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Translation along (-3 , 1) is J' = (-1 , -4) , K' = (-4 , -2) and L' = (-7 , 2).

Rotation of 360° about the origin is J' = (2 , -5) , K' = (-1 , -3) and L' = (-4 , 5).

Rotation of 270° counterclockwise about the origin is J' = (-5 , -2) , K' = (-3 , 1) and L' =  (5 , 4).

Given, the points

J(2 , -5) , K(-1 , -3) and L(-4 , 5)

(a) Now, Translation along the vector (-3 , 1) is

J' = (2 - 3 , -5 + 1) = (-1 , -4)

K' = (-1 - 3 , -3 + 1) = (-4 , -2)

L' = (-4 - 3 , 1 + 1) = (-7 , 2)

(b) Now, Rotation of 360° about the origin is

J' = (2 , -5)

K' = (-1 , -3)

L' = (-4 , 5)

(c) Now, Rotation of 270° counterclockwise about the origin is

J' = (-5 , -2)

K' = (-3 , 1)

L' =  (5 , 4)

Hence, translation along (-3 , 1) is J' = (-1 , -4) , K' = (-4 , -2) and L' = (-7 , 2).

Rotation of 360° about the origin is J' = (2 , -5) , K' = (-1 , -3) and L' = (-4 , 5).

Rotation of 270° counterclockwise about the origin is J' = (-5 , -2) , K' = (-3 , 1) and L' =  (5 , 4).

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We know that with a 700 credit score we pay $23 per $1000 financed, then the monthly payment will be:

Therefore for a 700 credit score tour monthly payment is $657.50

Answer : $28.00

Step-by-step explanation: because it says on the chart the 590-619 it would be $28.00.

The polygon given is a rectangle, we can find the perimeter quite quickly.

The perimeter of a rectangle is;

Here, L=7in and B = 4in , so;

Therefore, t

Dan is correct, because if you spend a mean of 3 hours each day doing leisure and sports activities, you have to add people that spend 4 and 5 Hours and verify that addition will be more than 51% of 500 people (250) and it its the case, adding 340 for both samples.

Answer:

$70 per year

Step-by-step explanation:

Answer: can you please give me answer choices

Step-by-step explanation:

To find g(-2)

We will have to replace y in the function with -2

g(-2) = - 1x 4 + 9 x -2 + 10

g(-2) = -4 -18 + 10

g(-2) = -22 + 10

g(-2) = -12

Answer:

Step-by-step explanation:

g(y) = -y^2 + 9y +10

g(-2) = (-2)^2 + 9(-2) +10

g(-2) = 4 - 18 + 10

g(-2) = -4

Answer:

One adult ticket is $16, and one child ticket is $4

Step-by-step explanation:

Let A be the price for an adult ticket

Let C be the price for a child ticket

First write out the equations based on the given information

A = 4C

A + C = 20

Since we know that A is the same as 4C, you can sub in 4C into A + C = 20

4C + C = 20

5C = 20

C = 4

You can now sub in C = 4 into A + C = 20

A + 4 = 20

A = 16

Therefore, an adult ticket costs $16, and one child ticket is $4

we have the expression

Group terms

factor (c+1)

Simplify

Answer:

4*4*4=4^3

Step-by-step explanation:

4 is multiplied by itself 3 times so it's to the third power which equals [tex]4^{3}[/tex]

Answer:

no solution

Step-by-step explanation:

Divide both sides of the second equation by 2.

2x - 4y - z = 8

The first equation is

2x - 4y - z = 10

Subtract the simplified second equation from the first equation.

      2x - 4y - z = 10

-      2x - 4y - z = 8

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

                     0 = 2

Since 0 = 2 is false, there is no solution.

Answer:no solution

Step-by-step explanation:

The answer is 4 .

Answer:

A.

Explanation:

Using a graphing tool, we the that the graph of y = -x³ - 5x² - 3x + 9 is

Then, the zeros are the points where the graph crosses the x-axis. Therefore, we can say that one of the zeros resembles a linear function and one resembles a quadratic function because the graph looks like a line at (1, 0) and it looks like a parabola at (-3, 0).

So, the answer is

A.

40 times larger was the population of white-tailed deer in 2000 than it was in 1905 and it solved by using exponent formula.

What is the exponent?

The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 2³) means 2 x 2 x 2 = 8. 2³ and 2 x 3 = 6 are not equivalent.

Given that the population of white-tailed deer in 1905 was 5 × 10^5. The population of of white-tailed deer in 2000 was 2 × 10^7.

To find how many times larger was the population of white-tailed deer in 2000 than it was in 1905, divide 2 × 10^7 by 5 × 10^5

The value of the expression (2 × 10^7)/(5 × 10^5)

Applying the power rule a^m/a^n = a^(m-n)

=(2 × 10^(7-5))/5

=(2 × 100)/5

= 40

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By the property of congruency of triangles, the following conclusions are taken from the figure

Second, third and fifth options are correct

First and fourth option are wrong.

What is congruency of triangles?

Two triangles are said to be congruent if their corrosponding sides and corrosponding angles are same.

