In what quadrant would the ordered pair 12, -35 be located

QUESTION POSTED AT 15/01/2020 - 03:10 AM

Related questions

If y varies directly as x, and y is 12 when x is 1.2, what is the constant of variation for this relation? 1 10 10.8 14.4

Answer:

constant of variation is 10.

Second option is correct.

Step-by-step explanation:

We have been given that y varies directly as x. Thus, we have

y = kx.............(1)

k is the constant of variation

Now, it has been given that when y is 12 then x is 1.2.

Hence, substituting x = 1.2 and y = 12 in equation (1)

12 = 1.2 k

Divide both sides by 1.2

k = 12/1.2

k = 10

Therefore, constant of variation is 10.

Second option is correct.

ANSWERED AT 29/01/2020 - 05:40 PM


QUESTION POSTED AT 29/01/2020 - 05:40 PM

Solve for g. -6g + 3g + 12 > -18

-6g + 3g + 12 \ \textgreater \  -18

Start by combining like terms on both sides 
-6+3=-3
Now we have:
-3g+ 12 \ \textgreater \ -18

To isolate g we need to subtract 12 from both sides -18-12= -30

Now we have
-3g \ \textgreater \ -30

Divide both sides by -3 to isolate g, now we have: 

g\ \textgreater \ -10
When we divide an inequality by a negative we flip the sign so:
g\ \textgreater \ -10
becomes:
g\ \textless \ 10

Final answer:

g\ \textless \ 10

ANSWERED AT 29/01/2020 - 05:38 PM


QUESTION POSTED AT 29/01/2020 - 05:38 PM

A given line has the equation 10x 2y -2.What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)?)x 12O Submitted

10x + 2y = -2
2y = -10x - 2
y = (-10/2)x - 2/2
y = -5x - 1...the slope here is -5...a parallel line will have the same slope.

y = mx + b
slope(m) = -5
(0,12)...x = 0 and y = 12
now we sub...we r looking for b, the y intercept
12 = -5(0) + b
12 = b

so ur parallel line is : y = -5x + 12

ANSWERED AT 29/01/2020 - 05:36 PM


QUESTION POSTED AT 29/01/2020 - 05:36 PM

A given line has the equation 10x -2.2y What is the equation, in slope-intercept form, of the line that is parallel to given line passes through the point (0, 12)?the and )x 12submitted

10x + 2y = -2

2y = -10x - 2

y = -(10/2)x - 2/2

y = -5x  - 1    y = mx + c,   slope m = -5.

If it is parallel, then the slope of the second line ought to be -5 as well.

So you should fill -5 in the bracket.

ANSWERED AT 29/01/2020 - 05:36 PM


QUESTION POSTED AT 29/01/2020 - 05:36 PM

Solve the following system of equations. Express your answer as an ordered pair in the format (a,b), with no spaces between the numbers or symbols. 2x+7y=4 -4x -3y=14

2x + 7y = 4.....multiply by 2
-4x - 3y = 14
------------------
4x + 14y = 8 (result of multiplying by 2)
-4x - 3y = 14
----------------add
11y = 22
y = 2

2x + 7y = 4
2x + 7(2) = 4
2x + 14 = 4
2x = 4 - 14
2x = - 10
x = -5

solution is : (-5,2)

ANSWERED AT 29/01/2020 - 05:36 PM


QUESTION POSTED AT 29/01/2020 - 05:36 PM

What is the 1st term when 1 + 6x2 + 5x4 + 3x3 is arranged in descending order? 1 6x2 5x4 3x3

Answer:

the first term is 5x^4

Step-by-step explanation:

We have been given the polynomial 1+6x^2+5x^4+3x^3

Arrange this polynomial in descending order. In other words we arrange this polynomial having exponent from greatest to smallest.

Exponents from descending order is given by

4, 3, 2, 0

So, the polynomial when arranged in descending order is given by

5x^4+3x^3+6x^2+1

Therefore, the first term is 5x^4

ANSWERED AT 29/01/2020 - 05:33 PM


QUESTION POSTED AT 29/01/2020 - 05:33 PM

A person who looks at a sequence of 14, 12, 10, 8 and decides that the next two terms are 6 and 4 is doing deductive thinking.

Yes so whats the question

ANSWERED AT 29/01/2020 - 05:29 PM


QUESTION POSTED AT 29/01/2020 - 05:29 PM

Cookies are sold singly and in packages of 12 or 36. how many ways can you buy 72 cookies?

