One side of a rectangle has the length 5. Another side has length 2+9. What expression represents the area of the rectangle?

Answer:

-(-4P-3) =

4P + 3

Step-by-step explanation:

Answer:

5p - r +3

Step-by-step explanation:

Question shows - (r-3-5p)

- r - - 3 - - 5 p   we can simplify and separate and instruct each value then add your brackets.

- r - ( -  3) - (- 5)

- r + 3 - ( - 5p) and see that the - - 5p  =  + 5p

-r + 3 + 5p  then rearrange and keep format.

5p -r + 3

Answer:

Step-by-step explanation:

(1,8) (-1,-2)

Slope: (-2-8)/(-1-1) = -10/-2 = 5

y -8 = 5 (x - 1)

y - 8 = 5x - 5

y = 5x +3

Answer:

x=0 , x = 1/2

Step-by-step explanation:

(4x-1)=1 —> 4x-1=1—> 4x=1+1—> 4x=2 —> x=2/4 —> x= 1/2

-(4x-1)=1—>-4x+1=1—> 4x= 1-1 —> x=0

Hello there!

We are given the equation:

[tex] \displaystyle \large{ |4x - 1| = 1}[/tex]

Definition/Property

[tex] \displaystyle \large{ |a| = \sqrt{ {a}^{2} } } \\ \displaystyle \large{ |a| = b \longrightarrow a = \pm b} \\ \displaystyle \large{ |a| = \begin{cases} a \: \: (x \geqslant 0) \\ - a \: \: (a < 0) \end{cases}}[/tex]

First, cancel the absolute value sign and write plus-minus beside 1.

[tex] \displaystyle \large{ |4x - 1| = 1} \\ \displaystyle \large{ 4x - 1 = \pm 1} \\ [/tex]

Break in two cases.

[tex] \displaystyle \large{ 4x - 1 = \begin{cases} 1 \\ - 1 \end{cases}} \\ \displaystyle \large{ 4x = \begin{cases} 1 + 1 \\ - 1 + 1 \end{cases}} \\ \displaystyle \large{ 4x = \begin{cases} 2 \\ 0 \end{cases}} \\ \displaystyle \large{ x = \begin{cases} \frac{2}{4} \\ \frac{0}{4} \end{cases}}[/tex]

Therefore, x = 0 or 1/2

Let me know if you have any questions!

Topic: Absolute Value Function - Equations

[tex]\small\tt\red{Question : 2x + 3(5x - 7) = 47 } \\ \\ \small\tt\orange{solution : - } \\ \\ \small\tt\blue{2x + 3(15x - 7) = 47} \\ \\ \small\tt\blue{2x + 15 - 21 = 47} \\ \\ \small\tt\blue{17 = 47 + 21} \\ \\ \small\tt\blue{17x = 68} \\ \\\small\tt\blue{x = \cancel \frac{68}{17} } \\ \\\\\small\tt\green{\boxed{x = 4 \: \: is \: your \: answer}} \\ \\ \\\small\tt\pink{\boxed{\boxed{hope \: it \: help \: you \: dear}}}[/tex]

Answer:

32.5cm

Step-by-step explanation:

Using the formula A=h_b*b/2

We get 5*13/2=32.5

Step-by-step explanation:

The area of any 2-d quadrilateral is equal to the base of the shape times the height, though we can just sub in length and width here. The key bits of information here is the aspect ratio (4:3) and the given area (300 in^2).

So far this gives us L∗W=300in2

Now, the aspect ratio given implies for every 4 inches in length, there will be 3 inches in width. This allows us to factor out a 4 and a 3 from the Length and Width respectively and give them the same constant variable, like so:

4x∗3x=300in2

Now, some might be tempted to go ahead with 12x here, but let’s expand the left side out to see what’s really going on:

4∗x∗3∗x=300in2

From here, let’s resolve like terms Our constants will multiply together and give us 12, and x * x of course gives us x^2 to give us the following:

12x2=300in2

From here, simply divide through by 12 to isolate x on one side,x2=25

And finally take the square root of both sides to work out what your common factor is,

x=5

Now that we have out common factor, let’s plug it back into our original formula to find our Length and Width, like so.

