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Y_Kistochka [10]
3 years ago
11

Match the lengths of the hypotenuse and one leg of a right triangle to the length of the other leg.

Mathematics
1 answer:
Lynna [10]3 years ago
3 0
1. D
2. B
3. A
4. C
Basically always use a^2 + b^2 = c^2 it gives you your A and C so subtract your A from you C and you have your B
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If P(x) = ax 3 + bx - 3 and P(-1)-0, then the value of P(1) is:
sergey [27]

Answer:

(a) -6

Step-by-step explanation:

P(x) = ax^3 +bx - 3

  • P(-1) = -a-b-3 = 0
  • therefore a+b=-3
  • P(1) = a+b-3
  • P(1) = -3 - 3 = -6
  • (a)
7 0
3 years ago
Prove or disprove that the circle with equation x^2-4x+y^2=-3 intersects the y axis
wel
The general equation given is x^2 - 4x + y^2 = -3. Transform this to an equation of a circle of the form x^2 + y^2 = r^2.

Use completing the square method:

x^2 - 4x + 4 + y^2 = -3 + 4
(x - 2)^2 + y^2 = 1

the center of the circle is (2,0) and r = 1

To check if it intersects the y axis, find the value of the x-intercept. 
7 0
3 years ago
An open-top rectangular box with square base is to be made from 100 square feet of material, as shown.
-Dominant- [34]

The largest possible volume of the given box is; 96.28 ft³

<h3>How to maximize volume of a box?</h3>

Let b be the length and the width of the base (length and width are the same since the base is square).

Let h be the height of the box.

The surface area of the box is;

S = b² + 4bh

We are given S = 100 ft². Thus;

b² + 4bh = 100

h = (100 - b²)/4b

Volume of the box in terms of b will be;

V(b) = b²h = b² * (100 - b²)/4b

V(b) = 25b - b³/4

The volume is maximum when dV/db = 0. Thus;

dV/db = 25 - 3b²/4

25 - 3b²/4 = 0

√(100/3) = b

b = 5.77 ft

Thus;

h = (100 - (√(100/3)²)/4(5.77)

h = 2.8885 ft

Thus;

Largest volume = [√(100/3)]² * 2.8885

Largest Volume = 96.28 ft³

Read more about Maximizing Volume at; brainly.com/question/1869299

#SPJ1

4 0
1 year ago
Evaluate the following expression for z = -3.<br> -z^6<br> I’m literally so bad at this please help
Kipish [7]

Step-by-step explanation:

{ - z}^{6}  \\ z =  - 3

-  {( - 3)}^{6}  \\  =  - 1 \times ( - 3 \times  - 3 \times  - 3 \times  - 3 \times  - 3 \times  - 3)

= -1 × 729

= -729

3 0
3 years ago
What times what equals 120 and When you add the two numbers they equal 26?
Alona [7]
6 times 20 equals 120 and equals 26 when added together

3 0
3 years ago
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