Question 25 of 25
Use the table to identify values of p and g that can be used to factor
x2 - - 4x - 12 as (x + p)(x + 9).
g
-6
р
2.
-2.
3
-3
6
p+q.
-4
4.
-1
1
-4
4
O
A. -2 and 6
B. -3 and 4
C. 2 and -6
D. 3 and -4

Given:

The graph of a line.

To find:

The slope of the graphed line.

Solution:

From the given graph it is clear that the line passes through the points (-2,2) and (2,5). So, the slope of the line is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{5-2}{2-(-2)}[/tex]

[tex]m=\dfrac{3}{2+2}[/tex]

[tex]m=\dfrac{3}{4}[/tex]

Therefore, the slope of the given graphed line is [tex]m=\dfrac{3}{4}[/tex].

Answer:

Non-Linear

Step-by-step explanation:

Answer:linear

Step-by-step explanation:

Answer:

$850.50

Step-by-step explanation:

Once you find the square footage of the triangle, that being 486 sq ft, you multiply by 1.75, the cost of the deck per sq ft, you get $850.50

Answer:

D

Step-by-step explanation:

A translation 4 units to the right and 6 units down means that all of the x values increase by 4 and all of the y values decrease by 6.

Adding 4 to all of the x values and subtracting 6 from all of the y values gives us the coordinates:

A' (-3, 0), B' (8, 3), C' (2, -9)

Answer:

-2x

Step-by-step explanation:

Rise over run,

This line goes up 4 (It goes up so it's positive).

and it goes to the left -2 times (Since it's left it's negative).

Slope: 4/-2 or -2/1 which is -2x

Answer:

6 1/4

Step-by-step explanation:

Add up the fabric that she has

3 1/2 + 6 3/4

Get a common denominator

3 2/4 + 6 3/4

9 5/4

9 4/4 + 1/4

10 1/4

Subtract this from the fabric that she needs

16 1/2 - 10 1/4

Get a common denominator

16 2/4 - 10 1/4

6 1/4

Answer:

There's supposed to be nothing in the 7 and 8 columns

Step-by-step explanation:

You were good, but there aren't any in the 7 or 8 columns, making 9 an outlier.

hope this helps:)

Answer:

if this is factoring i wanna say

x= -7

x= 8

but i could be wrong this is a trick 1

Step-by-step explanation:

Answer:

Infinitely Many Solutions.

Step-by-step explanation:

x+2y=0

6y=-3x

y=-3/6x

y=-1/2x

x+2(-1/2x)=0

x-2/2x=0

x-x=0

0=0

infinitely many solutions

Answer:

40

Step-by-step explanation:

Substitute 25 for x

[tex] {25}^{2} - 30(25) + 225 = 100[/tex]

100 is the area of the square so that means

10 is the side length of each side of the square.

Multiply 4 by 10 to get the perimeter.

[tex]4 \times 10 = 40[/tex]

Speed = Distance/Time

So, speed

= 300 km/2h

= 150km/h

= (150 × 1000m) / 3600s

= 150000m/3600s

= 41.66m/s [approximately]

Answer:

A (25)

Step-by-step explanation:

Pythagorean Theorm

[tex]7^{2} +24^{2} =x^{2}[/tex]

Please vote brainliest!!!

Answer:

2

Step-by-step explanation:

3/4+5/4=8/4=2

Answer:

Where are the numbers?

Step-by-step explanation:

????????????????????????????

Answer:

there are no numbers

Step-by-step

!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

DA MIDDLE LINE. 6

Answer:

3^2 + 11^2 = 130

7^2 + 9^2 = 130

---

1^2 + 18^2 = 325

6^2 + 17^2 = 325

Step-by-step explanation:

We want to express 130 and 325 as the sum of two squares in two different ways.

Then, we want to find two integers a and b such that:

a^2 + b^2 = 130

There is not an analytical way to do this, we just need to try with different integers.

Let's start with 130.

So we start by defining a as a really small integer, for example 1, and try to find b.

1^2 + b^2 = 130

b^2 = 130 - 1

b^2 = √129 = 11.3

This is not an integer, so let's try with another value of a.

a = 2

2^2 + b^2 = 130

4 + b^2 = 130

b^2 = 130 - 4

b = √126 = 11.2

This can be discarded again.

Now let's try with a = 3

3^2 + b^2 = 130

9 + b^2 = 130

b^2 = 130 - 9

b = √121 = 11

Nice.

So we can express 130 as:

3^2 + 11^2 = 130

Now let's find another pair.

