Simplify the expression below.
3(3x + 5) – 7x – 8

Step-by-step explanation:

Question 9:

Hypotenuse = 7

Leg = Hypotenuse / √2 = 7/√2 = 7√2 / 2.

Therefore x = y = 7√2 / 2.

Question 10:

Leg = 10

Since x is also a Leg, x = 10.

Hypotenuse = Leg * √2 = 10√2. => y = 10√2.

Question 11:

Leg = 7

Since x is also a Leg, x = 7.

Hypotenuse = Leg * √2 = 7√2, => y = 7√2.

9514 1404 393

Answer:

  23)  x = ±3i, ±√2

  26)  x = 4/3, (-2/3)(1 ± i√3)

Step-by-step explanation:

23) Put in standard form to make factoring easier.

  x^4 +7x^2 -18 = 0

  (x^2 +9)(x^2 -2) = 0 . . . . factors in integers

Using the factoring of the difference of squares, you can continue to get linear factors in complex and irrational numbers:

  (x -3i)(x +3i)(x -√2)(x +√2) = 0

  x = ±3i, ±√2

___

26) This will be the difference of cubes after you remove the common factor.

  81x^3 -192 = 0

  3(27x^3 -64) = 0

  (3x -4)(9x^2 +12x +16) = 0 . . . . . factor the difference of cubes

The complex roots of the quadratic can be found using the quadratic formula.

  x = (-12 ±√(12^2 -4(9)(16)))/(2(9)) = (-12 ±√-432)/18 = -2/3 ± √(-4/3)

Then the three solutions to the equation are ...

  x = 4/3, (-2/3)(1 ± i√3)

Answer:

D

Step-by-step explanation:

The 1220 feet is positive because the plane is above her.

The 14 feet is negative because the tree is below her.

Because you're comparing distances, you need the absolute value of both distances.

The absolute value of 1220 is 1220 and the absolute value of -14 is 14, so the absolute value of 1220 is greater than the absolute value of -14. The answer is D.

Answer:

79

Step-by-step explanation:

Supplementary are angles that will add up to 180. So to find the missing angle we do 180 - 101 and get 79.

hope this helps (:

Answer:

I already sent u the link from there, even tho, they deleted my question, but yh i set the title as well incase u needed it! Good luck

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

3 bouquets of 3$ is 3*3 = 3^2

4 bouquets of 2$ = 2 * 4

Step-by-step explanation:

I think it will be 1.7

i am not sure

Answer:

The maximum height the rocket reaches is 16.

Step-by-step explanation:

You know that a model rocket is launched in the air and the quadratic function is modeled by the equation y = -16*x² + 32*x where x is measuring time and y is the height of the model rocket.

A quadratic function or function of the second degree is a polynomial function defined by:

y= a*x² + b*x + c

A quadratic function has a maximum or a minimum and the vertex formula is used to get the highest or lowest value of the function. When a> 0, the vertex of the parabola is at the bottom of it, being a minimum (that is, the parabola opens "upward"), and when a <0 the vertex is at the top , being a maximum (that is, the parable opens "downward").

The value of the vertex on the x-axis can be calculated with the expression [tex]x=\frac{-b}{2*a}[/tex]

The value of the vertex on the y axis must be obtained by substituting the value of the vertex on the x axis in the function y= a*x² + b*x + c

In this case, a= -16, b=32 and c=0. Since a<0 the vertex will indicate the maximum of the function.

The value of the vertex on the x-axis is [tex]x=\frac{-32}{2*(-16)}=1[/tex]

The value of the vertex on the y axis  is:

y = -16*1² + 32*1

Solving:

y= -16*1 +32

y= -16 +32

y=16

The maximum height the rocket reaches is 16.

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

according to the question

the equation is

130+2x=180

2x=180-130

2x=50

x=25

Answer:

11

Step-by-step explanation:

hope that helps out :)

Step-by-step explanation:

by collecting like terms =

7y - 12y = -38 - 17

-5y = - 55

by dividing both sides by -5

-5y/-5 = -55/-5

y = 11

Answer:

Square

Step-by-step explanation:

Properties of square:

1) All angles are right angle.

2) opposite sides are parallel

3) all sides are equal.

Answer:

k= 2

y = 32

Step-by-step explanation:

y is inversely proportional to x

y = 16, x = 8

find y when x = 16

k= 2 & y = 32

Answer:

The three consecutive square numbers that added together give 149 are 6, 7 and 8.

