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3 years ago

Here we go another question i'm asking you guys to help me with because i don't understand this!

Mathematics

1 answer:

Alexandra [31]3 years ago

3 0

Answer:

1. Less Than

2. Greater Than

Step-by-step explanation:

You know that 1/2 is equal to 4.5/9

So, 2/9 would be less than 1/2.

You know that 1/2 is equal to 5/10

So, 9/10 is greater than 1/2.

Compare each fraction by setting each fraction to the same denominator.

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2(x-5)=4x+7<br> solve for x

OLEGan [10]

Answer:

x=-6

Step-by-step explanation:

5 0

3 years ago

What is the distance between two points with coordinates at (8, 40) and (20, 5)?

Alchen [17]

Answer:

37 units

Step-by-step explanation:

The two points form a right triangle so

a²+b²=c² so

(8-20)²(x values)+(40-5)²(y values)=c² (distance) so

12²+35²=c² so

144+1225=c²

1369=c²

c=37 units

7 0

3 years ago

3x^2+kx=-3 What is the value of K will result in exactly one solution to the equation?

Scorpion4ik [409]

Answer:

For k = 6 or k = -6, the equation will have exactly one solution.

Step-by-step explanation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = (x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

If $\bigtriangleup = 0$ , the equation has only one solution.

In this problem, we have that:

$3x^{2} + kx + 3 = 0$

$a = 3, b = k, c = 3$

$\bigtriangleup = b^{2} - 4ac$

$\bigtriangleup = k^{2} - 4*3*3$

$\bigtriangleup = k^{2} - 36$

We will only have one solution if $\bigtriangleup = 0$ . So

$\bigtriangleup = 0$

$k^{2} - 36 = 0$

$k^{2} = 36$

$k = \pm \sqrt{36}$

$k = \pm 6$

For k = 6 or k = -6, the equation will have exactly one solution.

3 0

3 years ago

On Monday, It took Helen three hours to do a page of science homework exercises. The next day she did the same number of exercis

disa [49]

.5 pages per hour? I'm not positive but I think that's right since she did one page of homework per day, 2 hours for one page would simplify to a half of a page per hour

6 0

3 years ago

In triangle XYZ, the length of side XY is 25 mm and the length of side YZ is 35 mm. Which of the following could be the length o

zlopas [31]

Answer:

The length of side XZ should be greater than 10 and lesser than 60.

Step-by-step explanation:

In triangle XYZ ,

The length of side XY = 25 mm

The length of side YZ = 35 mm

Range of the third side can be computed when we already know the two sides of the triangle.

If subtracting $35 - 25 = 10$ , the 3rd side would have to be more than 10. Else 3rd side can not be made as two smaller legs will not meet.

and

If adding $35 + 25 = 60$ , the 3rd side would have to be less than 60. Else 3rd side will reach further than the the other two sides could reach.

Therefore, the length of side XZ should be greater than 10 and lesser than 60.

3 0

3 years ago