In the same way, we can see that for a = 7 we get:

7^2 + b^2 = 130

42 + b^2 = 130

b^2 = 130 - 49

b = √81 = 9

Then we can write:

7^2 + 9^2 = 130

Now for 325:

With the same reasoning than before, we want to find two integers such that:

a^2 + b^2 = 325

Then we start evaluating a by the smallest values:

a = 1

1^2 + b^2 = 325

b^2 = 325 - 1 = 324

b = √324 = 18

Then we can write 325 as:

1^2 + 18^2 = 325

Now to find the next pair we need to keep testing values for a, we will get for a = 6:

6^2 + b^2 = 325

36 + b^2 = 325

b^2 = 325 - 36 = 289

b = √289 = 17

Then we can write:

6^2 + 17^2 = 325.

Answer:

https://www.symbolab.com/solver/step-by-step/x%5E%7B2%7D%20%2B5x%2B3%3D0

Step-by-step explanation:

Answer:

[tex]x = \frac{-5\pm\sqrt{13}}{2}[/tex]

Step-by-step explanation:

Hello!

We can solve the quadratic by using the Quadratic Formula.

Standard form of a Quadratic: [tex]ax^2 + bx +c= 0[/tex]

Quadratic Formula: [tex]x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}[/tex]

Given our equation: [tex]x^2+5x+3 = 0[/tex]

Plug it into the formula and solve:

This cannot be simplified further. The answer is [tex]x = \frac{-5\pm\sqrt{13}}{2}[/tex].

Answer: Each Swiss Guard will spend 1 hour 36 minutes on guard duty in one day.

Step-by-step explanation:

Given: The Vatican has to be guarded 24 hours a day.

Total Swiss Guards  = 15

If they split each day's guard duty equally, the time they will spend on guard duty in one day = (24)÷ 15

= [tex]\dfrac{24}{15}[/tex] hours

[tex]=\dfrac85[/tex] hours

[tex]=1\dfrac35[/tex] hours

= [tex]\text{1 hour }\dfrac35\times60\text{ minutes}[/tex]

= [tex]\text{ 1 hour }36\text{ minutes}[/tex]

Hence, each Swiss Guard will spend 1 hour 36 minutes on guard duty in one day.

Answer:

264

Step-by-step explanation:

Area= 1/2•b•h

=2(1/2)(b)(h)+3(b)(h)

=2(1/2)(6)(4)+3(16)(5)

=264

Answer:

1 haircut = 47 dollars

1 colouring = 98 dollars

Step-by-step explanation:

Let [tex]x[/tex] be equal to the cost of 1 haircut.

Let [tex]y[/tex] be equal to the cost of 1 colouring treatment.

1) Form equations

Equation 1: 3 haircuts + 1 colour = 239 dollars

⇒ [tex]3x+y=239[/tex]

Equation 2: 2 haircuts + 1 colour = 192 dollars

⇒ [tex]2x+y=192[/tex]

2) Solve the system of equations

Subtract equation 2 from equation 1 to cancel out y (elimination)

- [tex]3x+y=239\\2x+y=192[/tex]

⇒ [tex]3x-2x+y-y=239-192\\x=47[/tex]

Therefore, Natalie charges 47 dollars for 1 haircut.

Plug x back into one of the equations to solve for y

[tex]2(47)+y=192\\94+y=192[/tex]

Subtract both sides by 94

[tex]94+y-94=192-94\\y=98[/tex]

Therefore, Natalie charges 98 dollars for 1 colouring treatment.

I hope this helps!

Answer:

surface area= 301.6

volume=301.6 again Imao I'm not sure how right that is

Answer:

The percentage represented is 37.5%

Answer:

3^5/3

log(1/2)

log2(16)

Step-by-step explanation:

u.

Answer:

27

Step-by-step explanation:

The answer is 27, since the mean of 20, 26, 27, 27 is 27. I hope you enjoy. Take care

Answer:

the length of the third side (the hypotenuse) is 7

Step-by-step explanation:

Solve this by using the Pythagorean Theorem:

(2√10)² + 3² = (hypotenuse)²

Then (hypotenuse) = √(40 + 9) = √49 = 7

Answer:

7

Step-by-step explanation:

2 root 10 ^2 is 40

3 squared is 9

root of 49

Answer:

wonderful

Step-by-step explanation:

a5= A1=7 an=2an1

an16

The inequality that can be used to determine the maximum budget that can be spent on outfits is 72.82x + 494.69 < 540.

The first step is to determine the total cost of the items bought.

Cost of the bicycle = $446.60.

Cost of the 3 bicycle reflectors = $4.09 x 3 = $12.27

Cost of the bike gloves = $35.82

Total cost = $494.69

The amount left that can be spent on the new biking outfits = $540 - $494.69 = $45.31

The amount of money left is not sufficient to buy the new biking outfits.

To learn more about inequality, please check: https://brainly.com/question/5031619

Answer:

$2250

Step-by-step explanation:

30 x 25 = 750 -> area

750 x 3= 2250