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3 years ago

Express x2- 8x + 5 in the form (x -a)2-b where a and b are integers.

Mathematics

2 answers:

alukav5142 [94]3 years ago

7 0

Answer:

$(x-4)^{2}-11$

Step-by-step explanation:

x² - 8x + 5 = x² - 8x + (16 - 16) + 5 {we just added 16 and subtractEd it }

= (x - 4)² - 16 + 5 {Reason : x² - 8x + 16 = (x - 4)² }

= (x - 4)² - 11

bija089 [108]3 years ago

5 0

Answer:

(x - 4)² - 11

Step-by-step explanation:

Given

x² - 8x + 5

To obtain the required form use the method of completing the square.

add/subtract ( half the coefficient of the x- term)² to x² - 8x

= x² + 2(- 4)x + 16 - 16 + 5

= (x - 4)² - 11

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5x - 6 = -16 (Show work)

zysi [14]

Answer:

x = - 2

Step-by-step explanation:

Hi there !

5x - 6 = - 16

5x = - 16 + 6

5x = - ( 16 - 6)

5x = - 10

x = - 10 : 2

x = - 2

Good luck !

6 0

3 years ago

Help with this I don't know how to solve

Hunter-Best [27]

Answer:

86.53

Step-by-step explanation:

Area of Triangle Formula: A = 1/2bh

Pythagorean Theorem: a² + b² = c²

Step 1: Draw altitude and label numbers

If we draw a line down the middle, we can see that we get a perpendicular bisector and that we get 2 right triangles with a hypotenuse of 29 and a leg of 3. We need to find h using Pythagorean Theorem in order to use area formula:

3² + b² = 29²

b² = 29² - 3²

b = √832 = h

Step 2: Plug in known variables into area formula:

A = 1/2(√832)(6)

A = 3√832

A = 86.5332

7 0

4 years ago

Equivalent ratio for 5:9

vfiekz [6]

10:18 is an equivalent ratio.

5 0

3 years ago

Which of the following sets of lengths could not be the side lengths of a triangle?

docker41 [41]

To find out if the three side lengths can create a triangle, the three smaller lengths must be greater than the longer length.

$\bf~Option~A$

$\sf~3~meters,5~meters,7~meters$

$\sf3+5=8>7$

So this can create a triangle.

$\bf~Option~B$

$\sf1~yard,1.25~yards,1.5~yards$

$\sf1+1.25=2.25>1.5$

So this can create a triangle.

$\bf~Option~C$

$\sf5~inches,10.5~inches,17~inches$

$\boxed{\sf5+10.5=15.5$

So this cannot create a triangle.

$\bf~Option~D$

$\sf15~millimeters,18~millimeters,30~millimeters$

$\sf15+18=33>30$

So this can create a triangle.

Therefore, your answer is Option C.

8 0

3 years ago

2(n - 1) + 4n = 2(3n - 1)

Sloan [31]

2(n - 1) + 4n = 2(3n - 1)
2n - 2 + 4n = 6n -2
6n - 2 = 6n - 2 (equal)
6n - 6n = 2 - 2
0 = 0

whatever value you put into the place of n, you'll get 0 = 0

3 0

3 years ago