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Vadim26 [7]
3 years ago
11

I need help with these 2 questions

Mathematics
1 answer:
bagirrra123 [75]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

(a)

x² - 6x + 4 = 0 ( subtract 4 from both sides )

x² - 6x = - 4

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 3)x + 9 = - 4 + 9

(x - 3)² = 5 ( take the square root of both sides )

x - 3 = ± \sqrt{5} ( add 3 to both sides )

x = 3 ± \sqrt{5} ← exact solutions

(b)

4x² + 16x + 9 = 0

To complete the square

The coefficient of the x² term must be 1

Factor out 4 from 4x² + 16x

4(x² + 4x) + 9 = 0

add/subtract ( half the coefficient of the x- term )² to x² + 4x

4(x² + 2(2)x + 4 - 4 ) + 9 = 0

4(x + 2)² - 16 + 9 = 0

4(x + 2)² - 7 = 0 ( add 7 to both sides )

4(x + 2)² = 7 ( divide both sides by 4 )

(x + 2)² = \frac{7}{4} ( take the square root of both sides )

x + 2 = ± \sqrt{\frac{7}{4} } = ± \frac{\sqrt{7} }{2} ( subtract 2 from both sides )

x = - 2 ± \frac{\sqrt{7} }{2} ← exact solutions

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How do I solve out 5x188
mihalych1998 [28]

Answer:

940

Step-by-step explanation:

 188

<u>×    5</u>

 940

--------------------------------------------------------

8 * 5 = 40

Carry the 4 to the next 8

8 * 5 = 40

Add the 4 to the 40

40 + 4 = 48

Carry the 4 to the 1

1 * 5 = 5

Add the 4

5 + 9

= 940

*Hope this helps .^.*

5 0
3 years ago
Enter a positive common favor (other than 1) of the fractions numerator and denominator
Romashka [77]

Answer:

7

Step-by-step explanation:

You can divide both 14 and 21 by seven and get a whole number.

6 0
3 years ago
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HELP PLEASE ASAP
Irina18 [472]
D is your answer if you times 8 and 2 together to get your A& B
5 0
3 years ago
Ben made a model (shown below) of the square pyramid he plans to build when he grows up.
elena-s [515]

Answer:

336 m^2

Step-by-step explanation:

The surface area of a square pyramid is the sum of the area of the squared base + 4 times the area of each triangular face, therefore:

A=A_b + 4A_t

where:

A_b=L^2 is the area of the base, where

L is the length of the base

A_t=\frac{1}{2}Lh is the area of each triangular face, where

h is the height of the face

Substituting,

A=L^2+2Lh

For the model in this problem,

L = 12

h = 8

Therefore, the surface area here is:

A=12^2 +2(12)(8)=336

4 0
3 years ago
Read 2 more answers
What is...<br> 6x-2y=5<br> 3x+2y=-2
artcher [175]
<span>6x-2y=5
</span><span>x-intercept = 5/6
<span>  y-intercept = 5/-2
</span></span><span>3x+2y=-2
</span><span> x-intercept = -2/3
  y-intercept = -2/2</span>
7 0
3 years ago
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