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3 years ago

Complete the square to re-write the quadratic function vertex form:y=x2 + 4x + 4

Mathematics

1 answer:

ankoles [38]3 years ago

3 0

Answer:

Step-by-step explanation:

y=x²+4x+4

or y=(x+2)²

or y=(x+2)²+0

vertex Is (-2,0)

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What is the value of x? Please show step by step.

3241004551 [841]

Start by using trig to find the length of the line LJ

The triangle KJL (big right angled triangle) has been given the following dimensions

Hypotenuse = $8 \sqrt{2}$
The adjacent angle is 30 degrees

Since we have the hypotenuse and the angle we must use the equation
opposite = Sin(angle) x Hypotenuse

Opposite= sin30 x $8 \sqrt{2}$

Opposite= $4 \sqrt{2}$

Therefore line LJ is $4 \sqrt{2}$

Now look at the smaller right angled triangle (LMJ)

Hypotenuse is the line LJ which is $4 \sqrt{2}$

The adjacent angle is 45

Since we have hypotenuse and angle we must use the equation opposite = sin(angle) * h

therefore
x= $4 \sqrt{2}$ * sin45= 4

3 0

3 years ago

the total cost of 4 pens and 7 mechanical pencils is $13.25 the cost of each pencil is $0.75 write an equation that could be use

balu736 [363]

4x+7y=$13.25
4x+ 7($0.75)

7 0

3 years ago

3f+2g=30 and f+2g=26

tatuchka [14]

3f + 2g = 30 . . .(1)
f + 2g = 26 . . . .(2)

(1) - (2) => 2f = 4 => f = 4/2 = 2

From (2), 2 + 2g = 26 => 2g = 26 - 2 = 24 => g = 24/2 = 12

Therefore, f = 2 and g = 12

7 0

3 years ago

The original price of a video game is $32.99 before tax. When Mario bought the video game it rang up as $26.39 before tax. He th

mihalych1998 [28]

Answer:

Part A: The percent discount on game is 20%.

Part B: Mario paid a total of $28.50 including sales tax.

Step-by-step explanation:

Given that:

Part A:

Original price of video game = $32.99

Discounted price = $26.39

Amount of discount = 32.99 - 26.39 = $6.60

Discount percent = $\frac{Amount\ of\ discount}{Original\ price}*100$

Discount percent = $\frac{6.60}{32.99}*100 = 0.20*100$

Discount percent = 20%

Part B:

Sales tax = 8% of discounted price

Amount of sales tax = $\frac{8}{100}*26.39 = 0.08*26.39$

Amount of sales tax = $2.11

Total amount = $26.39 + $ 2.11 = $28.50

Hence,

Part A: The percent discount on game is 20%.

Part B: Mario paid a total of $28.50 including sales tax.

5 0

3 years ago

Pls hurry will give brainlyest or whatever !!!

abruzzese [7]

Answer:

Step-by-step explanation:

10+(10x3)-2(10-3)=

10+30+-2(7)=

40-14=

4 0

3 years ago

Complete the square to re-write the quadratic function vertex form:y=x2 + 4x + 4​

Complete the square to re-write the quadratic function vertex form:y=x2 + 4x + 4