Answer:
Evaluate the expression 1/3(4+18) -2 squared
Step-by-step explanation:
First of all we will add brackets to understand the question as:
= ((1/3) * (4+18) - (2 squared))
= ((1/3) * ( 22) - 2² )
According to Math's rule that Multiplication and division must be completed before addition and subtraction.
= (( 1/3 * 22) - 4 )
= (( 7.33) - 4 )
= ( 7.33 - 4 )
= 3.33
3.33 is the correct answer.
an average Scott makes a basket 9 times out of 12 when he is practicing how many baskets can he expect to make when he tried 200.
Answer:
150
Step-by-step explanation:
We know that Scott's ratio of making the basket is 9/12. All we need to do is find out how many baskets he'll make if he attempts 200 shots.
So, 9/12 needs to become x/200. We don't know what x is yet, but there's a shortcut.
9/12 can be simplified by dividing 3 on the top and bottom.
9/12 ÷ 3/3 = 3/4
We can then see how many times 4 can go into 200.
200/4 = 50
So, we multiply 3/4 by 50 on both the top and bottom.
3/4 × 50/50 = 150/200.
So, if he attempts 200 shots then he'll make 150 of them.
Scott can expect to make approximately 150 baskets if he attempts 200 shots with his success rate being 9 out of 12, which equates to a 75% success rate.
Explanation:The question asks how many baskets Scott can expect to make if he tries 200 shots given that his average success rate is 9 out of 12. To find the answer, we can set up a proportion because Scott's shooting is a matter of probability and ratios. First, we determine Scott's success rate as a fraction: 9/12 which simplifies to 3/4 or a success rate of 75%.
Then, we apply this success rate to the new number of attempts (200) to find the expected number of successful baskets:
Expected number of baskets = Success rate x Total attemptsExpected number of baskets = (3/4) x 200Expected number of baskets = 150Therefore, if Scott attempts 200 shots, he can expect to make approximately 150 baskets.
Two cargo ships spot a signal fire on a small island. The captains know they are 140 feet
away from each other and using angle measuring device they can determine the angle from
cach of their ships to the signal fire. The angle at ship A is 82º and the angle at ship B is 78°.
How far is it from Ship B to the signal fire at point C?
Hint: Use Law of Sines:
sin A = sinB = sin C
82
B
a.
b.
48.9 feet
400.4 feet
c. 405.3 feet
d. 673.4 feet
Answer:
[tex]\large \boxed{\text{c. 405.3 ft}}[/tex]
Step-by-step explanation:
[tex]\begin{array}{rcr}\angle A + \angle B + \angle C & = & 180^{\circ}\\82^{\circ} + 78^{\circ} +\angle C & = & 180^{\circ}\\160^{\circ} + \angle C & = & 180^{\circ}\\\angle C & = & 20^{\circ}\\\end{array}[/tex]
[tex]\begin{array}{rcl}\dfrac{\sin A}{a} & = &\dfrac{\sin C}{c}\\\\\dfrac{\sin82^{\circ}}{a} & = &\dfrac{\sin20^{\circ}}{140}\\\\\dfrac{0.9903}{a} & = &\dfrac{0.3420}{140}\\\\a & = & \dfrac{0.9903 \times140}{0.3420}\\\\& = & \mathbf{405.3 ft}\\\end{array}\\\text{The distance from Ship B to the signal fire is $\large \boxed{\textbf{405.3 ft}}$}[/tex]
Crispy Clover, a popular vegetarian restaurant, introduced a new menu that has 20\%20%20, percent more dishes than the previous menu. The previous menu had DDD dishes.
Which of the following expressions could represent how many dishes Crispy Clover's new menu has?
Question:
Crispy clover, a popular vegetarian restaurant, introduced a new menu that had 20% more dishes than the previous menu. The previous menu had D dishes. Which of the following expressions could represent how many dishes crispy clovers new menu has?
