost).
In this case, the slope (m) is $8, and the y-intercept (b) is $100. Therefore, the linear cost function is:
C(x) = 8x + 100.
(b) The average cost function (AC) can be found by dividing the total cost (C(x)) by the number of units produced (x):
AC(x) = C(x) / x.
Substituting the linear cost function C(x) = 8x + 100, we have:
AC(x) = (8x + 100) / x.
(c) To find C(5), we substitute x = 5 into the linear cost function:
C(5) = 8(5) + 100
= 40 + 100
= 140.
Interpretation: C(5) = 140 means that when the artist produces 5 pairs of earrings, the total cost (including fixed and variable costs) is $140.
(d) To find C(50), we substitute x = 50 into the linear cost function:
C(50) = 8(50) + 100
= 400 + 100
= 500.
Interpretation: C(50) = 500 means that when the artist produces 50 pairs of earrings, the total cost (including fixed and variable costs) is $500.
(e) The horizontal asymptote of C(x) represents the cost as the number of units produced becomes very large. In this case, the marginal cost is constant at $8 per pair of earrings, indicating that as the number of units produced increases, the cost per unit remains the same.
Therefore, the horizontal asymptote of C(x) is $8, indicating that the average cost per pair of earrings approaches $8 as the number of units produced increases indefinitely.
In practical terms, this means that for every additional pair of earrings produced beyond a certain point, the average cost will stabilize and remain around $8, regardless of the total number of earrings produced.
Please solve with explanation high points
Answers
Answer:
a. -2x^2 + 3x+5=y
b.-x^2 +5x-4=y
c.-x^2 +6x-12=y
Step-by-step explanation:
a.y=-2x^2 +bx+c
the points P and Q lie on curve
\(\left \{ {{-b+c=2} \atop {b+c=8}} \right.\)
=> b=3, c=5
b. delta = b^2 +4c
x1= \(\frac{-b+\sqrt{b^{2}+4c } }{-2}\) =4
=> \(b-\sqrt{4c+b^{2} }\)=8
x2=\(\frac{-b-\sqrt{b^{2}+4c } }{-2}\)=1
=>2=b+\(\sqrt{b^{2}+4c }\)
suppose : \(\sqrt{b^{2}+4c }\) = a
=> \(\left \{ {{a+b=2} \atop {-a+b=8}} \right.\)
=> a=-3
b=5
a=-3 => \(\sqrt{b^{2}+4c }\) =-3 => b^2 +4c =9 =>5^2 +4c=9 => c=-4.
c.vertex (3;-3)
\(\frac{-b}{-2}\)=3 => b =6
\(\frac{-D}{4a}\)=\(\frac{-b^{2}+4ac}{-4}\) =-3 =>-b^2+4ac=12 => c=-12.
A rock is launched into the air from the top of a 50 foot cliff at an initial velocity of 120 ft/sec What is the maximum height the rock will reach? (hint: Projectile motion formula is - 16t ^ 2 + vt + h
Answers
Answer:
Step-by-step explanation:
The rock reaches its maximum height when the velocity is zero
Given the equation modeled by the height given as:
h(t) = - 16t^2 + vt + h
If v = 120ft/s and h = 50
h(t) = - 16t^2 + 120t + 50
First calculate t
At max height dh/dt = 0
dh/dt = -32t + 120
-32t +120 = 0
-32t = -120
t = -120/-32
t = 3.75s
Substitute t = 3.75 into the equation for the heightt
h(t) = - 16t^2 + 120t + 50
h(3.75) = - 16(3.75)^2 + 120(3.75) + 50
h(3.75) = - 225+ 450+ 50
h(3.75) = - 225+ 500
h(3.75) = 275m
Hence the max height reached by the rock is 275m
What is the equivalent percent? 6/15
Answers
Answer .277
Step-by-step explanation:
because 6/15 is not half but almost is
Choose the function that shows the correct transformation of the quadratic function shifted two units to the right one
unit up.
o f(x) = (x - 2)2 - 1
O f() = (x - 2)2 + 1
o f() = (x + 2)2 - 1
o f(x) = (x + 2)2 + 1
Answers
The last one f(x)=(x+2)2+1 because two units to the right is positive and going up is also positive
complete the steps to solve the equation
Answers
Answer:
attached below
Step-by-step explanation:
minus 2 from each side in order to isolate T with the coefficient. To get rid of the coefficient multiply to get 1 which is 5 in this case. Then the answer will be 75
Lisa sees 10 birds. Cheyanne sees 6 times as many birds as lisa. How many birds do lisa and cheyanne see?
Answers
Answer:70
Step-by-step explanation:
Lisa sees 10
Cheyenne sees 10x6=60
10+60=70
BRAINLIEST FOR WHOEVER SOLVES AND IS CORRECT.
