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3 years ago

A student expanded an expression, as shown. Is the student's work correct? Explain why or why not.

Mathematics

2 answers:

Schach [20]3 years ago

7 0

Answer:

No, the work is not correct. The distributive property was not used properly to expand the expression. Negative 6 should be multiplied by both terms in the parentheses. The second product should be -6 times -2/13 to get positive 12/13.

Step-by-step explanation:

Just answered the question. Just copy and paste its the work to work answer

Ugo [173]3 years ago

4 0

Answer:

No.

Step-by-step explanation:

Honestly, I'm not entirely certain. The steps are formatted very weirdly and I'm not sure what they are.

I believe the first step is -6(4x-213) which is a different expression than the last step which is (-24x-1213) but those aren't very similar.

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zloy xaker [14]

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3 years ago

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2 years ago

Find an equation for the perpendicular bisector of the line segment whose endpoints

TEA [102]

Answer:

y= -2x -8

Step-by-step explanation:

I will be writing the equation of the perpendicular bisector in the slope-intercept form which is y=mx +c, where m is the gradient and c is the y-intercept.

A perpendicular bisector is a line that cuts through the other line perpendicularly (at 90°) and into 2 equal parts (and thus passes through the midpoint of the line).

Let's find the gradient of the given line.

$\boxed{gradient = \frac{y1 -y 2}{x1 - x2} }$

Gradient of given line

$= \frac{1 - ( - 5)}{3 - ( - 9)}$

$= \frac{1 + 5}{3 + 9}$

$= \frac{6}{12}$

$= \frac{1}{2}$

The product of the gradients of 2 perpendicular lines is -1.

(½)(gradient of perpendicular bisector)= -1

Gradient of perpendicular bisector

= -1 ÷(½)

= -1(2)

= -2

Substitute m= -2 into the equation:

y= -2x +c

To find the value of c, we need to substitute a pair of coordinates that the line passes through into the equation. Since the perpendicular bisector passes through the midpoint of the given line, let's find the coordinates of the midpoint.

$\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2}) }$

Midpoint of given line

$= ( \frac{3 - 9}{2} , \frac{1 - 5}{2} )$

$= ( \frac{ - 6}{2} , \frac{ - 4}{2} )$

$= ( - 3 , - 2)$

Substituting (-3, -2) into the equation:

-2= -2(-3) +c

-2= 6 +c

c= -2 -6 (-6 on both sides)

c= -8

Thus, the equation of the perpendicular bisector is y= -2x -8.

5 0

3 years ago

What equation does the model represent?

Vesnalui [34]

It would be 62+23=94 because you'll need to add the tens and the ones, then add it up

I think-_-

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3 years ago

Find the value of X.

miv72 [106K]

Answer:

x = 8√2 units

Step-by-step explanation:

On a 45-45-90 triangle, the ratio between one of the legs (both are congruent) and the hypotenuse is 1 : √2 (Improper but it still sends the message). That means the hypotenuse is √2 times as long as a leg.

x = 8 × √2

x = 8√2 units

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3 years ago