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3 years ago

Help !!! Brainlisest

Mathematics

1 answer:

AURORKA [14]3 years ago

7 0

Answer:

(x, y ) → (x + 11, y - 11 )

Step-by-step explanation:

Consider the point U and its image U'

U (- 9, 1 ) → U' (2, - 10 )

This represents a shift of 2 - (- 9) = 2 + 9 = + 11 → in the x- direction and

- 10 - 1 = - 11 ↓ in the y- direction

This can be shown in the translation rule

(x, y ) → (x + 11, y - 11 )

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URGENT 50 PTS AND BRAINLIEST FOR A CORRECT ANSWER THAT EXPLAINS WELL

snow_tiger [21]

Answer:

A. $(x+5)^2+(y-4)^2=16$

B. $(x-1)^2+(y-4)^2=2\\$

C. $\left(x-3\right)^2+\left(y-5\right)^2=9$

Step-by-Step Explanation:

A. Tangent to x-axis, r=4, contains (-5,8)

The equation of a circle is this: $(x-h)^2+(y-k)^2=r^2\\$

Therefore, we know that our equation will be: $(x-h)^2+(y-k)^2=4^2=16$

Because the circle is tangent to the x-axis, the point (-5,8) will be the top of the circle.

Therefore, the center is (-5,4), where -5=h and 4=k.

The answer is $(x+5)^2+(y-4)^2=16$

B. Diameter endpoints (2,5) and (0,3)

To solve for the diameter, we can use this equation: $d=\sqrt{(x_{1}-x_{2})^2+(y_{1}-y_{2})^2 }$

$d=\sqrt{(2-0)^2+(5-3)^2 }\\\\d=\sqrt{2^2+2^2}=\sqrt{4+4} =\sqrt{8}= 2\sqrt{2}$

Because the radius is half of the diameter, $r=\sqrt{2}$

Therefore, we know that our equation will be: $(x-h)^2+(y-k)^2=(\sqrt{2}) ^2=2$

Then, we can decipher that h=1, as the midpoint of 0 and 2 is 1, and k=4, as the midpoint of 3 and 5 is 4.

The answer is $(x-1)^2+(y-4)^2=2$

C. Center on x=3, tangent to y-axis at (0,5)

We can see that the center is (3,5). Therefore, the equation is $(x-3)^2+(y-5)^2=r^2\\$

To solve for r, we can substitute the point (0,5) into the equation.

$(0-3)^2+(5-5)^2=r^2\\(-3)^2+(0)^2=r^2\\r^2=9$

The answer is $(x-3)^2+(y-5)^2=9$

Hope this helped!

5 0

4 years ago

I need to learn how to solve this problem

Sonbull [250]

Answer:

x = 7/2, so every side equals 15.

Step-by-step explanation:

The first thing you want to notice about this problem is that keyword "equilateral." That means every one of the sides are equal, and that means you can play around with the algebra to get your answer.

In an equilateral triangle, if you have two sides 4x + 1 and 6x - 6, these sides must be equal. To solve for x, simply set these two equations equal to each other. Note that you can pick any pairing of the three sides and get the same answer; I only chose these because they look easier.

4x + 1 = 6x - 6 ... subtract 4x from both sides

1 = 2x - 6 ... add 6 to both sides

7 = 2x ... solve for x

x = 7/2

You get the same answer if you try 8x - 13 = 4x + 1, and if you do 8x - 13 = 6x - 6. Now that you have the value of x, take that and plug it into ANY of the sides to get the length. (It would be good to plug 7/2 into all of them to check your work!)

4(7/2) + 1 = 15

So the lengths are all 15 feet each.

3 0

3 years ago

Tell whether the table represents an exponential function. Either way, write the rule for the function .

tamaranim1 [39]

Its not exponential
Note that each new Y values is obtained by adding 4 to previous Y value

7 0

3 years ago

Read 2 more answers

Write down the coordinates of the image of the point (2-3) under reflecting about the line joining the points (3, 5) and (3,7)

Murrr4er [49]

Answer:

(4 , -3)

Step-by-step explanation:

the points (3 , 5) and (3 , 7) have the same x-coordinates 3

then ,the line D joining them has the equation

D : x = 3

the image of the point A(2 , -3) under reflecting about The line D ,

lie on the line ∆ perpendicular to D and passes through A.

∆ perpendicular to D then the equation of ∆ is :

∆ : y = a ,where a is a real number.

Calculating ‘a’ :

∆ passes through A

Then

-3 = a

Therefore

the final equation of ∆ is :

∆ : y = -3

Obviously, the lines D and ∆ intersect at the point M(3 , -3)

FINAL STEP :

Calculating the coordinates of the point B(x , y) image of the point A(2 , -3)

M is the midpoint of the line segment AB :

Then

3 = (2 + x)/2 and -3 = (-3 + y)/2

Then

x = 4 and y = -3.

4 0

2 years ago

How many square feet of out door carpet will we need for this hole

Vadim26 [7]

Hey! Let me help you on this one.

As you can see, this is a very complex shape, and this might confuse you at first. Don't fear, there is a very easy and fun way to solve it.

Take a closer look at the problem. Do you notice anything? It consists of few different shapes that might be much easier for you to find area of.

For example, as you can see on the image I have sent you, these are the shapes present in the figure.

On this image, only two types of figures are present - triangle and a rectangle. Both shapes have a very easy area formula.

Triangle - $S= \frac{a*b}{2}$

Rectangle - $S=a*b$

Using these formulas, let's find the area of this complex figure by solving for each individual shape, and then, adding everything together.

Triangle at the bottom has a side of 4 feet, and an unknown second side. We can find it by getting the difference of 12 feet and 8 feet.

Why you might ask? Well, if you look at it closer, the difference is exactly the length of the side we need.

$12-8=4$

Neat! It's four as well. Let's start solving for its area.

$S= \frac{4*4}{2}$
$S=8$

Area of the first triangle is 8 feet squared. Let's get into the second triangle. It's right above this one!

Length of its right side is 3 feet, and the length of the bottom side is the same as the one we found few steps back - four feet.

$S= \frac{4*3}{2}$
$S= 6$

Awesome! Area of the second triangle is 6 feet squared. Let's take a closer look at the last figure - rectangle.

$S=8*3$
$S=24$

Area of the rectangle is 24 feet squared. Done, we have all the areas of individual shapes. Let's add them together.

$24+6+8=38$

Answer: The area of this figure is 38 feet squared

5 0

4 years ago