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2 years ago

Two sides of a triangle have lengths 18cm and 40cm describe the possible lengths of the third side

Mathematics

1 answer:

Paraphin [41]2 years ago

5 0

Answer:

Step-by-step explanation:

a taingle adds up to 180 degrees if that helps

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Which logarithmic equation is equivalent to the exponential equation below?

anzhelika [568]

Answer:

$log_e^{67.21}= a$

Step-by-step explanation:

The equation is ,

$\implies 67.21 = e^a$

Here e is the Euler's Number . The log which are defined on the base e are called Natural logarithms.

Say if we have a expoteintial equation ,

$\implies a^m = n$

In logarithmic form it is ,

$\implies log_a^n = m$

Similarly our required answer will be ,

$\implies\boxed{ log_e^{67.21}= a }$

3 0

2 years ago

Calculate the slope

lesya692 [45]

Answer:

Undefined

Step-by-step explanation:

Slope us (y2-y1)/(x2-x1)

(9-4)/(3-3)

Cant divide by zero

3 0

2 years ago

What is the sum of all values of m that satisfy 2m (squared) -16m+8=0?

vodomira [7]

<h2>Steps:</h2>

So for this, we will be completing the square to solve for m. Firstly, subtract 8 on both sides:

$2m^2-16m=-8$

Next, divide both sides by 2:

$m^2-8m=-4$

Next, we want to make the left side of the equation a perfect square. To find the constant of this perfect square, divide the m coefficient by 2, then square the quotient. In this case:

-8 ÷ 2 = -4, (-4)² = 16

Add 16 to both sides of the equation:

$m^2-8m+16=12$

Next, factor the left side:

$(m-4)^2=12$

Next, square root both sides of the equation:

$m-4=\pm \sqrt{12}$

Next, add 4 to both sides of the equation:

$m=4\pm \sqrt{12}$

Now, while this is your answer, you can further simplify the radical using the product rule of radicals:

Product rule of radicals: √ab = √a × √b

√12 = √4 × √3 = 2√3.

$m=4\pm 2\sqrt{3}$

<h2>Answer:</h2>

In exact form, your answer is $m=4\pm \sqrt{12}\ \textsf{OR}\ m=4\pm 2\sqrt{3}$

In approximate form, your answers are (rounded to the hundreths) $m=7.46, 0.54$

6 0

3 years ago

Find a 101 of the sequence 5, 8, 11, ....<br><br> A. 302<br> B. 311<br> C. 305<br> D. 308

Dimas [21]

Answer:

305

Step-by-step explanation:

We are adding 3 each time

5+3 = 8

8+3 = 11

The formula for an arithmetic sequence is

an = a1+d(n-1) where a1 is the first term and d is the common difference

an = 5+3(n-1)

We want the 101 term

a101 = 5 +3(101-1)

= 5+3(100)

= 5+300

= 305

5 0

2 years ago

Determine the intervals on which the polynomial is entirely negative and those on which it is entirely positive. (Enter your ans

Stells [14]

This is a parabola that opens downward.
Remember that the axis of symmetry is located at x=-b/(2a).
So the vertex is at (3,-1)
So functions slope is positive or increasing on (-co, 3] and decreasing on [3,co).

5 0

2 years ago

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