Step-by-step explanation:

To determine which are the three square consecutive numbers that added together add up to 149, the following calculation must be performed:

1 x 1 = 1

2 x 2 = 4

3 x 3 = 9

4 x 4 = 16

5 x 5 = 25

6 x 6 = 36

7 x 7 = 49

8 x 8 = 64

9 x 9 = 81

10 x 10 = 100

Thus, we can see that 36 + 49 + 64 gives the result 149. Therefore, the three consecutive square numbers that added together give 149 are 6, 7 and 8.

Answer:

Can you put a number line in the picture?

Step-by-step explanation:

That would really help

Answer:

I think its C but without the number line a cant tell.

Step-by-step explanation:

Answer:help me

Step-by-step explanation:

Answer:

x3

Step-by-step explanation:

Answer:

y = -3x + 30.

Step-by-step explanation:

The slope of line = (9- (-3)) / (7 - 11)

= 12/-4

= -3.

We use the point-slope form of a straight line:

y - y1 = m(x - x1)        where m = slope = -3 and (x1, y1) = (7, 9)

y - 9 = -3(x - 7)

y - 9 = -3x + 21

y = -3x + 21 + 9

y = -3x + 30.

You haven't supplied a list of possible answers so the correct answer might not  be in the above form but will be equivalent to it.

Step-by-step explanation:

The shaded area shows the region where it is enclosed in sample space S but does not include the subset B.

Hence it is the complement of B. (A)

If event B is a subset of the sample space S, hence the area represented by the shaded part is complement of B

The set is a collection of members and things.

According to the venn diagram given, the whole set including the set B is the universal set.

The part not shaded is not part of the universal set, hence, we name them the complement of a set.

If event B is a subset of the sample space S, hence the area represented by the shaded part is complement of B

Learn more on set here: https://brainly.com/question/2166579

#SPJ2

Answer:

radio relationships?what do u mean?

sometimes

the description is describing SSA, which is NOT a type of congruence.

since the congruent angle is non-included (which means it is not in between the two congruent sides), we can't say for sure if the triangles are congruent.

this is because the third side of the triangle is unknown, and that side might not be congruent to the same side in the other triangle.

i hope this helps!

Answer:

The zeroes are -1 and 13

Positive value: [tex]x = 13[/tex]

Step-by-step explanation:

Given

[tex]2x^2 - 24x = 26[/tex]

Solving (a): The zeros

[tex]2x^2 - 24x = 26[/tex]

Subtract 26 from both sides

[tex]2x^2 - 24x - 26= 26-26[/tex]

[tex]2x^2 - 24x - 26= 0[/tex]

Divide through by 2

[tex]\frac{1}{2}(2x^2 - 24x - 26) = \frac{1}{2} * 0[/tex]

[tex]x^2 - 12x - 13 = 0[/tex]

Expand

[tex]x^2 - 13x + x - 13 = 0[/tex]

Factorize:

[tex]x(x-13)+1(x-13)=0[/tex]

[tex](x+1)(x-13)=0[/tex]

Split:

[tex]x +1 =0\ or\ x-13=0[/tex]

[tex]x =-1\ or\ x=13[/tex]

Hence, the zeroes are -1 and 13

Solving (b): The positive value of x

In (a) above:

[tex]x =-1\ or\ x=13[/tex]

The positive value is:

[tex]x = 13[/tex]

$3.60 is the sales tax

After tax the price is $63.60

Answer

$63.60

Step-by-step explanation:

6% of 60 = 3.60

3.60+ 60= 63.60

Answer:

-(135/31), 60/31

Step-by-step explanation:

y=60/31

x=-(135/31)

Answer:

line mo

Step-by-step explanation:

Because the triangle are congrument

RST and MNO are the triangle

RT is a line in the RST triqangle

it is equal to the MO line in MNO

Given:

Two triangles.

To find:

The congruent statement for the given triangles.

Solution:

In triangle ABC and PQR,

[tex]AB=PQ[/tex]             (Given)

[tex]BC=QR[/tex]             (Given)

[tex]AC=PR[/tex]             (Given)

All three corresponding sides are equal. so, corresponding vertices of A, B, C are P, Q, R respectively.

[tex]\Delta ABC\cong \Delta PQR[/tex]              (SSS postulate)

Therefore, the correct option is 3.

Answer:

yes

Step-by-step explanation:

By ASA similarity;

<b=<a

<c=<e

DE=DC