A chess player moves a knight from the location (3, 2) to (5, 1) on a chessboard. If the bottom-left square is labeled (1, 1), the translation made is (options, 2 squares up and 1 square right, 1 square down and 2 squares left, 1 square down and 2 squares right or 2 squares down and 1 square right) If the player moves the knight from (5, 1) to (6, 3), the translation made is (options, 1 square up and 1 square right. 2 squares up and 1 square right, 4 squares up and 2 squares right or 2 squares up and 1 square left)

Answer:

This indicates that the point of intersection is: (8,-6)

Step-by-step explanation:

The intersection of two lines is the point where they intersect. The point where the line crosses the x axis is called [x-intercept]. The point [y-intercept] is where the line crosses the y-axis.

The point of intersection is calculated by equating their equations. By solving the resulting equation, the coordinates of the cut point are obtained.

In this case you have y=14−2.5x and y=1.5x−18

Equating the equations you get:

14-2.5x=1.5x-18

Solving:

14+18=1.5x+2.5x

32=4x

32÷4=x

x=8

Replacing in both equations: y=14-2.5*8=-6

y=1.5*8-18=-6

This indicates that the point of intersection is: (8,-6)

The intersection point can be seen graphically, representing both lines, as shown in the attached image, where the red line is y = 14−2.5x and the blue line represents y =1.5x-18

Answer:

11 pounds of Guatemala Antigua coffee

9 pounds of Arabian Mocha coffee

Step-by-step explanation:

Guatemala Antigua coffee - $10.20 per pound

Arabian Mocha coffee - $13.00 per pound

First find the total profit from the 20 pounds of the new coffee blend.

20 × $11.46 = $229.20

Now set up an equation.

$10.20g + $13.00a = $229.20

Use guess and check to find the number of pounds of each type of coffee.

$10.20g + $13.00a = $229.20

$10.20(11) + $13.00(9) = $229.20

$112.20 + $117 = $229.20

$229.20 = $229.20

It checks out. So, they should mix 11 pounds of Guatemala Antigua coffee and 9 pounds of Arabian Mocha coffee.

Hope that helps.

Answer:

A =200.96 ft^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

The radius is 8

A = pi 8^2

A = 64 pi

Letting pi = 3.14

A = 64 ( 3.14)

A =200.96 ft^2

Answer:

[tex]\boxed{\mathrm{200.96 \: feet^2}}[/tex]

Step-by-step explanation:

Apply formula for the area of a circle.

[tex]area=\pi r^2[/tex]

The radius is 8 ft.

[tex]A=\pi (8)^2[/tex]

[tex]A=64\pi[/tex]

Take [tex]\pi[/tex] as 3.14

[tex]A=64(3.14)[/tex]

[tex]A=200.96[/tex]

Answer:

  B.  -1.5x − 3.5y = -31.5

Step-by-step explanation:

You want an equation of the line perpendicular to -7x +3y = -21.5 that goes through the point (7, 6).

When the equation of the reference line is given in this form, the equation of a perpendicular line can be found by swapping the x- and y-coefficients, and negating one of them. Swapping coefficients, we have ...

  3x -7y = constant

Negating the x-coefficient gives ...

  -3x -7y = constant

Filling in the given point values, we can find the constant:

  -3(7) -7(6) = constant = -21 -42 = -63

None of the answer choices matches this, but one does match when we divide the numbers by 2:

  -3x -7y = -63

  -1.5x -3.5y = -31.5 . . . . . . matches choice B

Answer:

y = (-3/7)x + 9

Step-by-step explanation:

IF AB has the equation -7x + 3y = -21.5, then 3y = 7x - 21.5 is equivalent.  Dividing both sides by 3 yields y = (7/3)x - 21.5/3.  This reveals that the slope of AB is 7/3 and that the slope of any line perpendicular to AB, as central street PQ is, is the negative reciprocal of the slope of AB, or -3/7.

Thus PQ, being perpendicular to AB, has the slope -3/7.  Starting with y = mx + b, and using the coordinates of P(7, 6), we get:

6 = (-3/7)(7) + b, or 9 = b, so that y = (-3/7)x + 9.

Answer:

1.5 meters

Step-by-step explanation:

We know that the sum of all of the data in a set = average * number of data.

Therefore, the sum of the first 10 is 1.5 * 10 = 15 meters, the sum of the second 10 is 1.48 * 10 = 14.8 meters and the sum of the last 2 is 1.6 * 2 = 3.2 meters for a total of 15 + 14.8 + 3.2 = 33 meters. This means that the mean is 33 / 22 = 1.5 meters.

Answer:

Hey there!

