Draw each pair of line?

QUESTION POSTED AT 15/01/2020 - 03:11 AM

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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

Which of the following is an example of perpendicular lines? I'm thinking it's B, but not sure

Answer:

Second figure is an example of perpendicular lines.

Step-by-step explanation:

The perpendicular lines are those that forms 90^{\circ} at the base of the vertical line.

The straight lines denotes the  90^{\circ} angle

The first figure is not correct both are intersecting tilted lines.

The second figure is correct since they form right angle that is 90^{\circ} angle.

The third figure is again tilted lines hence, not correct.

The fourth figure is again tilted lines hence, not correct.

therefore, second figure is correct.

ANSWERED AT 29/01/2020 - 05:35 PM


QUESTION POSTED AT 29/01/2020 - 05:35 PM

What is the equation of a line that is perpendicular to y=3x-2 and passes through the point (6,8)

Answer:

APEX - y = -1/3x +10

Step-by-step explanation:

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


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

What is the point-slope equation of the line with slope -13 that goes through the point (5,7)

Point slope formula: 
y-y_1=m(x-x_1)

We know that:
m=-13 
y1=7
x1=5
Plug those into the equation to get a final answer of:
y-7=-13(x-5)

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


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

Point P (-3,-1) is the preimage. Point P’(3,-1) is the image after a reflection is performed. Give the line of reflection.

Answer with explanation:

⇒Position of Pre image = P (-3,-1)

This point  is lying in third Quadrant.

⇒Position of Image = P'(3, -1)

This Point is Lying in Fourth Quadrant.

The Preimage(-3, -1) is reflected along Negative Y axis to get Image (3,-1).

So, Line of Reflection = Y axis

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


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

Find the slope of the line whose equation is 15 + 3x = 2y.

15+3x=2y
2y=3x+15
y= \frac{3}{2} x+ \frac{15}{2}
Gradient, m=  \frac{3}{2}

ANSWERED AT 29/01/2020 - 05:22 PM


QUESTION POSTED AT 29/01/2020 - 05:22 PM

Nina knows that the average of the x-intercepts represents the line of symmetry for a quadratic function through the x-axis. Which equation represents the average of the x-intercepts for f(x) = 4x2 – 24x + 20?

To get the x-intercepts of the function, f(x) = 4x2 – 24x + 20

It has to be equated to zero and the values of x are the x-intercepts. So,

4x2 – 24x + 20 = 0

The resulting equation is a quadratic equation which can be solved by different methods. The solution is

x = 5, 1

The average therefore is:

(1+5/)2 = 3

ANSWERED AT 29/01/2020 - 05:22 PM


QUESTION POSTED AT 29/01/2020 - 05:22 PM

The point (2, –4) is reflected across the line y = –1. What are the coordinates of the image? A.(–5, –4) B.(–4, 2) C.(2, 2) D.(2, 4)

Hint:
r_{y=k): (x,y)->(x,-(y-k)+k)
or simplified,
r_{y=k): (x,y)->(x,2k-y)

So in this case, k=-1, x=2, y=-4
(2,-4) -> (2, 2(-1)-(-4)
(2,-4) -> (2, -2+4)
(2,-4) -> (2, 2)

ANSWERED AT 29/01/2020 - 05:19 PM


QUESTION POSTED AT 29/01/2020 - 05:19 PM

Which statement describes the graph of the system of equations below? 1.5x + 0.2y = 2.68 1.6x + 0.3y = 2.98 The lines are parallel. The lines overlap at all points. The lines intersect at (1.6,1.4). The lines intersect at (3.1,0.5).

1.5x + 0.2y = 2.68....multiply by 0.3
1.6x + 0.3y = 2.98...multiply by - 0.2
------------------------
0.45x + 0.06y = 0.804 (result of multiplying by 0.3)
- 0.32x - 0.06y = - 0.596 (result of multiplying by - 0.2)
----------------------add
0.13x = 0.208
x = 0.208/0.13
x = 1.6

1.5x + 0.2y = 2.68
1.5(1.6) + 0.2y = 2.68
2.4 + 0.2y = 2.68
0.2y = 2.68 - 2.4
0.2y = 0.28
y = 0.28/0.2
y = 1.4

solution (they intersect at) (1.6,1.4)

ANSWERED AT 29/01/2020 - 05:18 PM


QUESTION POSTED AT 29/01/2020 - 05:18 PM

The point (2, –4) is reflected across the line y = –1. What are the coordinates of the image? A.(–5, –4) B.(–4, 2) C.(2, 2) D.(2, 4)

The coordinates of the image are : C ) ( 2, 2 )

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


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

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

For the line y=2/3x , if the coordinate is 14 , what is the x-coordinate?

