A rectangular patio has an area of 2x² + 13x — 24 ft2. Use factoring to find possible dimensions of the patio. The patio is to be enlarged so that each dimension is 2 ft greater than it was originally. What are the new dimensions of the patio? What is the new area of the patio?

Answer: The correct answer is 34.5

Step-by-step explanation:

1. She did not need to multiply both sides by -7.5

2.  A negative * a negative will make a positive number

Hope this helps!

Answer:

Step-by-step explanation:

(27) [tex]7x^2[/tex] + 9x + 2

= [tex]7x^2[/tex] + 7x + 2x + 2

= 7x(x+1) + 2(x+1)

= (7x+2)(x+1)

(29) [tex]8x^2[/tex] - 2x - 1

= [tex]8x^2[/tex] - 4x +2x - 1

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

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

(31) [tex]15x^2[/tex] - 16x - 7

= [tex]15x^2[/tex] + 5x - 21x - 7

= 5x(3x + 1) - 7(3x+1)

= (5x-7)(3x+1)

Answer: 3 mph( i don't know if u need mph tho)

Step-by-step explanation:

3/4 x 4=4

if this doesn't help i will try to find another answer!!

Answer:

120

Step-by-step explanation:

Assuming its an isosceles triangle (2 angles adj the same), its just 180-30-30 = 120

Answer:

My estimation 60 degrees

Step-by-step explanation:

since both of the two angles are 30 degrees i added the two to get 60 degrees am sorry if its wrong

Answer:

x = 275/9

Step-by-step explanation:

1=3392.92

2= 4071.50

3 = 5387.83

4 = 785.40

Steps on how I did it on the picture below, If you have any other questions contact me through discord Acathia#0103

Step-by-step explanation:

Answer: 27.62

Step-by-step explanation:

plug in 2.3 wherever 'n' is

I'm assuming that the '2' in 8n2 is an exponent

2.3 + 8(2.3)² - 17 =

Using PEMDAS

start out with exponent since there isn't any parenthesis  

(2.3)² = 5.29

2.3 + 8(5.29) - 17

move on to multiplication

8(5.29) = 42.32

2.3 + 42.32 - 17

with addition and subtraction, you do whichever comes first and since this equation starts with addition we'll start there

2.3 + 42.32 = 44.62

then the subtraction

44.62 - 17 = 27.62

Answer:

Step-by-step explanation:

The answer is 27.62

Answer:

4 units

Step-by-step explanation:

The length between point P and Q is from -3 to 1, If you start at -3 and count over the graph to 1 you will get 4 units

Answer:

hmm

Step-by-step explanation:

Answer:

[tex]\mbox{\large \; 4\left(3x+5\right)\left(3x+5\right)} = 4(3x + 5)^2}[/tex]

Step-by-step explanation:

We are given the quadratic equation [tex]36x^2+120x\:+\:100[/tex] and asked to factor

Here are the steps

Answer
[tex]\mbox{\large \; 4\left(3x+5\right)\left(3x+5\right)} = 4(3x + 5)^2}[/tex]

Answer: (6x+10)

Step-by-step explanation:

To find the side of the square, we have to first factorise it:

[tex]36x^2[/tex] + 120x + 100

= 36[tex]x^2[/tex] + 60x + 60x + 100

= 12x(3x + 5) + 20(3x + 5)

= (12x+20)(3x+5)

= 4(3x+5)(3x+5)

= 2(3x+5)2(3x+5)

= (6x+10)(6x+10)

∴ Hence, side = (6x+10) units

Please mark my answer the BRAINLIEST!

Answer:

A. Slope= -3

B. Slope= -4/3

C. Slope= 11/2

D. Slope= undefined

Step-by-step explanation:

The way I solved it was by graphing the points and then counting the rise/run.

Answer:

1. 16 inches

2. 1256 square feet

Answer: The first one

Step-by-step explanation: if it's a negative number it means that the lower the number is the higher.

Answer:

17

Step-by-step explanation:

Answer:

5.047,  5.105, 5.12, 5.132, 5.406

Step-by-step explanation:

enter Durham right after Raleigh

Answer: 10

Step-by-step explanation:

b can be 10 as,

7*3 = 21

7+3 = 10

∵ [tex]7x^2[/tex] + 10x + 3

Using the cosine half angle formula,

[tex]\cos \frac{\theta}{2}=-\sqrt{\frac{1-\frac{1}{9}}{2}}=-\frac{2}{3}[/tex]

Using the sine half angle formula,

[tex]\sin \frac{\theta}{2}=\sqrt{\frac{1+\frac{1}{9}}{2}}=\frac{\sqrt{5}}{3}[/tex]

So, [tex]a_1=-\frac{2}{3}[/tex] and [tex]a_2=\frac{\sqrt{5}}{3}[/tex].

Answer:

42% (Sorry if I'm wrong!)

Answer:

40.7%

Step-by-step explanation:

the question was tricky but I am glad I was able to help

Answer:

Fish A travels faster and by 0.1 meters per second.

Step-by-step explanation:

According to the table, you can see that the seconds are not being measured constantly. To determine the rate of change of meters per second, we can use subtraction on both the numerator and denominator of the expression. Where we divide it into 1 second.

meters/second → 4.8 – 1.6 / 3 – 1 = 3.2 / 2 =

1.6 meters/second.

Now we can compare the rate from fish B by also diving it into 1 second.

3 meters every 2 seconds → 3/2 =

1.5 meters/second.

Since 1.6 > 1.5, Fish A is faster!

And to compare the simplified rates

1.6 – 1.5 = 0.1 meters.

So Fish A is 0.1 meters faster!

Answer:

15x + 12

Step-by-step explanation:

Answer: hope this helps ♡

15x+12

Answer:

240

Step-by-step explanation:

I think you just add them all together

Answer: A C and D

Step-by-step explanation:

What I did was look at point A, we see it starts at (-8, 6) this means that if it were to be shifted right 9 and down 4 we would get (1, 2). so, all the answers claiming that the points were shifted right 9 and down 4, or x+9 y-4 are correct.

your answer would be the first option the 3rd and the last option

Answer:

12 and 78 are complementary.

80 and 100 are supplementary.

50 and 50 are neither.

Step-by-step explanation:

Hope it helps! =D

Answer:

x=5/2

y=13/2

(x,y) = (5/2 , 13/2)

Answer: (x,y) = (5/2 , 13/2)

Step-by-step explanation:

Answer:

hi so here is the answer: 1=2

1=2

2=3

3=42

4=15

Step-by-step explanation:

Answer:

(-2, -6)

Step-by-step explanation:

Answer:

A numerical expression contains numbers and operations. An algebraic expression is almost exactly the same except it also contains variables

Answer:

Step-by-step explanation:

Both are similar as they result of both is same. The only difference is their methods of solving them. In numeric expressions, it takes long calculation while in algebraic expressions, we break the expression and then solve it to obtain the result in simpler form.

Hope it helps. Mark my answer the BRAINLIEST!