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3 years ago

9

Write the quadratic equation whose roots are - 6 and -4, and whose leading coefficient is 4.

1 answer:

Advocard [28]3 years ago

3 0

Answer:

Step-by-step explanation:

y=4(x+6)(x+4)

y=4(x^2+10x+24)

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Find the supplementary angle.<br> 4. 80°<br> 5. 65°<br> 6. 34°

erastova [34]

Answer:

In a supplementary angle the angle is 360°

in a complementary angle the angle is 180°

5 0

2 years ago

Given the sequence 1/2 ; 4 ; 1/4 ; 7 ; 1/8 ; 10;.. calculate the sum of 50 terms

miv72 [106K]

<u>Hint </u><u>:</u><u>-</u>

Break the given sequence into two parts .
Notice the terms at gap of one term beginning from the first term .They are like $\dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8}$ . Next term is obtained by multiplying half to the previous term .
Notice the terms beginning from 2nd term , $4,7,10,13$ . Next term is obtained by adding 3 to the previous term .

<u>Solution</u><u> </u><u>:</u><u>-</u><u> </u>

We need to find out the sum of 50 terms of the given sequence . After splitting the given sequence ,

$\implies S_1 = \dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8}$ .

We can see that this is in <u>Geometric</u><u> </u><u>Progression </u> where 1/2 is the common ratio . Calculating the sum of 25 terms , we have ,

$\implies S_1 = a\dfrac{1-r^n}{1-r} \\\\\implies S_1 = \dfrac{1}{2}\left[ \dfrac{1-\bigg(\dfrac{1}{2}\bigg)^{25}}{1-\dfrac{1}{2}}\right]$

Notice the term $\dfrac{1}{2^{25}}$ will be too small , so we can neglect it and take its approximation as 0 .

$\implies S_1\approx \cancel{ \dfrac{1}{2} } \left[ \dfrac{1-0}{\cancel{\dfrac{1}{2} }}\right]$

$\\\implies \boxed{ S_1 \approx 1 }$

$\rule{200}2$

Now the second sequence is in Arithmetic Progression , with common difference = 3 .

$\implies S_2=\dfrac{n}{2}[2a + (n-1)d]$

Substitute ,

$\implies S_2=\dfrac{25}{2}[2(4) + (25-1)3] =\boxed{ 908}$

Hence sum = 908 + 1 = 909

7 0

2 years ago

Plss help mee it’s not a or b

Luda [366]

C.
don’t actually put that

6 0

3 years ago

Read 2 more answers

Help plssssssss number 1

olga nikolaevna [1]

Answer:

B

Step-by-step explanation:

8 0

2 years ago

Whats the answer for number 13?

Mumz [18]

Answer: option 3

Step-by-step explanation:

so you would do

-2=3(1)-5

-2=3-5

-2=-2

3 0

2 years ago