How many solutions does this equation have?

Mathematics

1 answer:

goblinko [34]2 years ago

6 0

1 answer namely x = 6

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If line segment AB represents 25%, what is the length of a line segment that is 100%?

kicyunya [14]

If I am correctly understanding the question, I think the length of the line segment would be 4AB

Step-by-step explanation:

25% = 1/4

AB = 1/4

100% = 4/4

AB*4 = 4AB

Multiply AB by 4 to find the value that 100% would equal, resulting in 4AB.

6 0

3 years ago

Help

padilas [110]

Answer:

The answer is 100.5 $in^{3}$ .

Step-by-step explanation:

To solve for the volume of the cylinder, use the cylinder volume formula, which is V = $\pi r^{2} h$ .

Next, plug in the information given from the problem, and the formula will look like V = $(\pi) (2 in^{2}) (8 in)$ .

Then, solve the equation, and the answer will be 100.5 $in^{3}$ .

8 0

2 years ago

Solve 2x^2 + x - 4 = 0 <br> X2 +

damaskus [11]

Answer:

$\large \boxed{\sf \ \ x = -\dfrac{\sqrt{33}+1}{4} \ \ or \ \ x = \dfrac{\sqrt{33}-1}{4} \ \ }$

Step-by-step explanation:

Hello, please find below my work.

$2x^2+x-4=0\\\\\text{*** divide by 2 both sides ***}\\\\x^2+\dfrac{1}{2}x-2=0\\\\\text{*** complete the square ***}\\\\x^2+\dfrac{1}{2}x-2=(x+\dfrac{1}{4})^2-\dfrac{1^2}{4^2}-2=0\\\\\text{*** simplify ***}\\\\(x+\dfrac{1}{4})^2-\dfrac{1+16*2}{16}=(x+\dfrac{1}{4})^2-\dfrac{33}{16}=0$

$\text{*** add } \dfrac{33}{16} \text{ to both sides ***}\\\\(x+\dfrac{1}{4})^2=\dfrac{33}{16}\\\\\text{**** take the root ***}\\\\x+\dfrac{1}{4}=\pm \dfrac{\sqrt{33}}{4}\\\\\text{*** subtract } \dfrac{1}{4} \text{ from both sides ***}\\\\x = -\dfrac{1}{4} -\dfrac{\sqrt{33}}{4} \ \ or \ \ x = -\dfrac{1}{4} +\dfrac{\sqrt{33}}{4}$