Answers
Answer:
24/9
Step-by-step explanation:
To get from 3 to 9, you multiply by 3. If you want to make the fractions equivelnt, you need to multiply 8 by 3. That is 24. The fraction is 24/9.
Xander needs to collect at least 180 cans for a food drive to earn community service credit. He has already collected 64 items. describe in words
Answers
Simplify
V-50.
O 5/2
ООО
O 5iv 2
0
-5V2
Answers
Answer:
It’s 11, remember pemdas when answering a question like this.
Step-by-step explanation:
A rubber ball is bounced from a height of 9 meters and bounces continuously .Each successive bounce reaches a height that is a thrid of the previous height. If the ball continues to bounce in this way, what height will the ball reach during the sixth bounce?
Answers
Answer:
1/81 meters
Step-by-step explanation:
Since it reaches a height of 1/3 the previous height after each bounce, we can set up an equation for "y", the balls height, after x bounces:
\(y=9*(\frac{1}{3})^x\)
Therefore, to find the ball's height after 6 bounces we just plug-in 6 for x in the equation above to get 1/81.
Hope this helps :)
It is known that 80% of all brand A external hard drives work in a satisfactory manner throughout the warranty period (are "successes"). Suppose that n= 15 drives are randomly selected. Let X = the number of successes in the sample. The statistic X/n is the sample proportion (fraction) of successes. Obtain the sampling distribution of this statistic.
Answers
Answer:
P (x= 5) = 0.0001
P(x=3) = 0.008699
Step-by-step explanation:
This is a binomial distribution .
Here p = 0.8 q= 1-p = 1-0.8 = 0.2
n= 15
So we find the probability for x taking different values from 0 - 15.
The formula used will be
n Cx p^x q^n-x
Suppose we want to find the value of x= 5
P (x= 5) = 15C5*(0.2)^10*(0.8)^5 = 0.0001
P(x=3) = 15C3*(0.2)^12*(0.8)^3 = 9.54 e ^-7= 0.008699
Similarly we can find the values for all the trials from 0 -15 by substituting the values of x =0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15.
The value for p(x = 5) is 0.0001 and the value for p(x = 3) is 0.008699.
It is given that the 80% of all brand A external hard drives work in a satisfactory manner throughout the warranty period.
It is required to find the sampling distribution if n =15 samples.
What is sampling distribution?It is defined as the probability distribution for the definite sample size the sample is the random data.
We have p =80% = 0.8 and q = 1 - p ⇒ 1 -0.8 ⇒ 0.2
n = 15
We can find the probability for the given x by taking different values from 0 to 15
the formula can be used:
\(\rm _{n}^{}\textrm{C}_x p^xq^{n-x}\)
If we find the value for p(x = 5)
\(\rm _{15}^{}\textrm{C}_5 p^5q^{15-5}\\\\\rm _{15}^{}\textrm{C}_5 0.8^50.2^{10}\)⇒ 0.0001
If we find the value for p(x = 3)
\(\rm _{15}^{}\textrm{C}_3 0.8^30.2^{12}\\\) ⇒
Similarly, we can find the values for all the trials from 0 to 15 by putting the values of x = 0 to 15.
Thus, the value for p(x = 5) is 0.0001 and the value for p(x = 3) is 0.008699.
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Which is the
4
graph of f(x) = 4[*?
-3-2--1₁-
-2-
2 3 4 5 6
4
1
1-2--11-
-2
2 3
56
4
2-11.
-2-
23
56
Answers
Option 2 is the correct graph for the function f(x) = \(4[(1/2)^{x}]\) .
Given ,
f(x) = \(4[(1/2)^{x}]\)
Mathematically the graph will of exponential in nature.
So,
Let us assume few values to understand the nature of graph.
Firstly,
Let x= 1
f(x) = \(4[(1/2)^{1}]\)
f(x) = 2
Let x = 2
f(x) = \(4[(1/2)^{2}]\)
f(x) = 1
Let x = 3
f(x) = \(4[(1/2)^{3}]\)
f(x) = 0.5
Thus from these values of f(x) corresponding to the values of x second graph will be correct .
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Let P(x) and Q(x) be predicates and suppose D is the domain of x. In 55–58, for the statement forms in each pair, determine whether (a) they have the same truth value for every choice of P(x), Q(x), and D, or (b) there is a choice of P(x), Q(x), and D for which they have opposite truth values.
∃x ∈ D, (P(x) ∧ Q(x)), and (∃x ∈ D, P(x)) ∧ (∃x ∈ D, Q(x))
Answers
The truth values of the two statement forms are in opposition.
Let P(x) be "x is an even number," Q(x) be "x is divisible by 3," and D be the collection of numbers from 1 to 10, to demonstrate.
