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Andre45 [30]
3 years ago
7

Y=4x^2+7x vertex form

Mathematics
1 answer:
cricket20 [7]3 years ago
5 0
Use completing the square:

Ex:
y = x^2 +4x  \\  \\ y= x^2 +4x +(\frac{4}{2})^2- (\frac{4}{2})^2 \\  \\ y = (x^2 +4x+4) - 4 \\  \\ y = (x+2)^2 - 4

Now apply to your problem.
First factor out the '4' in front of the 'x^2' term
y = 4(x^2 + \frac{7}{4}x)
Apply completing the square:
y = 4(x^2 + \frac{7}{4}x +(\frac{7/4}{2})^2 -(\frac{7/4}{2})^2) \\  \\ y = 4[(x^2 + \frac{7}{4}x+\frac{49}{64}) - \frac{49}{64} ] \\  \\ y = 4(x + \frac{7}{8})^2 - \frac{49}{16}
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The ratio of two complementary angles is 7:2. What is the measure, in degrees, of the larger angle?
AnnZ [28]

Answer:

The larger angle is 70°

And The smaller angle is 20°  .

Step-by-step explanation:

Given as :

The ratio of two complementary angles = 7 : 2

Let The larger angle = 7 x

And The smaller angle = 2 x

Now, According to question

<u>Complementary angle is define as when two angles were added to make right angle i.e 90° are complementary to each other .</u>

So, here

7 x + 2 x =  90°

Or, 9 x =  90°

∴  x = \dfrac{90^{\circ}}{9}

i.e x = 10°

Now, putting the value of x

So, The larger angle = 7 × 10° = 70°

And The smaller angle = 2 × 10° = 20°

Hence, The larger angle is 70°

And The smaller angle is 20°  . Answer

7 0
3 years ago
find the value of the polygon. the polygon has 6 interior angles 2 of them are y and 4 of them are (2Y-20)
Anna35 [415]
First we need to determine what the 6 angles must add to. Turns out we use this formula

S = 180(n-2)

where S is the sum of the angles (result of adding them all up) and n is the number of sides. In this case, n = 6. So let's plug that in to get

S = 180(n-2)
S = 180(6-2)
S = 180(4)
S = 720

The six angles, whatever they are individually, add to 720 degrees. The six angles are y, y, 2y-20, 2y-20,  2y-20,  2y-20, <span> 

They add up and must be equal to 720, so let's set up the equation to get...

(y)+(y)+(</span>2y-20)+(2y-20)+(2y-20)+(<span>2y-20) = 720

Let's solve for y

</span>y+y+2y-20+2y-20+2y-20+2y-20 = 720

10y-80 = 720

10y-80+80 = 720+80

<span>10y = 800
</span>
10y/10 = 800/10

y = 80

Now that we know the value of y, we can figure out the six angles

angle1 = y = 80 degrees
<span>angle2 = y = 80 degrees
</span><span>angle3 = 2y-20 = 2*80-20 = 140 degrees
</span>angle4 = 2y-20 = 2*80-20 =<span> 140 degrees
</span><span>angle5 = 2y-20 = 2*80-20 = 140 degrees
</span>angle6 = 2y-20 = 2*80-20 =<span> 140 degrees
</span>
and that's all there is to it
3 0
4 years ago
What is the surface area of the cylinder with height 5 mi and radius 2 mi? Round your
victus00 [196]

Answer:

62.8319 mi²

Step-by-step explanation:

The volume formula here is V = (area of base)(height),

If we fill in the given measurements, we get:

V = π(2 mi)²(5 mi) = 62.8319 mi²

6 0
3 years ago
PLEASE HURRY!!!!
Aleksandr [31]

Answer:

The answer is 40

Step-by-step explanation:

The reason for this is because. . .

(-1,-4) , (3,6)

so you have count from -1 to 3 and u will get 4, because if you can put (-1,-4) and (3,6) on a graph. If you did that then u must count horizantolly from -1 to 3 since they are on the x-axis. In the end you will get 4 since 3 minus -1 is 4. Also if your counting horizantally then that's ur width.

width = 4

To find the length, it is very simple. Subrtract 6 from -4 and you will get 10. And since the y-axis is being counted vertically, that is your length.

length = 10

To find the area, u have to do width times length so in this case you have to do 4 time 10 and you will get 40.

area = 40

8 0
3 years ago
Evaluate the expression x3+x2 for x=4
Greeley [361]

Answer:

20

Step-by-step explanation:

x3+x2; x =4\\(4)3+(4)2\\12 + 8 =20

5 0
4 years ago
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