If using the method of completing the square to solve the quadratic equation x^2+8x+37=0, which number would have to be added to "complete the square"?

Answer:

The first angle is 37.5° and the second would be 52.5°

Step-by-step explanation:

Angles are complementary when their sums add up to 90°.

[tex]x+(x+15) = 90\\x+x+15=90\\x+x=75\\x=37.5[/tex]

The first angle is 37.5° and the second would be 52.5°, after we plug in x.

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Answer:

Concept:

Here, we need to know the idea of the complementary angle.

Two angles are said to be complementary if they add up to 90 degrees.

Be aware that three or more angles cannot be complementary even if their sum is 90 degrees.

Solve:

Given information

Angle 1 = x

Angle 2 = x + 15

Given expression deducted from the definition of the complementary angle

Angle 1 + Angle 2 = 90

Substitute values into the expression

(x) + (x + 15) = 90

Combine like terms

(x + x) + 15 = 90

2x + 15 = 90

Subtract 15 on both sides

2x + 15 - 15 = 90 - 15

2x = 75

Divide 2 on both sides

2x / x = 75 / 2

[tex]\boxed{x=37.5}[/tex]

Find the measure of angle 2

Angle 2 = x + 15 ⇔ Given expression

Angle 2 = (37.5) + 15 ⇔ Substitute values into the expression

Angle 2 = [tex]\boxed{52.5}[/tex] ⇔ Simplify by addition

Hope this helps!! :)

Please let me know if you have any questions

Answer:

10X^2-39x+14

(5x-2)(2x-7

Answer:

x - 6y + 10z

Step-by-step explanation:

7x + 3y - 5z - (8x - 3y + 5z)

= 7x + 3y - 5z - 8x + 3y - 5z

= 7x - 8x + 3y + 3y - 5z - 5z

= - x + 6y - 10z

OR

= -(- x + 6y - 10z)

= x - 6y + 10z

Answer:

Exact Form:

14 /15

Decimal Form:

0.93

Step-by-step explanation:

Answer:

14/15

Step-by-step explanation:

-2/5 + 4/3

= 14/15

Step-by-step explanation:

this the solution hope it is helpful for you

Answer:

[tex]\sqrt{5[/tex] = 2.23606797...

[tex]\sqrt{6}[/tex] = 2.44948974...

[tex]\sqrt{7}[/tex] = 2.64575131...

[tex]\sqrt{8}[/tex] = 2.82842712...

Answer:

A rational number is normally number that can be expressed in the form of p/q where q ≠ 0. But, [tex]\sqrt{42}[/tex] cannot be expressed in the form of p/q. So. this means that

(Can I have Brainliest please? It really helps me help more people in Brainly!)

Step-by-step explanation:

In isocseles triangle, base angles are equal :

base angles are angle N and angle P:

angle N=angle P

3x+17=4x+2

4x-3x=17-2

x=15

For angle N:

subtitute x in angle N

=3(15)+17

=45+17

=62

For angle P:

subtitute x in angle P:

=4(15)+2

=60+2

=62

For angle O:

sum of all angles in a triangle is 180.

angle N +angle P+angle O=180

62+62+angle O=180

angle O=180-62-62

angle O=56

Note: if you have any question let me know about it. thanks

Answer: 2 -(-6) = 2 + 6 = 8

* (+) - (-) = (+)

If helpful, brainliest please !

Answer and Step-by-step explanation:

If you're confused by what this expression means by looking at it, then try writing or saying out loud the expression.

Two minus negative 6. (2 - (-6))

We know from math that when two negative numbers multiply together, they result in a positive.

We have here the negative 1 (represented as just -, because it isn't necessary to include 1 in the expression) multiply the negative 6.

-1 * -6 = +6.

Now we have the expression 2 + 6.

Add them together.

2 + 6 =

8

8 is the answer.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

Step-by-step explanation:

9.21954445 to round 9 :D have a bless day

Hi ;-)

[tex]8\times8=5 \ \boxed{\text{eights}}+3 \ \text{eights}\\\\=40+\boxed{24}\\\\=\boxed{64}[/tex]

Answer:

[tex]8 \times 8 = 5 \times eights + 3eight \\ 8 \times 8 = 40 + 24 \\ 8 \times 8 = 64 \\ thank \: you[/tex]

Step-by-step explanation:

Option a is the correct answer

(2x+1)+(4x+5)+(3x+4)

2x+1+4x+5+3x+4

9x+10

Answer:

It's the second option: y = √x -2

Step-by-step explanation:

Answer:

1st box is "a 90°clockwise rotation about the origin

2nd box is "a 180° rotation about the origin

3rd box is "a 90° counterclockwise rotation about the origin

Answer:

irrational

Step-by-step explanation:

irrational number is an endless number/number that doesnt end and so are that number.

Answer:

Your answer is x=7

Step-by-step explanation:

To get your answer, first you add 24+25. This equals 49.

