Please help me write an equation.

Answer:

(-3,0)

[0,4]

Step-by-step explanation:

Answer:

The numbers are --> x = -4 + √21 i and  x = -4 — √21 i

See the attachment for my step-by-step explanation

(solution is in red box)

The number that would have to be added in the given quadratic equation to complete the square is '-21' and this can be determined by using the factorization method.

Given :

Quadratic equation  --  [tex]x^2+8x+37 = 0[/tex]

The following steps can be used in order to determine the number that would have to be added to complete the square:

Step 1 - The factorization method can be used in order to determine the number that would have to be added to complete the square.

Step 2 - Write the given quadratic equation.

[tex]x^2+8x+37 = 0[/tex]

Step 3 - Now, if '-21' is added in the above quadratic equation then the above equation becomes the complete square.

[tex]x^2+8x+37+(-21) = 0[/tex]

[tex]x^2+8x+16 = 0[/tex]

[tex](x+4)^2 = 0[/tex]

For more information, refer to the link given below:

https://brainly.com/question/17177510

Answer:

17. Vertex R

18. line FG

19. line RS

20. no they aren't collinear but they are coplanar

21. yes they are collinear but they aren't coplanar

22. plane HEF, plane RPE and plane EPQ

Answer:

14

Step-by-step explanation:

x+21=7(x+9)

x+21=7x+63

-6x=42

x=-7

(-7)^2+5(-7)

=49+(-35)

=49-35

=14

Answer:

[tex]-\frac{6}{4}[/tex]

Step-by-step explanation:

The first 2 numbers cancel, and -15/4+9/4 is the same as 9/4 - 15/4

Please mark me as brainliest if I am correct

Answer:

6

Step-by-step explanation:

In the equation, [tex]\frac{23}{4} + -\frac{23}{4} --\frac{15}{4} + \frac{9}{4}[/tex], we can see that [tex]\frac{23}{4} + -\frac{23}{4}[/tex] cancel each other out

This leaves us with [tex]--\frac{15}{4} + \frac{9}{4}[/tex]. The negatives "negate" themselves giving us [tex]\frac{15}{4} + \frac{9}{4} = \frac{24}{4}[/tex] or [tex]6[/tex]

Hopefully (some part of) this explanation makes sense (or at least somewhat). If this doesn't make sense, please tell me and I will try to make it more understandable as soon as possible.

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Answer:

5

Step-by-step explanation:

Solution is 8 in

Let´s call dimensions of the box

According to the problem statement

y = x + 3     and    h = 4 in

The volume of the box is:

V = x×y×h       V = 360 in³

Then  V = x × ( x + 3 ) × 4     ( by substitution of y as a function of x )

360 = x × ( x + 3 ) × 4

Simplifying by 4

90 =  x × ( x + 3 )

90 = x² + 3x

We got a second degree equation, solving for x

x² + 3×x - 90 = 0

x₁,₂ = ( -3 ± √ (3)² + 4×90 )/2   ⇒   x₁,₂ = ( - 3 ± 19,21 )/2

x₁   ⇒  is a negative value    x = - 11,1  so we dismiss such solution

x₂  = 16.21/2

x₂  =  8.1 in

rounding to the nearest integer number we get the value for the length f the box

x₂ = 8 in        ⇒ x = 8 in

Note: In Brainly.com in search bar ask for cube dimensions

Answer:

2×1790

5×716

4×895

10×358

Answer:

6.3

Step-by-step explanation

Each side of a square is equal; therefore, to find the length of one side, we can find the square root of the area, which, rounded, is 6.3.

Answer:

a=A=40≈6.32456in

Answer:

The square root of 465 with one digit decimal accuracy is 21.5.

Step-by-step explanation:

√465 = 21.5

I believe the answer you are looking for is 4/5.

Solution:

1/2 • 4/3=2/3

2/3÷5/6=2/3 • 6/5

4/5

It's 200

Step-by-step explanation:

200 = 2 × 2² × 5²

Answer:

-17/24

Step-by-step explanation:

[tex] - \frac{1}{3} + - \frac{3}{8} = - \frac{1}{3} - \frac{3}{8} = - ( \frac{1}{3} + \frac{3}{8} ) = - (\frac{8 + 9}{24} ) = - \frac{17}{24} [/tex]

We know that:

There are n arithmetic means between the numbers 33 and -3

second last mean: second mean = 1:5

Using this, we can find that the value of n is 9.

Now let's see how we need to use the information.

"There are n arithmetic means between the numbers 33 and -3"

This means that we will have a sequence like:

33, a₁, a₂, ..., aₙ, -3

And by the given ratio, we know that:

aₙ₋₂:a₂  = 1:5

Also, because this is an arithmetic sequence we have:

a₁ = 33 + d

a₂ = 33 + d + d

aₙ ₋ ₂ = 33 + (n - 2)*d = -3 - 2*d

Because of the ratio, we will have that:

aₙ₋₂/a₂ = 1/5

We can replace what the left side by:

(-3 - 2*d)/(33 + 2*d) = 1/5

now we can solve this for d.

