All categories

3 years ago

What is the equation in point slope form of the line that passes through the point (2,6) and has slope of 5?

Mathematics

2 answers:

Semenov [28]3 years ago

8 0

i know its b because i took the test

sleet_krkn [62]3 years ago

5 0

Firstly, you can use the slope and the first point to find a second point:
2 + 1 = x2 and 6 + 5 = y2 because the slope is 5/1.
Next you can write the equation in point-slope form (remember point-slope form is y - y1 = m(x - x1):
y - 11 = 5(x - 3)
Another equation would be B because B is the correct equation if you choose 2 as x2 and 6 as y2.
Hope this helps!

You might be interested in

Which of the following are true statements?

MArishka [77]

Answer: Option A and Option B.

Step-by-step explanation:

You need to remember the logarithms properties:

$log(a)+log(b)=log(ab)\\\\log(a)-log(b)=log(\frac{a}{b})\\\\log(a)^b=b*log(a)$

You can observe in Option A:

$logM^p=p*logM$ (This is true)

You can observe in Option B:

$logM+logN=log(MN)$ (This is true)

You can observe in Option C:

$logM-logN=log(M-N)$ (This is not true)

You can observe in Option D:

$(logM)^p=p*logM$ (This is not true)

6 0

3 years ago

Given the quadratic equation below, determine which situation it could represent. x^2-4x=60

Natasha_Volkova [10]

Answer:

C. In a meeting room for a business event, there are 4 fewer chairs laid out in each row than the number of rows. The total number of chairs in the room is 60.

Step-by-step explanation:

To find the total number of chars, we multiply the number of rows by the number of chairs in each row.

Let the number of rows be x. There are 4 fewer chairs in each row than the number of rows; this gives us (x-4). Together, this gives us

x(x-4).

We know there are 60 chairs; this gives us

x(x-4) = 60

Using the distributive property,

x(x)-4(x) = 60

x²-4x = 60

5 0

3 years ago

If you read 373 words per minute how many words do you read per second?

ZanzabumX [31]

Answer:

About 6 words per second

Step-by-step explanation:

You have to divide 373 words by 60 seconds giving you 6.21666667 which you then have to round down to 6 words per second.

7 0

3 years ago

Read 2 more answers

A rectangular plot of ground is 5 meters longer than it is wide, It’s area is 20,000 square meters

Artyom0805 [142]

I'm assuming you're looking for the dimensions of the plot. I'm going with that. ;) If the length of the plot is 5 meters longer than the width, then L = w + 5. The area for a rectangle is L*w, and we have an area value of 20,000 so our formula is 20000=(w+5)(w) and $20,000=w^2+5w$ . We will bring the 20,000 over by subtraction and set the polynomial equal to 0 to factor and solve for w. $w^2+5w-20,000=0$ Solving for w we get values of w=138.9 and -143.9. Of course the 2 things in math that will never EVER be negative are time and distance/length, so -143.9 is out. Our width is 138.9 and the length is 138.9 + 5 so the length is 143.9. And there you go! Hope that's what you needed!

8 0

3 years ago

A prop for the theater club’s play is constructed as a cone topped with a half- sphere. What is the volume of the prop? Round yo

san4es73 [151]

The volume of the prop is calculated to be 1,875.6 cubic cm.

Step-by-step explanation:

Step 1; The prop consists of a cone and a half-sphere on top. We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2; The volume of a cone is determined by multiplying $\frac{1}{3}$ with π, the square of the radius (r²) and height (h). Here we substitute π as 3.14. The radius is 8 cm and the height is 12 cm.

The volume of the cone = $\frac{1}{3}$ × 3.14 × 8 × 8 × 12 = 803.84 cubic cm.

Step 3; The area of a half-sphere is half of a full sphere. The volume of a sphere is given by multiplying $\frac{4}{3}$ with π and the cube of the radius (r³). Here the radius is 8cm. We take π as 3.14.

The volume of a full sphere = $\frac{4}{3}$ × 3.14 × r³ = $\frac{4}{3}$ × π × 8³ = 2,143.5733 cubic cm.

The volume of a half-sphere = $\frac{ 2,143.5733}{2}$ = 1,071.7866 cubic cm.

Step 4; The total volume = The volume of the cone + The volume of the half sphere,

The total volume = 803.84 cubic cm + 1,071.7866 cubic cm = 1,875.6266 cubic cm. By rounding this off to the nearest tenth we get 1,875.6 cubic cm.

4 0

4 years ago