Next, you see what you have to multiply by 7 to get 49.

7 goes into 49 7 times.

(7*7)-24=25.

Answer:

The correct answer is -76.

Step-by-step explanation:

The step-by-step solution is shown in the image provided here, I hope it will help.

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Rewrite the length as an improper fraction.

21 7/8 = 175/8

Write the quantity of stamps as a fraction: 25/1

Divide length by number of stamps:

175/8 / 25/1

When dividing by a fraction change the sign to multiplication and flip the second fraction over:

175/8 x 1/25.

Now multiply numerators and then denominators:

(175 x1) / (8x 25) = 175/200

Simplify to 7/8

Each stamp is 7/8 inches long

Answer:

After 5 seconds

Step-by-step explanation:

One is given the following expression to model to the flight path of a ball:

[tex]h=-16t^2+80t[/tex]

In this problem, one is asked to find the time at which the ball lands on the ground. The easiest way to do so is to factor the expression. Take out factors that both terms have in common. The one will set the equation equal to zero, as this is the height at which one wants to find the time for. Finally, use the zero product property to solve. The zero product property states that any number times zero equals zero. Apply these ideas to the given function:

[tex]h=-16t^2+80t[/tex]

Factor the expression; both terms have a common factor of (-16t):

[tex]h=-16t^2+80t[/tex]

[tex]h=-16t(t-5)[/tex]

Set the equation equal to zero to solve for when the ball has a height of zero or rather lands on the ground:

[tex]h=-16t(t-5)[/tex]

[tex]0=-16t(t-5)[/tex]

Now use the zero product property, this states that any number times zero equals zero. Set each of the factors equal to zero, and solve to find the value of (t) for which the factor will equal zero:

[tex]0=-16t(t-5)[/tex]

[tex]0=-16t[/tex]                          [tex]t - 5 =0[/tex]

Solve for the value (t) using inverse operations,

[tex]0=-16t[/tex]                            [tex]t - 5 =0[/tex]

(divide by (-16)                   (add (5))

[tex]0=t[/tex]                                     [tex]t=5[/tex]

As one can see, the ball started on the ground, therefore at (0) seconds, its height was (0). Then, after (5) seconds the ball landed on the ground, therefore, after (5) seconds its height was again (0).

Answer:

0.573

Step-by-step explanation:

5(1/10)+7(1/100)+(3/1000)

=5/10+7/100+3/1000

=0.5+0.07+0.003

=0.573

Hey there! I'm happy to help!

First of all, don't worry so much about struggling with something difficult! It's part of the human experience. Our minds are wired to be challenged but then when we push through and have faith in ourselves that's how we grow and improve!

What we are dealing with here are lines. We are being given the coordinates for one endpoint of a line and a midpoint and we want to find the other endpoint.

Let's just go one-dimensional first to make this easier to understand. Imagine that you have a number line. You draw a line going from 1 to 7. So, 1 and 7 are the two endpoints. Your midpoint is going to be halfway between those two. To find the middle of anything, you just add the two numbers and divide them by two.

1+7=8

8/2=4

So, 4 is our midpoint in this situation.

So, what if we just had our endpoint 1 and our midpoint 4? Well, we see that we go forward three spaces to get to 4. Now we are halfway! Then, we just do another three to make it to our finish line, which is 7. Or, we just take that distance and multiply it by two! This is related to our divide by two rule but just backward!

So, let's look at these problems.

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

A.

We have the coordinates of our line here. Our endpoint is (1,-9) and our midpoint is (4,-1). Remember what we did with our number line? We are basically going to do it with our x and y values.

So, to go from our endpoint 1 to 4 we go three spaces. If we go another 3 spaces, it will be 7. So, our x-value is 7.

With our y-values, we go from -9 to -1, so we climb 8 spaces. If we add another 8 spaces we will end up at 7, so our y-value is 7 again!

So, our other endpoint is (7,7)!

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

B.

To go from -2 to 9 is adding 11, so we add another 11 to 9 to give us an x-value of 20.

Going from 19 to 2 is subtracting 17, so we need to subtract another 17, which gives us a y-value of -15.

So, our endpoint is going to be (20, -15).

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

Have a wonderful day and keep on learning! :D

Answer:

(-6,1)

Step-by-step explanation:

-x + y = 7 [Equation (1)]

2x + 5y = -7 [Equation (2)]

Multiplying equation (1) by 5, to make the coefficients of y equal in both equations.

5(-x + y) = 5(7)

=> -5x + 5y = 35 [Equation (3)]

Subtracting equation (3) from equation (2).

(2x + 5y) - (-5x + 5y) = -7 - 35

=> 2x + 5y + 5x - 5y = -7 - 35

=> 7x = -42

=> x = -42/7

=> x = -6

Putting the value of x in equation (1).

-(-6) + y = 7

=> 6 + y = 7

=> y = 7 - 6

=> y = 1

So, x = -6 and y = 1.