Any line with no slope is parallel to the x-axis y-axis line y = x If the point (a,3) lies on the graph of the equation 5x + y = 8, then a= 1 -1 -7

Answers

Answer 1

Answer: Any line with no slope is parallel to the

THE ANSWER IS x-axis

Any line parallel to the x-axis has zero slope since there is no rise in the coordinates. The slope is equal to rise over run which means if there is no rise, the slope is zero.

If the point (a,3) lies on the graph of the equation 5x + y = 8, then

THE ANSWER IS a = 1

Simply substitute 3 to y, and solve for x:
5x + 3 = 8
5x = 8 - 3
5x = 5
x = 1

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I am about to fail this math class. I would like to verify that my answers are right. Please help.Find the distance from the given point to the vertical axis.
(7, −6)

Determine the value of k such that the points whose coordinates are given lie on the same line.
(k, 0), (0, −1), (10, −11)

Find the slope of the line containing the given points.
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Find the equation of the line that passes through the midpoint of the line segment between
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Suppose a ball is being twirled at the end of a string and the center of rotation is the origin of a coordinate system. If the string breaks, the initial path of the ball is on a line that is perpendicular to the radius of the circle. Suppose the string breaks when the ball is at the point whose coordinates are P(3, 9). Find the equation of the line on which the initial path lies

During one month, a homeowner used 500 units of electricity and 100 units of gas for a total cost of $331. The next month, 400 units of electricity and 250 units of gas were used for a total cost of $326. Find the cost per unit of gas.

Answers

Answer:

1) 7 2) (-1,0) 3) m=-4 4) y=3x-4 5) y=x+6 6)

g(x)=-1/3x+10 7) y= $0.36

Step-by-step explanation:

These questions are all about Cartesian Geometry.

1) The Distance from point (7,-6) to vertical axis (0,-6) is measured with a straight line, between point (7,-6) and nearer point (0,-6)

d=|7-0|=7

2) To determine the value of k, let's determine the function with the two known points: (0, −1), (10, −11).

$m=(y_(2)-y_(1))/(x_(2)-x_(1))\Rightarrow m=(-11+1)/(10-0)\Rightarrow m=-1\n-11=-1*(10)+b\therefore b=-1\Rightarrow f(x)=-x-1\nf(k)=-k-1\n0=-k-1\therefore k=-1$

So (k,0)=(-1,0)

3) To find the slope of the line, we must apply that formula used above.

$m=(y_(2)-y_(1))/(x_(2)-x_(1))\Rightarrow m=(7+9)/(1-5)\Rightarrow m=(16)/(4)=-4$

4) To find the equation of the line which the midpoint (2,2) since Midpoint is given by

$Midpoint=((x_(1)+x_(2))/(2)+(y_(1)+y_(2))/(2))\n$

And the slope is 3, then m=3. Notice the formula is the same to calculate the slope, but we will only pick one point. Since (2,2) ∈ to the function let's use this point, as initial value (x0,y,0)

$m(x-x_(0))=y-y_(0)\n3(x-2)=y-2\n3x-6=y-2\Rightarrow 3x-y=6-2\Rightarrow -y=4-3x\Rightarrow y=3x-4$

5) Similarly to the previous one:

$m(x-x_(0))=y-y_(0)\n(x-0)=y-6\nx=y-6\Rightarrow -y=-x-6\Rightarrow y=x+6$

6) A ball being twirled. The center of the rotation is the origin of Coordinate System (0,0) when the string breaks at point (3,9)

If the line was straight from the origin to point (3,9) $m=(9-0)/(3-0)\Rightarrow m=3\therefore 9=3(3)+b\Rightarrow b=0\Rightarrow f(x)=3x$

But the point (3,9) ∈ to a tangent line to the circumference described by the twirling.

