Select operations that can be used too find solutions to the following equations. *

The perimeter of the figure described in the question is 42.84cm

The figure is defined by a half circle is joined to an equilateral triangle with side lengths of 12 units.

So the perimeter of the figure will be equal to half of the circumference of the triangle plus the length of the two exposed sides of the triangle.

The diameter of the circle will also be 12 units, remember that the circumference of a circle of diameter D is:

C = 3.14*D

In this case, the circumference of half circle is:

C = 3.14*D/2

Replacing the value of the diameter:

C = 3.14*12cm/2 = 18.84cm

Adding the two sides of the triangle we get the perimeter.

P = 18.84cm + 2*12cm = 42.84cm

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Answer:

5 bud i think it this but i might be wrong

Answer:

List Price = $ 20.30

Discount Amount = $ 1.22

Answer:

A. P = 50,200(1 + 0.09)2

Answer:

P = 50200(1+0.09)²

Step-by-step explanation:

To find the answer to this question we use the equation new value = original value x \(d^{n}\), where d is the multiplier

We are told that our original value is 50200 and to find the multiplier we have to do 1 + 0.09. This is because the population is increasing by 9% which as a decimal is 0.09!

This means that our equation would be P = 50200(1+0.09)²

Hope this helps, have a lovely day! :)

Answer:

-1+2x= 17

2x=18

x=9

Step-by-step explanation:

ans. 9

Answer:

its A) 9

Step-by-step explanation:

Choice D is correct

Every point on circle is equidistant from the point at its centre and that fixed distance = radius of that circle.

Answer:

B

Step-by-step explanation:

The width of the first box for B is 2 the second box is 4. 4÷2=2

The length of the first box for B is 3 and the second box is 3. 6÷3=2

The second box increase by 2

Answer:

He sold 17 shirts at the festival.

The total number of t-shirts Felipe sold is 17 t-shirts.

Consider that the number of t-shirts Felipe sold be "x".

Since He made a profit of $5 for each t-shirt sold. Therefore, his profit from selling t-shirts is 5x. also made a profit of $40 from selling hats.

His total profit is given as $125.

So we can write the following equation:

5x + 40 = 125

Subtracting 40 from both sides;

5x = 85

Dividing both sides by 5, we get:

x = 17

Therefore, Felipe sold 17 t-shirts.

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This is actually a great problem. When you first look at it you might feel a little disgust, then a little fear, and then confusion. What do you do?

Well when I saw this, I thought, "What if I was on the outside of this shape, and walked all the way around it?" Let's entertain this idea for a second. When I turn each corner, I would be going however many degrees to get to the next side. And when I finally arrive back where I started, I have gone one full turn, 360º. So if you think about it, that means adding all the exterior angles must give you 360º!  Now we can solve for v:

(2v - 4) + 63 + (2v - 1) + (v + 37) + 36 + 113 + (4v - 37) = 360

9v + 207 = 360

9v = 153

v = 17.

Isn't that pretty?

Answer:

Step-by-step explanation:

15

Step-by-step explanation:

For a left-hand limit, we start at the left side and move right, and see where the function goes as we get close to the x value.

For a right-hand limit, we start at the right side and move left, and see where the function goes as we get close to the x value.

If the two limits are equal, then the limit exists.  Otherwise, it doesn't.

1.  As we approach x = 2 from the left, f(x) approaches -2.

lim(x→2⁻) f(x) = -2

As we approach x = 2 from the right, f(x) approaches 1.

lim(x→2⁺) f(x) = 1

The limits are not the same, so the limit does not exist.

lim(x→2) f(x) = DNE

2. As we approach x = 2 from the left, f(x) approaches 4.

lim(x→2⁻) f(x) = 4

As we approach x = 2 from the right, f(x) approaches 2.

lim(x→2⁺) f(x) = 2

The limits are not the same, so the limit does not exist.

lim(x→2) f(x) = DNE

3. As we approach x = 2 from the left, f(x) approaches 2.

lim(x→2⁻) f(x) = 2

As we approach x = 2 from the right, f(x) approaches 2.

lim(x→2⁺) f(x) = 2

The limits are equal, so the limit exists.

lim(x→2) f(x) = 2

4. As we approach x = 2 from the left, f(x) approaches 2.

lim(x→2⁻) f(x) = 2

As we approach x = 2 from the right, f(x) approaches infinity.

lim(x→2⁺) f(x) = ∞

The limits are not the same, so the limit does not exist.

lim(x→2) f(x) = DNE

Answer:

x=9 which makes angle q 28 degrees

Step-by-step explanation:

please mark me as the brainliest

Answer:

length is 20, so width would be 16

Step-by-step explanation:

Answer:5SQRT61/

61

Step-by-step explanation:

Given the following:

for angles JKM and LKN, we can use the angle addition postulate to get the following:

but angles LKM and JKN are congruent, therefore:

Answer:

3x

Step-by-step explanation:

8x+8-5x-8

minus like terms

8x+ (-) 5x=3x

+8 -8 = 0

The true statements are:

A circle is a closed, two-dimensional shape where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the middle.

To identify the true statements, we can first rewrite the given equation of the circle in standard form:

x² - 2x + y² = 8

Completing the square, we get:

(x - 1)² + y² = 9

Now we can identify the true statements:

Therefore, the true statements are:

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Answer:

binomial and not a polynomial

163. The distance between A(-5, 6) and B(5, -5) is: AB ≈ 14.9 units

164. Applying the Pythagorean theorem, we have: Diagonal ≈ 21.2 ft.

165. Marissa's final answer is wrong. It should be, c = √676 = 26 units.

166. Missing side = 29 ft.

The Pythagorean theorem states that c² = a² + b², given that a and b are shorter legs and c is the hypotenuse or longest leg of the right triangle.

