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liraira [26]
3 years ago
5

[URGENT]

Mathematics
1 answer:
Blizzard [7]3 years ago
5 0

When you write URGENT the Brainly cops think you may be taking a test.

y = ax² + c thru (-1,4) and (0,8)

Substituting in the coordinates of each point for x and y gives two equations:

4 = a  (-1)² + c

8 = a (0²) + c = c

From the second one we see c=8.  Substituting into the first one,

4= a + 8

a = 4-8 = -4

Answer: a=-4, c=8

Check:

f(x) = -4x² + 8

f(0) = 8, good

f(-1) = -4(1) + 8 = 4, good

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4. will give brainliest
saul85 [17]

The equation of the ellipse in <em>standard</em> form is (x + 3)² / 100 + (y - 2)² / 64 = 1. (Correct choice: B)

<h3>What is the equation of the ellipse associated with the coordinates of the foci?</h3>

By <em>analytical</em> geometry we know that foci are along the <em>major</em> axis of ellipses and beside the statement we find that such axis is parallel to the x-axis of Cartesian plane. Then, the <em>standard</em> form of the equation of the ellipse is of the following form:

(x - h)² / a² + (y - k)² / b² = 1, where a > b     (1)

Where:

  • a - Length of the major semiaxis.
  • b - Length of the minor semiaxis.

Now, we proceed to find the vertex and the lengths of the semiaxes:

a = 10 units.

b = 8 units.

Vertex

V(x, y) = 0.5 · F₁(x, y) + 0.5 · F₂(x, y)

V(x, y) = 0.5 · (3, 2) + 0.5 · (- 9, 2)

V(x, y) = (1.5, 1) + (- 4.5, 1)

V(x, y) = (- 3, 2)

The equation of the ellipse in <em>standard</em> form is (x + 3)² / 100 + (y - 2)² / 64 = 1. (Correct choice: B)

To learn more on ellipses: brainly.com/question/14281133

#SPJ1

8 0
2 years ago
Determine whether the three segment lengths will produce a triangle. Type yes or no in the space provided.
tresset_1 [31]

Answer:

20 , 20 , 30 will produce a triangle

Step-by-step explanation:

* Lets study how to know if the lengths of the three segments

 can formed a triangle

- It is a fact that in any triangle the sum of the smallest two sides

 must be greater than the largest side

- Lets study some examples

# If the lengths of the three segments are 5 , 6 , 7

∵ 5 and 6 are the smallest

∴ 5 + 6 = 11

∵ 11 > 7 ⇒ the sum greater than the 3rd side

∴ 5 , 6 , 7 can formed a triangle

# If the lengths of the three segments are 5 , 7 , 12

∵ 5 and 7 are the smallest

∴ 5 + 7 = 12

∵ 12 = 12 ⇒ the sum equal the 3rd side

∴ 5 , 7 , 12 can not formed a triangle

# If the lengths of the three segments are 10 , 12 , 24

∵ 10 and 12 are the smallest

∴ 10 + 12 = 22

∵ 22 < 24 ⇒ the sum less than the 3rd side

∴ 10 , 12 , 24 can not formed a triangle

* Now lets solve the problem

∵ The length of the three segments are 20 , 20 , 30

∵ 20 and 20 are the smallest

∴ 20 + 20 = 40

∵ 40 > 30 ⇒ the sum greater than the 3rd side

∴ 20 , 20 , 30 will produce a triangle

5 0
2 years ago
-(3-10y) simplify expression pls
Diano4ka-milaya [45]

Answer:

-3+10y

Step-by-step explanation:

Distribute the Negative.

6 0
2 years ago
Read 2 more answers
Answer all parts in the question below. Be sure to show all your work. Remember NO WORK, NO CREDIT EVEN IF THE ANSWER IS CORRECT
liraira [26]

I'm sorry I need the points lol anyways I hope you got the answer to it

3 0
3 years ago
a cheetah reaches a speed of 30 m/s as it chases its prey. What is the kinetic energy of the cheetah?
ZanzabumX [31]
Kinetic energy is in movement, so the answer is obviously the cheetah running :)
3 0
3 years ago
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