A triangle with vertices at (-6, 5), (-5, 1), and (-8, 2) is reflected over the y-axis. What are the coordinates of the vertices of the reflected image? Enter the correct answers in the boxes. Show Hints Preimage coordinates Image coordinates (-6,5) (-5,1) (-8,2)​

Answer:

30

Step-by-step explanation:

Multiples of 6 are 6,12,18,24,30.

Multiples of 10 are 10,20,30.

30 is the number they both have in common first. 30 is the LCM.

Hope this helps!

The least common multiple (LCM) of 6 and 10 is 20

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

6 and 10

The multiples of 6 are 6, 12, 18, 24, 30, 36, ...

The multiples of 10 are 10, 20, 30, 40, 50, 60,...

Now,

The least common multiple (LCM) of 6 and 10.

= 30

Thus,

30 is the LCM of 6 and 10.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

The general strategy for solving an equation of the form

is to multiply both sides by a, provided a and b are numerical constants, and x is unknown. This gives

Hence, the correct option is C

The two way frequency table is discussed below. The table to show the relative frequencies for each grade category is discussed below. According to the relative frequency table, 8th grade had the greatest number of students who preferred one of the toppings.

The completed two-way frequency table is shown below

               Cheese         Pepperoni           Veggie           Total

7                20                      12                      8                    40

8                18                       16                      14                   48

Total          38                      28                     22                  88

To find the relative frequency for each grade category, we need to divide each frequency by the total number of students

                Cheese         Pepperoni           Veggie            Total

7                0.227             0.136                  0.090              0.453

8                0.204             0.181                   0.159               0.544

Total           0.431              0.317                  0.249               0.997

According to the relative frequency table, 8th grade had the greatest number of students who preferred one of the toppings, with a relative frequency of 0.544.

To know more about frequency table here

https://brainly.com/question/31189964

#SPJ1

Answer:

the lowest scoreis -3

Step-by-step explanation:

the lowest score is -3

Answer:

The radius of the cone is approximately 1.4 feet

Step-by-step explanation:

The given parameters of the cone are;

The height of the cone, h = 4 ft.

The volume of the cone, V = 7.77 ft.³

The volume, 'V', of a cone is given by the following formula;

V = 1/3 × π·r²·h

Where;

V = The volume of the cone = 7.77 ft.³

r = The radius of the cone

h = The height of the cone = 4 ft.

By substituting the vales of 'h' and 'V' in the above equation, we have;

7.77 ft.³ = 1/3 × π × r² × 4 ft.

∴ r = √(3 × 7.77 ft.³/(π × 4 ft.)) = 1.36196580784 ft.

∴ The radius of the cone, r ≈ 1.4 ft. (rounding the answer to the nearest 10th)

Answer:

0.67

Step-by-step explanation: From Delta math

Answer:

95

Step-by-step explanation:

19 x 5 = 95

Answers:

==================================================

Explanation for problem 1

Divide each term over its previous term.

We can stop here. The two results 0.8 and 0.75 do not match up, so we don't have a common ratio. Therefore, this sequence is not geometric. A geometric sequence must have each ratio of adjacent terms to be the same value throughout the list of numbers.

Side note: This sequence is arithmetic because we are subtracting the same amount each time (12) to generate each new term.

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

Explanation for problem 2

Like before, we'll divide each term by its previous term.

Each ratio found was 2. This is the common ratio and it shows we have a geometric sequence. It indicates that each term is twice that of its previous term. Eg: the jump from 12 to 24 is "times 2".

The general solution of equation y''+4y=sec(2z) is

y = c₁cos2z + c₂sin2z + \(\frac{cos2z}{4}\) ln(cos2z) + \(\frac{z sin2z}{2}\).

Given differential equation is,

y'' + 4y = sec(2z)

Characteristic equation of this equation is

(D²+4)=0

⇒ D² = -4

    D =  ±2i

Therefore the roots are imaginary.

D₁=2i ⇒ y₁ = e⁰cos2z = cos2z

D₂=-2I⇒ y₂ = e⁰sin2z = sin2z

yn= c₁cos2z + c₂sin2z

Noe to solve yp, first we need to solve Wronskian

y₁= cos2z ,   y₂=sin2z

y₁'= -2sin2z , y₂'=2cos2z

⇒ W = \(\left[\begin{array}{ccc}y1&y2\\y1'&y2'\\\end{array}\right]\) = \(\left[\begin{array}{ccc}cos2z&sin2z\\-2sin2z&2cos2z\\\end{array}\right]\)

                              = (cos2z)(2cos2z)-(-2sin2z)(sin2z)

                              = 2cos²2z + 2sin²2z

                              =2 (cos²2z + sin²2z)

                              = 2 ≠ 0

yp = - y₁\(\int\ {\frac{y2 g(z)}{W} } \, dz\) + y₂\(\int\ {\frac{y1 g(z)}{W} } \, dz\)

    = -(cos2z)\(\int\ {\frac{(sin2z)(sec2z)}{2} } \, dz\) + (sin2z)\(\int\ {\frac{(cos2z)(sec2z)}{2} } \, dz\)