Answer:
The expression could represent how many dishes crispy clovers new menu has is:
[tex]D + \frac{1}{5}D \text{ or } 1.2D[/tex]
Solution:
Given that,
The new menu had 20% more dishes than the previous menu
The previous menu had D dishes
Therefore,
Previous menu = D dishes
New menu = 20 % more dishes than previous menu
Which means,
New menu = 20 % of previous menu + previous menu
Therefore,
New menu = 20 % of D + D
Solve the above equation
[tex]New\ menu = 20 \% \times D + D\\\\New\ menu = \frac{20}{100} \times D + D\\\\New\ menu = 0.2 \times D + D\\\\New\ menu = 0.2D + D = \frac{D}{5} + D = 1.2D[/tex]
Therefore, new menu has 1.2D dishes
(1.3x + 2.4) - (6.1x - 3.2)
The expression (1.3x + 2.4) - (6.1x - 3.2) simplifies to -4.8x + 5.6 after distributing the negative sign and combining like terms.
To solve the expression (1.3x + 2.4) - (6.1x - 3.2), we'll distribute the negative sign inside the second parentheses and then combine like terms:
(1.3x + 2.4) - (6.1x - 3.2)
Distribute the negative sign:
1.3x + 2.4 - 6.1x + 3.2
Combine like terms:
(1.3x - 6.1x) + (2.4 + 3.2)
Combine the x terms:
-4.8x + 5.6
So, (1.3x + 2.4) - (6.1x - 3.2) simplifies to -4.8x + 5.6.
Learn more about solving the expression here:
https://brainly.com/question/30350742
#SPJ6
The probable question may be:
Simplify (1.3x + 2.4) - (6.1x - 3.2)
A $200 jacket went on sale for $140. What percentage was the reduction?
Question 1 options:
70%
35%
65%
60%
Answer:
Step-by-step explanation:
The dollar amount of the reduction was $200 - $140, or $60.
$60 is what percentage of $200?
$60
---------- = 3/10 = 0.30
$200
The reduction was 30%; the jacket sold for 70% of its original price.
Answer:
Step-by-step explanation: set up a proportion:
140/200 = x/100 answer is 70%
to cross check - .70 multiplied by 200 =140
Which statements are true about the area of a circle check all that apply
Answer:
The correct answer is Area = Pir2, The area formula can be found by breaking apart the circle and forming a parallelogram, and The area formula can be found by breaking apart the circle and forming a parallelogram. B,D,and E.
Step-by-step explanation:
Answer:
B, D, E
Step-by-step explanation:
Thats the correct answer bye
The greatest integer that will divide both 4900 and 168 exactly
The greatest integer that will divide both 4900 and 168 exactly is 28.
What is Least Common Multiple?Least Common Multiple is a mathematical term. The smallest number that is a multiple of both of two numbers is called the least common multiple.
For example, the LCM of 6 and 8 is 24. Hence 24 is divisible by both 6 and 8.
First, Prime Factorizing 4900
4900 = 7 x 7 x 2 x 2 x 5 x 5
and, Prime Factorizing 168
168 = 2 x 2 x 2 x 3 x 7
So, the Common multiple of 4900 and 168 is 2 x 2 x 7 = 28.
Learn more about Least Common Multiple here:
https://brainly.com/question/30060162
#SPJ2
Final answer:
The greatest integer that will divide both 4900 and 168 exactly is 4.
Explanation:
The greatest integer that will divide both 4900 and 168 exactly is 4.
To determine this, we can use the concept of greatest common divisor (GCD). The GCD is the largest positive integer that divides two given numbers without leaving a remainder. In this case, the GCD of 4900 and 168 is 4.
One way to find the GCD is to factorize both numbers and determine the common factors. In this case, the prime factorization of 4900 is 2^2 * 5^2 * 7^2, and the prime factorization of 168 is 2^3 * 3 * 7.
The common factors are 2^2 and 7^1, which multiplied together give us 4. Therefore, 4 is the greatest integer that will divide both 4900 and 168 exactly.
Melissa sells her art online for $49.50 per print. How many prints must she sell next month if she wants to earn at least $2000?
Answer:
41
Step-by-step explanation:
A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. 40 prints must she sell next month if she wants to earn at least $2000
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
Melissa sells her art online for $49.50 per print.
We need to find how many prints she has to sell to earn atleast $2000.
Let us consider x be the number of prints.
Let us form proportional equation
Forty nine point five zero by one equal tp two thousand by x.
49.50/1=2000/x
Apply cross multiplication
49.50x=2000
Forty nine point five zero times of x equal to two thousand.