We have the average is: [tex]\frac{10(1.5)+10(1.48)+2(1.6)}{22}[/tex]

This can be simplified to: 33/22, or 1.5

Thus, the mean height on the team is 1.5 m.

Hope this helps :)

Answer:

B

Step-by-step explanation:

[tex]\sqrt[4]{x^\frac{2}{3} }=(x^\frac{2}{3} )^\frac{1}{4} =x^\frac{2}{12}=x^\frac{1}{6}[/tex]

Remember that [tex]\sqrt[n]{x}[/tex] is the same as [tex]x^\frac{1}{n}[/tex].

Also, I used the Power of a Power property.

Answer:

Option B is the correct option

Step-by-step explanation:

[tex] \sqrt[4]{ {x}^{ \frac{2}{3} } } [/tex]

Using [tex] \sqrt[n]{ {a}^{m} } = {a}^{ \frac{m}{n} } [/tex]transform the expression:

[tex]( {x}^{ \frac{2}{3} } ) ^{ \frac{1}{4} } [/tex]

Simplify the expression by multiplying exponents

[tex] {x}^{ \frac{2 \times 1}{3 \times 4} } [/tex]

Calculate the product:

[tex] {x}^{ \frac{2}{12} } [/tex]

Reduce the numbers with G.C.F 2

[tex] {x}^{ \frac{1}{6} } [/tex]

Hope this helps...

Good luck on your assignment...

Answer:

26h + 30

Step-by-step explanation:

Summing up the two earning amounts, we get:

12h + 50 + 14 h - 20,

which simplifies to

26h + 30

This is the total dollar amount earned, where h is the number of hours worked by both people.

Answer:

26h + 30

Step-by-step explanation:

First, I added the expressions together, simply 12h + 50 + 14h - 20

Second, I put the like terms next to each other, and got 12h + 14h + 50 - 20

Third, I combined them to get my final answer, 26h + 30

Answer:

300 years

I hope this helps!

Answer:

RS=5 TRUE

RS=4 FALSE (it’s 5)

ST=10 FALSE (it’s 8)

QR=4 FALSE (its 3)

Step-by-step explanation:

First, we have to determine the sides of the triangle.

4x-3=2x+1

4x-2x=1+3

2x=4

x=2

SO, RS=4x-3=4(2)-3=8-3=5

RT=2(x)+1=2(2)+1=5

QR=4²+b²=5².    16+b²=25.    b²=25-16.    b²=9.     b=3

CLAIMS:

RS=5 TRUE

RS=4 FALSE (it’s 5)

ST=10 FALSE (it’s 8)

QR=4 FALSE (its 3)

Answer:

Golf ball

Step-by-step explanation:

The formula for the surface area of a sphere is 4[tex]\pi[/tex]r².  The variable is the radius.  Therefore, the sphere with the smallest radius would have the smallest surface area.

Hi there!! (✿◕‿◕)

⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐

Golf ball. The formula for surface area of a sphere is 4πr². The sporting ball that has the smaller surface area is golf ball because it has a smaller radius.

Hope this helped!!  ٩(◕‿◕｡)۶

Answer:

the second one

Step-by-step explanation:

when turning a percentage into a fraction put it over 100. I then turned that into a decimal which was 0.35. 2/5 is 0.4 which is also equal to 0.40

Answer: D) 6

Step-by-step explanation:

Because this triangle's legs are x and x*root(3), it is a 30-60-90 triangle.  Thus, the hypotenuse equals 2x, or 6.

Hope it helps <3

Answer:

The difference is that a rate is a comparison of two numbers with different units, whereas a ratio compares two numbers with the same unit. For example, in a room full of students, there are 10 boys and 5 girls.

Answer:

Can you include more detail like the equations to choose from so I can help

Step-by-step explanation:

Answer:

y = 3x^2 + 3x - 3

Step-by-step explanation:

If x is -1, we would do:

3(-1)^2 + 3(-1) - 3 = -3

If x is 0, we would do:

3(0)^2 + 3(0) - 3 = -3

If x is 3, we would do:

3(3)^2 + 3(3) - 3 = 33

Answer: AB ≅ DE

∠BAC≅∠DEF

Step-by-step explanation:

as AAS is a criterion where two angles and a side not included between the angles is congruent with the other triangle's two angles and the side not included between the angles.

Answer:

43.2 units

Step-by-step explanation:

On this problem you would just find the perimeter which is 2(l+w) and that is 24 units and after you do that you would just have to multiply the perimeter 24 times 1.8 which would leave you with and answer of 43.2 units.