    = - (cos2z)\(\int\ {\frac{sin2z/cos2z}{2} } \, dz\) + (sin2z)\(\int\ {\frac{cos2z/cos2z}{2} } \, dz\)

    = - \(\frac{cos2z}{2}\)\(\int\ {tan2z} \, dz\) + \(\frac{sin2z}{2}\)\(\int\ \,dz\)

    =  - \(\frac{cos2z}{2}\)(-\(\frac{1}{2}\) ln (cos2z)) + \(\frac{sin2z}{2}\) (z)

    =  \(\frac{cos2z}{4}\)ln(cos2z) + \(\frac{zsin2z}{2}\)

Now the general equation will become

y = yn + yp

y = c₁cos2z + c₂sin2z +\(\frac{cos2z}{4}\)ln(cos2z) + \(\frac{zsin2z}{2}\)    .

To know more about Wronsian here

https://brainly.com/question/16930425

#SPJ4  

Answer:

13 cm

Step-by-step explanation:

\( \sqrt{ {12}^{2} + {5}^{2} } = \sqrt{169 } = 13\)

Explanation:

The graph of y = -3/5x + 9 is a straight line, so to graph the function we need to identify two points of the line.

Then, we can find two points if we give a value to the variable x and calculate the value of y as:

If x = 5 then:

y = (-3/5)x + 9

y = (-3/5)*5 + 9

y = -3 + 9

y = 6

If x = 10 then:

y = (-3/5)*10 + 9

y = -6 + 9

y = 3

Therefore, we have the points (5, 6) and (10, 3), so the graph of the line is:

Answer:

19 dollars

Step-by-step explanation:

What you have to do is find a way to make sure each book is the same price and it lowers to 16. First rule out 1-10. It wouldn't be possible. Next, try and start with the even numbers (16, 18, 20, and so on). It can't be twenty because 20 x 8 equals 160 and you're left with 16 dollars, not 8. so it's either 14, 15, 16, 17, 18, or 19. I calculated with my calcuator that it's not any of the answers but 19. So try it out!

The total materials cost before sales tax is $297.21.

The total materials cost is the result of the addition of the total cost of posts, wire mesh, gate, and staples, as follows.

The length of the rectangular space = 6 meters

The width of the space = 10.5 meters'

The perimeter of the space = 33 meters [2(6 + 10.5)]

The space between posts = 1.5 meters

The number of posts = 22 (33 ÷ 1.5)

The cost per post = $2.69

a) The cost of the posts = $59.18 ($2.69 x 22)

The cost of wire mesh:

Cost per meter = $5.96

The number of meters of wire mesh = 33 meters

b) Total cost of the wire mesh = $196.68 ($5.96 x 33)

c) Cost of the gate = $25.39

Cost of Staples:

The number of staples per post = 7

The total number of staples required = 154 (22 x 7)

The number of boxes of staples = 4

The cost per box = $3.99

d) The total cost of staples = $15.96 (4 x $3.99)

The total cost of materials = $297.21 ($59.18 + $196.68 + $25.39 + $15.96)

Learn more about determining the total costs at https://brainly.com/question/25109150.

#SPJ4

Answer:

72 stickers can be given

Answer:

Step-by-step explanation:

Use Pythagorean to determine the type of the triangle.

If the square of the longest side is equal to sum of the squares of the other sides, it is right, if smaller, then the triangle is acute, if greater, then the triangle is obtuse.

This shows the angle opposite to the longest side is greater than 90°

Hence the triangle is obtuse

We know

Pythagorean theorem states

If it's true triangle is right .

If

LHS>RHS triangle is obtuse and vice versa

Here

Which is less than 12²=144

Obtuse triangle

Accupunture is best these days for medication and health therapy.

Learn more about accupunture click here:

https://brainly.com/question/452258

#SPJ4

The centroid(x bar, y bar) of the region bounded by: y = 8x^2 + 2x, y = 0, x = 0, and x = 3 x bar =27/16 y bar = 0

To find the x-coordinate of the centroid, we need to calculate the average x-coordinate of all the points in the region. We can do this using the formula:

x = (1/A) ∫x dA

where A is the area of the region and the integral is taken over the region. Since the region is bounded by the x-axis and the parabola, we can integrate with respect to y from y = 0 to y = 8x² + 2x. Thus, we have:

x = (1/A) ∫∫x dA = (1/A) ∫[0,3] ∫[0,8x²+2x] x dy dx

To evaluate this integral, we need to reverse the order of integration and integrate with respect to x first. Thus, we have:

x = (1/A) ∫⁰₈∫x dx dy + (1/A) ∫[8,24] ∫[0,(y-2)/16] x dx dy

Evaluating these integrals, we get:

x = 27/16

To find the y-coordinate of the centroid, we use a similar formula:

y= (1/A) ∫y dA

where A is the area of the region and the integral is taken over the region. Since the region is bounded by the x-axis and the parabola, we can integrate with respect to x from x = 0 to x = 3. Thus, we have:

y= (1/A) ∫∫y dA = (1/A) ∫⁰₃ ∫[0,8x²+2x] y dx dy

To evaluate this integral, we can use the fact that the parabola is symmetric about the line x = -1/8, which means that the centroid lies on this line as well. Thus, the y-coordinate of the centroid is the same as the y-coordinate of the vertex of the parabola, which is y = 0.