Divide both sides by 49.50
x=40.40
Hence 40 prints must she sell next month if she wants to earn at least $2000
To learn more on Ratios click:
https://brainly.com/question/1504221
#SPJ1
Is 24/40 4/5 a true proportion?
Answer:
no
Step-by-step explanation:
24 x 5 = 120
40 x 4= 160
3. Add:
(-21) + (-37) + (-15)
O A. 73
O B. -58
O C. -43
O D.-73
Answer:
D) -73
Step-by-step explanation:
(-21)+(-37)+(-15)
-21-37-15
-58-15
-73
will reward brainliest!
how many and what type of solutions does the equation have 17+3x^2=6x
A. no real solution
B. one real solution
C. two rational solutions
D. two irrational solutions
Option D: Two irrational solutions
Explanation:
The equation is [tex]17+3 x^{2}=6 x[/tex]
Subtracting 6x from both sides, we have,
[tex]3x^{2} -6x+17=0[/tex]
Solving the equation using quadratic formula,
[tex]x=\frac{6 \pm \sqrt{36-4(3)(17)}}{2(3)}[/tex]
Simplifying the expression, we get,
[tex]\begin{aligned}x &=\frac{6 \pm \sqrt{36-204}}{6} \\&=\frac{6 \pm \sqrt{-168}}{6} \\&=\frac{6 \pm 2 i \sqrt{42}}{6}\end{aligned}[/tex]
Taking out the common terms and simplifying, we have,
[tex]\begin{aligned}x &=\frac{2(3 \pm i \sqrt{42})}{6} \\&=\frac{(3 \pm i \sqrt{42})}{3}\end{aligned}[/tex]
Dividing by 3, we get,
[tex]x=1+i \sqrt{\frac{14}{3}}, x=1-i \sqrt{\frac{14}{3}}[/tex]
Hence, the equation has two irrational solutions.
A square prism measuring 6 km along each
edge of the base and 5 km tall. Find area
Final answer:
The total surface area of a square prism with a base edge of 6 km and height of 5 km is 192 km².
Explanation:
The question is about finding the surface area of a square prism (also known as a rectangular prism where the base is a square). A square prism has six faces: two square bases and four rectangular sides. To find the total surface area, we calculate the area of each face and sum them up.
The formula for the area of a square is side × side. Since the base of the prism is a square with each side measuring 6 km, the area of one square base is:
Area of one square base = 6 km × 6 km = 36 km²Since there are two square bases:
Total area of two square bases = 36 km² × 2 = 72 km²The formula for the area of a rectangle is length × width. The four rectangular sides each have one dimension that is the height of the prism (5 km), and the other dimension is the length of a side of the base (6 km), so:
Area of one rectangular side = 5 km × 6 km = 30 km²There are four such sides:
Total area of four rectangular sides = 30 km² × 4 = 120 km²Adding the areas of the bases and the sides:
Total surface area of the prism = 72 km² + 120 km² = 192 km²Select the correct answer.
AB and BC form a right angle at point B. If A= (-3,-1) and B = (4,4), what is the equation of
O A.
x + 3y = 16
B. 2x + y = 12
C.-7x- 5y = -48
D. 7x - 5y = 48
Answer:
C. -7x- 5y = -48
Step-by-step explanation:
The vector AB is ...
AB = B -A = (4, 4) -(-3, -1) = (4+3, 4+1) = (7, 5)
The dot-product of this vector and the one in the direction of the line through B will be 0:
(7, 5)·(x -4, y -4) = 0
7(x -4) +5(y -4) = 0
7x +5y -48 = 0
Multiplying by -1 gives the form we see in answer choice C:
-7x -5y = -48
How much simple interest will be charged on a 40,000 loan with a 7% interest rate that is paid back in 4 years?
Answer:$11200
Step-by-step explanation:
I = prt
I = 40,000( .07)(4)
I = $11200
What is the answer
9:3 :: 49 :
To solve this ratio problem, we need to determine the relationship between the given numbers and apply it to find the answer.
Explanation:The given expression is:
9:3 :: 49 :
To solve this, we need to determine the relationship between 9 and 3, and then apply the same relationship to 49.
The symbol '::' represents the ratio or proportion between the numbers before and after it.
9 divided by 3 is equal to 3, so the relationship here is that the first number is three times the second number.
