Jesus Christ is our lord and savior he died for us on the Christ because he loves us and wants entirety hapiness for us❤️Amen

Answer:

the mid point is 6,3

Step-by-step explanation:

the mid point is 6,3

The correct answer is: the quantity 8 over 17 end quantity squared plus the quantity 15 over 17 end quantity squared equals 1

What is a Pythagorean identity?

The Pythagorean identity for sine and cosine states that for any angle θ,

sin²θ + cos²θ = 1

We can use the given values of sine and cosine to find the missing trigonometric function:

tan(θ) = sin(θ) / cos(θ) = (8/17) / (15/17) = 8/15

Now, we can use the Pythagorean identity to determine which of the given statements is true:

1 + (8/17)² = 1 + 64/289 = 353/289 ≠ (15/17)²

1 + (15/17)² = 1 + 225/289 = 514/289 ≠ (8/17)²

(8/17)² + (15/17)² = 64/289 + 225/289 = 1

Therefore, the statement that can be proven using the Pythagorean identity is:

(8/17)² + (15/17)² = 1

Hence, the correct answer is: the quantity 8 over 17 end quantity squared plus the quantity 15 over 17 end quantity squared equals 1

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The value of x in the circle is 22

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

The figure

Using the theorem of intersecting chords, we have the following equation:

LQP = 1/2 * (MN + PL)

Substitute the known values in the above equation, so, we have the following representation

86 = 1/2 * (x - 4 + 3x + 2)

Evaluate the like terms

86 = 1/2 * (4x - 2)

Divide

43 = (2x - 1)

This gives

2x = 44

Divide by 2

x = 22

Hence, the value of x is 22

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Answer:

a) -14x-4

try it out, it equals 56, proving the equation is true

Answer:

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Answer:

2 + 9x/11

Step-by-step explanation:

Sry if it’s wrong tho

Grogg's dad is currently 52 years old.

Let's represent Grogg's current age as "g" and Grogg's dad's current age as "d".

From the given information, we can set up two equations based on the conditions:

Seven years ago, Grogg's dad was 6 times as old as Grogg:

d - 7 = 6(g - 7)

Two years ago, Grogg's dad was 4 times as old as Grogg:

d - 2 = 4(g - 2)

To solve this system of equations, we can simplify and solve for one variable in terms of the other.

From equation 1, we can expand and simplify:

d - 7 = 6g - 42

d = 6g - 35

Substituting this expression for "d" into equation 2, we have:

6g - 35 - 2 = 4(g - 2)

6g - 37 = 4g - 8

6g - 4g = 37 - 8

2g = 29

g = 14.5

Now, we can substitute the value of "g" back into equation 1 to find "d":

d = 6g - 35

d = 6(14.5) - 35

d = 87 - 35

d = 52

Therefore, Grogg's dad is currently 52 years old.

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The distance between the point (5,12) and the line y = 5x + 12 is 4.90 units

If a point P with the coordinates (x₁, y₁), and we need to know its distance from the line represented by ax + by + c = 0

Then the distance of a point from the line is given by the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

Given: the point (5,12) and the line y = 5x + 12. The line can be written as

5x-y+12 = 0. Thus:

x₁ = 5, y₁ = 12, a = 5, b = -1, c = 12. Substitute these into the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

d = (5×5 + (-1×12) + 12) / √(5² + (-1)²)

d = 25/√26 = 4.90 units

Therefore, the distance between the point and the line is 4.90 units. Option D is the answer

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Answer:12

Step-by-step explanation: basically 4x3 over the events

Multiplication is the process of multiplying. The number of different possible outcomes for Gianna's board game is 12.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The number of possible options that the die has is 4. The number of possible options the spinner has is 3. Therefore, the total number of possible options is,

Total number of possible options

= (Number of possible options on-die) × (Number of possible options on spinner)

Total number of possible options = 4 × 3

Total number of possible options = 12

Hence, the number of different possible outcomes for Gianna's board game is 12.