I think 4 ways if im not mistaken because I done this in my head just now

ANSWERED AT 29/01/2020 - 05:23 PM


QUESTION POSTED AT 29/01/2020 - 05:23 PM

This figure shows the procedure for constructing a A. pair of parallel lines B. perpendicular bisector C. bisector of an angle D. perpendicular from a point on a line

In the question "This figure shows the procedure for constructing a" The correct answer is "bisector of an angle" (option C). To construct an angle bisector: Draw an arc that is centered at the vertex of the angle to intersect both sides of the angle. From the point of intersection of the previous arc and the both sides of the angle, draw two more arcs to intersect at a point. The radius for the two arcs must be equal. Then draw a straight line from the point of intersection of the later set of arcs and the vertex of the angle.

ANSWERED AT 29/01/2020 - 05:17 PM


QUESTION POSTED AT 29/01/2020 - 05:17 PM

Find S15 for the geometric series 72 + 12 + 2 + 1/3 +

Hello,

u_{1}=72\\

u_{2}=\dfrac{72}{6}\\

u_{3}=\dfrac{72}{6^{2}}\\

u_{15}=\dfrac{72}{6^{14}}\\


s=72*(1+\dfrac{1}{6^{1}}+\dfrac{1}{6^{2}}+\dfrac{1}{6^{3}}++...+\dfrac{1}{6^{14}})\\
=72*(\dfrac{\frac{1}{6^{15}}-1}{\frac{1}{6}-1}})\\
=72*(\dfrac{470184984576-1}{78364164095*5})\\

=86,400...




ANSWERED AT 29/01/2020 - 05:16 PM


QUESTION POSTED AT 29/01/2020 - 05:16 PM

The ordered pairs below represent a relation between x and y.(-3,1), (-2,3), (-1,5), (0,7), (1,9), (2,11)Could this set of ordered pairs have been generated by a linear function?A. No, because the distance between consecutive y-values is different than the distance between consecutive x-valuesB. Yes, because the distance between consecutive x-values is constantC. Yes, because the relative difference between y-values and x-values is the same no matter which pairs of (x, y) values you use to calculate itD. No, because the y-values decrease and then increase

Answer:

The correct answer is C.

Step-by-step explanation:

Notice that the difference between consecutive values of x is always 1, and the difference between consecutive values of y is always 2. This means that

\frac{x_{1}-x_{0}}{y_{1}-y_{0}} = 2

where x_0 and x_1 stands for two consecutive values of x, and the same goes to y.

Now, notice that this is the definition of the slope of the equation of a line. Then, a line can be characterized by this condition, and that is why C is the correct answer.

Anyway, you can check that this set of point is generated by a linear function in other way. Suppose that it can be done, and the linear function has the form

y=mx+n.

From the pair (0,7) we deduce that  7 =m*0+n, then n=7. Now, substituting the pair (-3,1) we get 1=-3*m+7 and as consequence m=2. Thus, if the points are generated by a linear function, its expression would be y=2x+7.

Now, substitute the different values of x and check that the same values of y are obtained.

ANSWERED AT 29/01/2020 - 05:16 PM


QUESTION POSTED AT 29/01/2020 - 05:16 PM

The ordered pairs below represent a linear relation between x and y. (-3,0), (-2,4), (-1,8), (0,12), (1,16), (2,20) Which of the following is a correct statement about this relation? A. The slope of the line represented by this table is -4 and the y-intercept is -3. B. The slope of the line represented by this table is 4 and the y-intercept is 12. C. The slope of the line represented by this table is 4 and the y-intercept is -3. D. The slope of the line represented by this table is -4 and the y-intercept is 12.

Answer:

The correct option is B.

Step-by-step explanation:

It is given that the ordered pairs below represent a linear relation between x and y. (-3,0), (-2,4), (-1,8), (0,12), (1,16), (2,20).

At y-intercept the value of x is 0. From the given points we can say that the y-intercept of the function is (0,12).

If a line passing through the two points, then the slope of the function is

m=\frac{y_2-y_1}{x_2-x_1}

The slope of the function is

m=\frac{4-0}{-2-(-3)}=\frac{4}{1}=4

Therefore the slope of the line represented by this table is 4 and the y-intercept is 12. Option B is correct.

ANSWERED AT 29/01/2020 - 05:15 PM


QUESTION POSTED AT 29/01/2020 - 05:15 PM

How many inches in a yard? 12, 24, 36, or 72

1 Yard is equivalent 36 inches
or 
1 inch is equivalent to 1/36 yards

ANSWERED AT 29/01/2020 - 04:39 PM


QUESTION POSTED AT 29/01/2020 - 04:39 PM

Solve for x ratio equation 3:12 = x:16

3:12 = x:16

(3/12) = (x/16)

(3/12)*16 = x

(1/4)*16 = x

4 = x

x = 4

ANSWERED AT 29/01/2020 - 04:38 PM


QUESTION POSTED AT 29/01/2020 - 04:38 PM

1) Lance can paint the room in 5 hours, while Kim can paint the same room in 4 hours. How many hours would it take for them to paint the room together? 2) Dominique can ice cupcakes twice as fast as Houston. When they work together, Dominique and Houston can ice a large order of cupcakes in 5 hours. How many hours would it take Houston to ice them by himself?