(4∗5)in∗(3∗5)in=300in2

20in∗15in=300in2

Therefore, the Length of our rectangle is 20in, and the Width of our rectangle is 15in

Answer:

-7 × (-6)

Step-by-step explanation:

7 × (-6) = -42

-6 × 7 = -42

-7 × (-6) = 42

-7 × 6 = -42

Answer:

[tex] - 7 + ( - 6) = 42[/tex]

I hope I helped you^_^

Answer:

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer: yes

Step-by-step explanation: just tryna get points

Answer:

-4.75

Step-by-step explanation:

Slope = (y2-y1) / (x2-x1)

So applying the formula

(-29-9)/(15-7)

= -38/8 = -4.75

9514 1404 393

Answer:

  x -y = -2

Step-by-step explanation:

The coefficients of x and y in the equation of the perpendicular line will be swapped, with one of them negated. That is, the perpendicular line will have the equation ...

  x -y = constant

The value of the constant can be found using the x and y of the given point.

  x -y = 2 -4 = -2

The perpendicular line is ...

  x -y = -2

Answer:

4

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

LMN is one big line

LM=22

LM=15

LN=22+15=37

Answer:

LN = LM + MN = 37

Step-by-step explanation:

L————————-M———————-N

22. 15

L————————-37———————-N

Answer:

what is the depth

Step-by-step explanation:

#33

[tex]\\ \sf\longmapsto \dfrac{300(300+1)}{2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{300(301)}{2}[/tex]

[tex]\\ \sf\longmapsto 150(301)=45150[/tex]

#34

[tex]\\ \sf\longmapsto \dfrac{500(500+1)}{2}[/tex]

[tex]\\ \sf\longmapsto 250(501)[/tex]

[tex]\\ \sf\longmapsto 125250[/tex]

#35

[tex]\\ \sf\longmapsto \dfrac{675(675+1)}{2}[/tex]

[tex]\\ \sf\longmapsto dfrac{675(676)}{2}[/tex]

[tex]\\ \sf\longmapsto 675(338)[/tex]

[tex]\\ \sf\longmapsto 228150[/tex]

#36

[tex]\\ \sf\longmapsto \dfrac{825(825+1)}{2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{825(826)}{2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{825(413)}{1}[/tex]

[tex]\\ \sf\longmapsto 340725[/tex]

#37

n=102/2=51

[tex]\\ \sf\longmapsto n^2[/tex]

[tex]\\ \sf\longmapsto 51^2[/tex]

[tex]\\ \sf\longmapsto 2621[/tex]

#38

n=49+1/2=50/2=25

[tex]\\ \sf\longmapsto n^2[/tex]

[tex]\\ \sf\longmapsto 25^2[/tex]

[tex]\\ \sf\longmapsto 625[/tex]

#39

n=999+1/2=1000/2=500

[tex]\\ \sf\longmapsto n^2[/tex]

[tex]\\ \sf\longmapsto 500^2[/tex]

[tex]\\ \sf\longmapsto 250000[/tex]

Answer:

U are doing right but don't move ur compass when u are doing the line (i mean opposite line)otherwise ur line at not bisect

Answer:

first eat this momo you will got answer yourself

Answer:

locks that raise or lower the boat. Traveling East a boat would have to be lowered 12' at Amsterdam, 11' at Trives Hill, and 8' at Randall. By how much does the elevation of the boat change between Amsterdam and Randall

Answer:

Each bag costs 0.35 cents

Step-by-step explanation:

divide 9.88 by 28 and that gives you the total for each bag of chips

Answer:

true

Step-by-step explanation:

5(1+2x)= 5 +10x =10x + 5

Answer:

Yes, they are eqivelant.

Step-by-step explanation:

5(1+2x) and 10x+5

The first step is to set them equal to each other, to see if they are equivelent.

5(1+2x) = 10x+5

Distribute the 5 to both terms in the parentheses by multiplying.

5(1) + 5(2x) = 10x +5

5 + 10x = 10x +5

The communative property of addition proves that these are equal.

Answer:

m<DBC = 109

Step-by-step explanation:

8x-27=6x+7

8x=6x+34

2x=34

x=17

8(17)-27= 109

Answer: 109

Step-by-step explanation:

i'm not entirely sure of this answer as its been a while since ive done problems like this, however, i think the steps to solve are setting (8x-27) equal to (6x+7). Once you do that, you can solve for x. Substitute x into angle DBC to find the answer.

(g + 4) - 3g = 1 + g

or, g + 4 - 3g = 1 + g

or, -2g + 4 = 1 + g

or, -2g - g = 1 - 4

or, -3g = -3

or, g = -3/-3

or, g = 1

The value of g is 1.

Answer: -4

Step-by-step explanation:

Start with -6, since there is nothing to solve in the parenthesis.

Subtract -2 from -6, which will get you -4.