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2 years ago

Find the diameter and the radius of the circle 13yd

Mathematics

1 answer:

Reil [10]2 years ago

6 0

Answer:

Step-by-step explanation:

This is because the formula is dr

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Which irrational number is represented by point B?

avanturin [10]

Answer:

B) √229

Step-by-step explanation:

√229 is about 15.13, which is the approximate location of point B.

IMO, the dot at point P is a little too far to the right for √229.

6 0

3 years ago

Read 2 more answers

Write the equation for a 3rd degree polynomial function that has roots at x = 1–3i and x = 2. The y‑intercept is (0,10). Write a

HACTEHA [7]

Answer:

$\displaystyle P(x)=-\frac{1}{2}(x^2+2x+10)(x-2)$

Step-by-step explanation:

<u>Factored Form Of Polynomials </u>

If we know the roots of a polynomial as

$\alpha _1,\alpha _2,\alpha _3$

the polynomial can be expressed in factored form as

$a(x-\alpha _1)(x-\alpha _2)(x-\alpha _3)$

We are given two of the three roots of the polynomial:

$\alpha _1=1-3i$

$\alpha _2=2$

The other root must be the conjugate of the complex root:

$\alpha _3=1+3i$

Recall the product of two complex conjugate numbers is

$(1-3i)(1+3i)=1^2-(3i)^2=1+9=10$

The required polynomial is

$P(x)=a\left[ x-(1-3i)\right ]\left[ x-(1+3i)\right ](x-2)$

$P(x)=a(x^2+2x+10)(x-2)$

This is the factored form of the polynomial where only real numbers appear

We need to find the value of a, such as

$P(0)=10$

$P(0)=a(0^2+2(0)+10)(0-2)=10$

$-20a=10$

Thus the value of a is

$\displaystyle a=-\frac{1}{2}$

The expression of the required polynomial is

$\boxed{P(x)=-\frac{1}{2}(x^2+2x+10)(x-2)}$

5 0

3 years ago

LOTS OF POINTS!!!!!!!!<br><br>Please help asap!!!!! I need to solve for x

lozanna [386]

Answer:

x = 1 11/15

Step-by-step explanation:

Using ratios of similar triangles

3 5.2

-------- = ----------

4 (5.2 + x)

Using cross products

3 * (5.2 + x) = 5.2 * 4

Distribute

15.6 + 3x = 20.8

Subtract 15.6 from each side

15.6-15.6 + 3x = 20.8 -15.6

3x =5.2

Divide each side by 3

3x/3 = 5.2/3

x = 5.2/3

x=52/30

x = 26/15

x = 1 11/15

4 0

3 years ago

Help math math math ASAP ASAP

choli [55]

I think 14 hope this helps

8 0

2 years ago

How would you simplify the expression represented by the diagram below?

tangare [24]

A i hope good luck on the test

6 0

3 years ago