Since it is perpendicular instead of m=3 it is -1/m i.e. -1/3, also the circumference intercepts the y-axis in ≈10

g(x)=-1/3x+10

7) In this case, we must also find the function.

x=units of electricity, y=units of gas |

500x+100y=331

400x+250y=326

The cost per unit of gas is y. Finding out the unit value for y

$100y=331-500x\rightarrow y=(331-500x)/(100)\n500x=331-100y\nx=(331-100y)/(500)\n400((331-100y)/(500))+250y=326\n52.96-80y+250y=326\Rightarrow y=(9)/(25) \,and \,x=(59)/(100)$

This figure shows the nose cone of a rocket used for launching satellites. The nose cone houses the satellite until the satellite is placed in orbit. What is the volume of the nose cone?45 cubic feet
60 cubic feet
90 cubic feet
180 cubic feet

Answers

see the attached figure to better understand the problem

we know that

The volume of the cone is equal to

$V=(1)/(3) \pi r^(2) h$

in this problem

$r=(6)/(2) =3\ ft\n \n h=15\ ft$

Substitute the values in the formula above

$V=(1)/(3)* \pi* 3^(2)* 15\n \n V=45\pi \ ft^(3)$

therefore

the answer is

The volume of the nose cone is $45\pi \ ft^(3)$

The formula to get the volume of a cone is
V = (1/3)πr²h
where V is the volume
r is the radius at the base
h is the height

No values are given but simple substitution should give the correct answer.

In triangle TUV, Y is the centroid. If YW=30, what is TY?

Answers

Answer:

TY = 60

D is correct

Step-by-step explanation:

In triangle TUV, Y is the centroid.

As we know the centroid of the triangle is divides median into 1:2 ratio. The ratio is length of median from centroid to the side to length of median to opposite vertex.

Therefore, WY:TY = 1:2

$(WY)/(TY)=(1)/(2)$

where, WY=30

$(30)/(TY)=(1)/(2)$

$TY=2* 30$

$TY=60$

Hence, The length of TY is 60

TY=15 because the points bisect each other

Please solve!!

Helppppp

Answers

5/1024, 5/4096

The pattern is it times by itself then the next.
For ex, 4•4=16, 4•16=64 and so on

Hello! My name is Chris and I’ll be helping you with this problem.

Date: 9/27/20 Time: 9:15 pm CST

Answer:

5/1024, 5/4096

Explanation:

So we can see that the pattern is 4 x the denominator

So we continue this pattern, 256 x 4 = 1024, 1024 x 4 = 4096

I hope this helped answer your question! Have a great rest of your day!

Furthermore,

Chris

The domain of a quadratic function is all real numbers and the range is y ≤ 2. How many x-intercepts does the function have?

Answers

Answer:

The number of x-intercepts of the function are:

Two(2)

Step-by-Step explanation:

The domain of a quadratic function is all real numbers and the range is y ≤ 2.

i.e. the graph of this quadratic polynomial will be a downward parabola whose vertex has y-coordinates less than or equal to 2.

Also we know that any upward or downward facing parabola have two x-intercepts i.e. the parabola crosses the x-axis at two points i.e. the y-coordinates of those two points are zero.

Hence, the number of x-intercepts of the function is:

Two(2)

Answer:

2 just took it :)

Step-by-step explanation:

PLS HELP ME LESSON 12.03: PLOT TWISTS 1. Use the data set provided to create a line plot. i really need help

Answers

Hence, in answering the stated questiοn, we may say that If yοu're unitary methοd satisfied with yοur line plοt, save it and distribute it as needed.

What is unitary methοd?

The unit technique is a prοblem-sοlving apprοach that invοlves finding the value οf a single unit and then multiplying that value by the needed value. Tο put it simply, the unit technique is used tο extract a single unit value frοm a given multiple. 40 pens, fοr example, wοuld cοst 400 rupees, οr the cοst οf οne pen. The prοcess fοr achieving this may be standardized. A single cοuntry. anything that has an identity element. Its adjοint and reciprοcal are equal in mathematics and algebra.

a general methοd fοr prοducing a line plοt:

First, cοllect yοur data. Stοck prices, temperature readings, and survey results are all examples οf this. The crucial thing is that yοu have a set οf values tο plοt οn a graph.

Enter yοur x and y values intο the plοt. The exact prοcedure depends οn the graphing prοgrammed yοu're using, but yοu shοuld be able tο enter yοur values intο a data table οr spreadsheet.

Make any changes yοu want tο yοur plοt. Adding labels tο the x and y axes, tweaking the plοt's scale, changing the line cοlοur οr thickness, οr adding a title are all pοssibilities.

If yοu're satisfied with yοur line plοt, save it and distribute it as needed.

To know more about unitary method visit:

brainly.com/question/28276953

#SPJ1

Complete question:

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