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rjkz [21]
3 years ago
8

A student writes the equation for a line that has a slope of -6 and passes through the point (2, –8). y -(-8) = -6(x - 2) y -(-8

) = -6x + 12 y -(-8) + 8 = -6x + 12 + 8 y = -6x + 20 Explain why the work is not correct.
Mathematics
2 answers:
Mice21 [21]3 years ago
6 0
Y - (-8) = -6 (x-2) is correct everything else is not
y + 8 = -6x + 12
y +:8 - 8 = -6x + 12 - 8
y = -6x + 4 is slope intercept form
Zarrin [17]3 years ago
4 0

Answer:

The student should have simplified the equation to have y + 8 on the left.

Then, the student should have subtracted 8 from both sides of the equation.

The value of b should be 4, not 20.

Step-by-step explanation:

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What is the solution to sqrt 17-x=x+3? Show your work.
snow_lady [41]

Answer:

x=1

Step-by-step explanation:

Remember:

(\sqrt[n]{a})^n=a\\\\(a+b)=a^2+2ab+b^2

Given the equation \sqrt{17-x}=x+3, you need to solve for the variable "x" to find its value.

You need to square both sides of the equation:

(\sqrt{17-x})^2=(x+3)^2

17-x=(x+3)^2

Simplifying, you get:

17-x=x^2+2(x)(3)+3^2\\\\17-x=x^2+6x+9\\\\x^2+6x+9+x-17=0\\\\x^2+7x-8=0

Factor the quadratic equation. Find two numbers whose sum be 7 and whose product be -8. These are: -1 and 8:

(x-1)(x+8)=0

Then:

x_1=1\\x_2=-8

Let's check if the first solution is correct:

\sqrt{17-(1)}=(1)+3

4=4 (It checks)

Let's check if the second solution is correct:

\sqrt{17-(-8)}=(-8)+3

5\neq-5 (It does not checks)

Therefore, the solution is:

x=1

3 0
3 years ago
Please solve fast, easy question
DochEvi [55]

Answer:

I think its C

Step-by-step explanation:

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6 0
3 years ago
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8x = 2 write down the value of x
vodomira [7]

x = 0.25

Step-by-step explanation:

8x = 2

x = 2/8

x = 0.25

6 0
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Can you please help for 10 points
VARVARA [1.3K]

Hello!

First of all, we can see that our y-intercept is 0. As you can see, for every 1 x value, we have 3 y values. We divide, giving us a slope of 3.

Therefore, our equation is y=3x.

I hope this helps!

7 0
3 years ago
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The old building at the back of the school is badly in need of repair. the company Hsa and the executive are planning to renovat
lisabon 2012 [21]

Answer:

a. If the area of the tiles is greater than or equal to the area of all the rooms.

b. 24

c. 360

Step-by-step explanation:

a. Explain how you would estimate whether Ted has enough tiles to cover all the kitchen floors in the entire apartment building?

Ted would have enough tiles if the  area of the tiles is greater than or equal to the area of all the rooms. Since we have 500 one meter square tiles, we have 500 m² of tiles.

Since the rooms are 6 m long and 4 m wide, the area of each room is 6 m × 4 m = 24 m². Since there are 15 rooms, the area of all the rooms is 15 × 24 m² = 360 m².

Since the area of the tiles = 500 m² is greater than the area of the rooms = 360 m², Ted would have enough tiles to cover all kitchen floors in the entire apartment building.

b. How many tiles, each measuring 1 square meter, are needed to cover one room floor?

Since the area of each room floor is 24 m² and the area of each tile is 1 m², so the number of  1 square meter tiles needed to cover each floor is n = area of floor/area of tile = 24 m²/1 m² = 24.

c. How many tiles are needed to cover all the floors in the entire building?

Since 24 tiles are needed to cover each floor and there are 15 rooms in the building, we would require 24 tiles/room × 15 rooms/building = 360 tiles.

So we require 360 tiles.

4 0
3 years ago
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