Now, let's apply the same relationship to 49:
49 divided by 3 is equal to 16.33, so we can say that the answer is 16.33.
Learn more about Ratio here:https://brainly.com/question/32531170
#SPJ3
The final answer is 9 : 3 :: 49 : 16.33.
Here's a step-by-step solution:
We need to find the missing number such that the ratios are equivalent. This can be written as a proportion: 9/3 = 49/x.First, simplify the left side: 9/3 = 3.So, we have: 3 = 49/x.Next, solve for x by multiplying both sides by x: 3x = 49.Finally, divide both sides by 3 to isolate x: x = 49/3.Therefore, x = 16.33 (rounded to two decimal places).The answer to the question is therefore 49 : 16.33.
The function f(x) = 2x + 210 represents the number of calories burned when exercising, where x is the number of hours spent exercising.
The function g(x) = 2x + 125 represents the calorie deficit that occurs when following a particular diet, where x is the number of hours spent exercising.
What is (f + g)(2)? Explain.
Hey there!
When we say (f + g)(2), we are adding both functions together and plugging in 2 for x.
Since f(x) is equal to 2x + 210 and g(x) is equal to 2x + 125, (f + g)(x) is equal to (2x + 210) + (2x + 125).
That can be simplified to 4x + 335.
So, (f + g)(x) = 4x + 335.
Let's plug 2 in for x and solve.
(f + g)(2) = 4(2) + 335
Multiply.
(f + g)(2) = 8 + 335
Add.
(f + g)(2) = 343
The x value is consistent for the values of both equations, in both x is defined as the number of hours spent exercising.
So, (f + g)(2), which is 343, is the amount of calories burned and the calorie deficit on a diet when 2 hours are spent exercising.
Hope this helps!
Answer:
Its D
Step-by-step explanation:
Cara went on a road trip. She set her cruise control for 65 miles per hour for 2 hours and then she lowered the cruise control to 60 miles per hour for the next 1.5 hours. What is the total distance she traveled during her drive?
Question 2 options:
227.5 miles
210 miles
220 miles
218.75 miles
Answer:220
Step-by-step explanation:
65+65+ 60+ 30
PLZ HELP!!!!!!!! BRANILY!!!!!!!!!!!!!! FOR THE PERSON WHO GETS THE ANSWER RIGHT!!!!!!!
IF M∠J = 82, M∠L = 57, AND M∠K = 41, list the sides of JLK in order from smallest to largest.
angle list: k,l,j:
sides are: LJ, KJ, KL
To find the sides of triangle JLK in order from smallest to largest, we need to compare the measures of the angles. The side opposite the largest angle is the longest side, so we can determine the order of the sides based on the angle measures.
Explanation:The triangle JLK has angles J, L, and K with measures 82, 57, and 41 degrees, respectively. To determine the sides of JLK in order from smallest to largest, we can use the fact that the side opposite the largest angle is the longest side. So, we need to identify the largest angle and its corresponding side.
Comparing the measures of the angles, we can see that M∠J is the largest angle. Therefore, the side opposite angle J, which is side JL, is the longest side. Next, we compare the measures of the remaining angles. M∠L is the next largest angle, so the side opposite angle L, which is side LK, is the second longest side. Finally, M∠K is the smallest angle, so the side opposite angle K, which is side JK, is the shortest side.
Therefore, the sides of triangle JLK in order from smallest to largest are JK, LK, JL.
Learn more about Order of Sides of a Triangle here:https://brainly.com/question/29203378
#SPJ2
A Store has 8 fish tanks that each have 40 liters of water. What is the total number of liters of water in all of the fish tanks?
Answer:
320 liters
Step-by-step explanation:
Each tank = 40 liters
8 tanks = 40 × 8 = 320
Answer:
8 x 40 = 320
Step-by-step explanation:
since 1 fish tank has 40 liters of water, we are trying to find the total of all 8 which is why we multiply 8 x 40
How many solutions exist for the given equation?
12x + 1 = 3(4x + 1) – 2
zero
one
two
infinitely many
The equation have infinite solutions.
Data;
12x + 1 2(4x + 1) - 2Solution of EquationTo solve this problem, we can proceed to solve this equation by collecting like terms and then dividing through to know the coefficient of x.