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Answer:

2/15

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

The equivalent value of the fraction is A = 2/15

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first fraction be p

Let the second fraction be q

Now , A = p/q

when the value of p = 2/5

And , when the value of q = 3

On simplifying the equation , we get

A = ( 2/5 ) / 3

So , the left hand side of the equation is equated to the right hand side by the value of ( 2/5 ) / 3

A = ( 2/5 ) / 3

A = ( 2/5 ) ( 1/3 )

On simplifying , we get

A = 2/15

A = 0.133333

Therefore , the value of A = 2/15 = 0.133333

Hence , the fraction is A = 2/15

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Answer:

a

Step-by-step explanation:

the data is represented in the dot plot

Answer:

answer is 77.67

Step-by-step explanation:

explain by the x axis is 68 to y axis is 84 so the median is 77.67

Answer:

Fore an=-2(-5)n-1

:substitutute 9 in place of "n" in the equation

= -2(-5)9-1

Multiply -2 and -5 to get positive 10

=(10)(9)-1

Multiply 10 and 9 to get 90

=90-1

Subtract 1 from 90

=89 therefore 9th term is 89

Step-by-step explanation:

For

an= 6(-3)n-1

(Follow the above procedure)

=6(-3)9-1

=-18-1

=-19

For

an= -7n-1

(Follow the same procedure as above)

-7(9)-1

=-63-1

=- 64

Answer:

1000 tiles

Step-by-step explanation:

Determine total floor space
800 x 10 = 8000 squared cm total floor space.
Divide floor space by size of tile
8000 / 8 = 1000 tiles now required to cover the floor.

The answer of the given question based on the the sentence into an equation is , 2x - 3 = 4.

In mathematics, equation is statement that asserts equality of the two mathematical expressions. It typically contains variables, constants, and mathematical operations like  addition, subtraction, multiplication, division, exponentiation, and logarithm. An equation usually consists of two sides, the left-hand side (LHS) and the right-hand side (RHS), separated by an equal sign (=). The values of the variables that satisfy the equation are called its solutions.

The sentence be translated into equation are as  follows:

2x - 3 = 4

where x is the unknown number.

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Answer:

A

Step-by-step explanation:

as it is a reflection (as in a mirror or in a lake, or ...), the distances from either side of the mirror must be equal.

Answer:

91.85 hope this helps :))))))

Answer:

since ellen wants to buy all these items we add the prices together

19.95+41.25+30.65

this equals 91.85

so ellen needs $91.85 to buy all of the items she wants

The value of the evaluated function f(x) = -3x² + 2x  at  

(i) f(-2) is -16   ;

(ii) f(a) is -3a² + 2a .

The Function is represented as : f(x) = -3x² + 2x  ;

(i) We have to evaluate the above function at f(-2),

So, we substitute x = -2 into the function:

we get ;

⇒ f(-2) = -3(-2)² + 2(-2)

⇒ f(-2) = -12 - 4 = -16  .

So ,  f(-2) = -16  .

(ii) Next we have to evaluate f(a),

So , we substitute x = a into the function:

⇒ f(a) = -3a² + 2a

So , f(a) = -3a² + 2a   .

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The given question is incomplete , the complete question is

For the following exercises, evaluate the function f(x) = -3x² + 2x ; at the given input: (i) f(-2) (ii) f(a)  .

Answer:

Just some background:

Congruent means that a triangle has the same angle measures and side lengths of another triangle.

SAS congruence theorem: If two sides and the angle between these two sides are congruent to the corresponding sides and angle of another triangle, then the two triangles are congruent. Congruent triangles: When two triangles have the same shape and size, they are congruent.

Let's look at A first.

The triangle on left, we know 40 and 30 degree angles. So 3 all angles together = 180, so the 3rd angle = 180-30-40 = 110.

Now look at the triangle on the right. The angle shown is 110! This angle is between the sides marked with || and ||| marks, indicating that those two sides are the same length between both triangles.

Therefore both triangles are the same by Side-Angle-Side or SAS.

Now look at B.

It's a right triangle. We are missing 1 side of each triangle.

Let's solve for the missing "leg" of the triangle on the right. The pythagorean theorem says that a^2 + b^2 = c^2 where a and b are the 'legs' or sides of the triangle and c is the hypotenuse (always the longest length opposite the right angle).

so 2^2 + b^2 = 4^2

4 + b^2 = 16

b^2 = 16-4

b^2 = 12

That missing side is the \(\sqrt{12}\).

This does NOT match the triangle on the left.

Theses two triangles are NOT congruent.

We substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

The given system of equations are 2x-1/3y = -2...(1)

3x+y=1...(2)

We solve this system of equations by using substitution method.

Let us solve for x in equation to substitute it in equation (2).

