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3 years ago

Which formula can be used to describe the sequence? - 2/3, -4, -24, -144

Mathematics

2 answers:

Anna35 [415]3 years ago

6 0

Answer:

They are all multiplied by 6

Orlov [11]3 years ago

3 0

Answer:

Geometric sequence.

Step-by-step explanation:

Here are the terms :

-2/3, -4, -24, -144

Now the first term T1 = -2/3

The second Term T2 = -4

But T2/T1 = -4÷ -2/3 = -4 x -3/2 = 6

Similarly Term 3, T3 = -24

T3/T2 = -24/-4= 6

Hence the expression is a geometric sequence.

a×r^(n-1); a is the first term

r is the common ratio 6

n is the number of terms.

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Given the area of a triangle is 25x2 + 10x - 8 and the base is 5x + 4, write the algebraic expression for the height.

agasfer [191]

Answer:

the height is 5x-2

Step-by-step explanation:

factor 25x^2+10x-8=(5x-2)(5x+4)

$\frac{(5x-2)(5x+4)}{5x+4}$

cancel like terms

height = 5x-2

5 0

2 years ago

In the diagram abc=adb=90, ad=p and dc=q. Use similar triangles to show that x2=pz<br> plzz anyoneee

kramer

Answer:

By comparing the ratios of sides in similar triangles ΔABC and ΔADB,we can say that $x^{2} =pz$

Step-by-step explanation:

Given that ∠ABC=∠ADC, AD=p and DC=q.

Let us take compare Δ ABC and Δ ADB in the attached file , ∠A is common in both triangles

and given ∠ABC=∠ADB=90°

Hence using AA postulate, ΔABC ≈ ΔADB.

Now we will equate respective side ratios in both triangles.

$\frac{AB}{AC}= \frac{AD}{AB}=\frac{BD}{BC}$

Since we don't know BD , BC let us take first equality and plugin the variables given in respective sides.

$\frac{x}{z}= \frac{p}{x}$

Cross multiply

$x^{2}=pz$

Hence proved.

7 0

3 years ago

The whole sale cost of bicycle is $75. There is a mark up of 55%. What is the new sale price of the bike

blsea [12.9K]

Answer:

$116.25

Step-by-step explanation:

10% = $7.50

5% = $3.75

7.50 x 5 = 37.50

37.50 + 3.75 = $41.25

$75 + $41.25 = $116.25

Hope this helps !

8 0

2 years ago

HELPPP????

kkurt [141]

Answer:

How are this equation and the equation of the line related? They both use the same variable to put it together. What does this relationship mean about any triangle created using this line? They are both put together so it would fit on the graph.

Step-by-step explanation:

The graph shows 1:2, where it's at. And they fit well because the numbers are next to each other. On the y axis, it's 2, right? And on the x axis it's 1, right? So it's 1:2 if that's what you're asking?

6 0

2 years ago

Read 2 more answers

Irrational number are

True [87]

Answer:

Numbers that never end and don't repeat either. In definition, an irrational number is a number that cannot be written as a simple fraction.

Step-by-step explanation:

Examples of irrational numbers are:

*All square roots of natural numbers, except perfect squares, are irrational.:

- $\sqrt{97}$ - $\sqrt{2}$ - $\sqrt{1001}$