1. In an hour, Lance can do 1/5 of the job and Kim can do 1/4 of the same job. Letting x be the number of hours it will take them to do the job together.
                                     (1/5 + 1/4) x = 1
The value of x is 20/9 or approximately 2.22 hours. 

2. Same as the concept above, the equation that would best describe the situation is,
                                   (1/x + 1/2x)(5) = 1
The value of x is 7.5 hours. Since this value is the number of hours Dominique can do the job alone, Houston's time will be 15 hours. 

ANSWERED AT 29/01/2020 - 04:37 PM


QUESTION POSTED AT 29/01/2020 - 04:37 PM

What are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotenuse is 15 units long? a) 9 units, 12 units b) 11 units, 10.2 units c)4.9 units, 15.8 units d)4.9 units, 14.2 units e)5.2 units, 14.1 units

The side opposite the angle 19 degrees is given by 15sin 19 = 4.9 units, while the side adjacent the angle 19 degrees is given by 15cos 19 = 14.2 units.

ANSWERED AT 29/01/2020 - 04:36 PM


QUESTION POSTED AT 29/01/2020 - 04:36 PM

Find the distance between the points R(0,5) and S(12,3). Round the answer to the nearest tenth. A. 10.4 B. 16 C. 12.2 D. 11.8 An airplane at T(80,20) needs to fly to both U(20,60) and V(110,85). What is the shortest possible distance for the trip? A. 165 units B. 170 units C. 97 units D. 169 units

1. The distance formula given two points is, 
                             d = sqrt ((x2 - x1)² + (y2 - y1)²)
Substituting the given values,
                            d = sqrt ((12 - 0)² + (3 - 5)²) = 12.17 or aproximately 12.2

2. Calculate the distance between points T and U and from U to V
   ( T to U)           d = sqrt ((20 - 80)² + (60 - 20)²) = 72.11
   (U to V)            d = sqrt ((110 - 20)² + (85 - 60)²) = 93.41

Adding this distances gives an answer of approximately equal to 165.52. The answer is letter A. 

ANSWERED AT 29/01/2020 - 04:35 PM


QUESTION POSTED AT 29/01/2020 - 04:35 PM

If cos theta is less than 0 and cot theta is greater than 0, then the terminal point determined by theta is in: A. Quadrant 2 B. Quadrant 3 C. Quadrant 1 D. Quadrant 4

Answer:

B. Quadrant 3

Step-by-step explanation:

Look at the picture.

ANSWERED AT 29/01/2020 - 04:35 PM


QUESTION POSTED AT 29/01/2020 - 04:35 PM

1) What are the real zeroes of x3 + 6 x2 – 9x – 54? A. 1, 2, 27 B. 3, -3, -6 C. -6, 3, -6 D. 2, -1, 18 E. 3, 3, -6 2) An entrepreneur estimates that the total profit (profit = total revenue minus total cost) from his proposed company will be given by the function P(x) = x3 – 4x2 + 3x – 12, where P is in hundreds of dollars and x is the number of years elapsed after the company starts operations. In how many years (x) will the company break even (no profit, no loss)? A. 1 year B. 2 years C. 3 years D. 4 years E. 6 years 3)How many negative roots can this polynomial function possibly have? f(x) = 5x4 – 7x3 – x2 – 3x – 2 A. 1 B. 5 or 3 or 1 C. 3 or 1 D. 4 or 2 or 0 E. 2 or 0

Answer with explanation:

Question 1)

The polynomial function is:

           f(x)=x^3+6x^2-9x-54

It could be written as:

f(x)=x^2(x+6)-9(x+6)\\\\\\i.e.\\\\\\f(x)=(x^2-9)(x+6)

The roots of a function are the possible values of x where f(x)=0

i.e.

(x^2-9)(x+6)=0\\\\i.e.\\\\\\(x-3)(x+3)(x+6)=0

Since,

(a-b)(a+b)=a^2-b^2

Hence, we get:

x+3=0\ or\ x-3=0\ or\ x+6=0\\\\\\i.e.\\\\\\x=-3\ or\ x=3\ or\ x=-6

Hence, the real zeros of the given problem is:

       B.   3, -3, -6

Question 2)

The profit function is given by:

         P(x)=x^3-4x^2+3x-12

We are asked to find the point where the company break even i.e. there is no profit or loss i.e. the possible value of x such that P(x)=0

i.e.

x^3-4x^2+3x-12=0\\\\\\i.e.\\\\\\x^2(x-4)+3(x-4)\\\\\\i.e.\\\\\\(x^2+3)(x-4)=0

i.e.

x^2+3=0\ or\ x-4=0\\\\i.e.\\\\x^2=-3\ or\ x=4

( As the square of a number can't be negative.

