please help its easy but i dont remember the steps to do it

Answer:

alfa = 2

beeta = -3

product of zeros = 2x-3= -6

sum of zeros = 2+[-3] = -1

POLYNIMIAL = k[x²-[sum]+product]

                       =k[ x²-[-1] +[-6]]

                        = k[ x²+1 -6]

                        = x²-5

hence , the quadratic equation is x²-5

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Answer:

[tex]slope = \frac{y_2 - y_1}{x_2-x_1}\\\\4 = \frac{p-2}{1-4} \\\\4 \times -3 = p -2\\\\-12 + 2 = p \\\\p = -10 \\\\Equation \ of \ line : \\\\(y -y_1) = m(x - x_1)\\\\y - 2= 4(x-4)\\\\y - 2 = 4x -16\\\\y = 4x -14[/tex]

Hi there! The slope formula is:

[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

We know that the slope is 4 but we are missing the value of p. (Define m = slope)

What we have now are:

We are going to substitute these values and solve the equation for p-term.

[tex] \large{4 = \frac{2 - p}{4 - 1} } \\ \large{4 = \frac{2 - p}{3} } \\ \large{4(3) = \frac{2 - p}{3} (3)} \\ \large{12 = 2 - p} \\ \large{p = 2 - 12 \longrightarrow \boxed{p = - 10}}[/tex]

Hence, the value of p is -10.

Next, we have to write the equation of a line in point-slope form. The point-slope form is:

[tex] \large \boxed{y - y_1 = m(x - x_1)}[/tex]

Define that (x1, y1) = ordered pairs

Since we have two given points, we can either use the first point or second point. Both work.

First Point

For our first ordered pairs (4,2), substitute x1 = 4 and y1 = 2 in the equation.

[tex] \large{y - 2 = 4(x - 4)}[/tex]

Hence, the equation of a line in point-slope form as in (4,2) is y-2=4(x-4)

Second Point

For our second ordered pairs (1,p), we know that p = -10 from the equation that we solved. Therefore (1,p) = (1,-10). Substitute x1 = 1 and y1 = -10 in the equation.

[tex] \large{y - ( - 10) = 4(x - 1)} \\ \large{y + 10 = 4(x - 1)}[/tex]

Hence, the equation of a line in point-slope form as in (1,-10) is y+10 = 4(x-1)

Answer

Both equations work for point-slope form.

Questions can be asked through comment.

Hope this helps, and Happy Learning! :)

Answer:

0.05%

Step-by-step explanation:

Answer:

141

Step-by-step explanation:

Answer:

Step-by-step explanation:

18+7+5^3-9

25+125-9

150-9

141

Answer:

16 1/2 feet

Step-by-step explanation:

The above question is calculated as:

1/2 inch = 1 1/2 feet.

5 1/2 inches = x

Cross Multiply

1/2 inch × x = 5 1/2 inch × 1 1/2 feet

x = 5 1/2 inch × 1 1/2 feet/ 1/2 inch

x = 11/2 × 3/2 ÷ 1/2

x = 11/2 × 3/2 × 2/1

x = 33/2 feet

x = 16 1/2 feet

Therefore, the actual length of the kitchen is 16 1/2 feet

Answer:

Here we have the sequence:

6, 12, 18, 24

We can assume that this is an arithmetic sequence, this is, the difference between any two consecutive terms is always the same, D.

To check this, let's find the difference between the consecutive terms:

12 - 6 = 6

18 - 12 = 6

24 - 18 = 6

So we can conclude that this is an arithmetic sequence, and the difference between any two consecutive terms is always 6.

a) Then the next number in the sequence will be equal to the previous number plus 6, this is:

24 + 6 = 30

The next number in the sequence is 30

b) The term-to-term rule is the rule that defines the n-th term based on the previous terms.

Here we already know that each term in this sequence is the previous one plus six, so we can write this as:

Aₙ = Aₙ₋₁ + 6

c) The position-to-term rule is the general one.

Here we need to know that, the first term, A₁ = 6

Then, the n-th term will be A₁ plus (n - 1) times 6.

