What is the vertex of the parabola y=(x+3)+9?
(3,9)
O (-3,-9)
O (3,9)

Answer: -18

Step-by-step explanation:

3 x -6 = 18

Answer:

3(6-) = 18-

Step-by-step explanation:

Answer:

1/16 is your answer :)

Answer:

1=d

2= i

3=b

4=f

Step-by-step explanation:

I just found the equations for each line and matched it

Answer:

[tex]\cot(x)+\cot(\frac{\pi}{2}-x)[/tex]

[tex]\cot(x)+\tan(x)[/tex]

[tex]\frac{\cos(x)}{\sin(x)}+\frac{\sin(x)}{\cos(x)}[/tex]

[tex]\frac{1}{\sin(x)}(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]

[tex]\csc(x)(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]

[tex]\csc(x)[\frac{\cos(x)\cos(x)}{\cos(x)}+\sin(x)\frac{sin(x)}{\cos(x)}][/tex]

[tex]\csc(x)[\frac{\cos(x)\cos(x)+\sin(x)\sin(x)}{\cos(x)}][/tex]

[tex]\csc(x)[\frac{\cos^2(x)+\sin^2(x)}{\cos(x)}][/tex]

[tex]\csc(x)[\frac{1}{\cos(x)}][/tex]

[tex]\csc(x)[\sec(x)][/tex]

[tex]\csc(x)[\csc(\frac{\pi}{2}-x)][/tex]

[tex]\csc(x)\csc(\frac{\pi}{2}-x)[/tex]

Step-by-step explanation:

I'm going to use [tex]x[/tex] instead of [tex]\theta[/tex] because it is less characters for me to type.

I'm going to start with the left hand side and see if I can turn it into the right hand side.

[tex]\cot(x)+\cot(\frac{\pi}{2}-x)[/tex]

I'm going to use a cofunction identity for the 2nd term.

This is the identity: [tex]\tan(x)=\cot(\frac{\pi}{2}-x)[/tex] I'm going to use there.

[tex]\cot(x)+\tan(x)[/tex]

I'm going to rewrite this in terms of [tex]\sin(x)[/tex] and [tex]\cos(x)[/tex] because I prefer to work in those terms. My objective here is to some how write this sum as a product.

I'm going to first use these quotient identities: [tex]\frac{\cos(x)}{\sin(x)}=\cot(x)[/tex] and [tex]\frac{\sin(x)}{\cos(x)}=\tan(x)[/tex]

So we have:

[tex]\frac{\cos(x)}{\sin(x)}+\frac{\sin(x)}{\cos(x)}[/tex]

I'm going to factor out [tex]\frac{1}{\sin(x)}[/tex] because if I do that I will have the [tex]\csc(x)[/tex] factor I see on the right by the reciprocal identity:

[tex]\csc(x)=\frac{1}{\sin(x)}[/tex]

[tex]\frac{1}{\sin(x)}(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]

[tex]\csc(x)(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]

Now I need to somehow show right right factor of this is equal to the right factor of the right hand side.

That is, I need to show [tex]\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)}[/tex] is equal to [tex]\csc(\frac{\pi}{2}-x)[/tex].

So since I want one term I'm going to write as a single fraction first:

[tex]\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)}[/tex]

Find a common denominator which is [tex]\cos(x)[/tex]:

[tex]\frac{\cos(x)\cos(x)}{\cos(x)}+\sin(x)\frac{sin(x)}{\cos(x)}[/tex]

[tex]\frac{\cos(x)\cos(x)+\sin(x)\sin(x)}{\cos(x)}[/tex]

[tex]\frac{\cos^2(x)+\sin^2(x)}{\cos(x)}[/tex]

By  the Pythagorean Identity [tex]\cos^2(x)+\sin^2(x)=1[/tex] I can rewrite the top as 1:

[tex]\frac{1}{\cos(x)}[/tex]

By the quotient identity [tex]\sec(x)=\frac{1}{\cos(x)}[/tex], I can rewrite this as:

[tex]\sec(x)[/tex]

By the cofunction identity [tex]\sec(x)=\csc(x)=(\frac{\pi}{2}-x)[/tex], we have the second factor of the right hand side:

[tex]\csc(\frac{\pi}{2}-x)[/tex]

Let's just do it all together without all the words now:

[tex]\cot(x)+\cot(\frac{\pi}{2}-x)[/tex]

[tex]\cot(x)+\tan(x)[/tex]

[tex]\frac{\cos(x)}{\sin(x)}+\frac{\sin(x)}{\cos(x)}[/tex]

[tex]\frac{1}{\sin(x)}(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]

[tex]\csc(x)(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]

[tex]\csc(x)[\frac{\cos(x)\cos(x)}{\cos(x)}+\sin(x)\frac{sin(x)}{\cos(x)}][/tex]

[tex]\csc(x)[\frac{\cos(x)\cos(x)+\sin(x)\sin(x)}{\cos(x)}][/tex]

[tex]\csc(x)[\frac{\cos^2(x)+\sin^2(x)}{\cos(x)}][/tex]

[tex]\csc(x)[\frac{1}{\cos(x)}][/tex]

[tex]\csc(x)[\sec(x)][/tex]

[tex]\csc(x)[\csc(\frac{\pi}{2}-x)][/tex]

[tex]\csc(x)\csc(\frac{\pi}{2}-x)[/tex]

Answer:

What are the answers?

