Which single transformation below would have the same effect as rotating the point (-3,4) by 180 degrees around the origin and then reflecting it in the y-axis?

We have the following:

We must calculate the solution since that is the point of intersection.

we equalize the equations and we have:

for y:

The point is (1, -1)

Therefore, the answer is the graph A.

Given the function f(x) defined as:

We need to find the derivative first. Using the chain rule, we know that:

Then, taking the derivative if u = 2x:

Using this result, we can evaluate the derivative at x = π/2:

The given equations are

y = x^2 + 2x + 7

y = x + 7

We would substitute y = x + 7 into the first equation. It becomes

x + 7 = x^2 + 2x + 7

Collecting like terms, it becomes

x^2 + 2x - x + 7 - 7 = 0

x^2 + x = 0

By factorising x, it becomes

x(x + 1) = 0

Thus,

x = 0 or x + 1 = 0

x = 0 or x = - 1

Substituting x = 0 into y = x + 7, it becomes

y = 0 + 7

y = 7

Thus, one solution set is (0, 7)

Substituting x = - 1 into y = x + 7, it becomes

y = - 1 + 7

y = 6

Thus, another solution set is (- 1, 6)

Therefore, the solution sets are

{(0, 7), (- 1, 6)}

Option A is correct

we get that the answer is

a. reflection over the y-axis and 4 units down

Note:

If f(x) is reflected over the x-axis, it becomes -f(x) because the y coordinate is negated.

If f(x) is reflected over the y-axis, it becomes f(-x) because the x coordinate is negated.

Therefore, for f(-x)-4, f(x) is reflected over the y-axis, and then translated 4 units down

the given expression is,

so the correct answer is option B

the quotient is 321

Answer:

Nine rows X 8 in the row= 72

Step-by-step explanation:

Answer: For this question you would just multiply 8 and 9 and get 72.

Step-by-step explanation:

Because there are 9 rows of tomato plants and each row has 8 tomatos, you would be doing 9x8 and get your answer of 72. Hope this makes sense!

Given that a triangle has sides of the following dimensions

The diagram of the triangle can be seen below

To find the perimeter, P, of a triangle, the formula is

Where

Substitute the values to find the perimeter, P, of the triangle

Hence, the perimeter, P, of the triangle is

Given

To find the zeros of multiplicity one, multiplicity 2, multiplicity 3.

Now,

The zeros of multiplicity 1 are,

The zeros of multiplicity 2 are,

There are no zeros of multiplicity three since the polynomial has no factor to the power 3.

Solution

We are given that

Length (l) = 4ft

Width (w) = 2ft

Height (h) = 3ft

Note: Formula for Surface Area of the Locker

Substituting the parameters

Therefore, the surface area is

The tangential speed of a disk is  94.23.

Given:

radius (r) = 15meters

time t = 7 sec

tangential speed = 2[tex]\pi[/tex]r/t

                           = 2x 3.141x 15/7

                           = 94.23

Tangential speed is the linear component of its velocity as it moves in a circle. If an object moves along a circular path at a distance r from the centre of the circle, the velocity of the object is tangent to the circle at some point.

In mathematics, a tangent is a line that touches a curve at one point. A quantity is tangent to another if it touches the other quantity once and then moves in the other direction.

Therefore, the tangential speed is a measure of the speed at any point where the tangent curves in this circular motion. Tangential velocity is useful for circular motion because it allows angular motion to be transformed into linear motion.

To learn more about tangential speed, refer;

https://brainly.com/question/17446849

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Solution:

The arc length of a circle is given by the following equation:

where theta is the central angle and r is the radius of the circle. Then, replacing the given data into the previous equation, we get:

solving for R, we get:

then, the correct answer is:

We are given the following equation:

Where are asked to find the value of "u". To do that we need first to solve for "u", first by adding 4 on both sides:

Now, we will divide by 2 on both sides:

Therefore, the value of "u" is 5

Info given

Bob and dale served a total of 83 orders Monday at the school cafeteria. rita served 9 fewer orders than bob. Dale served 2 times as many orders as bob. how many orders did they each serve​

Solution

We can find the number of orders for Rita like this:

And for Dale we have this:

Answer

The answer is 17.

Explanation

The absolute value of any number is taking the positive part of any number. For example, the absolute value of -2 = | -2 | = 2, the absolute value of -99 = | -99 | = 99.

So, the absolute value of -17 = | -17 | = 17.

Hope this Helps!!!

Given : b(x) = | x + 4 |

So, to find b(-10) , substitute with x = -10 at the function b(x)

So, b(-10) = | -10 + 4 | = | -6 | = 6

How much did she spend?

She had 80 dollars, and after buying them she had 16 dollars. Then she spent

80 - 16 = 64

she spent $64 on 8 books.

How much did each book cost?

Since 8 books cost $64, each one should cost:

64 ÷ 8 = 8

each one cost $8.

