Rome had to pay yearly
tribute to Carthage..
Is this true or false

Given:

The expression is

[tex]x^2+bx+6[/tex]

To find:

The values of b so that the given expression can be factored into binomials factors.

Solution:

An expression is [tex]ax^2+bx+c[/tex] factorable if b is the sum of possible factors of ac.

We have,

[tex]x^2+bx+6[/tex]

Here, [tex]a=1,b=b,c=6[/tex].

[tex]ac=(1)(6)[/tex]

[tex]ac=6[/tex]

Some, factor forms of 6 are (1×6) and (2×3).

[tex]1+6=7[/tex]

[tex]2+3=5[/tex]

For b=7,

[tex]x^2+7x+6=x^2+x+6x+6[/tex]

[tex]x^2+7x+6=x(x+1)+6(x+1)[/tex]

[tex]x^2+7x+6=(x+1)(x+6)[/tex]

For b=5,

[tex]x^2+5x+6=x^2+2x+3x+6[/tex]

[tex]x^2+5x+6=x(x+2)+3(x+2)[/tex]

[tex]x^2+5x+6=(x+2)(x+3)[/tex]

Therefore, the two possible values of b are 7 and 5.

Answer:

The top and the bottom

Step-by-step explanation:

Answer:

#3, the one with the straight line --> linear bc its a constant slope

Answer:

12c + 14d - 4

Step-by-step explanation:

16d + 20c + 5d -7 - 8c - 7d + 3

Simplify the expression

__________________________

To solve, we need to first take in mind the fact that there are different like terms within this expression. Like terms are numbers or values that end in different symbols, such as variables or exponents. Since we are filled with variables such as c and d. We can do as followed :

Combine the "d" like terms :

16d + 5d - 7d

21d - 7d

14d

Combine the "c" like terms :

20c - 8c

12c

Combine the constants :

-7 + 3

-4

Now add all of the values together to get the final expression.

12c + 14d - 4

Answer:

14d + 12c + 3

Step-by-step explanation:

1) Add the same variables; if you see d, or c variable add or subtract them like this:

16d + 5d - 7d = 14d

20c - 8c = 12c

3 is left alone b/c there’s no any other number to add/subtract for 3.

also I know whether to add or subtract b/c the addition or subtraction sign would be before the number: ex; - 2, - 3x, + 5d, + 5

2) your equation should look like this....

14d + 12c + 3

Answer:

A. Yes

B. Yes

C. No

Here's what it would look like:

Answer:

Step-by-step explanation:

2x+5y = 13

2(8-3y)+5y =13

16-6y+5y = 13

y=3

x =8-3y = -1

Answer:

Step-by-step explanation:

I believe the correct answer is A, but im not sure. Hope it helps! <3

Answer:

a

Step-by-step explanation:

it takes a long time for a river to carve a path through rock. for example it took the grand canyon 5-6 million years to form by way of river erosion

hope it becomes helpful to you ☺️☺️

good luck

Answer:  Exactly one solution

Step-by-step explanation:

The reason for is because if we were to graph these two lines, we discover that they only intersect at one point, at (6,7). Therefore, if we were to plug those points in respectively, we see that it is true.

Answer:

Option D my dude

Step-by-step explanation:

it make sense

Answer: M= -2

Step-by-step explanation: Have a brilliant day mate- Lily ^-^

Answer:

-4 or 5

Step-by-step explanation:

let number be x

x²-x=20

Rearrange

x²-x-20=0

(x+4)(x-5)=0

Separate

x+4=0, x-5=0

x=-4 or 5

Answer:7.5 in2

Step-by-step explanation:A=6a2=6·2.52=37.5in²

Answer:

x = -35

Step-by-step explanation:

-8/5x = 56

Start by multiplying both sides by 5 to get rid of the fraction. That will leave you with:

-8x = 280

You can then divide both sides by -8 and then you'll get x = -35

Answer:

x=-35

Step-by-step explanation:

-8/5x is gonna be -1.6x and you divide 56 by -1.6x and get x=-35

Answer:

its 2 and 12

just basic math lol

Answer:

2 and 12

Step-by-step explanation:

2x12=24

2+12=14

Answer: 96.20 should be the answer

Step-by-step explanation:

Answer: $9(.2/$96.20

Step-by-step explanation:

If natalie and her nine friends go to a restaurant that equals 10 people total. To find out how much the bill cost entirely, all you have to do is multiply the number of people (10) by the amount each person paid ($9.62).