163. The distance between A(-5, 6) and B(5, -5):

AB = √[(5−(−5))² + (−5−6)²]

AB = √221

AB ≈ 14.9 units

164. Apply the Pythagorean theorem to find the diagonal:

Diagonal = √(15² + 15²) ≈ 21.2 ft.

165. The answer Marissa got is wrong. The final answer which is the square root of 676 is:

c = √676 = 26 units.

166. Missing side = √(20² + 21²) = 29 ft.

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Step-by-step explanation:

you need to solve this equation:

(3x-5)+(10x-7)=180° because they are inner angles so their sum is 180°

The algebraic expression for Desmond's height is x + 5.

If we let "x" represent Niki's height in inches, then Desmond's height can be represented by "x + 5", since Desmond is 5 inches taller than Niki.

So the algebraic expression for Desmond's height is x + 5.

Algebraic expressions is consist of variables, numbers, and mathematical operations (such as addition, subtraction, multiplication, and division).

They can contain one or more variables and can be evaluated for different values of the variables.

For example, the expression 3x + 5y - 2z is an algebraic expression that contains three variables (x, y, and z) and three coefficients (3, 5, and -2) that are multiplied by those variables. Algebraic expressions are commonly used in algebra to represent mathematical relationships and solve problems.

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Answer:

The real part is -7.

The imaginary part is 8.

Step-by-step explanation:

A complex number has the form:

\(a+bi\)

Where a is the real part and b is the imaginary part.

We are given:

\(-7+8i\)

Hence:

\(a=-7\text{ and } b=8\)

So, we can say that our real part is -7 and our imaginary part is 8.

Answer:

15i

Step-by-step explanation:

should be correct happy new year

Answer:

Step-by-step explanation:

Always work from the inside out. That means we will deal with the parenthesis first: (4 - 1)

That gives us

2[32 - (3)³]. Next deal with the exponents. That gives us

2[32 - 27]. Next, the last set of parenthesis, which are actually brackets:

2[5] which then, finally, becomes 10

Order of operations...PEMDAS

The complete factorization of the polynomial is:

h(x) = (x - 3)*(x - 1)*(x + 2)

Here we have the polynomial:

g(x)= x³ - 2x² - 5x + 6

And we know that x = 3 is a zero, then (x - 3) is a factor.

So if f(x) = a*x² + b*x + c

We can write:

h(x) = (x - 3)*f(x)

Let's find f(x).

Expanding that:

x³ - 2x² - 5x + 6 = (x - 3)*(a*x² + b*x + c)

x³ - 2x² - 5x + 6 = ax³ + bx² + cx - 3ax² - 3bx - 3c

x³ - 2x² - 5x + 6 = ax³ + (b - 3a)x² + (c - 3b)x - 3c

Comparing like terms, we can see that:

a = 1

b - 3 a = -2

c - 3b = -5

-3c = 6

With the first and last equation we can get:

a = 1

c = 6/-3 = -2

Now with one of these values and the second or third equation we can find the value of b.

b - 3 a = -2

b - 3*1 = -2

b - 3 = -2

b = -2 + 3 = 1

Then:

f(x)  = x² + x - 2

The zeros of this quadratic function are given by:

x = -1±3 / 2

so, we get,

x = (-1 + 3)/2 = 1

x = (-1 - 3)/2 = -2

Then we can factorize this as:

f(x) = (x - 1)*(x + 2)

And then we can write h(x) as:

h(x) = (x - 3)*(x - 1)*(x + 2)

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complete question:

For the polynomial below, 3 is a zero.

g(x)= x³ - 2x² - 5x + 6

Express g (x) as a product of linear factors.

(a)

421₅ = 4×5² + 2×5¹ + 1×5⁰

… = 100 + 10 + 1

… = 111

(b)

11101₂ = 1×2⁴ + 1×2³ + 1×2² + 0×2¹ + 1×2⁰

… = 16 + 8 + 4 + 0 + 1

… = 29

(c)

13T₁₂ = 1×12² + 3×12¹ + 10×12⁰

… = 144 + 36 + 10

… = 190

The completely factorized form of the expression q² - 4 is (q + 2)(q - 2).

Given the expression in the question:

q² - 4

To factorize the expression q² - 4 completely, we can use the formula for the difference of squares.

The difference of squares formula states that :

a² - b² can be factored as (a + b)(a - b).

Given that:

q² - 4

Replace 4 with 2²
q² - 2²

From this expression, let a = x and b = 2

a² - b² =  (a + b)(a - b)

q² - 2² = (q + 2)(q - 2)

Therefore, the factored form is (q + 2)(q - 2).

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The domain of the graph of the exponential function is (d) all real numbers

From the question, we have the following parameters that can be used in our computation:

The graph of the exponential function

The rule of an exponential function is that

The domain is the set of all real numbers

This means that the input value can take all real values

However, the range is always greater than the constant term

From the graph, the constant term is 0

So, the range is y > 0

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Answer:

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

Given is the quadratic equation.

A quadratic equation has two real solutions if the discriminant is positive.

Answer:

tha nks

Step-by-step explanation: