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Pavlova-9 [17]
3 years ago
7

Write the equation for a line that passes through the point (2,5) and a slope of m =10 in point slope form

Mathematics
2 answers:
wlad13 [49]3 years ago
8 0

Answer:

y=10x-15

Step-by-step explanation:

with the points given you know x=2 and y=5

make a new point called (x,y)

now use the formula (y-5)/(x-2)=10 (10 being the gradient)

y-5 = 10(x-2)

y-5=10x-20

add 5 to both sides

y-5+5=10x-20+5

y=10x-15

Tatiana [17]3 years ago
7 0

Since we're given a point and a slope, we can write

the equation of this line using the point-slope formula.

The point-slope formula is shown at the top of the image below.

The given point, (2,5), represents (x1,y1).

Now plug in the information to get the equation below.

Now you can distribute the 10.

Then add 5 to both sides.

You will end up with the equation y = 10x - 15 as your answer.

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The box plots below show student grades on the most recent exam compared to overall grades in a class:
777dan777 [17]

The statement that best describes the information about the medians would be: the class median and exam median are almost the same.

<h3>Median of a Data Set on a Box Plot</h3>
  • The median of any data distribution that is plotted on a box plot is indicated by the vertical line that divides the rectangular box in the box plot.

Thus:

  • The median for class is 84
  • The median for exam is 85.

Therefore, the statement that best describes the information about the medians would be: the class median and exam median are almost the same.

Learn more about Box Plot on:

brainly.com/question/10209877

3 0
2 years ago
NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Arisa [49]

Answer:

y = 8x

Step-by-step explanation:

Since slope is 8/1 which is equal to 8 and x-intercept is 0.

Put these in slope-intercept equation i.e  y = mx + b

6 0
3 years ago
Read 2 more answers
Evan lives in Stormwind City and works as an engineer in the city of ironforge in the morning he has three Transportation option
denis-greek [22]

Answer:

The probability that he teleports at least once a day =  \mathbf{\frac{5}{9}}

Step-by-step explanation:

Given -

Evan lives in Stormwind City and works as an engineer in the city of ironforge in the morning he has three Transportation options teleport ride a dragon or walk to work and in the evening he has the same three choices for his trip home.

Total no of outcomes = 3

P( He not choose teleport in the morning ) = \frac{2}{3}

P( He not choose teleport in the evening ) = \frac{2}{3}

P ( he choose teleports at least once a day ) = 1 - P ( he not  choose teleports in a day )

                                                         = 1 - P( He not choose teleport in the morning ) \times P( He not choose teleport in the evening )

                                          =  1 - \frac{2}{3}\times\frac{2}{3}

                                           =  \frac{5}{9}

3 0
3 years ago
A field is a rectangle with a perimeter of 1240 feet. The length is 400 feet more than the width. Find the width and length of t
Wewaii [24]

Answer:  The length is 510 and the width is 110.

Step-by-step explanation:

To find the area of a rectangle, you will have to add the 2 times the length plus 2 times the width because  a rectangle have 4 sides. Two widths and two  lengths.

You can now use the formula  P= 2l + 2w  

were P is the perimeter , l is the length, and w is the width.

the length is 400 more than the width, so we can represent that by the equation,  l = w + 400  

And now we know that the width is w.

So now we will input the perimeter, length, and into the formula to solve for w.

1240 = 2(w + 400) + 2w

1240 = 2w + 800 + 2w

1240 = 4w + 800

-800            -800

   440 = 4w

    w = 110

L= 110 + 400

L = 510  

Check :

1240 = 2(510) + 2(110)

1240 = 1020 + 220

1240 = 1240

5 0
3 years ago
Which products result in a perfect square trinomial? Select three options.
Kazeer [188]

Answer:

Second option: (xy+x)(xy+x)

Third option: (2x-3)(-3+2x)

Fifth option: (4y^2+25)(25+4y^2)

Step-by-step explanation:

By definition, a perfect square trinomial can be obtained by squaring binomials.

Then:

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

Knowing this, to obtain a perfect square trinomial, the binomials that you multiply must be equals.

Therefore, the products result in a perfect square trinomial are:

(xy+x)(xy+x)=(xy+x)^2=(xy)^2+2(xy)(x)+x^2=x^2y^2+2x^2y+x^2

(2x-3)(-3+2x)=(2x-3)^2=(2x)^2-2(2x)(3)+3^2=4x^2-12x+9

(4y^2+25)(25+4y^2)=(4y^2+25)^2=(4y^2)^2+2(4y^2)(25)+25^2=16y^4+200y^2+625

8 0
3 years ago
Read 2 more answers
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