10 x 9.62 = 96.2 or 96.20

Answer:

you get X= 1.25!!!!! :) have a great day

Step-by-step explanation:

Answer:

Yanga ka jhcgjvvhjjio ddd....

Answer:

y=-2/5x +8

Step-by-step explanation:

use y=mx+b      look at where the line intercepts with the y-axis and that is at 8 so that is your b. Then find two points and count how many down or up it is to get from the higher up point (i usually use the one that intercepts at the y-axis) to same line as the other point, in this case thats down two. Then count how many to the right it is and in this case it is 5. so since it went down thats -2 over 5 so then you just fill that into the y=mx+b   and you should get   y=-2/5x+8

Hope this helped!

ps. if this was right can you make it brainliest? thanks!

Answer:

The answer is the 2nd one.

Answer:

x = 7

y = 4

Arc JKL = 262°

Step-by-step explanation:

Find the diagram attached

Using the theorem;

Sum of opposite angle of the quadrilateral is 180°

7x+131 = 180

7x = 180-131

7x = 49°

x = 49/7

x = 7

Similarly;

11x+y+99 = 180°

11(7)+y+99 = 180°

77+99+y = 180

176+y = 180

y = 180-176

y = 4

arc JKL is the obtuse angle at the centre

Arc JKL = 360-(angle at the centre)

Angle at the centre is twice angle at the circumference.

Angle at the centre = 2(7x)

Angle at the centre = 2(49)

Angle at the centre = 98°

Arc JKL = 360-98

Arc JKL = 262°

Answer:14/15 pounds of meat

Step-by-step explanation:

Answer:

All you have to do is add 2/4 7 times. So 1/4 times 7 which would equal 7/4=1 3/4

Step-by-step explanation:

Division is one of the four fundamental arithmetic operations. The groups of 1/4 in 7 are 28.

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

The number of one-fourths in 7, can be found by dividing 7 by 1/4. Therefore, the groups of 1/4 in 7 are,

Number of one-fourth = 7/(1/4)

                                     = (7×4)/1

                                     = 28

Hence, the groups of 1/4 in 7 are 28.

Learn more about Division here:

https://brainly.com/question/369266

#SPJ2

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Explanation:

Since ABDE is a rectangle, the opposite sides AE and BD are the same length. This makes BD = 24. Similarly, ED = 20 since AB = 20.

Focus on triangle BCD. Let x be the length of segment CD. We can use the pythagorean theorem to find x

a^2 + b^2 = c^2

(BD)^2 + (CD)^2 = (BC)^2

24^2 + x^2 = 25^2

576 + x^2 = 625

x^2 = 625 - 576

x^2 = 49

x = sqrt(49)

x = 7

Segment CD is 7 units long.

Since ED = 20, this means,

EC = ED + DC

EC = 20 + 7

EC = 27

The perimeter of this trapezoid is

P = sum of all exterior sides

P = AB+BC+CE+EA

P = 20+25+27+24

P = 96 units

Note that we didn't add in side BD as part of the perimeter because it is not an exterior side. Think of sides AB, BC, CE, and AE as outer walls of the house while BD is an interior wall. The perimeter is only worried about the outer walls.

96

Explanation:

Since ABDE is a rectangle, the opposite sides AE and BD are the same length. This makes BD = 24. Similarly, ED = 20 since AB = 20.

Focus on triangle BCD. Let x be the length of segment CD. We can use the pythagorean theorem to find x

576 + x^2 = 625

x^2 = 625 - 576

x^2 = 49

x = sqrt(49)

x = 7

Segment CD is 7 units long.

Since ED = 20, this means,

EC = ED + DC

EC = 20 + 7

EC = 27

The perimeter of this trapezoid is

P = sum of all exterior sides

P = AB+BC+CE+EA

P = 20+25+27+24

P = 96 units

Answer:

20% = 20/100 or 2/10 or 1/5

Step-by-step explanation:

Answer:

20% as a fraction can be 20/100 1/5 2/10

Step-by-step explanation:

Answer:

Step-by-step explanation:

f/2 + 6

Answer:

2/3

Step-by-step explanation:

2/3

Step-by-step explanation:

Very Simple

Take 2 points

x,y

x1,y1= 3,2

x2,y2=6,4

Find the slope

Y2-Y1/X2-X1

4-2/6-3

2/3

Answer:

x= {-29}

Step-by-step explanation:

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