7.You plan to show that triangle QRS is similar to triangle XYZ by the SSS Similarity Theorem. Complete the proportion that you will use:

Answer:

y = ±5

x = ±6

Step-by-step explanation:

Here we have the system:

x^2 + y^2 = 61

x^2 - y^2 = 11

Notice that we have both variables squared, then we can define:

x^2 = X

y^2 = Y

And write our system as:

X + Y = 61

X - Y  = 11

To solve this, the first step is to isolate one of the variables in one of the equations, i will isolate X in the second equation:

X = 11 + Y

Now we can replace this in the other equation to get:

(11 + Y) + Y  = 61

Now we can solve this for Y

11 + 2*Y = 61

2*Y = 61 - 11 = 50

Y = 50/2 = 25

Y = 25

And remember that Y = y^2

then:

y^2 = 25

y = √25 = ±5

And using the equation: X = 11 + Y

X = 11 + 25 = 36

X = x^2 = √36 = ±6

Answer:

1. [tex]-3x^{2} +6x+4[/tex]

2. [tex]3x^{2} -19x-14[/tex]

Step-by-step explanation:

1. Just subtract them. (To subtract easier, ignore the variables and subtract regularly. When you're done go back and put the variables back in)

2. Foil

[tex](3x +2)(x-7)[/tex]

[tex]3x^{2} -21x+2x-14\\3x^{2} -19x-14[/tex]

Answer:37.5 is C

Step-by-step explanation:

You get this by using Butterfly method 80/100 = 30/x

Answer:

I think the answer wold be -5/3 or -1.666666667 .

The value of the given expression is,

[tex]log_8 \frac{1}{32}[/tex] = -3/5

The given logarithmic expression is,

[tex]log_8 \frac{1}{32}[/tex]

Since we know that,

The power to which a number must be increased in order to obtain additional values is referred to as a logarithm. The easiest approach to expressing enormous numbers is this manner. Numerous significant characteristics of a logarithm demonstrate that addition and subtraction logarithms may also be represented as multiplication and division of logarithms.

We can write the given expression as,

[tex]log_8 \frac{1}{32}[/tex] =   [tex]log_8 32^{-1[/tex]

          = - [tex]log_8 32[/tex]                  [ [tex]log_a b^x = x log_a b[/tex]]

          = - [tex]log_{2^3} 2^5[/tex]

          =  - [tex]\frac{3}{5} log_{2} 2[/tex]                 [ [tex]log_{a^y} b^x = \frac{x}{y} log_a b[/tex]]

          = -3/5                       [  [tex]log_{a} a = 1[/tex]]

Hence,

[tex]log_8 \frac{1}{32}[/tex] = -3/5

To learn more about exponent visit:

https://brainly.com/question/31242910

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Answer:

50 students per bus

Step-by-step explanation:

You would need to subtract 29 from 379. You would get 350, then divide by 7.

or set up and equation

379=29+7x

Answer:

176,400

Step-by-step explanation:

Answer:

It equals 176400

Whats 2 * 2 * 3 * 5 * 13 * 89

Step-by-step explanation:

Answer:

4 smoothies.

Step-by-step explanation:

We divide 1/3 into 1 5/8  ( which is 13/8).

= 13/8 / 1/3

=  13/8 * 3

= 39/8

= 4 7/8

Maximum number = 4.

Answer:

option A is correct answer

divide both sides with 2

hope it helps

Answer:

option A is the right condition to be fulfilled to solve the equation.

Step-by-step explanation:

I think this is helpful so you wanted by graphing and this is what I saw I hope it is helpful and good luck

I think this is invalid because it is a convenience sample. All of the 5th graders she asked were her friends, and they were all in the art club.

Answer:

8x+13

Step-by-step explanation:

It goes through all, trust me. Put the equation and the point in desmos, a graphing calculator

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Circumference and area formulas

Given

Find r:

Find the area:

Answer:

22.21 m/s

Step-by-step explanation:

1 hour = 80km

1 minute = 80000 ÷ 60 = 1.333km

1 second = 1.333 ÷ 60 = 22.21

Answer:

Step-by-step explanation:

The pentagon faces are made up of five triangle each with 9 ft bases and 6.2 ft heights. And there are five rectangular sides of 9 by 5 feet. So the total surface area is

A=2*5*9*6.2/2+5*9*5

A=279+225

A=504 ft^2

Answer:

Formula: nl(b + h) it is derived as well

504 ft²

Step-by-step explanation:

Each vertical face is a rectangle.

Area of each face = length x breadth = lb

For n-sided polygon, area of vertical faces = n x lb = nlb

For horizontal faces:

Observe: you can actually divide that face in 5 right-angled triangle(two edge point & centre form right angled ∆). [For n-sided, that's n right angled ∆]

For 2 such faces, you have 2 x n times of area of 1 ∆.

Area of 2n∆ = 2n( ½ x h x base(length)) = nhl

Total area = area of horizontal surfaces + area of vertical surfaces

Total area = nlb + nhl = nl(b + h)

Total area = 5*9(5 + 6.2) = 504 ft²

Answer:

y equals 5. all you have to do is isolate the variable.

Use the midpoint formula,

[tex]\left( \dfrac{x_1+x_2}{2} , \dfrac{y_1+y_2}{2} \right)[/tex]

where x₁ = -3, x₂ = 4, y₁ = -5, and y₂ = 4.

[tex]\left( \dfrac{x_1+x_2}{2} , \dfrac{y_1+y_2}{2} \right) \implies \left( \dfrac{-3+4}{2} , \dfrac{-5+4}{2} \right) = \left(0.5, -0.5\right).[/tex]

So, the midpoint of A and B is (0.5, -0.5). It should be in the first quadrant.

Answer:

Ok, sabemos que Carlos ha construido un 3/7 de una casa.

Queremos saber cuanto le falta para terminar de construirla.

Entonces podemos realizar el cálculo:

1 casa - lo que Carlos ya construyo = Lo que le falta.

Entonces:

1 casa - 3/7 de una casa = X

Podemos reescribir:

1 casa = 7/7 de una casas

así tenemos:

7/7 de una casa  - 3/7 de una casa = X

(7/7 - 3/7) de una casa = X

4/7 de una casa  = X

Así podemos concluir que a Carlos le falta construir 4/7 de una casa para acabar.

Answer:

option D

Step-by-step explanation:

option D is the correct answer of this question.

100% .

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if you find it useful.

Answer:

The "first step" is the multiplication of 4 and 87

Step-by-step explanation:

I'll assume that you actually meant 4y + 97.  If you substitute 87 for y, you get 4(87) + 97.  The "first step" is the multiplication of 4 and 87:

348 + 97, or

445

Answer:

Tank A is filling faster

Step-by-step explanation:

On the graph, You can see that the line of tank A is rising far faster than tank B.

Answer:

Tank A is filling faster because it's a longer line.

Answer:

The degree is 6 and there are 2 terms

Answer:

(a) Coefficient of x

5

=−6

    Coefficient of x

2

=0

(b) Degree of polynomial = highest degree of monomial with non-zero coefficient =7

(c) Constant term = Coefficient of x

0

=−6

(d) Number of terms =4

Step-by-step explanation:

Answer:

points

Step-by-step explanation:

Answer:

15,625

Step-by-step explanation:

Answer:

15625

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

if she connects it to any other point angle would be more the 30 degree

Answer:

Its D, 30 is acute and the arrow points to the right

Answer:

Step-by-step explanation:

area=(20 ×20)÷2=200 sq . units