2x=-2+1/3y

Divide both sides of equation by 2.

x=-1+1/6y

Now plug in the value of x in equation 2.

Hence, we substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

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The biker needs to travel 45 km more to complete his journey.

Given that, a biker traveled 2/5 of the road on the first day, then traveled 5 kilometers less on the next day, which is equal to 3/8 of the road, we need to find how much he need to cover more,

Let the total distance of the road be x,
So,

2x/5 - 5 = 3x/8

2x/5 - 3x/8 = 5

Solving for x,

Multiply by 40 to both sides,

16x-15x = 200

x = 200

Therefore, the total distance of the road is 200 km.

Since, he travelled =

200 (2/5) = 80 km + 200 (3/8) = 75 km = 155 km

Therefore, he needs to travel 200-155 = 45 km more.

Hence, the biker needs to travel 45 km more to complete his journey.

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The inequalities that can be used to represent the situation are:

Inequalities are mathematical statements showing that two or more mathematical expressions are unequal.

With inequalities, two or more values are compared to show that they are not equivalent.

Inequalities can be represented as follows:

The cost of small candles per unit = $3.50

The cost of large candles per unit = $5.00

The number of small candles = x

The number of large candles = y

The number of candles Jimmy needs to buy ≥ 20

The total amount Jimmy can spend on the candles ≤ $80

3.50x + 5y ≤ $80

x + y ≥ 20

Thus, with these inequalities, the total cost of small and large candles must not exceed $80 and the number can be 20 or more.

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Show the two inequalities representing the situation.

Answer:

1 23/28

Step-by-step explanation:

turn both of your numbers into fractions: 17/3 and 28/9

to turn you equation into something that you can simplify, flip one of your fractions and that will turn the division sign into a multiplication sign:

17/3 x 9/28

you can simplify this by simplifying 9 to 3 and 3 to 1.

this means you now have 17 x 3/28

multiply 17 and 3 together since they are the numerators, you should get 51/28

now turn this into a mixed fraction: 1 23/28

Answer:

Step-by-step explanation:

plug in 7

f(x)=3(7)+2

multiply 3 and 7 which is 21

and 2

f(x)=23.

Answer:

The numbers are 26.5, 53 and 17.5.

Step-by-step explanation:

97=x+(x-9)+2x

97+9=4x

106/4=4x/4

x= 26.5

x-9 = 17.5

2x= 53

Answer:

2x+3y=1470

Step-by-step explanation:

Modeling this scenario with a system of equations using a linear function and a quadratic function yields the following:

y = 2(x - 4)² + 2.

5x + 11y = 62.

A quadratic function with vertex (h,k), may be represented by the equation:

y = a(x - h)² + k

Because the vertex of this issue is located at (4,2), we may deduce that h = 4 and k = 2, and the equation for this problem is as follows:

y = a(x - 4)² + 2.

Because it goes through the location characterized by its coordinates (5, 4), we may determine a by establishing that when x = 5, y = 4.

4 = a + 2.

a = 2.

Thus the equation is:

y = 2(x - 4)² + 2.

The slope, denoted by m, is the rate of change, or the degree to which y deviates from its initial value for each unit of x that is added.

The y-intercept, denoted by the letter b, is the value of the variable y when the variable x is equal to zero. It may also be construed as the beginning value of the function.

Because the road links the locations (–3, 7) and (8, 2), the slope may be calculated as follows:

m = (2 - 7)/(8 - (-3)) = -5/11.

Then:

y = -5/11x + b.

When x = 8, y = 2, hence we use it to find b as follows:

2 = -40/11 + b

b = 62/11.

Then the equation is:

y = -5/11x + 62/11.

5x + 11y = 62.

The system of equations is:

y = 2(x - 4)² + 2.

5x + 11y = 62.

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Answer:

a edge

Step-by-step explanation:

Answer:

dhkmbhuigago katangina mo

Answer:

hope help you stay happy

Answer:

C. tan K=31/24

Step-by-step explanation:

Relations in right triangles:

The sine of an angle is the length of the opposite side to the angle divided by the length of the hypotenuse.

The cosine of an angle is the length of the adjacent side of the angle divided by the length of the hypotenuse.

The tangent of an angle is the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

In this question:

Sides 24 and 31.

Side opposite to K: 31

Side adjacent to K: 24

Then

tan K=31/24

And the correct answer is given by option D.