There is an x in D for which both P(x) and Q(x) are true in the first assertion, x D, (P(x) Q(x)), which is 6. The first claim therefore has a real truth value.
The two x's in D that fulfil each predicate separately in the second assertion, (∃x ∈ D, P(x)) ∧ (∃x ∈ D, Q(x)), are 2 and 3. The domain does not, however, include any x that satisfies both predicates. The second claim therefore has a false truth value.
As a result, the two statement forms contain contradictory truth values.
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Find the 66th
term in the following
arithmetic sequence
-92, -85, -78, -71, ...
Answers
Answer:
The \(66\)th term is \(363\).
Step-by-step explanation:
To find the \(n\)th term, the formula is \(7n - 99\). Since we want to find the \(66\)th term, we can plug \(n\) for \(66\). So our expression is now \(7 \cdot 66 - 99 =\) \(66\)th term. Solving this we have
\(462 - 99 = 66\text{th term}\\363 = 66\text{th term}\\\). Therefore, the \(66\)th term is \(\boxed{363}\).
Answer:
a₆₆ = 363
Step-by-step explanation:
the nth term of an arithmetic sequence is
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = - 92 and d = a₂ - a₁ = - 85 - (- 92) = - 85 + 92 = 7 , then
a₆₆ = - 92 + (65 × 7)
= - 92 + 455
= 363
Find the surface area of a cylinder with a height of 9 ft and diameter of 4
Answers
Answer:50.2654812288
Step-by-step explanation:
The two circles :
Sa = πr²
= π x 2²
= 12.5663706144
= 12.5663706144 x 2
= 25.1327412288
The rectangle :
C x h = 2πr
= 25.13274
= 25.13274 + 25.1327412288
= 50.2654812288
Step-by-step explanation:
50.2654858683848
because it is equivalent to this. Also I can tutor you
Slove for x : 4x - t = a
Answers
we have: 4x - t = a ⇒ 4x = a + t ⇒ x = \(\frac{a+t}{4}\)
ANSWER: x = \(\frac{a+t}{4}\)
ok done. Thank to me :>
If x= -1 then which of the following equations makes a true statement
4x + 9 = 20
-4x - 5 = -15
-3x + 15 = 18
-5x -15 = -22
Answers
Answer:
the third one will be it
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve.
Now you try on your own.
Kelly wants to build a new wardrobe for herself with only clothing pieces she loves, fit her well, and coordinate together. She already has most of the pieces she will use, but needs to save up to go shopping for the remaining items. She has already saved some money from her job, and she decides to set aside money weekly from her tips. The expression $25w+$65
represents the amount of money Kelly will have saved after some amount of weeks. What does each part of this expression represent?
$25=
Answer
w=
Answer
$65=
Answer
For this specific expression, would it make sense to plug in a negative number for w
? Answer
For this specific expression, would you ever expect to get a number less than 65
for your total amount saved?
Answers
The Interpretatiom of the equation is that;
w represents number of weeks she will have saved for the remaining items
$25 represents the amount she saves per week
$65 represents the amount she has already saved
How to solve algebra word problems?The algebra word problem can be solved by using variables to denote certain parameters I'm the question.
The general form of equation of a line in slope intercept form is;
y = mx + c
Where;
m is slope
c is y-intercept
We are given the equation:
$25w + $65
This equation represents the amount of money Kelly will have saved after some amount of weeks.
Thus;
w represents number of weeks she will have saved for the remaining items
$25 represents the amount she saves per week
$65 represents the amount she has already saved
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I can take medication that is prescribed to my parents because it is family.
True
False
Answers
Answer:
False
Step-by-step explanation:
Because it is your family, does not mean you should still take it. Yes genes are transmittable and inheritable, but that doesnt mean medication should be shared unless its a guarantee for the same issue. The answer if False.
The measure of one angle of a right triangle is 26°. Find the measure of the other angle.
Enter an integer or decimal number [more...]
Question Help:
Post to forum
Calculator
Answers
Answer:
64°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
let the third angle be x , then
x + 90° + 26° = 180°
x + 116° = 180° ( subtract 116° from both sides )
x = 64°
the other angle is 64°
Electric utility poles in the form of right cylinders are made out of wood that costs $12.09 per cubic foot. Calculate the cost of a utility pole with a diameter of 1.5 ft and a height of 25 ft. Round your answer to the nearest cent.
