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4 years ago

Gio is solving the quadratic equation by completing the square 5x^2+15x-4=0 What's should gio do first?

Mathematics

1 answer:

Softa [21]4 years ago

5 1

Gio should for sure devide everything by ^2 and then combine like terms.

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An insect's body is 1/10 inch long. The insect's head is 3/100 inch long. Is the combined length of the insect's body and head l

Over [174]

Answer:

The insect's combined body length is shorter than 4/10

Step-by-step explanation:

To get the combined length of the insect's body, we add the length of the head of the insect to the length of the body of the insect.

The body of the insect is 1/10 inch long and the head of the insect is 3/100 inch long. Hence, its combined body length is:

$L = \frac{1}{10} + \frac{3}{100}$

Finding the Lowest Common Multiple of the denominators and simply, we have:

$L = \frac{10 + 3}{100} = \frac{13}{100}$

The combined body length of the insect is 13/100 inches.

13/100 is smaller than 4/10 (4/10 is equivalent to 40/100).

Hence, the insect's combined body length is shorter than 4/10.

Note: if we are to pay attention to units, we would not be able to compare 13/100 inches to 4/10 because 4/10 is unitless.

8 0

3 years ago

Please help asap solve x^4+5x^2+4=0

const2013 [10]

Answer:

$x=\pm i\text{ or }x=\pm2i$

Step-by-step explanation:

So we have the equation:

$x^4+5x^2+4=0$

Let's let u be equal to x². So:

$u^2+5u+4=0$

Factor:

$(u+1)(u+4)=0$

Zero Product Property:

$u+1=0\text{ or } u+4=0$

Subtract:

$u=-1\text{ or }u=-4$

Replace:

$x^2=-1\text{ or }x^2=-4$

Take square root:

$x=\pm\sqrt{-1}\text{ or }x=\pm\sqrt{-4$

Simplify:

$x=\pm i\text{ or }x=\pm2i$

7 0

3 years ago

What can you conclude about these triangles? Check

sweet [91]

Answer:

Angle E corresponds to angle L
The two triangles are similar

Step-by-step explanation:

Angle E corresponds to angle L because the two triangles are similar (and we know this becuase corresponding sides are proportional.

8 0

3 years ago

A rectangle has a length of 10 inches and a perimeter of 48 inches. Which equation could be used to find the width of the rectan

Art [367]

D. 48=20+2w
because the perimeter (48) is equal to 2 times the width (2w) and 2 times the length (2*10)

4 0

3 years ago

you and your friend are collecting seashells on the beach. You collect 20 more shells than your friend collects. Together, you a

Anestetic [448]

You first add 92+20. You will get 112. So 112 seashells collected.

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3 years ago