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sveta [45]
3 years ago
15

(4, 2); slope = 3 How do you do this problem and show work

Mathematics
1 answer:
damaskus [11]3 years ago
6 0

Use the point-slope formula.

y - y_1 = m(x - x_1)

Let m = 3

Let y_1 = 2

Let x_1 = 4

We now plug and chug.

y - 2 = 3(x - 4)

y - 2 = 3x - 12

We now isolate y.

y = 3x - 12 + 2

y = 3x - 10

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Expanding triple brackets i will give brainliest!
swat32

Answer:

x^{3} -13x^{} -12

Step-by-step explanation:

(x+1) (x−4) (x+3)

= ((x+1)(x−4)) (x+3)

= ((x+1)(x−4)) (x)+((x+1)(x−4)) (3)

= x^{3} -3x^{2} -4x^{} +3x^{2} -9x^{} -12

= x^{3} -13x^{} -12

7 0
2 years ago
A 2 cm x 2 cm x 2 cm cube holds 468 grains of rice. How many grains of rice would fit in a box with
Amiraneli [1.4K]
Let the Volume of the first cube be V1

V1 = 2 * 2 * 2

= 8 cm*3


Let the Volume of the second cube be V2

V2 = 6 * 2 * 12

= 144 cm*3


Now, cube1 with volume of 8 cm*3 holds 468 grains of rice.

Thus, 1 cm*3 volume can hold 58.5 grains of rice ( 468 / 8 = 58.5)

Cube2 has volume of 144 cm*3.

Hence, it can hold 8424 grains of rice ( 144 * 58.5 = 8424)
4 0
3 years ago
X^2-3=5x simplify this
Alex Ar [27]
To simplify x^2-3 =5x

You would first subtract 5x from both sides

X^3-5x-3

Next you would plug this into the quadratic equation:

X=5+/- the square root of: -5^2 -4(1)(-3)/2(1)

Then simplify,
5+/- the squareroot of 24 + 12 / 2

5+/- The squareroot of 36 /2

5+/- 6 / 2

Then solve if it’s an addition or subtract

5+6/2

X=11/2 or 5 1/2

5-6/2

X= -1/2

The answer is x=-1/2 or x=11/2

Hope this helps

7 0
3 years ago
Jon drew a triangle with coordinates (5,1), (7,-2) and (3,-1) he drew an image of the triangle with the coordinates of (5,-1), (
stira [4]
Jon reflected over the x axis.

Reflecting over the x axis turns the y corrdinate into the opposite sign of the y coordinate. Here is the formula for that, if you want to take notes.

(x,y)—>(x,-y)

I hope this helped. Your answer to this question is D
7 0
2 years ago
Read 2 more answers
Find the 12th and 37th term for each arithmetic sequence.
shutvik [7]

Answer:

  3.  f(12) = -10; f(37) = -60

  4.  f(12) = -102; f(37) = -352

Step-by-step explanation:

3. Put the numbers in the formula and do the arithmetic:

  f(12) = 12 -2(12-1) = 12 -22 = -10

  f(37) = 12 -2(37-1) = 12 -72 = -60

__

4. The explicit formula for an arithmetic sequence with first term a1 and common difference d is ...

  an = a1 +d(n -1)

Your sequence has a first term a1=8 and a common difference d=-10.

As above, fill in the numbers and do the arithmetic.

  f(12) = 8 -10(12 -1) = -102

  f(37) = 8 -10(37-1) = -352

5 0
3 years ago
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