Answers
Step-by-step explanation:
Volume of a cylinder = pi r^2 h diameter =1.5 ft so r = .75 ft
pi * .75^2 * 25 = 44.18 ft^3
Find price (based on $ 12.09 /ft^3)
44.18 ft^3 * $ 12.09 /ft^3 = $ 534.12
The figure below shows a juice box in the shape for a rectangular prism
Answers
(a)
Given the dimensions of the rectangular prism l = 7 cm, w = 2 cm, h = 8 cm, the surface area of a rectangular prism can be computed using the equation
\(SA=2(wl+hl+hw)\)Substitute the values on the equation above and compute, we get
\(SA=2\lbrack(2cm\times7cm)+(8cm\times7cm)+(8cm\times2cm)\rbrack=172cm^2\)The volume of the rectangular prism can be computed using the equation
\(V=l\times w\times h\)Plug in the values on the equation above and compute, we get
\(V=(7cm)\times(2cm)\times(8cm)=112cm^3\)(b) For the amount of juice inside the rectangular prism, we will use volume.
(c) For the amount of coating of wax for the box, we will use surface area.
Sammy the Sailor swears entirely too much. The following probability distribution shows the number of times Sammy swears per day and the corresponding probabilities:
# of swear words: 2 5 9 14 20
Probability: 0.01 0.09 0.30 0.40 0.20
In an effort to reduce his amount of swearing, Sammy places $1.00 in a jar every time he swears. Further, if at the end of the day he swears more than 10 times, he places an extra $2.00 in the jar per swear word over 10. If Sammy swears less than 5 times, he takes out $0.50 for each of his swear words.
A B C D E F G
1 # of swear word Probability
2 Cost per swear word $1.00 2 0.01
3 Extra cost per swear
word over 10 $2.00 5 0.09
4 Refund per swear word
less than 5 $0.50 9 0.3
5 14 0.4
6 20 0.2
7
8
9 # Regular Extra cost Refund Total
swear swear if over 10 if under money
words word swear 5 swear in the jar
cost words words for the
day
10
Based off the partial simulation spreadsheet above, answer the following questions:
A) What formula should go into cell C10 to calculate the Regular Swear word cost?
B3*B4 SUMPRODUCT(B2:B4, B10) B4*B10 SUM(B2:B4) B2*B10 B3*B2 B3*B10
B) What formula should go into cell D10 to calculate the Extra Swear word cost?
=IF(B10>10,(B10-10)*B3,0) =IF(B10>10,(10-B10)*B3,0) =(B10-10)*B3 =IF(B10>10,0,(B10-10)*B3) SUMPRODUCT(B10,B3) B10*B3
C) What formula should go into cell E10 to calculate the Refund amount?
B10*B4 =IF(B10>5,(B10-5)*B4,0) =IF(B10<5,0,B10*B4) =IF(B10<5,B10*B4,0) SUMPRODUCT(B10:B4) =IF(B10<5,(B10-5)*B4,0)
D) What formula should go into cell F10 to calculate the total money in the jar?
Answers
Full question attached:
Answer and explanation:
A) B2*B10: cell B2 and B10 have the values regular swear costs and number of swears respectively and we need to multiply these two values to get our answer
B) =IF(B10>10,(B10-10)*B3,0): Sam is supposed to pay an extra $2 for swear words over 10 and so we check if his swear words are above 10 and if they are we find out how many they are by subtracting 10 from them and then we multiply the value gotten by the cost for extra swear words($2)
C) =IF(B10<5,B10*B4,0): here we check if swear words are less than 5 and if they are we multiply number of swears words less than by 5 by the cost ($0.50)
D) F10=C10+D10+E10: to calculate total money in jar(F10), we simply add up regular cost(C10), extra cost(D10) and refund(E10)
Solve the inequality below. Use the drop-down menus to describe the solution and its graph. 7 13 11 Click the arrows to choose an answer from each menu. The solution to the inequality is Choose.... Choose... A graph of the solution should have Choose.... and be shaded to the
Answers
Answer:
\(x \leq -4\)
There will be a filled-in hole at -4.
Step-by-step explanation:
We can solve an inequality the same way we do for equations. The only thing to keep in mind, is that multiplying by a negative number will result in flipping the inequality sign (< to > and vice versa)
\(-7x + 13 \geq 41 \text{ //}-13\\-7x \geq 28 \text{ //}:-7 \text{ (Notice we multiply by a negative number.)}\\x \leq -4\)
The difference between a filled-in and an empty hole in terms of inequality graphs, is whether or not the number limiting the inequality is included in it.
For example, in x > 3, 3 is limiting the inequality, however, it is not included in it, therefore, x would always be greater than 3.
In another example, \(x \leq -4\), -4 is limiting inequality and is included in it. Therefore, x would always be less than or equal to -4.
A filled-in hole means the number is included in the inequality, while an empty one means it isn't.
In our cases, -4 is included in the inequality (notice the line under the inequality sign that resembles "less than or equal to"), therefore there will be a filled-in hole at -4.