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3 years ago

Tell whether each of the following statements about the diagram is true or false by pressing the hotspot.

Mathematics

1 answer:

iragen [17]3 years ago

4 0

Answer:

false

Step-by-step explanation:

what is the function bro

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What is the length and width of a rectangle given by the trinomial r squared - 6r- 55? Use factoring

dimaraw [331]

The length of the rectangle is 11 units

The width of the rectangle is 5 units.

Explanation:

The equation of the trinomial is $r^{2}-6 r-55$

We need to find the length and the width of the rectangle.

The length and width of the rectangle can be determined by factoring the trinomial $r^{2}-6 r-55=0$

Factoring using the quadratic formula, we have,

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

where $a=1, b=-6$ and $c=-55$

Substituting these in the above formula, we have,

$r=\frac{-(-6) \pm \sqrt{(-6)^{2}-4 \cdot 1(-55)}}{2 \cdot 1}$

$r=\frac{6\pm \sqrt{36+220}}{2}$

$r=\frac{6\pm \sqrt{256}}{2}$

$r=\frac{6\pm 16}{2}$

Hence, the two roots of the trinomial are

$r=\frac{6+ 16}{2}$ and $r=\frac{6- 16}{2}$

Solving $r=\frac{6+ 16}{2}$ , we get,

$r=\frac{22}{2}$

$r=11$

Solving $r=\frac{6- 16}{2}$ , we get,

$r=\frac{-10}{2}$

$r=-5$

Thus, the solutions of the trinomial are 11 and -5

Since, the length of the rectangle is larger than the width, the length of the rectangle is 11 units.

Also, the width of the rectangle cannot be negative.

Thus, ignoring the negative sign, we have, $r=5$

Hence, the width of the rectangle is 5 units.

4 0

3 years ago

Soft drinks are sold in aluminum cans that measure 6 inches in height and 2 inches in diameter. How many cubic inches of drink a

alekssr [168]

Is there any choices at all for this

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4 years ago

If you had to put up a fence around a circular baseball field, you would need to know the _________?

laila [671]

You would need to know the diameter of the field, and from that, you need to get the circumference of the field by using the formula C = πd.

By getting the circumference, you can therefore determine the perimeter/length of the fence you will need to enclose it.

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3 years ago

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Simplify. -5a-3b+8a+b

Misha Larkins [42]