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ohaa [14]
3 years ago
15

What should i do now please help me​

Mathematics
1 answer:
m_a_m_a [10]3 years ago
6 0

Answer:

x=24

Step-by-step explanation:

Here, you need to make proportion and find x.

12:16=18:x

We multiply 12 by x and 16 by 18:

12x=288

Divide by 12 both sides :

x=24

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Values of k for which the quadratic equation 2x - kx + k 0 has equal roots is
WARRIOR [948]

Answer:

The answer is D.

Step-by-step explanation:

We have to apply Discriminant Law. When a quadratic equation, ax² + bx + c = 0 has equal roots so the discriminant will be 0. Then, you have to substitute the values into the formula :

D =  {b}^{2}  - 4ac

let   \: D = 0 ,a = 2,b = k,c = k

0 =  {k}^{2}  - 4(2)(k)

{k}^{2}  - 8k = 0

k(k - 8) = 0

k = 0

k - 8 = 0

k = 8

4 0
4 years ago
A ladder that is 13 meters long is leaning against a wall. The distance between the foot of the ladder and the wall is 7 meters
Maksim231197 [3]
<h2>Answer:</h2>

The equation that is used to model the length of ladder in terms of x is:

                   x^2-7x-60=0

<h2>Step-by-step explanation:</h2>

We can model this problem with the help of a right angled triangle whose hypotenuse is 13 meters and the other two legs are x meters and (x-7) meters.

where x is the distance between the top of the ladder and the ground.

and (x-7) is the distance between the foot of the ladder and the wall.

Hence, using Pythagorean Theorem we have:

13^2=x^2+(x-7)^2\\\\i.e.\\\\169=x^2+x^2+49-14x\\\\i.e.\\\\169=2x^2-14x+49\\\\i.e.\\\\2x^2-14x+49-169=0\\\\i.e.\\\\2x^2-14x-120=0\\\\i.e.\\\\x^2-7x-60=0

                 Hence, the answer is:

                  x^2-7x-60=0

7 0
3 years ago
Read 2 more answers
3x + 4y = -4<br> 15x + 20y = -22<br> One Solution<br> O Infinitely Many Solutions<br> O No Solutions
Basile [38]

Answer:

many solutions

Step-by-step explanation:

3 0
3 years ago
4. A rectangle has a diagonal of 8 cm. The diagonal creates a 60° angle at the base of the rectangle.
tamaranim1 [39]

9514 1404 393

Answer:

  a) see attachment

  b) base: 4, height: 4√3

  c) area: 16√3

Step-by-step explanation:

a) The figure is drawn in the attachment

__

b) The side lengths of a 30-60-90 right triangle have the ratio ...

  1 : √3 : 2

Multiplying these by 4 gives the side lengths of each triangle created by the diagonal. The base (short leg) is 4 units; the height (long leg) is 4√3 units.

__

c) The area is the product of base and height:

  A = bh

  A = 4(4√3) = 16√3 . . . . square units

7 0
3 years ago
The sum of three consecutive odd integers is − 87 . find the numbers.
DIA [1.3K]
Three consecutive odd integers are n, n+2 and n+4

n + n+2 + n+4 = -87
3n + 6 = -87
3n = -87 - 6
3n = -93
n = -93/3
n = -31

n+2 = -31 + 2 = -29
n+4 = -31 + 4 = -27

The numbers are -31, -29 and -27
5 0
4 years ago
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