To know more about centroid here

https://brainly.com/question/10708357

#SPJ4

Answer:

26

Step-by-step explanation:

9=x+1

5=10÷3

9=x+1

5=3.333°

Now you need to find scale factor (sf)

5÷3.333°=1.5

SF=1.5

9÷3.333=2.7

2.7-1=1.7

x=1.7

Answer:

  x = 5

Step-by-step explanation:

Given PQRS ~ UVWT and PQ = 5, RS = 9, UV = 10/3, WT = x+1, you want the value of x.

Corresponding side lengths of similar polygons are proportional. This means ...

  WT/UV = RS/PQ

  (x+1)/(10/3) = 9/5 . . . . . . . . . . . substitute given values

Multiplying by 10/3 gives ...

  x +1 = (10/3)(9/5) = 6

  x = 5 . . . . . . . . . subtract 1

9514 1404 393

Answer:

Step-by-step explanation:

A monomial is one term, which may be a constant. In the context of a polynomial, the literals in a term have non-negative integer exponents.

A fraction with a variable in the denominator is a rational expression, not considered to be a "term."

2/x and 5/y are not terms, so not monomials.

_____

Further explanation

In a larger context, a term is any mathematical expression that is to be considered as a unit. It may include radicals, rational expressions, even sums or differences. So, the expressions 2/x and 5/y may be considered to be terms in a different context than here. For example, we could say that ...

  2x⁻¹ +5y⁻¹

is a 2-term expression, though it could not be part of any polynomial.

The solution to the systems of equations graphically is (2, 4)

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

y = 2x

y = -x + 6

Next, we plot the graph of the system of the equations

See attachment for the graph

From the graph, we have solution to the system to be the point of intersection of the lines

This points are located at (2, 4)

Read more about equations at

brainly.com/question/148035

#SPJ1

two sides with / = isosceles

(2 equal sides)

and

180 - 98 = 82° for the 2 other angles

: 2 = 41° per angle

so < 90° => acute

It's not hemisphere,It's a complete sphere .

Volume

Volume of each hemisphere.

Answer:

304.5 cm2

Step-by-step explanation:

Think imaginatively, we got two congruent triangles and two rectangles with different dimensions.

S.A. of 2 triangles = 2*( 1/2 x B x H)

= 2*( 1/2 x 10.5 x 14) = 147 cm2

Rectangle 1 = 5*17.5 = 87.5 cm2

Rectangle 2 = 5*14 = 70 cm2

Total = 147 + 87.5 + 70 = 304.5 cm2

Answer:

d = 100t

Step-by-step explanation:

Answer: To find the percentage of people with an IQ score less than 117, we need to calculate the z-score first. The z-score measures how many standard deviations an individual score is from the mean in a normal distribution.

The z-score formula is given by:

z = (x - μ) / σ

Where:

Let's calculate the z-score:

Now, we need to find the percentage of people with a z-score less than 1.1333. We can look up this value in the standard normal distribution table (also known as the Z-table) or use statistical software/tools.

Using the Z-table, we find that the percentage of people with a z-score less than 1.1333 is approximately 0.8708, or 87.08% (rounded to the nearest hundredth).

Therefore, approximately 87.1% of people have an IQ score less than 117.

Answer:

We can use the formula for the area of a kite, which is (1/2) x (diagonal1) x (diagonal2), to solve this problem.

Let's assume that the two diagonals of the kite have lengths d1 and d2, with d1 being the longer diagonal. We know that the area of the kite is 28 m^2, so we have:

(1/2) x d1 x d2 = 28

We also know that the height of the kite is 4 m, and the length of the other diagonal is 10 m. The height of the kite partitions the longer diagonal into two segments, each with length x. By the Pythagorean theorem, we have:

x^2 + 4^2 = (d2/2)^2

Simplifying, we get:

x^2 + 16 = (d2^2)/4

Multiplying both sides by 4, we get:

4x^2 + 64 = d2^2

Substituting d2 = 10, we have:

4x^2 + 64 = 100

Solving for x, we get:

4x^2 = 36

x^2 = 9

x = 3

Therefore, the value of x (the length of one of the two segments of the longer diagonal that are partitioned by the height) is 3 meters.

Step-by-step explanation:

Answer:

-22

Step-by-step explanation:

-5 + 6 x -3

= -5 + -17

= -5 - 17

= -22

Answer:

-23

Step-by-step explanation:

-b+6x

putting the values

-5+6×(-3)

= -5-18

= -23

Answer:

35 students brought their lunch to school on Thursday

Step-by-step explanation:

700 students

Convert 5% to a decimal

5% = 0.05

Then multiply

700 * 0.05 = 35