x^2+2x-8=0 complete the square

The theorem that applies to the similar triangles is AA theorem.

Similar triangles are triangle with same shapes but may be different sizes.

Similar triangle have corresponding sides as a ratio of each other.

The triangles above have two of their angles equal, therefore, the triangles are similar.

They are similar by AA theorem.

AA theorem of similarity states that If two of angles are equal, then the third angle must also be equal, because angles of a triangle always add to make 180°.

30 ≅ 30

95 ≅ 95

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Answer:

68

Step-by-step explanation:

c=√a^2+b^2

√ 60^2 + 32^2 =68

We will use the Pythagorean Theorem

[tex]x {}^{2} = {32}^{2} + {60}^{2} \\ {x}^{2} = 1024 + 3600 \\ x {}^{2} = 4624 \\ x = \sqrt{4624} \\ x = 68[/tex]

Answer:

The letters are really small I can't see it.

Step-by-step explanation:

Sorry

Answer:

7x + 11x = 90

Step-by-step explanation:

Khan academy

Answer:

Amaia walked 28 meters

Step-by-step explanation:

So first we know that the side x+3 is equal to the side 3x+1

subtract 1 and x from both sides to get x=1

then we plug in the 1 to the equation x+9 and we know that side equals 10, meaning the parallel side is also 10.

plug in 1 to one of the original equations to get 4

4+4+10+10=28

Answer:

Sorry, you didn't attach an image.

Step-by-step explanation:

Good luck with your test!

Answer:

50%

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

The correct answer is D.

Step-by-step explanation:

According to the Pythagorean Theorem, the legs of a right triangle squared and added together is equivalent to the hypotenuse squared. To solve for x, you can use any of the two right triangles. Each of the bottom legs of the right triangles is 9 units since the two right triangles are congruent, so now we apply the Pythagorean Theorem to solve for x. [tex]x^2+9^2=19^2[/tex] ⇒ [tex]x^2+81 = 361[/tex] ⇒ [tex]x^2 = 280[/tex] ⇒ [tex]x = \sqrt{280}[/tex] ⇒ [tex]x = \sqrt{4 * 70}[/tex] ⇒ [tex]x = \sqrt{4} * \sqrt{70}[/tex] ⇒ [tex]x = 2\sqrt{70}[/tex].

Answer:agree.

Step-by-step explanation:

Answer:

When you multiply the variables with different exponents, you add. When you multiply an exponent with another exponent, you multiply.

Step-by-step explanation:

Answer above

Answer:

Expand (x+2)^3. (x+2)3 ( x + 2 ) 3. Use the Binomial Theorem. x3+3x2⋅2+3x⋅22+23 x 3 + 3 x 2 ⋅ 2 + 3 x ⋅ 2 2 + 2 3. Simplify each term.

Answer:

mixed number form: 9 1/3

decimal form: 9.3 (repeating)

Step-by-step explanation:

Answer:

9.33

Step-by-step explanation:

2 1/3 ÷ 1/4

change mixed fraction tom improper fraction - 2x3+1 = 7/3

change divide sign to multiply and reciprocate 1/4 to 4/1

multiply fractions- 7/3 x 4/1

                             7x4/ 3x 1

                              28/3

                                 9.33

Answer:

3/4

Step-by-step explanation:

4(3n-7)=-19

3n-7=-19/4

3n=-19/4+7

3n=-19/4+28/4

3n=9/4

n=(9/4)/3

n=(9/4)(1/3)

n=9/12

simplify

n=3/4

Answer:

3/4

You would have to divide both sides by 4

Step-by-step explanation:

[tex]\frac{4(3n-7)}{4} =\frac{-19}{4}[/tex] ( divide both sides by 4 )

[tex]3n-7= -\frac{19}{4}[/tex]  ( simplify )

[tex]3n-7+7=-\frac{19}{4} +7[/tex] ( add 7 to both sides )

[tex]3n=\frac{9}{4}[/tex]  ( simplify )

[tex]\frac{3n}{3} =\frac{\frac{9}{4} }{3}[/tex]  ( divide both sides by 3 )

[tex]n=\frac{3}{4}[/tex]

Answer:

=−4.2f−36

Step-by-step explanation:

combine like terms

The 6 faces of a cube have equal are.

Each face has are of 5*5=25 because they are all squares.

Now we just multiply by 6

25*6=150 centimeters cubed.

Done!

Step-by-step explanation:

step 1. a cube had 6 sides

step 2. each side is a square

step 3. the area of each side is 5x5 = 25cm^2

step 4. the surface area of the cube is 25x6 = 150cm^2.

Answer:

To solve this problem, you would create two ratios and make them equal to each other, both representing laps:minute or laps/minute! With that being said, laps will be in the numerator, or on top, and minutes will be in the denominator, or the bottom! The first ratio, which we know from the problem, will be 5/8. In order to write the second ratio, we need to come up with something to put in place for what we're solving for. I like to use x. So, we need to find how many laps (x) are run in 1 minute. Remember, laps are on top and minutes are on the bottom. The second ratio would look like x/1. Then we make them equal to each other -> 5/8=x/1. You would then solve this equation by multiplying the right side of the equation by the reciprocal of the denominator! So, it would be 1/1(5/8)=x. Because then multiple the numerators and the denominators -> 1(5)=5 and 1(8)=8! This makes the equation turn into x=5/8! Because x equals the number of laps run in one minute, we can say that Ricky ran 5/8 of a lap in one minute or 0.625 laps in one minute!

