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2 years ago

Solve the following quadratic equation by rearranging and then factorising x^2 + 7x + 19 = 9

Mathematics

2 answers:

IRISSAK [1]2 years ago

6 0

Answer:

x = -5 & x = -2

Step-by-step explanation:

x^2 + 7x +10 = 0 you takeaway 9 as quadratic equations have to equal 0

(x+5)(x+2) = 0 you find 2 numbers that go into 10 that add to make 7 and multiply to make 10

(x+5) = 0 so x =-5 & (x+2) = 0 so x =-2

wolverine [178]2 years ago

5 0

Answer:

your lucky you did have a online lessons earlll

Step-by-step explanation:

The following are the temperatures in °C for the first 14 days of January:

-6, -2.5, 2, 2.5, -0.5, 5, 10, -3, -7, 3, -1, 7, 1, 4.5

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Draw at least six different sized rectangles that have an area of 64 square units

olga_2 [115]

Let

x------> the length of the rectangle

y------> the width of the rectangle

we know that

The area of a rectangle is equal to

$A=x*y$

$A=64\ units^{2}$

$x*y=64$ --------> equation 1

let's assume different values of x to get the different values of y

case 1) For x=64 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/64$

$y=1\ units$

the dimensions of the rectangle are 64 units x 1 unit

see the draw in the attached figure N 1

case 2) For x=32 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/32$

$y=2\ units$

the dimensions of the rectangle are 32 units x 2 units

see the draw in the attached figure N 2

case 3) For x=16 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/16$

$y=4\ units$

the dimensions of the rectangle are 16 units x 4 units

see the draw in the attached figure N 3

case 4) For x=30 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/30$

$y=\frac{32}{15} =2\frac{2}{15} \ units$

the dimensions of the rectangle are 30 units x 2 (2/15) units

see the draw in the attached figure N 4

case 5) For x=40 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/40$

$y=1.60\ units$

the dimensions of the rectangle are 40 units x 1.60 units

see the draw in the attached figure N 5

case 6) For x=60 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/60$

$y=\frac{16}{15} =1\frac{1}{15} \ units$

the dimensions of the rectangle are 60 units x 1 (1/15) units

see the draw in the attached figure N 6

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alexgriva [62]

Answer:

Step-by-step explanation:

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zvonat [6]

Answer:

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Hope it helps.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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