f(x)=-(x+2)^2+3 put in standard form

Answer:

B. perpendicular

Step-by-step explanation:

the lines AC and CH touch creating a 90 degree angle, so they are perpendicular lines

Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as some coordinates to transform are not given.

I will, however, give a general explanation.

Rotate circle 270 degrees counterclockwise

This implies that, we rotate the center of the circle and the rule of this rotation is:

[tex](x,y) \to (y,-x)[/tex]

Assume the center is: (5,3), the new center will be: (3,-5)

Reflect square across y-axis

The rule is:

[tex](x,y) \to (-x,y)[/tex]

If the square has (3,5) as one of its vertices before rotation, the new point will be (-3,5).

Reflect triangle across y-axis, then 3 units up and 2 units left

The rule of reflection is:

[tex](x,y) \to (-x,y)[/tex]

If the triangle has (3,5) as one of its vertices before rotation, the new point will be (-3,5).

The rule of translating a point up is:

[tex](x,y) \to (x,y+h)[/tex] where h is the unit of translation

In this case, h = 3; So, we have:

[tex](-3,5) \to (-3,5+3)[/tex]

[tex](-3,5) \to (-3,8)[/tex]

The rule of translating a point left is:

[tex](x,y) \to (x-b,y)[/tex] where b is the unit of translation

In this case, b = 2; So, we have:

[tex](-3,8) \to (-3+2,8)[/tex]

[tex](-3,8) \to (-1,8)[/tex]

The L shape

[tex]A = (3, 8)[/tex]       [tex]A" = (-3, 1)[/tex]

[tex]B = (6, 8)[/tex]       [tex]B"= (-6, 1)[/tex]

[tex]C = (6, 3)[/tex]       [tex]C" = (-6, -4)[/tex]

[tex]D = (5, 3)[/tex]       [tex]D" = (-5, -4)[/tex]

Required

The transformation from ABCD to A"B"C"D"

First, ABCD is reflected across the y-axis.

The rule is:

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex]A' = (-3,8)[/tex]

[tex]B' = (-6,8)[/tex]

[tex]C' = (-6,3)[/tex]

[tex]D' = (-5,3)[/tex]

Next A'B'C'D' is translated 7 units down

The rule is:

[tex](x,y) \to (x,y-7)[/tex]

So, we have:

[tex]A"= (-3,8-7) = (-3,1)[/tex]

[tex]B"= (-6,8-7) = (-6,1)[/tex]

[tex]C"= (-6,3-7) = (-6,-4)[/tex]

[tex]D"= (-5,3-7) = (-5,-4)[/tex]

Step-by-step explanation:

Cost Price =Rs.200

Shopkeeper Mark the price 40% above the cost price then

M.P=200+40%of200

⇒200+

100

40

×200

⇒200+80=Rs.280

Discount=20%

Then Price after discount=280−20%of280

⇒280−

100

20

×280

⇒280−56=Rs.224

Sales tax rate=10%

Then sales price=224+10%of224

⇒224+

100

10

×224

⇒224+22.4=246.4∼Rs.246

Answer:

Yes it would be Rs.246

Step-by-step explanation:

Answer:

It's A

Step-by-step explanation:

DO FOIL

-10d^4+(5+12)d^2s-6s^2=-10d^4+17d^2s-6s^2

Answer:

the first answer: -10a^4 + 17a^2s-6s^2

Step-by-step explanation:

Answer:

(2,-2) --> (-1, 3)

(8,-2) --> (5, 3)

(8,-5) --> (5, 0)

(2,-5) --> (-1, 0)

Answer:

6%.

Step-by-step explanation:

For arguments sake lets assume each fruit cost $1.

He spent $50 for the fruit.

His income from the 30 kg he sold was $35.

His income from  the remaining 20Kg  was $18.

Total income = $35 + $18 = $53

So his profit was  53 - 50 = $3.

= (3/50) * 100

= 6%

Answer:

3(x+8y)

Step-by-step explanation:

3*x +3*8y

Factor out 3

3(x+8y)

Answer:

I'm pretty sure you are intended to pick AAS.

Step-by-step explanation:

As it stands, AAS. But this can be an unreliable theorem. If you show that the third angles are equal (which they are) using the fact that if two angles of a triangle are equal to the corresponding angles of another triangle, then the third angle is as well. That means that you can use the much more reliable ASA.

3/z when z = 2

= 3/2

= 1.5

This is the answer

Answer:

[tex]3/z\: when\:z=2[/tex]

[tex]\frac{3}{z}=2[/tex]

[tex]\frac{3}{z}z=2z[/tex]

[tex]2z=3[/tex]

[tex]\frac{2z}{2}=\frac{3}{2}=z=\frac{3}{2}[/tex]

[tex]z=1.5\right[/tex]

OAmalOHopeO

Answer:

It is c

Step-by-step explanation:

Answer:

see image...

the three makes it "taller", the 4x , " speeds up the frequency", and the "+ [tex]\pi[/tex]"

will phase shift it to the right

Step-by-step explanation:

Answer:

The center is (0,0) and the radius is 2

Step-by-step explanation:

The equation of a circle is

(x-h)^2 + (y-k)^2 = r^2  where (h,k) is the center and r is the radius

x^2+y^2=4

(x-0)^2 + (y-0)^2 = 2^2

The center is (0,0) and the radius is 2

Answer:

D

Step-by-step explanation:

Shawn

Let the number of weeks = w

The beginning amount = 16 dollars

The amount per week is 10 dollars

The number of weeks is 10x

Equation

Savings = 16 + 10x

Mark

Let the number of weeks = w

The beginning amount = 22 dollars

The amount per week is 7 dollars

The number of weeks is 7x

Equation

savings = 22 + 7x

But they are working together so their separate equations must be added.

