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3 years ago

Will mark brainliest :)

Mathematics

1 answer:

jek_recluse [69]3 years ago

3 0

Answer:

Step-by-step explanation:

The equation of the parabola is of the form

y = ax² + c ( where c is the y- intercept )

Here c < 0

Since the parabola has a maximum value and opens down then a < 0

Thus the only equation that could represent this parabola is

y = - x² - 3 → D

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What is the value of x?<br><br> Four-fifths x minus 1/10 = 3/10

3241004551 [841]

Step-by-step explanation:

2/5

I think this is the answer

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3 years ago

The diagonal of a square is 2.42 cm. Find<br>the area of the square.

OLEGan [10]

Answer:

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A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the

AnnZ [28]

Answer:

Here you go

Step-by-step explanation:

24 original width

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7 0

3 years ago

The third term of an arithmetic sequence is equal to 9 and the sum of the first 8 term is 42. Find the first term and the common

zloy xaker [14]

Answer:

The first term is 14

The common difference is -2.5

Step-by-step explanation:

we know that

The rule to calculate the an term in an arithmetic sequence is

$a_n=a_1+d(n-1)$

where

d is the common difference

a_1 is the first term

we have that

The third term of an arithmetic sequence is equal to 9

$a_3=9$

$n=3$

substitute

$9=a_1+d(3-1)$

$9=a_1+2d$ ----> equation A

The rule to find the sum of the the first n terms of the arithmetic sequence is equal to

$S=\frac{n}{2} [2a_1+(n-1)d]$

we have

The sum of the first 8 term is 42

$S=42$

$n=8$

substitute

$42=\frac{8}{2} [2a_1+(8-1)d]$

$42=4[2a_1+7d]$

$10.5=2a_1+7d$ ----> equation B

Solve the system of equations

$9=a_1+2d$ ----> equation A

$10.5=2a_1+7d$ ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

the solution is (14,-2.5)

see the attached figure

therefore

$a_1=14\\d=-2.5$

The first term is 14

The common difference is -2.5

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