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Alexxandr [17]
2 years ago
5

Y=x^2+14x+40 in vertex form by completing the square

Mathematics
1 answer:
grandymaker [24]2 years ago
4 0
Vertex form of a quadratic is:

y=a(x-h)^2+k  (where (h,k) is the vertex of the quadratic)

y=x^2+14x+40

y-40=x^2+14x

y-40+49=x^2+14x+49

y+9=(x+7)^2

y=(x+7)^2-9
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How do i do numer 1 and 3.?!?!?!?!?!
Anna11 [10]
To solve each question, all you've got to do is add the two numbers together and then graph the result on the number line.

1.) -3 +(-1.5)
Add 3 to -1.5. It would be the same as subtracting 1.5 from -3(-3 - 1.5)
Final Answer: -4.5<span>
Or, since you are using a number line, start on -3 and go left 1.5 units and you will land on the -4.5 point. You go to the left because you are adding a negative number..
</span>
2.) 1.5+3.5
Add<span>
Final Answer: 5
</span>Or, since you are using a number line, start on 1.5 and go to the right 3.5 and you will land on 5. You go to the right because you are adding a positive number.<span>

</span>3.) 1/4 + 1/2
Multiply 1/2 by 2 to make both fractions have the same denominator
1/4 + 2/4
Add<span>
Final Answer: 3/4
</span>Or, since you are using a number line, start on 1/4 and go up 2/4 and you will land on 3/4 as the result.<span>

</span>4.) -1 1/2 + (-1 1/2)
Add -1 1/2 to -1 1/2. This would be the same as subtracting 1 1/2 from -1 1/2(-1 1/2 - 1 1/2)<span>
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8 0
3 years ago
Solve for z.<br> 11z + 2z = -13
Ronch [10]

Answer:

z = -1

Step-by-step explanation:

add like terms: 13z = -13

divide both sides by 13: z = -1

3 0
2 years ago
Read 2 more answers
The bottom of a box is to be a rectangle with a perimeter of 36 CM. The Box must be 4 cm High. What is the maximum volume?
Amanda [17]

The maximum volume would be when the bottom of the box is a square.

The perimeter of the bottom is 36, so the side of the square would be 36/4 = 9 cm.

Then to find volume multiply the length by the width by the height:

Volume = 9 x 9 x 4 = 324 cm^3

The answer would be a.

8 0
2 years ago
Read 2 more answers
Can anyone help? <br><br> If arcLM = 8x-56 and arcNP = 5x+22, find arcLP.
Mashcka [7]

Answer:

arcLP = 19

Step-by-step explanation:

Given the following

arcLM = 8x-56

arcNP = 5x+22

Required

arcLP

Given that arcLM = arcNP

8x-56 = 5x+22

8x - 5x  = 22 + 56

3x = 78

x = 78/3

x = 26

Let assume arcLP = x - 7

arcLP = 26 -7

arcLP = 19

4 0
2 years ago
Someone help me please!!
olganol [36]

Answer:

346

Step-by-step explanation:

(40*22)-(34*16)

=880-544

=346

3 0
2 years ago
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