Step-by-step explanation:

because the ratio is 25:1 aka 25 pages: 1 minute

Answer:

20 stacks of 5 pennies weight 0.33 pounds

Step-by-step explanation:

First, we need to calculate the weight in kilograms of 20 stacks of 5 pennies:

20 stacks= 0.0075*20

20 stacks= 0.15 kg

Now, we can determine the weight in pounds:

1kg = 2.2 pounds

0.15kg = ?

Weight in pounds= (0.15*2.2)/1

Weight in pounds= 0.33 pounds

20 stacks of 5 pennies weight 0.33 pounds

Answer:

AC = 12.6m

Step-by-step explanation:

Formula :

[tex] \frac{a}{ \sin(a) } + \frac{b}{ \sin(b) } [/tex]

Working out shown in image above.

Answer:

600

Step-by-step explanation:

6 percent of 5000 is 300. 300x2=600.

Sorry if im wrong

Answer:

radius = 9.38 cm   or   7(sq rt 2) cm

Step-by-step explanation:

sq rt 88(Pi) = radius

radius = 9.38 cm   or   7(sq rt 2) cm

Answer:

4 1/2 hours

Step-by-step explanation:

Equation(s):

--

(146.25 - (19.50 x 3)) ÷ 19.50 =

4.5 or 4 1/2 hours

--

#LFM #Brainly

Answer:

8

Step-by-step explanation:

8/7  x 7 = 56/7 = 8

Answer:

8 days

Step-by-step explanation:

All you have to do is 8/7 multiplied by 7. Then you'll get your answer of 8 days.

Answer:

A. 6x^{2}+6y^{2}=144

Step-by-step explanation:

Answer:

Step-by-step explanation:

660

Answer:

660 pounds

Step-by-step explanation:

Answer:   5x + 2y = 19

x + 4y = 13

Step-by-step explanation:

let x be the cost of each five-pound bag of candy, and y be the cost of each one-pound bag of candy.

5x + 2y = 19

x + 4y = 13

Answer:

y=mx+b

m=2/3, b=-2

your answer is B. y=2/3x-2

Step-by-step explanation:

Hope this helps :)

Answer:

2

Step-by-step explanation:

the radius is half the diameter from the middle!

Answer:

The answer is 6.8

Step-by-step explanation:

Check on your calculator 6.8^2 equals 46

Answer:

Step-by-step explanation:

Area = 1/2bh

since b = 10in and height = 6in

then

1/2 x 10 x 6

= 30

Answer:

Area = 1/2bh since b = 10in and height = 6in next you do 1/2 x 10 x 6 = 30

Answer:

X=3 Y=10

Step-by-step explanation:

Answer:

x=6 and y=-4

Step-by-step explanation:

4x+y=20

x-y=10

5x=30

x=30/5

x=6

4x+y=20

4(6)+y=20

24+y=20

y=20-24

y=-4

Answer: p = - 6y - 2x + 8

Step-by-step explanation:

p = 2l + 2w

p = 2(4+5y-3x) + 2(2x - 8y​)

p = 8 + 10y - 6x + 4x- 16y

p = - 6y - 2x + 8

Answer:

P=-2x-6y+8 i believe

Step-by-step explanation:

P= 2(4+5y-3x) + 2(2x-8y)

P= 8+10y-6x +4x-16y

=8+10y+−6x+4x+−16y

=(−6x+4x)+(10y+−16y)+(8)

=−2x−6y+8

Answer:

show png of what u talking about

Step-by-step explanation:

not enough info

Given:

AD is an angle bisector in triangle ABC. [tex]m\angle CAB=44^\circ, m\angle ACB=72^\circ, m\angle ABC=64^\circ[/tex].

To find:

The value of [tex]m\angle ADC[/tex].

Solution:

AD is an angle bisector in triangle ABC.

[tex]m\angle CAD=m\angle BAD=\dfrac{m\angle CAB}{2}[/tex]

[tex]m\angle CAD=m\angle BAD=\dfrac{44^\circ}{2}[/tex]

[tex]m\angle CAD=m\angle BAD=22^\circ[/tex]

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

Using angle sum property in triangle CAD, we get

[tex]m\angle CAD+m\angle ADC+m\angle ACB=180^\circ[/tex]

[tex]22^\circ+m\angle ADC+72^\circ=180^\circ[/tex]

[tex]m\angle ADC+94^\circ=180^\circ[/tex]

[tex]m\angle ADC=180^\circ-94^\circ[/tex]

[tex]m\angle ADC=86^\circ[/tex]

Therefore, the angle of angle ADC is [tex]86^\circ[/tex].

Answer:

500

Step-by-step explanation:

500-400=100

100-50=50

500

Answer:

9) 21

10) 24

11) 14.6

Step-by-step explanation:

Literally just add up all the sides.

Answer:

5/3

Step-by-step explanation:

The slope is the coefficient next to the x. Therefore, the slope is 5/3.

Answer:

m= 5/3

Step-by-step explanation:

Math wizzz

Worked it out

And online calculator verified!

Step-by-step explanation:

s it will be just know the right

Answer:

Each algebra book costs $60.

Step-by-step explanation:

A=bill for algebra books; S=bill for science books=A+$360

S+A=$3960 Substitute for S

A+$360+A=$3960 Subtract $360 from each side.

2A=$3600 Divide each side by 2.

A=$1800 The order for 30 algebra books cost $1800.

Individual book=A/30

individual book=$1800/30=$60 ANSWER: Each algebra book cost $60.

Answer:

C≈18.85

Step-by-step explanation: