Simplify

Note ; In this case, ^ means to power
p^2 - 2pq + q ^2
over
p^3 - p{q^2} + {p^2}q - q^2

Answer:

Step-by-step explanation:

Answer:

so the coordinates of C are (12,29)

Step-by-step explanation:

as we know that CD is a line segment and M is its mid-point in order to find the coordinates of C we will use mid-point formula

[tex]M(x,y)=(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]

putting the values of known coordinates

[tex](15,-6.5)=(\frac{x1+18}{2},\frac{y1+(-16)}{2})[/tex]

comparing the coordinates separately

[tex]15=\frac{x1+18}{2}[/tex]                    and   [tex]-6.5=\frac{y1-16}{2}[/tex]

15×2=x1+18                   and     -6.5×2=y1-16

30=x1+18                     and         13=y1-16

30-18=x1                    and           13+16=y1

12=x1                            and             29=y1

so the coordinates of C are (12,29)

in order to check the values put it back in the mid-point formula to find the coordinates of M

I HOPE THIS WILL HELP YOU :)    

Answer:

5 and 29

Step-by-step explanation:

If k= -2, l = 3, m = 4.

Then to solve

k + l + m and K^2 + l^2 + m^2 , we have to substitute the value of k, l and m with the respective values.

So for k + l + m :

k + l + m = -2 + 3 + 4 = -2 + 7 = 5

And for K^2 + l^2 + m^2:

K^2 + l^2 + m^2 = -2^2 + 3^2 + 4^2 = 4 + 9 + 16 = 29

Hope this helps

Answer: distributive property

Step-by-step explanation:

[tex]5(18)=2(18)+3(18)[/tex]

[tex]18(2+3) = 2* 18+ 3*18[/tex]

[tex]18*5 = 2* 18+ 3*18[/tex]

Answer: Distributive Property

Step-by-step explanation:

Answer:

  2x^2 -x +1 = 0

Step-by-step explanation:

For roots α and β, the original equation can be factored as ...

  f(x) = 2(x -α)(x -β)

If we add 1 to each of those roots, the factors become ...

  g(x) = 2(x -(α+1))(x -(β+1))

This can be rearranged to be ...

  g(x) = 2((x -1) -α)((x -1) -β)

That is, we can get the desired equation by replacing x with x-1, effectively shifting the function right one unit.

  2(x -1)² +3(x -1) +2 = 0

  2x^2 -x +1 = 0

Answer:

-5 - 2

Step-by-step explanation:

Solve each of the following

A is -6 + 9 which equals 3

B is 1 - (-2) which simplifies into 1 + 2 which equals 3

C is -9 / -3. the negatives cancel leaving 9/3 which is 3

D is -5 - 2 which simplifies into -5 + -2 which equals -7

Answer:

[tex]P(\text{Powdered sugar donut})=\dfrac{1}{15}[/tex] .

Step-by-step explanation:

It is given that Wendy's mother recorded how many donuts she has eaten over the past few months.

Jelly-filled donuts = 6

Maple donuts = 53  

Glazed donuts = 11  

Powdered sugar donuts = 5

Now,

Total number of donuts = 6 + 53 + 11 + 5 = 75

We need to find the experimental probability that the next donut Wendy eats will be a powdered sugar donut.

[tex]P(\text{Powdered sugar donut})=\dfrac{\text{Powdered sugar donuts}}{\text{Total number of donuts}}[/tex]

[tex]P(\text{Powdered sugar donut})=\dfrac{5}{75}[/tex]

[tex]P(\text{Powdered sugar donut})=\dfrac{1}{15}[/tex]

Therefore, [tex]P(\text{Powdered sugar donut})=\dfrac{1}{15}[/tex].

Answer:

Hey there!

Your answer would be 1/3 (12) hours.

Since it can fill 1/12 of the tank in 1/3 hour, then in 12 1/3 hr's, the tank would be filled.

Hope this helps :)

Answer:

1/3 * 12

4 hours

Step-by-step explanation:

We can use ratios to solve

1/12 tank          1 tank

---------------- = ----------------

1/3 hour          x hours

Using cross products

1/12 x = 1/3 *1

Multiply each side by 12

12 * 1/12 x = 1/3 * 12

x = 4

4 hours

Answer:

Step-by-step explanation:

to set a spreadsheet on excel, you start with the category labels on the top row, then you go down in columns. Then you enter the scores that you want for each category . after you are done with entering the scores, you found the average percent of each category by dividing the total amount of scores by the number of score in one cell . For Example, the total score was 1530 and there was 20 , you got 76.5%. you continue this for each category. Then multiplied it by the category weights. Finishing it off, I added each categories’ answers up and got my final grade of 76.5%. The letter grade this student got was a C.(google spread sheet)

Answer:

yes, if AB ≅ DE

Step-by-step explanation:

Triangles are said to be congruent if they have the same sides and the same angles.

The following measures are used to determine if triangles are congruent:

1) Angle-side-angle: If two angles and a side of a triangle is equal to two angles and corresponding side of another triangle, then they are congruent.

2) Side-side-side: If all three sides of a triangle is equal to three sides of another triangle, then the two triangles are congruent.

3) Side angle side: If two sides and an included angle of a triangle is equal to the two sides and corresponding angle of another triangle, then they are congruent.

4) Hypotenuse - leg: If the hypotenuse and one leg of a triangle is equal to the hypotenuse and leg of another triangle then they are congruent.

From the triangles  DEF and ABC, already, they already have one equal triangle that is ∠F = ∠B and an equal side i.e DF = AC.

To satisfy congruence, two sides and an angle have to be equal, therefore if AB = DE then the two triangles would be congruent

Answer:

D). no, because the hypotenuses must have different lengths

Step-by-step explanation:

I just did the assignment on Edge and it's 100% correct.

Hope this helps!! Also heart and rate if you found this answer helpful!!  :)

Answer:

the range are all the value of y :{5,8,3,-4}

Step-by-step explanation:

the range are all the value of y :{5,8,3,-4}

Answer:

{−4, 3, 5, 8}

Step-by-step explanation:

i just took the test

Answer:

y = negative 2 (x minus one-half)

Step-by-step explanation:

The equation of a line is given as:

y = mx + c, where m is the slope and c is the intercept on the y axis.

The equation of a line going through (0, 1) and (1, - 1) is calculated using:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\ y-1=\frac{-1-1}{1-0}(x-0)\\ y-1=-2x\\y=-2x+1[/tex]

The solution of two lines is at their point of intersection. The equation of the line that would not have any solution with y = -2x + 1 would be a line that is parallel to y = -2x + 1. Since the two lines would be parallel to each other, their would be no intersection and therefore no solution.

Two lines are said to be parallel to each other if they have the same slope. The slope of y = -2x + 1 is gotten by comparing with y = mx + c, therefore the slope m = -2. From the options the only line with a slope m = -2 is y = -2(x -1/2). Therefore y = -2(x -1/2) is parallel to y = -2x + 1 and would have no solution

Answer:

b

Step-by-step explanation:

i did test

Answer:

a

Step-by-step explanation:

Answer: 3.78

Step-by-step explanation:

Because she bought 2 $1.89 loaves, she spent 2 * 1.89, or 3.78 dollars.

Hope it helps <3

Answer:

Step-by-step explanation:

This is because you have to multiply the number of 1.89 by 2. This is equal to 3.87.

Given:

Price of one bread = 1.89

Unknown:

Total money used = ?

So,

1.89 * 2 = 3.87

or

1.89 + 1.89 = 3.87

Hope this helped,

Kavitha

Answer:

12.25

Step-by-step explanation:

To find the c value in the equation, we need to divide b by two and then square it.

b= -7 and -7/2 is 3.5

Then we square 3.5 and we get 12.25

Answer:

(x+0)^2-7

Step-by-step explanation:

x^2-7 to complete the square use the formula (b/2)^2 in order to create a new term.

ax^2+bx+c in this case b=0

(x+0)^2-7

hope it works

Answer:

I believe the answer is C.

━━━━━━━☆☆━━━━━━━

▹ Answer

35x + 72y

▹ Step-by-Step Explanation

(38x + 61y) - (3x - 11y)

38x + 61y - (3x - 11y)

38x + 61 y - 3x + 11y

35x + 61y + 11y

35x + 72y

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

The pair of numbers that has a product of ac and a sum of b = (+2, +8)

The factored form of the trinomial = (x+2) (x+8)

Step-by-step explanation:

ax² + bx + c = 0

This is in the form of a trinomial algebraic expression

Given trinomial: = ax² + 10x + 16

Where a = 1, b= 10, c= 16

To find the pair of numbers that has a product of ac and a sum of b, we would solve the equation.

Using factorisation method:

ac = a×c = 1×16 = 16

Let's find the factors of 16 whose sum gives +10 and product gives +16

Factors of 16 = 1, 2, 8, 16

+2 + +8 = +10

+2 × +8 = +16

The factors are +2 and +8

The pair of numbers that has a product of ac and a sum of b = (+2, +8)

x² + 10x + 16 = x + 2x + 8x + 16

x² + 10x + 16 = x(x+2) + 8(x+2)

= (x+2) (x+8)

The factored form of the trinomial = (x+2) (x+8)

Answer:

(x+2) (x+8)

Step-by-step explanation:

Answer:

The correct answer is A. [tex](-11, -9)[/tex].

Step-by-step explanation:

Given that the point is (8,6)

Let this point be A(8,6).

