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4 years ago

Last answer option is

Mathematics

1 answer:

wel4 years ago

6 0

statements 1, 3, 4 are correct

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Identify the coordinates for point D

Radda [10]

Answer:

Your Picture is just of -3????

Step-by-step explanation:

5 0

3 years ago

When the sum of \, 528 \, and three times a positive number is subtracted from the square of the number, the result is \, 120. F

aleksandr82 [10.1K]

Let $x$ be the unknown number. So, three times that number means $3x$ , and the square of the number is $x^2$

We have to sum 528 and three times the number, so we have $528+3x$

Then, we have to subtract this number from $x^2$ , so we have

$x^2-(3x+528)$

The result is 120, so the equation is

$x^2 - 3x - 528 = 120 \iff x^2 - 3x - 648 = 0$

This is a quadratic equation, i.e. an equation like $ax^2+bx+c=0$ . These equation can be solved - assuming they have a solution - with the following formula

$x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

If you plug the values from your equation, you have

$x_{1,2} = \dfrac{3\pm\sqrt{9-4\cdot(-648)}}{2} = \dfrac{3\pm\sqrt{9+2592}}{2} = \dfrac{3\pm\sqrt{2601}}{2} = \dfrac{3\pm51}{2}$

So, the two solutions would be

$x = \dfrac{3+51}{2} = \dfrac{54}{2} = 27$

$x = \dfrac{3-51}{2} = \dfrac{-48}{2} = -24$

But we know that x is positive, so we only accept the solution $x = 27$

6 0

3 years ago

Help me please :) thanks

Fiesta28 [93]

Answer:

20 and 90

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Is 4.1 or 4.009 greater

Archy [21]

Answer:

Among 4.1 and 4.009 The greater one is 4.1

Hope it will help.

5 0

3 years ago

Read 2 more answers

Find the missing side lengths.

CaHeK987 [17]

Use the Pythagorean theorem:

$x^2+8^2=17^2\\\\x^2+64=289\qquad\text{subtract 64 from both sides}\\\\x^2=225\to x=\sqrt{225}\\\\\boxed{x=15\ ft}$

4 0

3 years ago