The vertex Y is triangle WXY is (7, -8)

The triangle will translate by the rule (x + 3, y - 4)

That means it will be moved right 3 units and down 4 units

So we will add the x-coordinate of point Y by 3 and subtract its y-coordinate by 4 to get its image Y'

The image of point Y is

Y' = (7 + 3, -8 - 4)

Y' = (10, -12)

The correct answer is C

SOLUTION:

Case: Triangles

Method:

First, It is an Isosceles triangle

When the base angles are equal, the opposite sides are equal too

Next, find y using Pythgoras theorem

Final answer:

From the image above,

measured angle 2 is 80degrees because the corresponding angles are equal.

Also meansured angle 1 + measured angle 2 is 180 degrees;

because the sum of angles on a straight line is 180 degrees

Since a whole revolution has 360º, when we have an angle bigger than 360º the angles start to repeat.

We can subtract 360º to the given angle to find the coterminal angle. In this case:

And from an reference angle of 0º, this is exactly a half revolution. Thus, the angle is in the x axis, and it's coterminal angle is 180º

y=12

Explanation

The subtraction property of equality tells us that if we subtract from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same,

in order to know the y value, we have to isolate y, then

Step 1

subtract 6 in both sides

Step 2

add like terms

therefore, the answer is

I hope this helps you

1) Let's plot those values on a number line. Since -5 1/2 and 8 1/2 can be written as -5.5 and 8.5

2) There we have:

Answer::

Explanation:

• The first year rent = $62,000

• The rate of increase, r = 3% = 0.03

Since the rent increases by a common factor each year, we can find the explicit rule by using the formula for the nth term of a geometric sequence.

The nth term of a geometric sequence is calculated using the formula:

In this case:

• a1 = 62,000

• r=1+0.03=1.03

Thus, an explicit rule that describes the rent after n years is:

First, let's find the slope of the line that passes through the points (-4,3) and (6,2):

Now we can use the first point to get the equation of the line:

therefore, the equation of the line is y=-1/10x+13/5

In order to calculate the percentage of surveyed people that liked red cars, we need to divide this amount of people by the total amount of people surveyed.

So we have:

Therefore the percent of the people surveyed that liked red cars is 4%.

Answer:

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

Answer:

[tex](x,y)=\left(\; \boxed{-2,13} \; \right)\quad \textsf{(smaller $x$-value)}[/tex]

[tex](x,y)=\left(\; \boxed{1,10} \; \right)\quad \textsf{(larger $x$-value)}[/tex]

Step-by-step explanation:

Given system of equations:

[tex]\begin{cases}\phantom{bbbb}y=x^2+9\\x+y=11\end{cases}[/tex]

To solve by the method of substitution, rearrange the second equation to make y the subject:

[tex]\implies y=11-x[/tex]

Substitute the found expression for y into the first equation and rearrange so that the equation equals zero:

[tex]\begin{aligned}y=11-x \implies 11-x&=x^2+9\\x^2+9&=11-x\\x^2+9+x&=11\\x^2+x-2&=0\end{aligned}[/tex]

Factor the quadratic:

[tex]\begin{aligned}x^2+x-2&=0\\x^2+2x-x-2&=0\\x(x+2)-1(x+2)&=0\\(x-1)(x+2)&=0\end{aligned}[/tex]

Apply the zero-product property and solve for x:

[tex]\implies x-1=0 \implies x=1[/tex]

[tex]\implies x+2=0 \implies x=-2[/tex]

Substitute the found values of x into the second equation and solve for y:

[tex]\begin{aligned}x=1 \implies 1+y&=11\\y&=11-1\\y&=10\end{aligned}[/tex]

[tex]\begin{aligned}x=-2 \implies -2+y&=11\\y&=11+2\\y&=13\end{aligned}[/tex]

Therefore, the solutions are:

[tex](x,y)=\left(\; \boxed{-2,13} \; \right)\quad \textsf{(smaller $x$-value)}[/tex]

[tex](x,y)=\left(\; \boxed{1,10} \; \right)\quad \textsf{(larger $x$-value)}[/tex]

The general sine function is given as

Where

A=Amplitude; B= Period Factor; Horizontal shift; D= Vertical shift or displacement

From the sine curve, the following can be found

Step 1:

Let the height below sea level before she descends = h feet

The length she descended after 10 minutes = 21.4 feet

The height of the submarine after descended below the sea level = 90.6 feet

Step 2:

Height of the submarine before descended below the sea level

x = 90.6 - 21.4

x = 69.2 feet

Final answer

69.2 feet

Part 1

we have

2(3m+7)

For m=1 ------> 2(3(1)+7)=2(10)=20

For m=2-----> 2(3(2)+7)=2(13)=26

we have

6m+14

For m=1 -----> 6(1)+14=20

For m=2----> 6(2)+14=26

Remember that

2(3m+7) is the same that 6m+14