-3 - 2*d = (33 + 2*d)*(1/5)

5*(-3 - 2*d ) = (33 + 2*d)

-15 - 10d = 33 + 2d

-15 - 33 = 2d + 10d

-48 = 12d

-48/12 = -4 = d

So now we know that the value of d is -4.

Now we can use the equation

aₙ ₋ ₂ = 33 + (n - 2)*d = -3 - 2*d

to find the value of n:

33 + (n - 2)*d = -3 - 2*d

33 + (n - 2)*-4 = -3 - 2*-4

33 - 4n + 8 =  -3 + 8

41 - 4n = 5

-4n = 5 - 41 = -36

n = 36/4 = 9

The value of n is 9.

If you want to learn more, you can read:

https://brainly.com/question/11559160

Answer:

Step-by-step explanation:

HI. just posted a question can u help me out pleas please

Is it [ -(–0.4) ] or (-0.4) did you solve it both ways if it was [–(–0.4) ] or (-0.4)

____o______o____

[tex]0.2 \div - 1 \times (0.6 - 0.4) \\ = - 0.2 \times (0.2) \\ = - 0.04[/tex]

_____o_____o_____

[tex]0.2 \div - 1 \times (0.6 - ( - 0.4)) \\ = - 0.2 \times (0.6 + 0.4) \\ = - 0.2(1) \\ = - 0.2[/tex]

I hope I helped you^_^

Answer:

gzhausiaoa

Step-by-step explanation:

hshshsshhehehehehhdhdhdhdhhdhdhdfhfh

Answer:

Ann = 112.5 and Annie = 157.5

Step-by-step explanation:

7-5 = 2

One share = 45/2 = 22.50

Ann = 22.5 x 5 = 112.50

Annie = 22.5 x 7 = 157.50

You can check this is correct my subtracting them from each other and confirming that Annie has 45 more dollars than ann

Hope this helps!!

is this the line diagram?

and if it is it's HI the second answer.

because  a line is named by either using two points on the line in capital letters with an arrow on the top or by using a lowercase letter.

Answer:

a^2-ab+b^2

Step-by-step explanation:

factorize both of them.

Answer:

Step-by-step explanation:

Remember:

[tex]a^3+b^3=(a+b)(a^2-ab+b^2)\\[/tex]

[tex]a^3+b^3=(a+b)(a^2-ab+b^2)\\\\\\a^4+a^2b^2+b^4=a^4+2a^2b^2+b^4-a^2b^2\\\\=(a^2+b^2)^2-a^2b^2\\\\=(a^2+b^2-ab)(a^2+b^2+ab)\\\\HCF=a^2+b^2-ab\\[/tex]

Answer:

The total interest of $320 will be the sum of the amount earned in each account.

Step-by-step explanation:

320 = x(0.04)(1) + (5000-x)(0.08)(1)

320 = 0.04x + 400 - 0.08x

-80 = -0.04x

2000 = x

5000 - x = 3000

$2,000 was invested at 4%

$3,000 was invested at 8%

Answer:

[tex] - 2z - xy = x + 7 \\ x + xy = - 2z - 7 \\ x(1 + y) = - 2z - 7 \\ \\ x = \frac{ - 2z - 7}{1 + y} [/tex]

I hope I helped you^_^

Width = 2w , Length = w+5 , perimeter = 40

Perimeter of rectangle = 2 (Length + Width)

P= 2 (L + w)

40 = 2 [ (w+5) + (2w) ]

40 = 2 ( 3w+5)

40= 6w +10

6w= 40 – 10

6w= 30

w = 30/6

w = 5

Width = 2w = 2(5) = 10

Length = w + 5 = 5+5 = 10

I hope I helped you^_^

Answer:

x= - 8/5

Step-by-step explanation:

-24x+2=18-14x

-24x+14=18-2

-10x=16

x= - 8/5

Answer:

x=70

Step-by-step explanation:

c would equal 80 because 80 is on the othwr side and 30 would transfer to the angle of D the you would add 80 and 30 and subtract it by 180 leaving you with 70

Answer:

B is in 4th quadrant.

Step-by-step explanation:

If mid point of AB is on x-axis then and A is in 3rd quadrant then B must be on the opposite side of A.Therefore it is in 4th

B is in fourth quadrant when AB is the midpoint on y axis

If the center of AB is on the x-axis

A is in the third quadrant,

let two points ( -2, -2 ) in third quadrant .

then B must be on the side of A that is opposite from A.

B thus comes in fourth.

then points ( 2,-2 ) are in fourth quadrant  .

Learn more about Quadrants here:

brainly.com/question/7196312

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