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.
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.
Learn more about Intercepts here:
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2/3(6x+12)
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.
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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Answer:
AC = BD = 1 unit
Step-by-step explanation:
Given : length of diagonal of rectangle ABCD and
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,
Cross multiply , we get
On simplyfy , we get
Solve for y , we get
Divide both side by 12, we get,
Thus, put the values of y in AC and BD to find the length of diagonals , we get,
Similarly for BC, we get,
Thus, AC = BD = 1 unit
Answer:
not a right triangle
Step-by-step explanation:
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?
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