A ___ equation is a second-degree equation of the form ax^2+bx+c=0 where a ≠ 0​

===================================================

Explanation:

Problem 1

If we had the two vectors u = <a,b> and v = <c,d>, then adding them gives us

u+v = <a+c,b+d>

The corresponding coordinates pair up and add together.

In this case we have

u = <-3,4>

v = <6,8>

So,

u+v = <-3+6,4+8>

u+v = <3,12>

---------------------

Problem 2

We follow the same idea as the previous problem.

w = <8,-1>

g = <-1,1>

w+g = <8+(-1),-1+1>

w+g = <7,0>

---------------------

Problem 3

Similar to addition, subtracting vectors has us subtract the corresponding coordinates.

The general template is:

u = <a,b>

v = <c,d>

u-v = <a-c,b-d>

With this in mind, we can say the following:

g = <-1,1>

z = <-3,-3>

g-z = <-1-(-3),1-(-3)>

g-z = <-1+3,1+3>

g-z = <2,4>

---------------------

Problem 4

Follow the same idea as problem 3 above.

v = <6,8>

u = <-3,4>

v-u = <6-(-3),8-4>

v-u = <6+3,8-4>

v-u = <9,4>

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Problem 5

Refer to problem 1.

y = <1,1>

v = <6,8>

y+v = <1+6,1+8>

y+v = <7,9>

---------------------

Problem 6

u = <-3,4>

h = v+y = y+v = <7,9>

u+v+y = u + h

u+v+y = <-3,4> + <7,9>

u+v+y = <-3+7,4+9>

u+v+y = <4,13>

Notice how I built off the result of problem 5 when I used h = v+y. The vector v+y is the same as y+v because the order of addition doesn't matter. Also, the idea mentioned in problem 1 can be extended for more than two vectors.

To write this expression as a positive exponent we use this rule of exponents: xa=1x−a. 5−3=15−−3=153. Use this rule for exponents: xa=1x−a. 5−3=15−−3=153=1125.

Step-by-step explanation:

Are you sure that's the complete question? If yes, there's no valid answer to this question as it's not complete. (Please do comment the full question below  if you have it)

But assuming it's 5^-3 , we can apply the reciprocal law of indices which becomes:

[tex]\frac{1}{5^3}[/tex]

This is our final answer.

The reciprocal indices law states that:

[tex]x^{-n} = \frac{1}{x^n}[/tex]

Hope this helps!

Answer:

p(-1)= -5

p(2)= 19

Answer:

-5

Step-by-step explanation:

p(x)=3x+1

p(-2)=3(-2)+1

p(-2)=-6+1

p(-2)=-5

If you're satisfied with the answer, then please mark me as Brainliest. Thank you.

Answer:

Step-by-step explanation:

For example, it is more usual to talk about polynomials of degree 6 than to ... Given the polynomials f (x)=3x3 +7x2−5x + 8, g(x) = −x5 + 6x4−2x3+ x−3 ...

Answer: slope: 3/2

y-intercept: (0,-4)

Step-by-step explanation:

y=3/2x-4 is slope intercept form

Answer:

See attachment

Step-by-step explanation:

Answer:

d 108.5

Step-by-step explanation:

assuming that the two angles with this dot * are equal...we can look for their sizes... by using SOHCAHTOA

SO I use tan

tan∅= opposite/adjacent

tan∅= 30/40 = 0.75.......then find the inverse you get 36.87......angles in a triangle adds up to 180.... * =26.57

use SOHCAHTOA again to get ungiven sides

then add ABC to get 108.54 cm as your answer.

I hope this is helping

Answer:

C. (3, -1) is a solution

Step-by-step explanation:

It is inside in the double shaded area.

x

=

2

and

y

=

−

1

Explanation:

y

=

3

x

−

7

   and    

2

x

−

5

y

=

9

Substitute for

y

2

x

−

5

(

3

x

−

7

)

=

9

Simplify

2

x

−

15

x

+

35

=

9

Keep going and get

−

13

x

=

−

26

So

x

=

2

Now find

y

y

=

3

x

−

7

→

3

(

2

)

−

7

y

=

−

1

Step-by-step explanation:

since f(x) is overall increasing for the interval -3 < x < 0,

A and B both fit in there and are correct answers.