There are five axioms of congruency

They are SSS axiom, ASA axiom, AAS axiom, SAS axiom, RHS axiom

Here,

From the second option,

AB = DE [Given]

[tex]\angle ABC = \angle CED[/tex] [ Given]

BC = CE [Given]

So, [tex]\Delta ABC \cong \Delta CED[/tex] [SAS axiom]

Second option is correct

For the third and fifth option

[tex]\angle ABC = \angle CED[/tex] [ Given]

BC = CE [Given]

[tex]\angle BCA = \angle DCE[/tex] [ Vertically opposite angle]

So, [tex]\Delta ABC \cong \Delta CED[/tex] [ASA axiom]

Third and fifth option are correct

Second, third and fifth options are correct

For first and fourth option,

There is no axiom like side- side and Angle - side-side in congruency

First and fourth option are wrong.

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The inequality models the number of questions a student needs to complete correctly in order to earn an A on an assignment is x + y > 100

A teacher gives 5 points for correctly completing an "easy" homework question and 10 points for correctly completing a "challenge" question.

To get an A on a homework assignment, a student must get at least 100 points.

Let x to represent the number of easy questions and y the number of challenge questions,

x + y > 100

Therefore, the inequality models the number of questions a student needs to complete correctly in order to earn an A on an assignment is x + y > 100

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Given the number :

The scientific notation is a method to the write the numbers as two parts

The first part is the number as between 1 and 9

the second part as 10 to powers

so,

Answer:

around $9.0

Step-by-step explanation:

10% of 44 is 4.4 so if you multiply 4.4 by 2 that would be the same a 20% and 4.4 times 2 is $8.80 then I just rounded up to $9

The slope (m) that passes through the given points (4, 3) and (6, 7) is (B) 2.

So, the slope will be:

Now, calculate as follows:

Therefore, the slope (m) that passes through the given points (4, 3) and (6, 7) is (B) 2.

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Answer:

7/20

Step-by-step explanation:

7 students received an A out of the total 20.

Answer:

Function 2!

Step-by-step explanation:

the slope is longer

In order to find how many boxed they need, first they need to know the area they will have to cover:

In order to find it, we have find the total area of the rectangle and take off the area of the House and the area of the shed:

We know that all those areas are rectangles, their area are found multiplying their sides lenght:

House area = 5m x 16m = 80m²

Shed area = 3m x 3m = 9m²

Since the lateral side of the total area is

5m + 16m + 5m = 26m, then

Total area = 26m x 50m = 1300m²

Then, the area they need to cover is

total area - house area - shed area = 1300m² - 9m² - 80m²

= 1211m²

Since the seed they select covers 375 m² per box, in order to find how many boxes they need, we just need to divide the area they are going to cover with this number:

1211m² ÷ 375 m² = 3.229

We round it to 4 boxes as indicated.

Answer: they need to buy 4 boxes of seeds

The slope intercept of line with point (0,-5) and slope=-1/2 will be x+2y=-10 as the definition of slope intercept form is "The meaning of SLOPE-INTERCEPT FORM is the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept."

Simply put, the slope-intercept form is the way to write a line's equation so that the y-intercept (where the line crosses the vertical y-axis) and slope (steepness) are immediately visible. This form is frequently known as the y = mx + b form. Y = mx + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form. We can see that the y-intercept of the line in our equation, y = 7 x + 4, is 4.

Here,

Slope intercept form of line,

y=mx+  b

(x, y)=(0,-5)

m=-1/2

-5=-1/2*0+b

b=-5

y=mx+b

y=-1/2x+5

2y+x=-10

Since the definition of slope intercept form is "The meaning of SLOPE-INTERCEPT FORM is the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept," the slope intercept of a line with point (0,-5) and slope=-1/2 will be x+2y=-10.

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Answer: 9.7 seconds

Step-by-step explanation:

[tex]16t^2 =1503\\\\t^2 =1503/16\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]

Explanation:

A relation is a function if and only if for each value of x there's only one value of y. In other words, if we find one value of x more than once, the relation is not a function.

Relation A is not a function because x = 2 shows up twice: (2, 5) and (2, 7)

Relation C is not a function because x = 1 shows up three times: (1, 3), (1, 5) and (1, 7)

Relation E is not a function because x = 2 shows up twice: (2, 5) and (2, 1)

Relations B and D have only one time each value of x

Answers:

The option that describes the Coriolis effect is D. the direction of air currents in the Northern and Southern Hemispheres.

The effect of the Earth's rotation on weather patterns and ocean currents is known as the Coriolis effect. Storms swirl clockwise in the Southern Hemisphere and counterclockwise in the Northern Hemisphere due to the Coriolis effect. Circulating air is deflected to the right in the Northern Hemisphere and to the left in the Southern Hemisphere as the Earth rotates on its axis. The Coriolis effect refers to this deflection.

The rotation of the Earth causes the Coriolis effect. Moving objects in the Northern Hemisphere tend to curve to the right of their intended paths; moving objects in the Southern Hemisphere tend to curve to the left of their intended paths. The Coriolis effect causes moving objects to accelerate or decelerate.

Therefore, based on the information given, it should be noted that the correct option is D.

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Step 1: Write out the function

Step 2: Evaluate the functions at x=1,3,4 and 6

Step 3: Compute f(6)/f(4)

Step 4: Compute f(3)/f(1)

Step 5: Compare f(6)/f(4) and f(3)/f(1)

Therefore,

Answer:

-33

Step-by-step explanation:

We know that x = -3

So,

-3² + 2 x -3

9 + 2 x -3

11 x -3

-33

The given expression :

Answer:

The point should be plotted at (5, -1).

Step-by-step explanation: