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3 years ago

Now that you have x2 - 8x + 16 = 9+ 16, apply the square root property to the equation.

Mathematics

2 answers:

aniked [119]3 years ago

6 0

Answer:

a) $(x-4)^2=25$

Step-by-step explanation:

$(x^2-8x+16)=9+16\\ (x)^2-2*x*4+(4)^2=25\\ (x-4)^2=25\\x-4=5\\x=5+4\\x=9$

ivolga24 [154]3 years ago

3 0

Op 1 is ur right answer

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The chart shows rate of decay. A 3 column table with 7 rows. The first column is Half-lives elapsed, with entries 0, 1, 2, 3, 4,

Morgarella [4.7K]

The value that is being measured in the columns labeled "Fraction remaining" and "Percentage remaining" is (d) amount of material that has not decayed.

From the question, we understand that the chart measures the rate of decay.

<h3 /><h3>Fraction Remaining</h3>

So, the fraction remaining column would show the remaining amount of the material that is being measured, as a fraction.

<h3>Percentage Remaining</h3>

The percentage remaining column would show the remaining amount of the material that is being measured, as a percentage.

Hence, the value that is being measured in these columns is (d) amount of material that has not decayed.

Read more about decay rates at:

brainly.com/question/3072599

8 0

2 years ago

Consider F and C below. F(x, y) = x4y5i + x5y4j, C: r(t) = t3 − 2t, t3 + 2t , 0 ≤ t ≤ 1 (a) Find a function f such that F = ∇f.

vovikov84 [41]

$\mathbf f(x,y)=x^4y^5\,\mathbf i+x^5y^4\,\mathbf j$

We want a scalar function $f(x,y)$ whose gradient is equivalent to the vector field. That means

$\dfrac{\partial f}{\partial x}=x^4y^5\implies f(x,y)=\dfrac{x^5y^5}5+g(y)$
$\dfrac{\partial f}{\partial y}=x^5y^4\implies x^5y^4=x^5y^4+\dfrac{\mathrm dg}{\mathrm dy}$
$\implies\dfrac{\mathrm dg}{\mathrm dy}=0\implies g(y)=C$

So (a)

$f(x,y)=\dfrac{x^5y^5}5+C$

which means (b)

$\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=f(\mathbf r(1))-f(\mathbf r(0))=f(-1,3)-f(0,0)=-\dfrac{243}5-0=-\dfrac{243}5$

5 0

2 years ago

Give the radius or diameter. find the the circumference and area of each circle to the nearest tenth. Use 3.14 for pi

Vesnalui [34]

Answer:

A=π×r×r

r=D/2=24/2=12ft

A=3.14×12×12=452.16ft2

C=2πr

C=2×3.14×12

C=75.36ft

6 0

3 years ago

63÷6 = ? ,,,,, please try to give a full solution

fenix001 [56]

Answer:

10.5

Step-by-step explanation:

63/6=10.5 or 10 and 1 half

7 0

2 years ago

Read 2 more answers

18% of what number of 43

erastovalidia [21]

Answer:

Step-by-step explanation:

Answer:

238.888888

Explanation:

Set up a proportion

18%=43

while 100%=x

This gets you 18× x

100

4300

Now divide both sides by

. The number is

238

(a repeating decimal)

3 0

2 years ago