Convert into vertex form. Give the vertex. y = 3x²

Pleaseee help, Solve for x and y :3

irina1246 [14]

Answer:

x = $\sqrt{6}$ , y = 2 $\sqrt{3}$

Step-by-step explanation:

using the tangent ratio and the exact value tan45° = 1 , then

tan45° = $\frac{opposite}{adjacent}$ = $\frac{x}{\sqrt{6} }$ = 1 , then

x = $\sqrt{6}$

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using the cosine ratio in the right triangle and the exact value

cos45° = $\frac{1}{\sqrt{2} }$ , then

cos45° = $\frac{adjacent}{hypotenuse}$ = $\frac{\sqrt{6} }{y}$ = $\frac{1}{\sqrt{2} }$ ( cross- multiply )

y = $\sqrt{6}$ × $\sqrt{2}$ = $\sqrt{12}$ = 2 $\sqrt{3}$

6 0

2 years ago

HELP ASAP!!!!! WILL GIVE 20 POINTS AND BRAINLIEST!!!!!

Gala2k [10]

Answer:

C.

Step-by-step explanation:

4 0

3 years ago

Another question! A piece of fabric costs $5.29 a yard, which is an estimate cost of 16.3

lbvjy [14]

Answer:

B.)$80

5.29 times 16.3 is 86.227 but it is not close to 21 not 165 and not a 800 so the answer would be 80

6 0

3 years ago

Read 2 more answers

What amount of money do you have if you have 5 pennies, 13 nickels, 14 dimes, 2 quarters, and one 5 dollar bill?

BartSMP [9]

Answer:

$7.60

Step-by-step explanation:

Penny = $0.01
Nickel = $0.05
Dime = $0.10
Quarter = $0.25

( 5 × 0.01 ) + ( 13 × 0.05 ) + ( 14 × 0.10 ) + ( 2 × 0.25 ) + 5

-The 5 at the end represents the one five dollar bill.

Simplified: (solve what is in the parenthesis)

0.05 + 0.65 + 1.4 + 0.50 + 5 = $7.60

4 0

3 years ago

There are 3 red pens, 4 blue pens, 2 Blac pens, and 5 green pens in drawer, suppose you choose a pen at random

Alenkasestr [34]

Answer:

1. 3/14

2. 2/7

3. 1/7

4. 5/14

5. 11/14

6. 9/14

Step-by-step explanation:

first get the total number of pens

3 red pens + 4 blue pens + 2 black pens + 5 green pens =

14 total number of pens

1. What is the probability that the pen chosen red?

3 red pens out of a total of 14 pens = 3/14

2. What is the probability that the pen chosen is blue?

4 blue pens out of a total of 14 pens = 4/14 -> simplified -> 2/7

3. What is the probability that the pen chosen is black?

2 black pens out of a total of 14 pens = 2/14 -> simplified -> 1/7

4. What is the probability that the pen chosen is green?

5 green pens out of a total of 14 pens = 5/14

5. What is the probability that the pen chosen is NOT red?

of the 3 red pens, 4 blue pens, 2 black pens and 5 green pens

4 blue pens, 2 black pens and 5 green pens are NOT red

4 blue pens + 2 black pens + 5 green pens =

11 total number of pens that are NOT red

11 total number of pens that are NOT red out of a total of 14 pens = 11/14

6. What is the probability that the pen chosen is NOT green?

of the 3 red pens, 4 blue pens, 2 black pens and 5 green pens

the 3 red pens, 4 blue pens, 2 black pens are NOT green

3 red pens + 4 blue pens + 2 black pens =

9 total number of pens that are NOT green

9 total number of pens that are NOT green out of a total of 14 pens = 9/14

gathmath.com

6 0

2 years ago

Read 2 more answers

Convert into vertex form. Give the vertex. y = 3x² – 24x + 46