The composition is T3,30 RO,-180º

First translate the point by 3,3.

Let this point becomes A'.

A' is formed by translation of point A by 3,3

i.e.

x coordinate of A' = x coordinate of A + 3 and

y coordinate of A' = y coordinate of A + 3

So, A' (8+3, 6+3)

So, A'(11,9)

Now, a rotation of -180º is applied to point A'.

Let it becomes A''.

By a rotation of -180º,  the coordinate gets changed by 2 quadrants.

A is in 1st quadrant because both x and y coordinates are positive.

A'' will be in 3rd quadrant where both x and y coordinates are negative.

Please refer to the attached image for the graphical representation of A, A' and A''.

So, the answer will be option A. [tex](-11, -9)[/tex].

Answer:

B - 13 and 15

Step-by-step explanation:

MARK AS YK... Pweeeez

Answer:

B

Step-by-step explanation:

To solve this, we just need to keep in mind the following:

Vertical angles are always congruent.

Vertical angles are formed by a pair of intersecting lines. The angles across from each other are what we call vertical angles.

So, to find the congruent pair of angles, we just need to find a pair of vertical angles.

In the options given, the only option with a pair of vertical angles would be <13 and <15.

There are a few options that would be congruent if the line segments were parallel, but that is not a given.

Answer:

We need to find how much more or less the ratio becomes

1.61 / 23 = 0.07

we multiply 0.07 with 1 to make the ratio even and get your answer

1 x 0.07 = 0.07 on the map

Hope this helps

Step-by-step explanation:

Answer: slope is 1

y- intercept =5

x-0,1

y- 5,6

Step-by-step explanation:

This equation is written in y = mx + b form where the m represents

the slope of the line and the b represents the y-intercept.

The equation y = x + 5 can be thought of as [tex]y = \frac{1x}{1} + 5[/tex].

So we can see that our slope is 1.

Answer:

C

Step-by-step explanation:

A = [tex]\pi[/tex]r^2 h/3

A= 235.62

B = [tex]\pi[/tex]r^2 h

B = 235.62

They are equal

Answer:

Step-by-step explanation:

-2x + 3 = 0

-2x = -3

x = 3/2

-x^2 + 2x + 3 = (-3/2)^2 + 2 × 3/2 + 3

= 9/4 + 3 + 3

= 9/4 + 6

= 33/4

Hope this helps

plz mark as brainliest!!!!!!

Answer:

Step-by-step explanation:

-2x + 3 = 0

-2x = -3

x = 3/2

-x^2 + 2x + 3 = (-3/2)^2 + 2 × 3/2 + 3

= 9/4 + 3 + 3

= 9/4 + 6

= 33/4

or 8 1/4 as a mixed number

Answer:

5/8

Step-by-step explanation:

apple trees to pear trees=5/2 to peach trees=(5/2)/4=5/8

Answer:

93.7%  of the lifetimes  are within 3.8  standard deviations of the mean  

Step-by-step explanation:

   Generally Chebyshev's Theorem, can be mathematically represented as  

   [tex]1 - \frac{1}{k^2}[/tex]%

The percentage  of these lifetimes that are within k=3.8 standard deviations of the mean is mathematically  evaluated using Chebyshev's Theorem as follows      

        [tex]1 - \frac{1}{k^2}[/tex]%  [tex]= (1 - \frac{1}{3.8^2} )[/tex]% =  [tex]= 93.07[/tex]%

So from the above calculation we see that 93.7%  of the lifetimes  are within 3.8  standard deviations of the mean  

Answer:  0π

Step-by-step explanation:

[tex]sin\bigg(\dfrac{3\pi}{2}+x\bigg)+sin\bigg(\dfrac{3\pi}{2}+x\bigg)=-2\\\\\\2sin\bigg(\dfrac{3\pi}{2}+x\bigg)=-2\\\\\\sin\bigg(\dfrac{3\pi}{2}+x\bigg)=-1\\\\\\\dfrac{3\pi}{2}+x\bigg=sin^{-1}(-1)\\\\\\\dfrac{3\pi}{2}+x=\dfrac{3\pi}{2}\\\\\\\large\boxed{x=0}[/tex]

Answer:

(4x+1)(x²-2)

Step-by-step explanation:

one way to determine the factors of 4x^3 + x^2 - 8x - 2 by grouping:

x²(4x+1)-2(4x+1)

(4x+1)(x²-2)

Answer:

(x^2-2)(4x+1)

Step-by-step explanation:

4x^3 + x^2 - 8x - 2

Group:

(4x^3 + x^2)+( - 8x - 2)

Factor out as much as possible: (The GCF)

x^2(4x+1)-2(4x+1)

Regroup:

(x^2-2)(4x+1)

We cannot simplify this further because 3 and 5 have no factors in common, other than 1. So we just leave it as is.