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puteri [66]
3 years ago
7

What is the following product?

Mathematics
1 answer:
umka21 [38]3 years ago
5 0

Answer:

10 sqrt 3.

Step-by-step explanation:

sqrt30 = sqrt10 * sqrt 3

so sqrt30 * sqrt10

= sqrt10 * sqrt10 * sqrt3

= 10 sqrt 3.

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6 times the difference of a number and 4 equals 7
Nonamiya [84]
6( x - 4) = 7
6 x - 24 = 7
6 x = 7 + 24
6 x = 31
x = 31/6 

6 ( 31/6 - 4) = 7 
186/6 - 24 = 7
186/6 = 144/6 = 7

42/6 = 7 
7 = 7 
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3 years ago
Can someone please answer my unanswered question on my profile please I will give brainliest
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A polygon with four sides
Misha Larkins [42]
A polygon with four sides is known as a quadrilateral.
Quadrilaterals have four sides and four angles as well.
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Fill in the blank with a constant, so that the resulting quadratic expression is the square of a binomial. $\[x^2 + 22x + \under
saw5 [17]

Answer:

$\[x^2 + 22x + 121\]$

Step-by-step explanation:

Given

$\[x^2 + 22x + \underline{~~~~}.\]$

Required

Fill in the gap

Represent the blank with k

$\[x^2 + 22x + k\]$

Solving for k...

To do this, we start by getting the coefficient of x

Coefficient of x = 22

<em />

Divide the coefficient by 2

Result = 22/2

Result = 11

Take the square of this result, to give k

k= 11^2

k= 121

Substitute 121 for k

$\[x^2 + 22x + 121\]$

The expression can be factorized as follows;

x^2 + 11x + 11x + 121

x(x + 11)+11(x+11)

(x+11)(x+11)

(x+11)^2

<em>Hence, the quadratic expression is </em>$\[x^2 + 22x + 121\]$<em></em>

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3 years ago
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A line that includes the point (1, 3) has a slope of -7. What is its equation in slope-intercept
Alex787 [66]

Answer:

y = -7x + 10

Step-by-step explanation:

Using a point slope form equation

y - y1 = m( x - x1)

Given

Point = ( 1 , 3)

Slope = -7

Insert the values into

y - y1 = m(x - x1)

x1 = 1

y1 = 3

y - 3 = m( x - 1)

m = -7

y - 3 = -7(x - 1)

Using a slope intercept form equation

y = mx + c

Open the bracket

y - 3 = -7x + 7

y = -7x + 7 + 3

y = -7x + 10

The equation of the line is

y = -7x + 10

6 0
3 years ago
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