Then the rule is:

Aₙ = A₁ + (n - 1)*6

Replacing A₁ by its value, the rule becomes:

Aₙ = 6 + (n - 1)*6

(3x - 5) + 2(5x - 10) + 2(6x + 25) = 540

3x - 5 + 10x - 20 + 12x + 50 = 540

25x + 25 = 540

25x = 540 - 25

25x = 515

x = 515 / 25

x = 20.6

Answer:

[tex]\huge\boxed{\sf x = 20.6}[/tex]

Step-by-step explanation:

We know that the sum of interior angles of a pentagon is:

=> (n-2) *180

Were n is the no. of sides

=> (5-2)*180

=> 3 * 180

=> 540

Hence, The sum of interior angles of a pentagon is 540.

So,

=> 3x - 5 + 6x + 25 + 5x - 10 + 5x - 10 + 6x + 25 = 540

Combining like terms

=> 3x + 6x + 6x + 5x + 5x - 5 + 25 + 25 - 10 - 10 = 540

=> 25x + 25 = 540

=> 25x = 540 - 25

=> 25x = 515

Divide both sides by 25

=> x = 515 / 25

=> x = 20.6

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

Terry 108

300

Step-by-step explanation:

7a² - 4 if a = 4

7(4)² - 4

7(16) - 4

112 - 4

108

Terry 108

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

72/120 * 500

300

Answer: one, sorry wrong person

Step-by-step explanation:

Answer:

a=4

Step-by-step explanation:

13x2=26

34-26=8

8/2=4

Answer:

friend me on here and imma send you the link Step-by-step explanation:

Answer:

Step-by-step explanation:

kk

Answer:

I think it would be 132

Step-by-step explanation:

20% of 110=22 (22+110)=132

Answer: 125

Step-by-step explanation: 5•5•5

Answer:

$648.5

Step-by-step explanation:

Given data

Principal= $6,500

Rate= 2.5%

Time= 5 years

The compound interest formula is given as

A= P(1+r)^t

substitute

A= 6500(1+0.025)^5

A= 6500(1.025)^5

A=6500*1.131

A=$7351.5

After 5 years the money in the account will be $7351.5

Now to buy a car of  $8,000

The added amount will be  

=$8,000-$7351.5

=$648.5

Answer:

Step-by-step explanation:

6^10 can also be written as

b.6^8.6^2

6^8+2

610

d.(6^10)^1

6^10*1

6^10

Answer:

B and d are correct because does are the only two that equal 6^10 ( or 60466176 )

Step-by-step explanation:

Answer:

hope this helps <33 (55.460)

Step-by-step explanation:

 2.35

x 23.6

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

1      23

1 . 4 1 0

1    1

7 . 0 5 0

1

47 . 0 0 0

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

1

5 5 . 4 6 0

Answer:

x2 or x square

Step-by-step explanation:

hope it helps

Answer:  I think it’s Area of the new park is 602000 yd

Answer:

90,375 yd^2

Step-by-step explanation:

A scale factor of three means that the park will be 3 times larger than the original, they may use fancy words, but it’s that simple.

30,125 * 3 = 90,375 yd^2

Answer:

6.4082, 6.509, 6.58, 6.8

Step-by-step explanation

:)

Answer:

About 13.45 miles ( rounded )

Step-by-step explanation:

You would use the pythagorean theorem to solve this. ([tex]a^{2}[/tex]+ [tex]b^{2}[/tex] = [tex]c^{2}[/tex])

[tex]a^{2}[/tex] would be one length of that triangle, we'll use 9.

[tex]b^{2}[/tex] would be the other length of that triangle, we'll use 10.

So, now you have to square both of them.

[tex]9^{2}[/tex] = 81 ( 9 x 9 )  [tex]10^{2}[/tex] = 100 ( 10 x 10 )

Which you will get 81 and 100. Then you add those two numbers together.

100 + 81 = 181

Now that you have 181, you have to square root 181.

[tex]\sqrt{181}[/tex]

With that you should get 13.45 miles. (rounded)

Answer:

[tex]10 \frac{23}{40}[/tex]

Step-by-step explanation:

Convert to a mixed number by placing the numbers to the right of the decimal over 1000. Reduce the fraction.

Answer:

423/40 or if it can't be improper than 10 23/40

Answer: 490 m

Step-by-step explanation:

Answer:

It's 25x^6.

Thumbs-up (^_-)

Answer:

mean=sum of data/no of data

=5+8+1+7+4+3+2+2/8

=32/8

4

Step-by-step explanation:

Therefore mean=4