SIMPLIFYING ALGEBRAIC EXPRESSIONS

4(b-3s) use b = -8 and s = 3

Answer: -3p^2-8p-3

Step-by-step explanation: By distributing we get, -3p^2-6p-2p-3. Then simplify accordingly.

To figure out this problem, we need to break down the steps:

-3p(p + 2) - (2p + 3)

because -3p is next to the equation in parentheses, (p + 2), you should multiply -3p into both p and 2

-3p x p = -3p² (if you multiply a variable (p) by another of the same variable with no power, it becomes squared)

-3p x 2 = -6p

so the first part of the equation went from -3p(p + 2) to -3p² -6p

and the second part of the equation has no multiplying to do

so now we add like terms!

-3p² -6p - 2p + 3

-3p² -8p + 3

order from greatest power to least power (first goes the number/variable with the highest power, then the term with a variable, and lastly the number. Right now it is currently in the correct order).

-3p² -8p + 3 is your final answer

Answer:

yes

Step-by-step explanation:

By ASA similarity;

<b=<a

<c=<e

DE=DC

Answer:

x = 70°

Step-by-step explanation:

There are two vertical and parallel lines h and i. Also, a transversal line g cuts across these parallel lines. The intersection of the transversal line and line h produces an upper right angle of 70° and bottom left angle of x°.

These angles x and 70 are vertically opposite angles, hence:

x = 70° (vertically opposite angles are equal to each other)

Answer:

70

Step-by-step explanation:

just did it on edge

Answer:

12

Step-by-step explanation:

4u - 8u = -63 + 15 ( collecting like terms)

-4u = -48

u = 12

Answer:

u = 12

Step-by-step explanation:

4u - 8u - 15 = -63

Step 1: Combine 4u and -8u

-4u - 15 = -63

Step 2: Add 15 to both -15 and -63

-4u = -48

Step 3: Divide both -4u and -48 by -4

u = 12

I hope this helps! c:

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:

perimeter = 20.9 units

Step-by-step explanation:

perimeter

perimeter = distance around two dimensional shape

= addition of all sides lengths

distance formula:

[tex]d = \sqrt{( x_{2} - x_{1}) {}^{2} + ( y_{2} - y_{1}) {}^{2} } [/tex]

A(-3,0) B(2,4)

x1 = -3 x2 = 2

y1 = 0 y2 = 4

(substitute the values into the distance formula)

[tex]ab = \sqrt{(2 - ( - 3)) {}^{2} + (4 - 0) {}^{2} } [/tex]

[tex]ab = \sqrt{5 {}^{2} + 4 {}^{2} } [/tex]

[tex]ab = \sqrt{41} [/tex]AB = 6.4 units

B(2,4) C(3,1)

x1 = 2 x2 = 3

y1 = 4 y2 = 1

[tex]bc = \sqrt{(3 - 2) {}^{2} + (1 - 4) {}^{2} } [/tex]

[tex]bc = \sqrt{1 {}^{2} + ( - 3) {}^{2} } [/tex]

[tex]bc = \sqrt{10} [/tex]

BC = 3.2 units

C(3,1) D(-4,-3)

x1 = 3 x2 = -4

y1 = 1 y2 = -3

[tex]cd = \sqrt{( - 4 - 3) {}^{2} + ( - 3 - 1)) {}^{2} } [/tex]

[tex]cd = \sqrt{( - 7) {}^{2} + ( - 4 ){}^{2} }[/tex]

[tex]cd = \sqrt{65} [/tex]

CD = 8.1 units

A(-3,0) D(-4,-3)

x1 = -3 x2 = -4

y1 = 0 y2 = -3

[tex]ad = \sqrt{( - 4 - ( - 3)) {}^{2} + ( - 3 - 0) {}^{2} }[/tex]

[tex]ad = \sqrt{( - 1) {}^{2} + ( - 3) {}^{2} } [/tex]

[tex]ad = \sqrt{10} [/tex]

AD = 3.2 units

= AB+BC+CD+AD

= 6.4 + 3.2 + 8.1 + 3.2

= 20.9 units

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.

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:

-(135/31), 60/31

Step-by-step explanation:

y=60/31

x=-(135/31)

Answer:

Step-by-step explanation:

according to the question

the equation is

130+2x=180

2x=180-130

2x=50

x=25

Answer:

radio relationships?what do u mean?

Answer:

$60/t

Step-by-step explanation:

t tickets--> $60

1 ticket---> $60/t

Answer:

57.09

Step-by-step explanation:

856.35/15. total amount divided by number of payments

Answer:

6)b

7)a

8)a

9)a

1)c

2)a

3)c

4)b

5)b

Answer:

D

Step-by-step explanation:

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:

7

Step-by-step explanation:

Let number of nights spent in both the locations be [tex]x[/tex]

Airfare for Arizona for 2 persons for two way journey = [tex]95\times 4=\$380[/tex]

Airfare for New York for 2 persons for two way journey = [tex]150\times 4=\$600[/tex]

Cost of night spent in Arizona = [tex]150x[/tex]

Cost of night spent in New York = [tex]120x[/tex]

Cost of going and coming back from Arizona = [tex]380+150x[/tex]

Cost of going and coming back from New York = [tex]600+120x[/tex]

Now the costs should be equal so

[tex]380+150x=600+120x\\\Rightarrow 150x-120x=600-380\\\Rightarrow x=\dfrac{220}{30}\\\Rightarrow x=7.33\ \text{nights}[/tex]

The number of nights is approximately 7 at which the cost of the trip becomes equal.

Answer:

y = 3/8 x - 2

Step-by-step explanation:

Put 8y on the other side to get

8y + 16 = 3x

8y = 3x - 16 and thus

y = 3/8 x - 2

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!

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:

0.25 laps per minute

Step-by-step explanation:

Laps per minute is synonymous for laps/minutes. Thus, 2 laps in 8 minutes is 0.25 laps per minute. Hope this helps!!

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:

70 square feet

Step-by-step explanation:

This is because the correct formula for this problem is: base x height

Using this formula, you first have to find the base of the trapezoid. Since the square's  base is 7 ft, and the triangle's base is 3 ft, you add these together and get 10 ft as a base. For the height, you need the square's height which is 7 ft. Then you multiply and get 70 ft.

hope this helps <3!

Answer:

116

Step-by-step explanation:

x = 180 - 64 = 116

5 star, thank, and brainliest if helpful

Step-by-step explanation:

Given A(1 , -3)

Reflection across the x -axis

= A'( 1 , 3)

Reflection across the y-axis

= A'( -1 , - 3)

Reflection across the y = x

= A' ( -3 , 1)

Reflection across the y = - x

=A'( 3 , - 1)

Hope it will help ☺

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:

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: