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What is the vertex of the graph of y + 2x + 3 = –(x + 2)^2 + 1?

viva [34]

B (-3, 3)... Hope this helps!!

6 0

3 years ago

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Which linear inequality is represented by the graph?

laiz [17]

<h2>Answer</h2>

$y\leq \frac{1}{2} x+3$

<h2>Explanation </h2>

First we are going to find the equation of the solid line passing trough the points (0, 3) and (2, 4).

Using the slope formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{4-3}{2-0}$

$m=\frac{1}{2}$

Now we can use the point slope formula to complete the line equation:

$y-y_{1}=m(x-x_{1})$

$y-3=\frac{1}{2} (x-0)$

$y-3=\frac{1}{2}x$

$y=\frac{1}{2}x+3$

Since the shaded region is bellow the line $y=\frac{1}{2}x+3$ , the inequality represented in the graph is $y\leq \frac{1}{2} x+3$ .

5 0

3 years ago

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NO LINKS OR ASSESSMENT!! Write a rule to describe each transformation #9 & #11

ValentinkaMS [17]

Answer:

Step-by-step explanation:

Remark

I really don't know what to write to these questions. I can never tell what the problem is. Perhaps it is right at the very beginning. You have to recognize what is taking place. In problem 9, the easiest point to follow is H going to H'. Do you see what is happening? H is sitting on the x axis and then something happens to it and behold, it is now sitting on the y axis. So it has rotated 90 degrees but which way?

Take your finger or a pencil and put it on H. Then make a circular motion to get to H'. You are going clockwise. (keep going in that direction till you wind up where you started. You are going in the direction of one of those old fashioned clocks. Now the trick in a rotation is if you can figure out what one point is doing, you know what all points are doing on the given figure.

So the translation is 90 degrees clockwise. That means the following rule must be operating

(x,y) ===> (y, - x)

H(-3,0) ===> H'(0, - - 3) = H'(0,3)

I(-2,1) =====>I'(1, - - 2) = H'(1,2)

J(0,1) =====>J'(1,0)

G(-3,-3)====>G'(-3, --3) = G'(-3,3)

11

At first you may think that this is a translation of some kind. I thought so at first. D and D' certainly look that way and C and C' also look that way. But B and E are not well behaved. You are looking at a 180 degree rotation

The rule you need here is (x,y) becomes (-x , - y)

I'll leave C and D to you and do one of the B and E

E(3,5)=E'(-3 , - 5)

8 0

3 years ago

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A car is traveling at a speed of miles per hour. What is the car's speed in kilometers per hour? How many kilometers will the ca

mihalych1998 [28]

Complete Question:

As you may have intentionally forgotten to mention the important data elements in your question like at what rate a car is travelling and number of hours car will travel in required number of miles etc. After a little research it seems I have found the complete question you were supposed to write. Hence, I am answering based on this complete question, but anyways, it would certainly improve your concept. Here is the complete question:

A car is traveling at a rate of 60 kilometers per hour. What is the car's rate in miles per hour? How many miles will the car travel in 4 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.

Answer:

The car will travel 37.5 miles in one hour.

The car travel 150 miles in 4 hours.

Fetching data from Question:

The rate at which car is traveling: 60 kilometers per hour

one mile = 1.6 km

a) How many miles a car will travel in one hour?

b) How many miles will the car travel in 4 hours?

Calculation:

a) How many miles a car will travel in one hour?

As one mile is equal to 1.6 km.

The rate at which car is traveling: 60 kilometers per hour

So, just divide 60 with 1.6 to get in miles

i.e. 60/1.6 = 37.5 miles per hour

So, the car will travel 37.5 miles in one hour.

b) How many miles will the car travel in 4 hours?

As the car will travel 4 hours.

And car travels 37.5 miles in one hour

So, just multiply the number of hours i.e. 4 with the miles in one hour (speed) i.e. 37.5 to calculate the distance in 4 hours. So,

The distance = speed × time

= 37.5 × 4

= 150 miles

So, the car travel 150 miles in 4 hours.

Keywords: distance, speed, kilometers, miles

learn more about distance travel and speed from brainly.com/question/12580265

#learnwithBrainly

4 0

3 years ago

Falmouth High School’s soccer field measures 120 yards long by 75 yards wide.

dalvyx [7]

The correct answer is C. Hope this helps.

4 0

3 years ago

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