Total Savings= 16 + 10x + 22 + 7x = 38 + 17x

Answer: 17x + 38 = 225

Answer:

Step-by-step explanation:

Angles 1, 2, and 3 are supplementary (they add up to equal 180). If angles 1 and 3 are 20 each, then their sum in 40, making angle 2

180 - 40 = 140. If this central angle is 140 degrees, then the measure of the arc that it cuts off also measures 140 degrees. This is not to be confused with the arc length, which is not even remotely the same thing!

Answer:

7/504

Step-by-step explanation:

there are 504 possibilities of your mom winning and 7 out of tjose are the odds of her winning.

Answer:

$0.5

Step-by-step explanation:

A + B = 1.10

A=1 +B

now A + B = 1.10

A - B = 1 (B cancels out)

2A = 2.10

A= 1.05

A + B = 1.10

substitute A value

1.05 + B = 1.10

B= 1.10-1.05

B=$ 0.5

Answer:

y = 2/5x +24/5

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 2/5 x +b

Substitute the point into the equation and solve for b

4 = 2/5(-2)+b

4 = -4/5 +b

Add 4/5 to each side

20/5 +4/5 = b

24/5 = b

y = 2/5x +24/5

Answer:

y = 6

Step-by-step explanation:

If x = 1, then: 3 x 1 + y = 9 (first equation)

3 x 1 + y = 9

3 + y = 9

y = 9 - 3

y = 6

Question 9

The point (30,15) means that x = 30 and y = 15 pair up together.

Similarly, (40,25) means we have x = 40 and y = 25 paired up.

Apply the slope formula to get

m = (y2-y1)/(x2-x1)

m = (25-15)/(40-30)

m = 10/10

m = 1

The slope is 1.

It tells us that each time y goes up by 1, x is also increasing by 1.

slope = rise/run = 1/1

rise = 1, run = 1

The rise is the change in y, the run is the change in x.

This means the plant's height (y) goes up by 1 cm each time the number of days (x) goes up by 1.

In short, the plant's height is increasing by 1 cm per day

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

Question 10

y varies directly with x, so y = kx for some constant k.

We're then told that x = -1 and y = -2 pair up together.

Let's find k based on those items

y = kx

y/x = k

k = y/x

k = -2/(-1)

k = 2

So y = kx becomes y = 2x

Then we're asked to find x when y = -4

y = 2x

y/2 = x

x = y/2

x = -4/2

x = -2

Answer:

(- 8, 8 ) and (- 4, 1 )

Step-by-step explanation:

The solution to a system of equations given graphically is at the points of intersection of the two

They intersect at (- 8, 8 ) and (- 4, 1 ) ← solutions

Answer:

-5/2

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -12 - 3)/(4 - -2)

   = (-12-3)/(4+2)

   -15/6

  -5/2

Answer:

-5/2

Step-by-step explanation:

(y2-y1)/(x2-x1) = -15/6 = -5/2

Answer:

c

Step-by-step explanation:

Answer:

f(x) = x² + 2x + 1

Step-by-step explanation:

you know how to multiply 2 expressions ?

let's say in general we have

(a + b)(c + d)

you take one part of one expression and multiply it with all parts of the other expression, then you take the second part of the first expression and multiply it with all parts of the other expression, then a potential third part, then a fourth part and so on, and you add all these things together (well, depending on the actual signs, of course).

so, we get for this simple generic example

a×c + b×c + a×d + b×d

now we use that understanding for our question here.

(x+1)(x+1) = x×x + 1×x + x×1 + 1×1 = x² + x + x + 1 = x² + 2x + 1

Answer:

The value of x is any number because x is a variable that's in algebra

Answer:

4

Step-by-step explanation:

4/7 × 21÷3

4/7×7

=4

this is the answer ....thank you

Answer:

B just did the test

Step-by-step explanation:

I just did this question. I got most of it wrong , so here it is.

2 Years option B is NOT 2,111

4 years option A is NOT 2,422

4 Years option B is NOT 2,438

8 years option A IS 2,896

Answer:

1 1/9 =x

Step-by-step explanation:

x+2x+3x+4x

----------------------- =9

x*x

10x

-------=9

x^2

10

----=9

x

10 = 9x

10/9 =x

1 1/9 =x

Step-by-step explanation:

[tex]\frac{x + 2x + 3x + 4x}{x . x\\}[/tex] = 9

=> [tex]\frac{10x}{x^{2} }[/tex] = 9

=> [tex]\frac{10}{x}[/tex] = 9

=> x = [tex]\frac{10}{9}[/tex]

And answer (C) 1 [tex]\frac{1}{9}[/tex] = [tex]\frac{10}{9}[/tex] = x

Answer:

(4x+3)(2x+1)

Step-by-step explanation:

Answer:

= (2x + 1) (4x + 3)

Step-by-step explanation:

Which of the following represents the factorization of the trinomial below? 8x²+ 10x+3

= (8x^2 + 4x) + (6x + 3)

=4x (2x + 1) + 3 (2x + 1)

Factor out common term\: 2x + 1

= (2x + 1) (4x + 3)