MATHEMATICS HIGH SCHOOL

Simplify 7√2 plsssssssss

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

Multiply numerator and denominator by

√

7

:

Explanation:

2

√

7

⋅

(

√

7

√

7

)

=

2

√

7

7

.

That is considered "rationalized" since the denominator is now a rational number, 7.

Example: Simplify

2

3

√

12

Simplify the denominator first, then rationalize.

2

3

√

4

√

3

=

2

3

⋅

2

√

3

=

2

6

√

3

and reduce the

2

6

=

1

3

√

3

.

NOW, multiply top and bottom by

√

3

:

1

3

√

3

⋅

(

√

3

√

3

)

=

√

3

3

⋅

3

=

√

3

9

.

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Select the following numbers that cannot represent the area of a polygon.a. 68b. 40c. -5d. square root 30e. 0f. -200
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How do you evaluate
lim(x->0) sin(9x)/6x?

Answers

Hello,
we know that lim sin x /x =1 when x->0

lim sin(9x)/6x=1/6 lim sin (9x)/ x=1/6 lim sin( 9x) /(9x)  *9=9/6=3/2

What is the equation in slope-intercept form of the line that passes through the points ( -4 , 2) and (12, 6)?Group of answer choices

y = 0.25x − 4.5

y = 4x − 42

y = 4x + 18

y = 0.25x + 3

Answers

Answer:

y = 0.25x + 3

Step-by-step explanation:

solve for slope:

(6-2)/(12+4) = 1/4

solve for b:

6 = 12(1/4) + b

6 = 3 + b

b = 3

equation can also be y = 1/4x + 3

Step-by-step explanation:

let the equation be y = mx + b.

m = (6 - 2)/(12 - (-4)) = 1/4

sub (12, 6):

6 = 1/4(12) + b

b = 3

therefore, equation of the line is y = 1/4x + 3, aka option 4

Topic: coordinate geometry

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With a 20% discount, Ella was able to save $40 on a dress. What was the original price of the dress?

Answers

The original price of the dress was $200. This is because 20% of 200 is $40 which was the price after the discount.
Hope this helps :>

What are the coordinates of the vertex for f(x) = x2 + 4x + 10? (1 point) (−2, 2) (2, 2) (−2, 6) (2, 6)

Answers

You have to complete the square to get it into vertex form. Do this by setting the function equal to zero and at the same time moving the constant over to the other side of the equals sign so you have this: . Now we can complete the square on the polynomial by taking half the linear term, squaring it, and adding it to both sides. Our linear term is 4. Half of 4 is 2, and 2 squared is 4, so we add 4 to both sides: and simplify to get . In this process we have created a perfect square binomial on the left, which happens to be . Now move the -6 back over by addition to get . The vertex is found at (-2, 6), the third choice down.

Answer:

A or C

Step-by-step explanation:

x = x2 + 4x + 10

x = 6x + 10

-5x = 10

x = -2

Determine the direction in which the parabola opens, and the vertex. y =x2 + 6x + 14

Answers

A parabola can be written in the form y = ax^(2) + bx + c.  If x is squared then the parabola open vertically (either upwards or downwards) while if y is squared then the parabola opens horizontally to the left or right. 
since in this equation x is squared the the parabola opens either upwards or downwards vertically.


If the coefficient a is positive, then that means that the parabola has a minimum value and opens upwards (smiley face) while if a is negative then that means the parabola has a maximum and opens downwards (sad face)
since in this equation a is positive then that means that not only does the parabola open on the vertical plane, but it also has a minimum and opens upwards (smiley face).

Someone do this thanks

Answers

Answer:

2

Step-by-step explanation:

12-2= m(2+3)

m= 10/5=2
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