[tex]12x + 1 = 3(4x + 1) - 2\\12x + 1 = 12x + 3 - 2\\12x + 1 = 12x + 1\\[/tex]
The equation have infinite solutions.
Learn more on solution of equations here;
https://brainly.com/question/16863577
Answer:
D. Infinitely many
Step-by-step explanation:
did on edge
hope this helps
Help I am so confused
1.)Which equation does not support the fact that polynomials are closed under multiplication?
−1⋅−1=1
1x⋅x=1
1⋅x=x
13⋅3=1
2.)Multiply and simplify.
x^2⋅x⋅x^5
3.)Multiply and simplify.
(3x+7)8x^2
Final answer:
The equation that does not support the fact that polynomials are closed under multiplication is 1x⋅x=1. To multiply and simplify [tex]x^2⋅x⋅x^5[/tex]onents are added. To multiply and simplify[tex](3x+7)8x^2,[/tex]ive property is used.
Explanation:
The equation that does not support the fact that polynomials are closed under multiplication is 1x⋅x=1. When multiplying two polynomials, the degree of the resulting polynomial is the sum of the degrees of the two original polynomials. In this case, the degree of the resulting polynomial would be 2, but the equation implies a polynomial of degree 0, which is not possible.
To multiply and simplify[tex]x^2⋅x⋅x^5[/tex]he exponents when multiplying the same base. So,[tex]x^2⋅x⋅x^5 = x^(2+1+5) = x^8.[/tex]
To multiply and simplify [tex](3x+7)8x^2,[/tex] distributive property. We multiply each term in the first polynomial by each term in the second polynomial. So, [tex](3x+7)8x^2 = 24x^3 + 56x^2.[/tex]
write the domain and range in interval notation.
Domain: [tex][-2,6][/tex]
Range: [tex][0,5][/tex]
Explanation:
Domain:
The domain of a function is the set of all possible values of the independent variable x. From the graph, we can see that the function has the set of all possible values from -2 to 6. Hence, the domain is from -2 to 6.
Thus, writing the domain in interval notation, we have,
[tex]-2\leq x\leq 6[/tex]
This also can be written as [tex][-2,6][/tex]
Hence, the domain is [tex][-2,6][/tex]
Range:
The Range of a function is set of all possible values of y obtained by substituting the values for x in the function. From the graph, we can see that the function has the set of all possible values from 0 to 5. Hence, the range is from 0 to 5.
Thus, writing the range in interval notation, we have,
[tex]0\leq y\leq 5[/tex]
This also can be written as [tex][0,5][/tex]
Hence, the range is [tex][0,5][/tex]
The domain and range in interval notation represent sets of possible values a function can take. For instance, for the function f(x) = 2x + 3 where x can be any real number, both the domain and range would be (-∞, ∞). Square brackets denote inclusive endpoints, while parentheses denote exclusive endpoints in interval notation.
Explanation:In mathematics, particularly in functions, the domain and range represent sets of possible input and output values respectively. When expressed in interval notation, domain and range convey a concise representation of these sets.
Let's illustrate with an example. If we have the function f(x) = 2x + 3, and x can be any real number, the domain in interval notation would be (-∞, ∞). As for the range, since the function can also output any real number, the range would also be (-∞, ∞).
To write the domain and range in interval notation, remember that square brackets [ ] represent inclusive endpoints, while parentheses ( ) represent exclusive endpoints. The symbol '∞' is always cloaked by parentheses.
Learn more about Interval Notation here:https://brainly.com/question/38282670
#SPJ12
Which term completes the product so that it is the difference of squares?
| (-5x-3)(-5x+_
.
..
со со
Answer:
3
(-5x - 3)(-5x + 3)
Step-by-step explanation:
Difference of squares is a special type of factoring when you are subtracting two numbers that are perfect squares. Perfect squares are numbers that, when you find its square root, it is a whole number.
Difference of squares follows this rule:
a² - b² = (√a² - √b²)(√a² + √b²) = (a - b)(a + b)
Notice in the factored form, you take the same number in both brackets. In one set of brackets you add the numbers. In the other brackets, you subtract the numbers.
In (-5x - 3)(-5x + __), the blank in the second bracket will use the same number as the second number in the first brackets.
(-5x - 3)(-5x + 3)
A rectangle has a length of 10 inches and a width of 8 inches
The exterior angles of triangle UVW are ∠X, ∠Y, and ∠Z, and they are adjacent to ∠U, ∠V, and ∠W, respectively.
