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solmaris [256]
2 years ago
13

What is the next term of the following sequence? 20, 10, 5, 21/2, ...

Mathematics
1 answer:
ycow [4]2 years ago
6 0

Answer:

1 \frac{1}{4}

Step-by-step explanation:

Note there is a common ratio between consecutive terms, that is

10 ÷ 20 = 5 ÷ 10 = 2 \frac{1}{2} ÷ 5 = \frac{1}{2}

Thus to obtain the next term in the sequence multiply the previous term by \frac{1}{2}

2 \frac{1}{2} × \frac{1}{2} = 1 \frac{1}{4}

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1. y = x2 + 8x + 15<br> Find the zeros of the function by rewriting the function in intercept form
lubasha [3.4K]

The zeros of given function y=x^{2}+8 x+15 is – 5 and – 3

<u>Solution:</u>

\text { Given, equation is } y=x^{2}+8 x+15

We have to find the zeros of the function by rewriting the function in intercept form.

By using intercept form, we can put value of y as  to obtain zeros of function

We know that, intercept form of above equation is x^{2}+8 x+15=0

\text { Splitting } 8 x \text { as }(5+3) x \text { and } 15 \text { as } 5 \times 3

\begin{array}{l}{\rightarrow x^{2}+(5+3) x+5 \times 3=0} \\\\ {\rightarrow x^{2}+5 x+3 x+5 \times 3=0}\end{array}

Taking “x” as common from first two terms and “3” as common from last two terms

x (x + 5) + 3(x + 5) = 0

(x + 5)(x + 3) = 0

Equating to 0 we get,

x + 5 = 0 or x + 3 = 0

x = - 5 or – 3

Hence, the zeroes of the given function are – 5 and – 3

5 0
3 years ago
Write the equation of the circle centered at (4, - 9) with diameter 16.<br> HELP A GIRL OUT
iragen [17]

Answer:

16= (x-4)^2 +(y+9)^2

Step-by-step explanation:

hey! The formula for the equation of a circle is r^2= (x-h)^2 + (y-k)^2

r= the radius (in your case you have the diameter so you do not need to square it)

(h,k)= is the center coordinates, so your center coordinate would be (4, -9). You now have your h (h=4) and your k (k=-9) so you can plug it in the formula! :)

a nice rating would help out

4 0
2 years ago
HELP ASAP, I NEED HELP PLS​
solong [7]

Answer:

7/3

Step-by-step explanation:

Two points equally distant from each other between whole numbers on a number line have to do with the fraction 1/3.

2 ⇒ 2 1/3 ⇒ 2 2/3 ⇒ 3

Convert the mixed fraction to improper.

2 1/3 = 7/3

Point A as a fraction is 7/3.

5 0
3 years ago
please help me!!!! this is probably easy but i’m terrible at math
earnstyle [38]

Answer:

last one

Step-by-step explanation:

ushsssjjsjsjsjssjsj it the last one

8 0
3 years ago
Read 2 more answers
How many different triangles can be constructed using angle measurements 81°,52°,47°?​
DerKrebs [107]

Answer:

More than one triangle because it has to measure up to 180°  

81 + 52 + 47 = 180

Step-by-step explanation:

7 0
3 years ago
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