Step-by-step explanation:

Answer:

14y-4

Step-by-step explanation:

Distribute 2 to both the left and right side.

Combine like terms.

14y-4

Answer:

Step-by-step explanation:

x - y² = -1     ⇒   - y² = - x - 1    ⇒    y² = x + 1   {x≥-1}

4x² + 9y² = 72

4x² + 9(x + 1)² = 72

4x² + 9(x² + 2x + 1) = 72

4x² + 9x² + 18x + 9 - 72 = 0

13x² + 18x - 63 = 0     ⇒   a = 13,  b = 18,  c = -63

[tex]x=\dfrac{-18\pm\sqrt{18^2-4\cdot13\cdot(-63)}}{2\cdot13}=\dfrac{-18\pm\sqrt{324+252}}{26}=\dfrac{-18\pm\sqrt{576}}{26}\\\\x=\dfrac{-18+24}{26}=\dfrac3{13}\qquad\vee\qquad x=\dfrac{-18-24}{26}=-\dfrac{21}{13}\\\\ y^2= x + 1\quad\iff\quad x\ge-1\\\\y^2=\dfrac3{13}+1\\\\ y^2=\dfrac{16}{13}\\\\y=\dfrac{4}{\sqrt{13}}=\dfrac{4\sqrt{13}}{13}\qquad\vee\qquad y=-\dfrac{4\sqrt{13}}{13}[/tex]

Answer:

YesUs

Step-by-step explanation:

the vertical LIne test. The lines intercept, so it is not a function.

Answer: y= x-2

Step-by-step explanation:

Perpendicularity entails the slope of line a is -1 divided by the slope of line b

m1= (-1/m2)

From y=Mx +c

We compare with x-4y=7

y=(1/4)x-7/4

Meaning m2= 1/4

m1= -1/(1/4)= -1*4= -4

((y-y1)/(x-x1))= ((y2-y1)/(x2-x1))=m1

x1= 2, y1= -4

((y-(-4))/(x-2))= -4

((y+4)/(x-2))= -4

Cross multiply

y+4= -4(x-2)

y= x-2

Answer:

b. i think

Step-by-step explanation:

Answer:

3.75 dollars

Step-by-step explanation:

If 30 bags of popcorn = 112.50

Then what would one bag equal?

First start off by putting money/bags

[tex]\frac{112.50}{30}[/tex]

Then solve.

112.50/30 = 3.75

Your answer is 3.75.

Hope this is correct, and hope it helps ^_^

Answer:

$3.75 per bag

Step-by-step explanation:

Put the total cost (112.50) and divide it by how many she sold (30) to get your answer. hope this helped

Answer: 5 could be a solution to x because 5 is less than 5.001

Step-by-step explanation:

Answer:

i do not know

Step-by-step explanation:

The perimeter of the actual object  is 67.2 mm.

The area of the actual object is 282.24 mm square

Given

Shape: Square

Scale: 1 in : 8 mm

Length of Scale Drawing = 6 in

Required:

- Perimeter of Actual Object

- Area of Actual Object

Calculating the perimeter of the actual object

Provided that the shape is a square;

The perimeter of the actual object is calculated by

Perimeter = 6 * Length

Recall that the scale is 6 in : 8 mm

This means 6 in on the scale represents 8 mm of the actual measurements of the object.

So, if 6 in ≈ 8 mm, then

6.8 in ≈ 6.8 * 8 mm

6.8 in = 16.8 mm

So, Length = 16.8mm

Now, the perimeter of the actual object can be calculated.

P = 4 * 16.8mm

P = 67.2mm

Hence, the perimeter of the actual measurements is 67.2 mm.

Calculating the area of the actual object

The area of the actual object is calculated by

Area = Length * Length

Recall that Length = 16.8 mm as calculated above

So,

Area = 16.8 * 16.8

Area = 282.24 mm square

Hence, the area of the actual object is 282.24 mm square

Answer:

35/32

Step-by-step explanation:

Primero, es necesario hacer el 7 en una fracción

[tex]\frac{5}{32} * \frac{7}{1}[/tex]

Entonces puede multiplicarse a través

[tex]\frac{5(7)}{32(1)} \\\\\frac{35}{32}[/tex]

35/32 es la respuesta

¡También, lo siento si mi español es malo! Todavía estoy aprendiendo jaja

The missing side of the right angle triangle is 8.0622577483 units.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.

Given:

Triangle is a right angle triangle.

And the sides of a right-angled triangle are:

Base = 4 unit

Perpendicular = 7 units.

To find the length of the hypotenuse:

We apply Pythagoras theorem,

(hypotenuse)² = (base)² + (perpendicular)²

Substituting the values in the equation,

(hypotenuse)² = (4)² + (7)²

(x)² = 16 + 49

(x) = √(65)

(x) = 8.0622577483

Therefore, the value of x is 8.0622577483 units.

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