Solve by completing the square x^2+6x+13=0

Answer:

Step-by-step explanation:

To find the value of x we can use either sine or cosine

Using cosine we have

From the question

x is the hypotenuse

4 is the adjacent

We have

We have the final answer as

Hope this helps you

Step-by-step explanation:

Sinø=opp/hyp

Sin45=4/x. (× b.s by x)

xSin45=4. (÷ b.s by Sin 45)

x=4/Sin45

x=4.7

Answer:

4x+7y

4(3/4) +7(-1/3)

3-7/3

=2/3

please mark as brainliest

Answer:

[tex]4a^{2} + 9b^{2} + 3b[/tex]

Step-by-step explanation:

Distributive Property

[tex]4a^2 - 3(2b - 3b^{2} + 3b)[/tex]

Distributive Property

[tex] {4a}^{2} - 6b + 9b^{2} + 9b[/tex]

Combine Like Terms

[tex]4a^{2} + 9b^{2} + 3b[/tex]

The midpoint is  -1π.

Answer:

The midpoint is  -1π.

Step-by-step explanation:

Answer:

-22

Step-by-step explanation:

Answer:

$280

Step-by-step explanation:

4 shirts = $112

1 shirt = $112 ÷ 4

= $28

10 shirts = $28 × 10

= $280

Answer:

Step-by-step explanation:

112/4= $28 each

$28 x 10 shirts = $280

Answer:

9-1+8+4

Step-by-step explanation:

9-1=8

use that 8 and add the other 8 to make 16

now add the 4. 16+4=20

Answer:

1, 4, 8, 9, 11, 14, 18, 19

Answer:

See Below

Step-by-step explanation:

Answer:

The relationship between x and y is;

y = -0.5x - 4.5

Step-by-step explanation:

When x = -1, y = -4.

Thus from y = -0.5x + [?], we have;

-4 = -0.5(-1) + [?]

Let's call the question mark m for easy identification.

-4 = 0.5 + m

m = -4 - 0.5

m = - 4.5

At x = 0, y = - 4.5. Thus;

-4.5 = - 0.5(0) + m

m = -4.5

At x = 1, y = -5. Thus;

-5 = - 0.5(1) + m

-5 = - 0.5 + m

-5 + 0.5 = m

m = -4.5

We are seeing the same patter as m = - 4.5

Thus the relationship between x and y is;

y = -0.5x - 4.5

Answer:

-17x³-10x²+x+9

Step-by-step explanation:

(5x³+4x²+6x-3)+(-2x³+3x²-7x+9)-(5x+3)(4x²+x-1)

(5x³+4x²+6x-3)+(-2x³+3x²-7x+9)-(20x³+5x²-5x+12x²+3x-3)

(3x³+7x²-x+6)-(20x³+17x²-2x-3)

-17x³-10x²+x+9

Answer:

Step-by-step explanation:

Hello,

You need to group the terms in x

[tex]-2 \times x + \times x = (-2+5) \times x = 3 x[/tex]

And then, you can divide by 3 to find the solution

[tex]-2x+5x=3x=9<=>x=9/3=3[/tex]

Hope this helps

Answer:

add the x's

You have to combine them

you have to subtract the -2x to the 5x

Answer/Step-by-step explanation:

Let us try to find the lenght of AM step-by-step to see if Jessica is correct or incorrect in her conclusion and possibly find out where she made an error if she's incorrect.

Now briefly, keys state some facts that explains or guides us while solving a problem like this:

1. Point M is the midpoint of segment AB.

2. The midpoint M, is a bisector of segment AB.

3. Segment AB is divided into two congruent or equal parts, AM and MB.

4. Therefore, by implication, segment AM (4x - 18) = segment MB (2x - 2).

5. To find the lenght of AM, we need to generate an equation to enable us solve for the value of x.

6. Equation to use to solve using algebra can be gotten by setting segment AM equal to segment MB. Which gives us:

4x - 18 = 2x - 2

Solve for x. Combine like terms.

