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1 year ago

Which are two possible reasons for the change within the frog population?

Mathematics

1 answer:

marishachu [46]1 year ago

7 0

The given sequence;–3.2, 4.8, –7.2, 10.8, is a geometric progression common ratio of -1.5.

<h3>What is a geometric series?</h3>

When all the terms of a geometric sequence are added, then that expression is called geometric series.

The given sequence ;

–3.2, 4.8, –7.2, 10.8, …

The common ratio

= -4.8/ 3.2

= - 1.5

The terms having a common ratio of -1.5 best describe the relationship between the successive terms in the sequence of the terms.

Learn more about geometric sequence here:

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Arun is 4 times as old as Beth. Beth is 12 years younger than Arun. How old is Beth?

denpristay [2]

Answer: 4

Step-by-step explanation:

4 x 4=16-12=4

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2 years ago

Which sequence matches the recursive formula?

goldenfox [79]

Hello:
<span>an = 2an-1 + 5, where a1 = 5
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n =4 a4 = 2a3 +5 = 235)+5 = 75
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2 years ago

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Greatest common factor M^3n and 5m^5n^2

xenn [34]

Answer:

m³n

Step-by-step explanation:

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3 years ago

Given: Base ∠BAC and ∠ACB are congruent.

Sergio039 [100]

Refer to the image attached.

Given: $\angle BAC$ and $\angle ACB$ are congruent.

To Prove: $\Delta$ ABC is an isosceles triangle.

Construction: Construct a perpendicular bisector from point B to Line segment AC.

Consider triangle ABD and BDC,

$\angle BAD = \angle BCD$ (given)

$\angle ADB = \angle BDC = 90^\circ$

(By the definition of a perpendicular bisector)

$AD=DC$ (By the definition of a perpendicular bisector)

Therefore, $\Delta ABD \cong \Delta BDC$ by Angle Side Angle(ASA) Postulate.

Line segment AB is congruent to Line segment BC because corresponding parts of congruent triangles are congruent.(CPCTC)

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3 years ago

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Solve this equation for x: 2x^2 + 12x - 7 = 0

zhannawk [14.2K]

Answer:

x=0.5355 or x=-6.5355

First step is to: Isolate the constant term by adding 7 to both sides

Step-by-step explanation:

We want to solve this equation: $2x^2 + 12x - 7 = 0$

On observation, the trinomial is not factorizable so we use the Completing the square method.

Step 1: Isolate the constant term by adding 7 to both sides

$2x^2 + 12x - 7+7 = 0+7\\2x^2 + 12x=7$

Step 2: Divide the equation all through by the coefficient of $x^2$ which is 2.

$x^2 + 6x=\frac{7}{2}$

Step 3: Divide the coefficient of x by 2, square it and add it to both sides.

Coefficient of x=6

Divided by 2=3

Square of 3= $3^2$

Therefore, we have:

$x^2 + 6x+3^2=\frac{7}{2}+3^2$

Step 4: Write the Left Hand side in the form $(x+k)^2$

$(x+3)^2=\frac{7}{2}+3^2\\(x+3)^2=12.5\\$

Step 5: Take the square root of both sides and solve for x

$x+3=\pm\sqrt{12.5}\\x=-3\pm \sqrt{12.5}\\x=-3+ \sqrt{12.5}, $ or $x= -3- \sqrt{12.5}\\$x=0.5355 or x=-6.5355$

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2 years ago