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Andrej [43]
3 years ago
8

Suppose parametric equations for the line segment between (6,9) and (0,0) have the form: x = a+bt y = c+dt If the parametric cur

ve starts at (6,9) when t=0 and ends at (0,0) at t=1, then find: a = b = c = d =
Mathematics
1 answer:
olasank [31]3 years ago
6 0

What is 0.05 Equal to 0.5.

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An ordinary single die is thrown. Find the probability that an even number is the outcome.
Nikolay [14]
You will have a 3:6 probability of getting an even number
7 0
3 years ago
Which statements can be used to describe the original functions f(x) and g(x)? Select three options. (See picture attached) PLEA
NeX [460]

Answer:

THE THIRD ONE

Step-by-step explanation:

6 0
3 years ago
How do u convert a fraction into a decimal
lesya692 [45]
You have to divide the numerator (top number) by the denominator (bottom number). For example, 1/2 is 0.5
However, some end up as never-ending decimals, like 1/3, which converts to 0.333 repeating.
3 0
3 years ago
Find the value of k for which the line y = kx + 6 is a tangent to the curve x^2 + y^2 – 10x + 8y = 84
guajiro [1.7K]

Answer:

k = 1/2

Step-by-step explanation:

input y = kx +6 into the equation of the curve x² + y² – 10x + 8y = 84

x² + (kx + 6)² - 10x + 8(kx + 6) = 84

expand:

x² + k²x² + 12kx + 36 - 10x + 8kx + 48 = 84

simplify by collecting like terms:

x² + k²x² + 20kx - 10x + 84 = 84

subtract 84 on both sides to bring it to the left:

x² + k²x² + 20kx - 10x + 84 - 84 = 0

x² + k²x² + 20kx - 10x = 0

factorise out x:

x²(1 + k²) + x(20k - 10) = 0

using the discriminant b² - 4ac where b is 20k - 10, a is 1 + k² and c is 0, substitute them in the formula b² - 4ac:

b² - 4ac

(20k - 10)² - 4(1 + k²)(0) = 0

the part highlighted in bold is gone because it's all multiplied by 0, so we are left with (20k - 10)² = 0

(20k - 10)² is the same as

(20k - 10)(20k - 10)

equate both to 0

20k - 10 = 0 and 20k - 10 = 0

add 10 on both sides

20k = 10 and 20k = 10

divide 20 on both sides

k = 10/20 and k = 10/20 which are both the same

10/20 is simplified to 1/2

k = 1/2

5 0
2 years ago
Almost done. I need help with this part
valentina_108 [34]

Answer:

\%Percent = 14.3\%

Step-by-step explanation:

Required

15 is what percentage of 105

To do this, simply divide 15 by 105 multiplied by 100%.

So, we have:

\%Percent = \frac{15}{105} * 100\%

\%Percent = \frac{15*100}{105}\%

\%Percent = \frac{1500}{105}\%

\%Percent = 14.3\% --- approximated

8 0
3 years ago
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