Answer:

C. 3.5 < x < 4.5

Step-by-step explanation:

Anything that is above 1 (4, 9, etc)  is increasing and anything that is below 1 (0.4, -3, etc) is decreasing. A and B are wrong because they are negative or below 1 and it isn't D because C is increasing.

Answer:

C

Step-by-step explanation:

60+80=140 which is definitely higher than 100-120

Answer:

C. 40-52 and 14-26

Step-by-step explanation:

The age groups that can be more than 120 in number as the 27-39 age group can only be 2 groups.

The 40-52 is an age group which has 80 in number and below it the 14-28 age group has 60 in age group.

60+80 is more than the 27-39 ager group by 20 in number. Therefore, the C. 40-52 and 14-26 age groups are the 2 groups that have more than the 27-39 age group.

Answer:

47.43

Step-by-step explanation:

To find 51% of the number 93, multiply the latter by 0.51:

0.51(93) = 47.43

Answer:

47.43

Step-by-step explanation:

51% of 93

[tex]\frac{51}{100}\times \frac{93}{1}[/tex]

[tex]=\frac{4743}{100\times \:1}[/tex]

[tex]=\frac{4743}{100}[/tex]

Answer:

[tex]80. \bar{75}[/tex]

Answer:

the initial height of water.

Step-by-step explanation:

when time equals zero, no water has been drained.

the volume of the tank is unknown however the volume in the tank is 12 at time zero

Answer:

C. The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 5.

Step-by-step explanation:

Answer:

2:3

2 to 3

or a fraction bar

Step-by-step explanation:

Answer:

In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3).

3 different ways you can write that ratio-

1)  4 to 3

2)  4:3

3)  4/3 (fraction)

Step-by-step explanation:

hope this helped:)

Answer:

y=3x-12

Step-by-step explanation:

Assuming that you're asking what's the equation of the line that passes through (3, -3) with the slope of 3.

y-y1=m(x-x1)

y-(-3)=3(x-3)

y+3=3(x-3)

y=3x-9-3

y=3x-12

Answer:

This is my answer, Credit to the person on top

Answer: its a

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

We know two points on the line so we can use the slope formula

(0,6) and (8,8)

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

   = (8-6)/(8-0)

   = 2/8

   = 1/4

Answer:

1/4

Step-by-step explanation:

slope=rise/run=1/4

Answer:

64 i hope im right

Step-by-step explanation:

Answer: 4 in.

Step-by-step explanation:

A square has 4 equal sides for its perimeter.

Perimeter = 4x

16 = 4x

x = 4 in.

Answer: The first option.

Explanation: 376/93 = 4 4/94, while 376/93.01 = 4.04257606709....., which is less than 4 4/94, therefore the first option has the greatest quotient.

To start with, we are told that the two shapes are squares. This means that they have the same length and breadth. From the diagram, we can see that one of the sides  of the squares is 17 cm. This means that the squares are a square of 17cm in length.

If the original length is 17, and the overlapped length of the figure we have is 30 cm. Then we can say that since there exist 2 squares, 30/2 = 15 cm. If the overlapped length is 15 cm, this means that the part that is shaded is 2 cm in length.

Applying area of a rectangle formula

to learn more about area of  shaded regions, see here https://brainly.com/question/10090807

The length of side AB from the given coordinate grid is; √20

The formula for distance between two coordinates is;

d = √((y2 - y1)² + (x2 - x1)²)

From the graph attached in the given brainly link, we have;

A(4, 5) and B(2, 1)

Thus;

AB = √((1 - 5)² + (2 - 4)²)

AB = √(16 + 4)

AB = √20

In conclusion, the length of side AB is √20

Read more about Triangle side length at; https://brainly.com/question/3673178

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Answer:

x= -16/5

Step-by-step explanation:

5x+1=-15

solve

5x+1=-15

          -1

5x=16

      16/5

x= -16/5

Answer:

60/8 = 7.5 mins per mile

Step-by-step explanation:

Answer:

9.87

Step-by-step explanation:

6%= 0.06

0.06 +6.50 = 6.56

16.43 - 6.50 = 9.87

Answer:

2.78

Step-by-step explanation:

you could have used a calculator

Answer:

23.2 times 0.14 is 3.248