If m∠U is 33°, and m∠Z is 130°, what is m∠V?
Answer:
the answer is 97, I'll explain in the comments in a bit
^^
guy above me its right
Write an equation for the nth term of the geometric sequences. Then Find a6
A. 2, 8, 32, 128, ...
B. 0.6, -3, 15, -75, ...
C. -1/8, -1/4, -1/2, -1, ...
D. 0.1, 0.9, 8.1, 72.9, ...
Answer: The nth term of a geometric progression is Tn = ar^(n-1)
A. 12
B. 3.6
C. -3/4
D. 0.6
Step-by-step explanation:
The nth term of a geometric progression is Tn = ar^(n-1)
Where Tn= nth term
a = first term
r = common ratio
n = number
A. a6 = (2*6) = 12
B. a6 = (0.6*6) = 3.6
C. a6 = (-1/8*6) = -3/4
D. a6 = (0.1*6) = 0.6
An angle with a measure of 36(degrees)would be classified as which type of angle?
Answer:
An acute Angle
Step-by-step explanation:
Any Angle that is from 1 to 89 degrees is considered an acute Angle.
Solve this system of equations story problem by any method of your choice. Describe what the number solutions mean in terms of the real life application.
Jasmine and Stephanie are selling pies for a school fundraiser. Customers can buy cherry pies
and blackberry pies. Jasmine sold 12 cherry pies and 4 blackberry pies for a total of $136.
Stephanie sold 8 cherry pies and 1 blackberry pie for a total of $64. What is the cost each of one
cherry pie and one blackberry pie?
Please send a picture showing steps.
Answer:
Cost of each cherry pie = $6
Cost of each blackberry pie = $16
Step-by-step explanation:
Let x be the cherry pies and y be the blackberry pie.
Solution:
From the above statement Jasmine sold 12 cherry pies and 4 blackberry pies for a total of $136.
So, we write the first equation as.
[tex]12x+4y = 136 ------(1)[/tex]
And Stephanie sold 8 cherry pies and 1 blackberry pie for a total of $64.
So, we write the second equation as.
[tex]8x+y = 64 --------(2)[/tex]
First we solve equation 2 for y.
[tex]y = 64-8x[/tex] ------------------------(3)
Substitute [tex]y = 64-8x[/tex] in equation 1.
[tex]12x+4(64-8x) = 136[/tex]
[tex]12x+256-32x=136[/tex]
[tex]12x-32x=136-256[/tex]
[tex]-20x=-120[/tex]
[tex]x=\frac{120}{20}[/tex]
x = 6
Substitute x = 6 in equation 3.
[tex]y = 64-8(6)[/tex]
[tex]y=64-48[/tex]
y = 16
Therefore, cost of each cherry pie = $6 and cost of each blackberry pie = $16
By solving the system of equations, it is determined that the cost of one cherry pie is $6 and the cost of one blackberry pie is $16. These findings are crucial for pricing strategies in the school fundraiser.
Explanation:To solve the system of equations for the cost of cherry and blackberry pies sold by Jasmine and Stephanie for a school fundraiser, we can set up two equations based on the given information:
Let's denote the cost of one cherry pie as c and the cost of one blackberry pie as b. Therefore, we can form the following equations based on the problem statement:
Using the method of substitution or elimination, we solve for c and b.
For simplicity, let's use elimination. To eliminate b, we can multiply the second equation by -4 and add to the first:
-32c - 4b = -256
12c + 4b = 136
Combining these, we get -20c = -120, thus c = $6. Substituting c = 6 into the second equation, 8*6 + b = 64, gives us b = $16.
In real-life terms, this means one cherry pie costs $6, and one blackberry pie costs $16, which would be important for pricing and accounting in the fundraiser.
A small acting club has 5 members. Three of the members are to be chosen for a trip to see a Broadway play. How many different 3-member groups are possible?
z(5 , 3) = 10
Step-by-step explanation:
x = 5
y = 3
z(x,y) = x/ y(x-y)
z (5, 3) = 5/ 3(5-3)
= 4x5/ 2
= 20/2
z (5- 3) = 10
Find the slope of a line that goes through (3,-9) and (5,-1)