Y = 2/3 x

if y = 14
14 = 2/3 x
x = (14*3) / 2
x = 42 / 2
x = 21

ANSWERED AT 29/01/2020 - 04:59 PM


QUESTION POSTED AT 29/01/2020 - 04:59 PM

The slope fo the line is 3 y intercept is (0-3) ehat is the slope intercept equation for the line?

The answer is y=3x-3

ANSWERED AT 29/01/2020 - 04:53 PM


QUESTION POSTED AT 29/01/2020 - 04:53 PM

(?,5) is on the line 4x - 7y = 1. find the other half of the coordinate.

4x - 7y = 1

if y = 5
4x - (7*5) = 1
4x - 35 = 1
4x = 36
x = 9

other coordinate is 9

ANSWERED AT 29/01/2020 - 04:46 PM


QUESTION POSTED AT 29/01/2020 - 04:46 PM

Lisa has only nickels and dimes in her money box. She knows that she has less than $15 in the box. Let x represent the number of nickels in the box and y represent the number of dimes in the box. Which of the following statements best describes the steps to graph the solution to the inequality in x and y? Draw a dashed line to represent the graph of 5x + 10y = 1500 and shade the portion below the line for positive values of x and y. Draw a dashed line to represent the graph of 5x + 10y = 1500 and shade the portion above the line for positive values of x and y. Draw a dashed line to represent the graph of 10x + 5y = 1500 and shade the portion above the line for positive values of x and y. Draw a dashed line to represent the graph of 10x – 5y = 1500 and shade the portion below the line for positive values of x and y.

Convert dollars into cents to get a constant unit for the variables listed:

\text{100 cents in a dollar}
15 \times 100 = 1500

We now have the following values:

\text{Nickel = 5 cents}
\text{Dime = 10 cents}
\text{Amount in box = 1500 cents}

Because there are multiple nickels and dimes in the box, give them variables:

\text{Amount of nickels = x}
\text{Total value of nickels = 5x}

\text{Amount of dimes = y}
\text{Total value of dimes = 10y}

Since we are determining the total value of both nickels and dimes in the box, we will add them together to total the value of the box:

5x + 10y = 1500

The question states that Lisa has less than $15, or 1500 in the box. The inequality will now read as follows:

5x + 10y \ \textless \  1500

When graphed, the shaded part of the graph will be below the line, as it represents all values of x and y that would result in an output under 1500.

The answer is "Draw a dashed line to represent the graph of 5x + 10y = 1500 and shade the portion below the line for positive values of x and y.".

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


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

How are scale drawings used in everyday life?

One of the most useful cases where scaling is very important is through the use of Maps. May it be a city map, country map, or world map, it won't be practical to draw the map with the real measurements of the streets, etc. That is why their are drawn to scales. 

ANSWERED AT 29/01/2020 - 04:32 PM


QUESTION POSTED AT 29/01/2020 - 04:32 PM

A blimp provides aerial television views of a football game. The television camera sights the stadium at a 7 degree angle of depression. The altitude of the blimp is 400 m. What is the line-of-sight distance from the television camera to the case of the stadium? Round to the nearest hundred meters.

Looks like sin is best here

sin (7) = opp / hyp
sin (7) = 400 / x
x sin (7) = 400
x = 400 / sin (7)

So we need to get the value of x.

x = 400 / sin (7)
x = 400 / 0.1218
x = 3284.07

Roughly, the correct answer is 3284.1 meters

ANSWERED AT 29/01/2020 - 04:32 PM


QUESTION POSTED AT 29/01/2020 - 04:32 PM

Line a in parallel to b, m

Does this question have a picture ?

ANSWERED AT 29/01/2020 - 04:26 PM


QUESTION POSTED AT 29/01/2020 - 04:26 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