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lyudmila [28]
2 years ago
5

What are the values of a and b?

Mathematics
1 answer:
aleksklad [387]2 years ago
6 0

Answer: A

Step-by-step explanation: While I'm sure there is an equation to solve this which I don't remember I used process of elimination to solve this, there are two right triangle and one of the triangles is sides a, 2, and b. Since B is across from the right angle, it is the hypotenuse, therefore b is greater than a, that means d and b cannot be correct, since a is the same in a and c, we can assume a=8, using Pythagorean Theorem. 8^2 + 2^2= b^2.

b^2 = 68

the square root of 68 can be simplified to 2 * square root of 17

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Select all of the statements that are true for the given parabola.
Naddik [55]

Answer:

A & D

Step-by-step explanation:

The parabola opens up, so the minimum value of y is at the point (1, -2) and the graph passes thru the x-axis at 3 and -1, so those are the x-intercepts.

The axis  of symmetry is x = 1, not y = -2 and the graph never has a maximum value.  Parabolas that open up never have a maximum value.

7 0
3 years ago
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I need help with 1-3 i don’t understand that problems and its already over due
Nina [5.8K]

Step-by-step explanation:

For a quadratic equation y = ax² + bx + c, the vertex (the maximum or minimum point) is at x = -b/(2a).

1) y = -0.5t² + 2t + 38

The maximum is at:

t = -2 / (2 × -0.5)

t = 2

The maximum height is:

y = -0.5(2)² + 2(2) + 38

y = 40

The coordinates of the vertex are (2, 40).  That means the missile reaches a maximum height of 40 km after 2 minutes.

2) y = -4.9t² + 12t + 1.6

The maximum is at:

t = -12 / (2 × -4.9)

t = 1.22

The maximum height is:

y = -4.9(1.22)² + 12(1.22) + 1.6

y = 8.95

The coordinates of the vertex are (1.22, 8.95).  That means the missile reaches a maximum height of 8.95 m after 1.22 seconds.

3) y = -0.04x² + 0.88x

The maximum is at:

x = -0.88 / (2 × -0.04)

x = 11

The maximum height is:

y = -0.04(11)² + 0.88(11)

y = 4.84

The maximum height of the tunnel is 4.84 meters.

The maximum width is when y = 0.

0 = -0.04x² + 0.88x

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The maximum width is 22 feet.

7 0
3 years ago
Solve (2x-1/4)+(x/3)=2<br> Please provide a step by step with explanation
andrew11 [14]

Answer:

x = 27/10 or x = 2.7

Step-by-step explanation:

Step 1: Get rid of the denominator.

LCD of 4 & 3: 12

Multiply both sides by 12.

12 ( 2x - 1 / 4 ) + 12 ( x / 3 ) = 12 (2)

Reduce the numbers.

3 ( 2x - 1) + 4x = 24

Step 2: Distribute.

6x - 3 + 4x = 24

Step 3: Collect like terms.

6x + 4x = 24 + 3 ( - 3, the sign change when moved to the other side)

10x = 27

Step 4: Solve for x.

Multiply both sides by 10.

10x / 10 = 27 / 10 (the 10 cancels out)

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Answer: x = 27 / 10 or x = 2.7

7 0
2 years ago
Two friends are reading the same book. Amy can read 3 pages per minute, and she has already read 9 pages. Sam, who has a reading
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myrzilka [38]

Answer:

I think its 28 feet

Step-by-step explanation:

2x2=4

3x8=24

24+4=28 ft

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3 years ago
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