Hence, x^2=-3 is not a solution)

Hence, the solution is:

x=4

The correct answer is:

      D.  4 years    

Question 3)

The polynomial function is given by:

           f(x)=5x^4-7x^3-x^2-3x-2

We know that the number of sign changes of function f(x) gives the possible number of positive real roots

and  the number of sign changes of function f(-x) gives the possible number of negative real roots.

The number of sign changes in f(x) is 1

(Hence, f(x) has at most 1 positive real root)

and f(-x)=5x^4+7x^3-x^2+3x-2

The number of sign changes in f(x) is 3

(Hence, f(x) has at most 3 negative real root)

              The correct answer is:

                 C.      3 or 1

ANSWERED AT 29/01/2020 - 04:34 PM


QUESTION POSTED AT 29/01/2020 - 04:34 PM

Help!??!? How many different ways can a family of four sit at a rectangular dinner table with one person at each side? A. 4 ways B. 12 ways C. 16 ways D. 24 ways

Use the fundamental principle of counting. In the first seat, we can choose the seater from the four persons. On the next seat, only 3 people would be available. On the second, there are 2 and finally 1 to the last seat. Multiply all the possible number of seaters,
                                4 x 3 x 2 x 1 = 16
Thus, the answer is letter C. 

ANSWERED AT 29/01/2020 - 04:34 PM


QUESTION POSTED AT 29/01/2020 - 04:34 PM

A quadrilateral contains two equal sides measuring 12 cm each and an included right angle if the measure of the third side is 8 cm and the angle opposite to the right angle is 120 degrees.Find the fourth side and the area of the quadrilateral?

The fourth side of the quadrilateral can be determined by taking the sin of the difference of 120 and 90 in which the expression becomes sin 30 = x/12 where x is the extra length difference from the third side. x is equal to 6. Hence the fourth side is equal to 8+6 or 14 cm. The area of the quadrialteral is the sum of the rectangle and the area of triangle. The area of the rectangle is 8*12 equal to 96 cm2.The area of teh triangle is .5*6 \sqrt{3} *6. The sum or the total area is equal to 127.18 cm2.

ANSWERED AT 29/01/2020 - 04:33 PM


QUESTION POSTED AT 29/01/2020 - 04:33 PM

Two angles form a linear pair. The measure of one angle is six more than twice the measure of the other angle. Find the measure of each angle.

We let x and y represent the two angles,

y = 2x + 6

It was stated in the problem that these angles given are a linear pair. Angles in linear pair are said to add up to 180 degrees. Thus,

y + x = 180
2x + 6 + x = 180
3x = 174
x = 58°
y = 122°

ANSWERED AT 29/01/2020 - 04:22 PM


QUESTION POSTED AT 29/01/2020 - 04:22 PM

The statement tan theta -12/5, csc theta -13/12, and the terminal point determined by theta is in quadrant 3." A. cannot be true because 12^2 + 5^2 does not equal 1. B. cannot be true because if tan theta = -12/5, then csc theta = plus or minus 13/5. C. cannot be true because tan theta must be less than 1. D. cannot be true because tan theta is greater than zero in quadrant 3.

Answer:

Option D is correct.

The given statement cannot be true because tan theta is greater than zero in quadrant 3.

Step-by-step explanation:-

In quadrant 3rd ,

Cosine and Sine both are negative and tangent is positive.

As per the statement:-

The terminal point determined by theta is in quadrant 3.

Given:-

\tan \theta =\frac{-12}{5}

\csc \theta = \frac{-13}{12}

Since, \theta is in quadrant 3,

\tan \theta cannot be negative.

Therefore, the given statement cannot be true because tan theta is greater than zero in quadrant 3.

ANSWERED AT 29/01/2020 - 04:21 PM


QUESTION POSTED AT 29/01/2020 - 04:21 PM

Given a dilation with the origin O (0, 0), by observation determine the scale factor "K." D o,k = (6, 12) ---> (3, 6)

Given a dilation with the origin O (0, 0), by observation, the scale factor “K” would be ½. I am hoping that this answer has satisfied your query about and it will be able to help you, and if you’d like, feel free to ask another question.

ANSWERED AT 29/01/2020 - 04:18 PM


QUESTION POSTED AT 29/01/2020 - 04:18 PM

The order in which a data set is listed must be taken into account when calculating __________. A) the mean B) the median C) the mean and the mode D) the median and the mode

The correct answer among the choices listed above is option B. The order in which a data set is listed must be taken into account when calculating the median. It is the value that separates the higher and lower halves of a sample set that is why order is important in determining this value.

ANSWERED AT 29/01/2020 - 04:18 PM


QUESTION POSTED AT 29/01/2020 - 04:18 PM