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Romashka-Z-Leto [24]
3 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]3 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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A 15-foot ladder is leaning against a house. The bottom of the ladder is 9 feet away from the base of the house. How far up the
vitfil [10]

Answer:

Step-by-step explanation:

The ladder forms a right angle triangle with the building and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height, h from the top of the ladder to the base of the house represents the opposite side of the right angle triangle.

The distance from the foot of the ladder to the base of the house represents the adjacent side of the right angle triangle.

To determine the height, h that the ladder reaches, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

15² = 9² + h²

225 = 81 + h²

h² = 225 - 81 = 144

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3 years ago
What is the slope of the line?
Oduvanchick [21]

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rise over run

Step-by-step explanation:

how much it goes up over how far it goes to the side

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3 years ago
Write 2.7 x 10^4 + 120 in scientific notation.
ryzh [129]

Hey there!

2.7 * 10^4 + 120

10^4

= 10 * 10 * 10 * 10

= 100 * 100

= 10,000

2.7 * 10,000 + 120

= 27,000 + 120

= 27,120

Therefore, your answer is. [10,000 * 2.712] because 10,000 * 2.712 is approximately 27,120

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

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2 years ago
Can someone help me with this geometry question please 100% correct only
Brums [2.3K]
The correct answer is a (8^3) because you write out 8 being multiplied 3 times, which is the correct answer

8 0
3 years ago
Read 2 more answers
Need answers before 8pm!!
GaryK [48]

We have similar triangles so

12/x = (12+78)/(x+13)

We can skip some algebra by doing the ratio on the pieces.  We'll show it works at the end.

12/x = 78/13

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We check

12/2 = 6

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Answer: x=2

8 0
3 years ago
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