Answer:

New length = 3.5 x 8 = 28 cm

New width = 3.5 x 6 = 21 cm

Step-by-step explanation:

Perimeter = 2(28) + 2(21) = 56 + 42 = 98 cm

Area = 28 x 21 = 588 square cm

Answer:

Step-by-step explanation:

Let's solve:

[tex]p = \frac{hx}{5} [/tex]

Multiply both sides of the equation by 5 / h

[tex]p \times \frac{5}{h} = \frac{hx}{5} \times \frac{5}{h} [/tex]

Solve

[tex] \frac{5p}{h} = x[/tex]

Swap the sides of the equation

[tex]x = \frac{5p}{h} [/tex]

Hope I helped!

Best regards!

Answer:

      5p

x = ------

        h

Step-by-step explanation:

Given:  p = hx/5, solve for x:

1. Multiply both sides by 5 to remove the fraction:  5p = hx

2. Divide both sides by h to isolate x:

      5p

x = ------

        h

The measure of the length of line segment BC will be 31.2 units.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

If the two triangles are similar, the ratio of the corresponding sides will be constant.

The triangle ΔABC and ΔBDA are the similar triangle. Then the ratio of their corresponding sides will be constant.

Let x be the length of BC.

x / 12 = 13 / 5

      x = 31.2

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ5

Answer:

31.2 units

Step-by-step explanation:

Answer:

4 points

Step-by-step explanation:

.

Let  L  be the circumference of the circle.

Then the faster cyclist will catch the slower cyclist first time  when the faster cyclist will cover

the distance which exactly 1 circumference longer than the distance covered by the slower cyclist

9t-5t=l

It gives the time to get first meeting point

t=l/9-5=l/4 hours

and the distance which the faster cyclist covered during this time is

d1=9t=9l/4 miles

The distance which the slower cyclist covered during this time is

d2=5t=5l/4

The meeting point is geometrically the same point on the circle for both cyclists, and its angle measure on the circle is

 (1/l)(5l/(4)-l)=1/4

of the full angle of 2pi radians, or 90 degrees.

So, they started simultaneously, and their first meeting point is at the 90 degrees angle.

Next, they started from this point  SIMULTANEOUSLY  and . . . and everything was repeated.

Hence, their next meeting point is the point on the circle with the angle of 180 degrees.

So, there are 4 remarkable points on the circle: first point is the starting point, and 3 other points

(the points where whey meet/catch each other) are the images of the starting point, rotated 90°, 180°, and 270° along the circle.

There are 4 remarkable points on the circle which is the first point is the starting point and 3 other points.

The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.

The circumference of the circle = 2πr

Let  L represent the circumference of the circle.

Then the faster cyclist will catch the slower cyclist the first time when the faster cyclist will cover the distance which is exactly 1 circumference longer than the distance covered by the slower cyclist

9t - 5t = L

It gives them time to get the first meeting point

t = L/9 - 5

t = L/4 hours

The distance which the faster cyclist covered during this time;

d1 = 9t = 9L/4 miles

The distance that the slower cyclist covered during this time is

d2 = 5t = 5L/4

The meeting point is geometrically the same point on the circle for both cyclists, and its angle measured on the circle;

(1/l)(5l/(4)-l)=1/4

Therefore, their next meeting point is the point on the circle with an angle of 180 degrees.

So, there are 4 remarkable points on the circle which is the first point is the starting point and 3 other points.

Learn more about circumference here;

brainly.com/question/12512221

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Answer:

B. 286 m²

Step-by-step explanation:

Surface area = 2*(9*5) + 2*(5*7)+ 2*(9*7) = 286 (m²)

Answer:

b) 286 m²

Step-by-step explanation:

A = 2(l×w + l×h + w×h)

l = 9m

w = 7m

h = 5m

A = 2(9m×7m + 9m×5m + 7m×5m)

= 2(63m² + 45m² + 35m²)

= 2×143m²

= 286 m²

Answer:

15=Does not have the right diagram

16=Does not have the right diagram

17=Sorry I can not draw that on a screen

18=4,8

19=5,4

20=2,7

21=5,8

22=145 Degrees

Step-by-step explanation:

15, Complementary angles are angles on the same side but one is between the parallel lines and one is outside of the parallel lines

16, According to the definition of supplementary angles, they are two angles that sum up to 180, and any two angles that are on the same line, same side and are being separated by a line are supplementary

17,

18, Corresponding angles are angles on the same side but one is between the parallel lines and one is outside of the parallel lines.

19, By the definition of Alternate Interior Angles, they are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal

20, By the definition of Alternate Exterior Angles, they are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal

21, Vertical angles are angles opposite of each other made by two intersecting lines

22, 1, and 2 are supplementary angles so 180-35=145=1. 1 and 8 are Alternate Exterior Angles so 1=8, substitute, 145=8

Hope this helps, if it did, please consider giving me brainliest, it will help me a lot. If you have any questions, feel free to ask.