4x - 2x = 18 - 2

2x = 16

Divide both sides by 2

x = 8

To find the lenght of AM = 4x - 18, replace x with 8 in the expression for the lenght of segment AM. (Note: this is what Jessica failed to do. She assumed 8 to be the length of segment AM.)

AM = 4(8) - 18 (Substitution)

AM = 32 - 18

Length of segment AM = 14 units

Jessica's error was her assuming that x = 8, is the length of segment AM. Her conclusion is wrong.

She ought to have plug in the value of x into the expression given for the lenght of segment AM.

Answer:

Tens, 70, 7x10'1

Angles XQL and MQR are congruent because they are vertical angles. So

209 - 13 b = 146 - 4 b

Solve for b :

209 - 13 b = 146 - 4 b

209 - 146 = 13 b - 4 b

63 = 9 b

b = 63/9 = 7

Then the measure of angle XQL is

(209 - 13*7)º = 118º

Answer:

This is the answer

Answer: B

Step-by-step explanation:

Answer:

$0.50x+5=30

Step-by-step explanation:

maf

Well, this should be a bit easy.

We can move the negative sign to the denominator:[tex] \frac{3}{-8}[/tex]

We can also multiply the entire fraction by an integer.

( I would perfer [tex] \frac{3}{-8}[/tex] as the answer)

:)

Step-by-step explanation:

4 + 7 x X = 22

4+7x=22

7x=22-4

7x=18

x=18/7

Answer:

g=r/1+5c3

Step-by-step explanation:

............ ........

Answers:

The Weighted Average = 5.35

Explanation:

The weighted average is given by:

W(avg) = v1*w1 + v2*w2 + v3*w3

v1.v2.v3 are the values

w1,w2,w3 are the weights

W(avg) = 5.00*0.75 + 6.00*0.15 + 7.00*0.10

W(avg) = 3.75+0.9+0.7

W(avg) = 5.35

Hence, the weighted average is equals to 5.35

Answer:

44

Step-by-step explanation:

you would add 15+15 and 12+12 because it is rectangular meaning there are 4 sides 2 for the y angle and 2 for the x angle

Answer:

I think that the answer would be question 3

Step-by-step explanation:

I think i remember doing this question

Answer:

6x=6

Step-by-step explanation:

13x+2=15

13x=13

x=1

Answer: 6x = 6

X = 1

Step-by-step explanation:

First you need to find the value of x with the equation given.

13x = 13 (I subtracted 2 from both sides)

X = 1

Answer: Width=76 ft

Step-by-step explanation:

Let x = width, then x+17=length

Solve:

(x+17)x=7086

x²+17x=7086

x²+17x-7086=0

(x-76)(x+93)=0 ⇔ This is rounded to the nearest integer

x=76 or x=-93 (rej) ⇔ A length cannot be negative.

Answer:

See below.

Step-by-step explanation:

So we want to prove that:

[tex]\sqrt8+\sqrt2=3\cdot 2^{\frac{1}{2}}[/tex]

First, simplify √8. This is the same as:

[tex]\sqrt8=\sqrt{4\cdot 2}=\sqrt4\cdot\sqrt2=2\sqrt2[/tex]

Therefore, our equation is now:

[tex]2\sqrt2+\sqrt2=3\cdot2^{\frac{1}{2}}[/tex]

Combine like terms on the left:

[tex]3\sqrt2=3\cdot 2^\frac{1}{2}}[/tex]

The square root of something is the same as taking that number to the one-half power. Thus:

[tex]3(2)^\frac{1}{2}}=3\cdot 2^\frac{1}{2}}[/tex]

Rewrite:

[tex]3\cdot2^\frac{1}{2}}\stackrel{\checkmark}{=}3\cdot2^\frac{1}{2}}[/tex]

And we're done!