When the sum of a number plus 3 is squared it is 11 more than the sum of the number plus 2 when squared.

Answers

Answer 1

Answer: $x-number\n\n (x+3)^2-11=(x+2)^2\n\n x^2+2*3*x+3^2-11=x^2+2*2*x+4\n\n x^2+6x+9-11=x^2+4x+4\ \ |-x^2\n\n6x-2=4x+4\n\n6x-4x=4+2\n\n2x=6\ \ |:2\n\n x=3$

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If y is 9 and x is 12, what additional information is necessary to show that triangle DUM is congruent to triangle MAP using the SAS postulate?

Answers

Δ DUM Δ MAP

hypotenuse: 15 2y-3
short leg: 12 0.5x + 6

y = 9 ⇒ 2(9) - 3 = 18 - 3 = 15 Congruent with the hypotenuse of Δ DUM
x = 12 ⇒ 0.5(12) + 6 = 6 + 6 = 12 Congruent with the short leg of Δ DUM

SAS postulate states that two triangles are congruent if 2 of its sides and 1 angle have equal measure. Both the hypotenuse and short leg are equal in measure. Thus, both triangles are congruent with each other.

Answer: DM is congruent to PM

Step-by-step explanation: TOOK QUIZ!!!

Determine whether the following pairs of lines are parallel,perpendicular,or neither. y=2x+1 2x+y=7

Answers

In order to answer this one, you have to remember:

--> Parallel lines have equal slopes.

--> Perpendicular lines have negative reciprocal slopes.

(One slope = - [ 1/the other slope ]

The question gives us two lines:

#1). y = 2x + 1
#2). 2x + y = 7

The first equation is in nice slope-intercept form, and we can see
right away that the slope of its graph is 2 .

The second equation is not in slope-intercept form, so we need to
massage it slightly before we can spot the slope of its graph.

2x + y = 7

Subtract 2x from each side: y = -2x + 7 . <== slope-intercept form.
Slope = -2 .
Now we know both slopes.

#1). Slope = 2
#2). Slope = -2

Are the slopes equal ? I don't think so. 2 is not equal to -2 .
The lines are not parallel.

Are the slopes negative reciprocals ? I don't think so.
2 is not equal to -[ 1/(-2) ].
The lines are not perpendicular.

Add or subtract the following mixed fractions. all answers must be in simplest form. show all work 7 2/5 - 6 1/5 =

Answers

7 2/5 - 6 1/5
first subtract the fractions, since the denominators are the same.
2/5 - 1/5 = 1/5
Then subtract the whole numbers.
7- 6 = 1
So your answer is 1 1/5
Hope this helps! :)

The answer is: 1 ⅕ .
________________________________________________
7 ⅖ − 6 ⅕ = 1 ⅕ .
________________________________________________

What is the value of x in the solution to the following system of equations?x − 2y = 2
3x + y = 6

Answers

x -2y = 2
3x +y = 6 multiplie both sides by 2 => 6x +2y = 12

x -2y = 2
6x +2y = 12
------------------- assum the same terms
7x 0 = 14

x = 14/7

x = 2

Factor the following trinomial by grouping

9x^3+30x^2+24x

Answers

Factor

9x3+30x2+24x
9x3+30x2+24x
=3x(3x+4)(x+2)

$9x^3+30x^2+24x \n \n gcf = 3x \n \n 3x ( (9x^3)/(3x) + (30x^2)/(3x) + (24x)/(3x) ) \n \n 3x(3x^2 + 10x + 8) \n \n 3x ( 3x^2 + 6x + 4x + 8) \n \n 3x(3x(x + 2) + 4(x + 2)) \n \n 3x(x + 2)(3x + 4) \n \n$

The final result is: 3x(x + 2)(3x + 4).

Which complex number is equivalent to (7-9i)-(-1+3i)?

Answers

just like algebra
i lis like x
distribute invisible -1 to second set
-1(-1+3i)=1-3i

now we have
7-9i+1-3i
8-12i

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