Find the intercepts for the graph of the equation 8x-4y=24. type an ordered pair for y and x

Answers

Answer 1
Answer: X - Intercept: 8x - 4y = 24
                   8x - 4(0) = 24
                       8x - 0 = 24
                            8x = 24
                             8      8
                              x = 3
                        (x, y) = (3, 0)

Y - Intercept: 8x - 4y = 24
                   8(0) - 4y = 24
                       0 - 4y = 24
                           -4y = 24
                            -4     -4
                              y = -6
                       (x, y) = (0, -6)
Answer 2
Answer:

Final answer:

The intercepts for the graph of the equation 8x-4y=24 are (0, -6) for the y-intercept and (3, 0) for the x-intercept.

Explanation:

To find the intercepts for the graph of the equation 8x-4y=24, we need to substitute 0 for x to find the y-intercept and substitute 0 for y to find the x-intercept.

For y-intercept:

8(0) - 4y = 24

-4y = 24

y = -6

So the y-intercept is (0, -6).

For x-intercept:

8x - 4(0) = 24

8x = 24

x = 3

So the x-intercept is (3, 0).

Thus, the graph has x & y intercepts as (3, 0) and (0, -6) respectively.

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Determine whether each relation represents a function. For each function, state the domain and range. 1) {(2,6), (-3,6), (4,9), (1,10)} 2) {(1,3), (2,3), (3,3), (4,3)} 3) {(-2,4), (-2,6), (0,3), (3,7)} 4) {(-2,4), (-1,1), (0,0), (1,1)}
Find the point that lies 1/8 of the way on the line A to B, given that A is at -14 and B is at 10.
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Divide £50.00 in the ratio of 1:4 SOMEBODY HELP!!!!

Rewrite this expression using the distributive property then simplify.
2/3(6x+12)

Answers

so distributive property of multiplication says
a(b+c)=(ab)+(ac)

so 2/3(6x+12)=((2/3)6x)+((2/3)12)=12/3x+24/3=4x+8=4(x+2)
2/3(6x+12)

=12/3x+24/3

=4x+8

The lateral area of a cone is 198.6 cm2. The diameter of the cone is 10.2 cm. Determine the height of the cone to the nearest tenth of a centimetre.

Answers

h= \frac{\sqrt{( (A_(L) )/(r))^(2) - ( \pi r)^(2)}}{ \pi } = \frac{\sqrt{( (198.6 )/(5.1))^(2) - ( \pi 5.1)^(2)}}{ \pi } = ~11.3cm

Final answer:

To find the height of the cone, we can use the formula for the lateral area of a cone and the Pythagorean theorem. The height of the cone is approximately 11.3 cm.

Explanation:

To find the height of the cone, we need to use the formula for the lateral area of a cone, which is given by:

Lateral Area = πrL

where r is the radius of the base and L is the slant height of the cone. Since the diameter of the cone is 10.2 cm, the radius is half of that, which is 5.1 cm. We can rearrange the formula and solve for L:

L = Lateral Area / (πr) = 198.6 cm² / (3.14 x 5.1 cm) ≈ 12.4 cm

Now that we have the slant height, we can use the Pythagorean theorem to find the height of the cone. The height (h) and the slant height (L) form a right triangle with the radius (r) as the hypotenuse. Applying the Pythagorean theorem:

h² + r² = L² = h² + (5.1 cm)² = (12.4 cm)²

From this equation, we can solve for h:

h² = (12.4 cm)² - (5.1 cm)²

After evaluating this equation, we find that h ≈ 11.3 cm, so the height of the cone is approximately 11.3 cm to the nearest tenth of a centimetre.

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Abcd is a rectangle. Find the length of each diagonal. .AC= 3y/5 BD=3y-4

Answers

Answer:

AC = BD = 1 unit

Step-by-step explanation:

 Given : length of diagonal of rectangle ABCD  AC=(3y)/(5) and BD=3y-4

We have to find the length of diagonal.

We know In rectangle diagonal are of equal lengths.

Therefore, for rectangle ABCD diagonals AC= BD

Substitute the values, we get,

(3y)/(5)=3y-4

Cross multiply , we get

3y=5(3y-4)

On simplyfy , we get

3y=15y-20

Solve for y , we get

15y-3y=20

12y=20

Divide both side by 12, we get,

y=(20)/(12)=(10)/(6)

Thus, put the values of y in AC and BD to find the length of diagonals , we get,

AC=(3y)/(5)=(3)/(5)*(10)/(6)=1

Similarly for BC, we get,

BD=3y-4=3((10)/(6))-4=5-4=1

Thus, AC = BD = 1 unit

I hope this helps you

Suppose a triangle has sides 3, 4, and 6. Which of the following must be true? A. The triangle in question is a right triangle. B. The triangle in question is not a right triangle. C. The triangle in question may or may not be a right triangle.

Answers

We can use the Pythagorean theorem:
c² = a² + b²
In this case:
6² = 3² + 4²
36 = 9 + 16
36 = 25  ( not correct )
This is not a right triangle.
Answer:
B ) The triangle in questionis not a right triangle.

Answer:

not a right triangle

Step-by-step explanation:

Step 1: pick a number step 2: double it
step 3: add 5
step 4: multiply by 50
step 5: if you've had your birthday this year ,add 1764,or,if you've not yet had your birthday this year ,add 1763
step 6: subtract the year of your birth
you should end up with a number which is a combination of the number you started with followed with your age. for example ,if you are 12 and you start with the number 27, the result should be 2712.
your task :
1. let n represent the number in step 1 and show what happens through step 6.
2. explain why the result is always the original number followed by your age. What would be the expression I would use?

Answers

if I pick n, it becomes 50(2n+5)+1764-2001 this is the expression

Which pair shows equivalent expressions? 3 (x + 2) = 3 x + 6 3 x + 2 x = x squared (3 + 2) 3 x + 2 = 3 (x + 2) Negative 3 (2 + x) = negative 6 x minus 3

Answers

Answer:

The first pair shows equivalent expressions.

Step-by-step explanation:

3(x+2), you would have to distribute 3 among x and 2, also known as expanding the expression. So you'd do 3*x + 3*2, which equals 3x+6

The first equation is 3(x+2)=3x+6

Therefore, the first pair shows equivalent expressions.

Answer: the answer is a.3 (x + 2) =

Step-by-step explanation: because when opening the equation u multiply 3 times x and 3 times 2 so the final aswer is 3x+6