Have a good day! :)

SSS = side side side, basically it says that if we have three pairs of congruent corresponding sides, then we have enough information to prove the triangles congruent. The first two pairs of sides are visually shown by the tickmarks. The third pair of sides is LK = XZ as found by the pythagorean theorem. The pythagorean theorem only works for right triangles.

Answer:

y = -1.71x + 6.42

Step-by-step explanation:

The gradient at any point on the curve is given by the expression;

[tex]\frac{dy}{dx} = \frac{1}{\sqrt{x } - 2} \\[/tex]

At the point (2,3), the gradient of the curve will be:

[tex]\frac{dy}{dx}|(x = 2) = \frac{1}{\sqrt{ 2}-2 } \\\\\frac{dy}{dx}|(x = 2) = m = - 1.71[/tex]

The equation of this curve at this point can be given by:

[tex]y - y_1 = m(x-x_1)[/tex]

Where [tex]x_1 =2, y_1 = 3[/tex]

Substituting these values into the given equation:

[tex]y - 3 = -1.71(x-2)\\y - 3 = -1.71x + 3.42\\y = -1.71x + 3.42 + 3\\y = -1.71x + 6.42[/tex]

Answer:

The third option is your answer

Step-by-step explanation:

Because the fee is equal 6% or 0.06 of the balance  in order to find the fee you would have to times 0.06 and the balance .Therfore your equation is [tex]f=0.06b[/tex]

hope this helps, if it does please mark brainliest!!

Answer:

y = -x + 17

Step-by-step explanation:

A(-10,-3)

B(7,14)

C(5,12)

Need line CD perpendicular to AB through C.

Solution:

slope of AB, m1 = (yb-ya) / (xb-xa) = (14- -3) / (7- -10) = 17/17 = 1

Slope of CD, m2 = -1/m1 = -1 / 1 = -1

Line CD through C, using the point slope form

y-yc = m2(x-xc)

y-12 = -1 (x-5)

rearrange

y = -x + 5 + 12

y = -x + 17

Answer:

x intercept of CD is (17, 0)

Point (-2, 19) lies on CD

Step-by-step explanation:

Answer:

Die: 16. 2/3%

Coin: 50%

Step-by-step explanation:

Well rolling a 4 on a 6 sided die is 1/6.

To make that a percent we first make it a decimal.

1 ÷ 6 = .16666 repeating

To make this a percent we move the decimal place 2 times to the right.

16.2/3%

The chance of flipping a heads on a fair sided coin is 50% because there are two sides with a 50/50 chance of being either.

Thus,

for rolling a 4 on a 6 sided die there is a 16.2/3% chance and a 50% for flipping a heads on a 2 sided coin.

Hope this helps :)

Answer:

c. (pi*r^2)/4

Step-by-step explanation:

pi r^2 is the area of a full circle.

Divide that by two gives the area of a half circle.

Divide that by four gives the area of a quarter circle.  So

c. area of quarter circle = (pi*r^2)/4

The formula for the area of the quarter circle in the upper left corner of the figure is πr² / 4

Area is the space occupied by a flat shape or the surface of an object. Therefore,

area of a circle = πr²

where

The quarter circle is a circle divided into 4 place.

Therefore, the area of a circle needed to be divided by 4 to get the area of a quarter circle.

area of a quarter circle = πr² / 4

learn more on area here: https://brainly.com/question/11952845

[tex]y=|\dfrac{1}{2}x-2|+3[/tex]

Since we are translating this graph one unit to the right, replace x with (x-1)

Note: If you are translating a graph to the left by k units, replace x with (x+k), and if by the right, replace x with (x-k)

[tex]y=|\dfrac{1}{2}(x-1)-2|+3[/tex]

After simplifying, we now have the following equation:

[tex]=|\dfrac{1}{2}x-\dfrac{5}{2}|+3[/tex]

This is the new equation. Let me know if you need any clarifications, thanks!

Answer:

we are given

y=|2x|-1

we are given to translate this equation

Whenever we translate any function to right side by 'c' units

we can replace x as x-c

Here , we have to translate one unit right

so, we can replace x as x-1

and we get

y=| 2( x-1 ) | 1

Hope this helps <3

Answer:

(-4,-3)

Step-by-step explanation:

The first coordinate of the ordered pair is the x value or go across

to the right is positive  and the left is negative   so x = -4

The second coordinate of the ordered pair is the y value or go up and down

up is positive and down is negative  so y = -3

(-4,-3)

Answer:

(-4, -3)

Step-by-step explanation:

You can move 4 left from the x axis to get -4, and then move 3 down from the y axis to get -3, leading to the coordinates (-4, -3).