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2 years ago

A line passes through the point (-8 7) and has a slope of -5/4

Mathematics

1 answer:

SOVA2 [1]2 years ago

3 0

Answer:

What is the question???

Step-by-step explanation:

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Ack, sorry im gonna need a way to delete this lol.

charle [14.2K]

I’m afraid you can’t delete , unless if we report it or else there’s no other way

6 0

3 years ago

For what values of $x$ is $$\frac{x^2 + x + 3}{2x^2 + x - 6} \ge 0?$$ note: be thorough and explain why all points in your answe

Rus_ich [418]

To solve the inequality $\frac{x^2+x+3}{2x^2+x-6}\ge \:0$

$\mathrm{Factor\:the\:left\:hand\:side\:}\frac{x^2+x+3}{2x^2+x-6}:$

The numerator $x^2+x+3$ is not factorizable.

so factor the denominator $2x^2+x-6$ :

$2x^2+x-6=\left(2x^2-3x\right)+\left(4x-6\right)=x\left(2x-3\right)+2\left(2x-3\right)\\ \mathrm{Factor\:out\:}x\mathrm{\:from\:}2x^2-3x\mathrm{:\quad }x\left(2x-3\right)\\ \mathrm{Factor\:out\:}2\mathrm{\:from\:}4x-6\mathrm{:\quad }2\left(2x-3\right)\\$

Now take $\mathrm{Factor\:out\:common\:term\:}\left(2x-3\right)$

Then we get factor of the denominator as $\left(2x-3\right)\left(x+2\right)$

Thus $\frac{x^2+x+3}{2x^2+x-6}=\frac{x^2+x+3}{\left(x+2\right)\left(2x-3\right)}$

Now $\mathrm{Compute\:the\:signs\:of\:the\:factors\:of\:}\frac{x^2+x+3}{\left(x+2\right)\left(2x-3\right)}\\$

Signs of $x^2+x+3>0$

$\mathrm{Choosing\:ranges\:that\:satisfy\:the\:required\:condition:}\:\ge \:\:0$

$x\frac{3}{2}$ is the required solution of the given inequality.

5 0

3 years ago

Read 2 more answers

Which set of numbers form a right triangle

Setler79 [48]

The answer you are looking for is B. 7, 24, 25.

To find this, you could use Pythagorean Theorem (a^2 + b^2 = c^2). C is the hypotenuse, or the longest side (25 in this case). So you'd do 7^2 + 24^2 = 25^2. Solving for each would give you 49 + 576 = 625. Adding the left side, gives you 625 = 625. Thus probing, this is a right triangle.

I hope this helps!

6 0

2 years ago

the radius of a cylindrical water tank is 6.5ft, and its height is 16ft what is the volume of the tank?

dimulka [17.4K]

Answer:

Volume of cylindrical tank is 2122.64 cubed feet.

Step-by-step explanation:

It is given that:

Radius of cylindrical tank = 6.5 feet

Height of tank = 16 feet

Volume of tank = πr²h

Putting the values in the formula

Volume = 3.24 * (6.5)² * 16

Volume = 3.14 * 42.45 * 16

Volume = 2122.64 cubed feet.

Therefore,

Volume of cylindrical tank is 2122.64 cubed feet.

4 0

2 years ago

Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly

Ghella [55]

Answer: Clearify

Step-by-step explanation:

8 0

2 years ago