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Romashka-Z-Leto [24]
2 years ago
9

Which points are on the plane curve described by the following set of parametric equations? Select TWO

Mathematics
1 answer:
inna [77]2 years ago
5 0

ANSWER

(-1,5)

(7,5)

EXPLANATION

The given set of parametric equations is:

x = 4t + 3

and

y = 5 {t}^{2}

We make t the subject in the first equation to get:

t =  \frac{x - 3}{4}

We put this into the second equation to get;

y =5(  \frac{x - 3}{4} )^{2}

When x=-1,

y =5(  \frac{ - 1- 3}{4} )^{2}  = 5

Therefore (-1,5) lies on this line.

When x=7,

y =5(  \frac{7 - 3}{4} )^{2}  = 5

Therefore (7,5) also lie on this line.

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Should be choice 1 x being your slope and y your y- intercept

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Which polynomial could have the following graph?
zubka84 [21]
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Answer B
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Which shows an angle that is approximately 40°?<br><br><br> A.<br><br><br> B.<br><br><br> C.
umka21 [38]
It's the first image.
6 0
3 years ago
3x^2+kx=-3 What is the value of K will result in exactly one solution to the equation?
Scorpion4ik [409]

Answer:

For k = 6 or k = -6, the equation will have exactly one solution.

Step-by-step explanation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = (x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

If \bigtriangleup = 0, the equation has only one solution.

In this problem, we have that:

3x^{2} + kx + 3 = 0

So

a = 3, b = k, c = 3

\bigtriangleup = b^{2} - 4ac

\bigtriangleup = k^{2} - 4*3*3

\bigtriangleup = k^{2} - 36

We will only have one solution if \bigtriangleup = 0. So

\bigtriangleup = 0

k^{2} - 36 = 0

k^{2} = 36

k = \pm \sqrt{36}

k = \pm 6

For k = 6 or k = -6, the equation will have exactly one solution.

3 0
2 years ago
Back Next
emmasim [6.3K]

Answer:

C

Step-by-step explanation:

✔️First, solve for r:

r/2 ≤ 3

Multiply both sides by 2

r/2 × 2 ≤ 3 × 2

r ≤ 6

This implies that possible value of r is equal to 6 or less than 6.

Graphing this on a number line, the line with a shaded circle, indicating that 6 is included, starts at 6 and points to the left.

This indicates that value of r ranges from 6 and below.

The graph is C.

7 0
3 years ago
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