Write in vertex form (by completing the square)y=4x2+40x+96

Answers

Answer 1

Answer: $y=4x^2+40x+96\n \n The \ vertex \ form \ of \ the \ function \ is: \n \ny = a(x - h)^2 + k \n \nvertex =(h, k) \ is \ given \ by: \n \nh = (-b)/(2a) , \ \ \ k = c -(b^2)/(4a) \n \na=4 , \ \ b=40 , \ \ c=96$

$h = (-40)/(2 \cdot 4)=(-40)/(8)=-5 \n \n k = 96 -(40^2)/(4 \cdot 4) =96-(1600)/(16) =96-100=-4 \n \n y = 4(x - (-5) )^2 + (-5)=4(x +5 )^2 -5$

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D= 11/5(p-15)

solve for p.

Answers

Answer: The required solution for p is $p=(11+75D)/(5D).$

Step-by-step explanation: We are given to solve the following equation for the unknown variable p :

$D=(11)/(5(p-15))~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To solve the given equation for p, we must find the value of p in terms of D.

From equation (i), we have

$D=(11)/(5(p-15))\n\n\n\Rightarrow D=(11)/(5p-75)\n\n\n\Rightarrow D(5p-75)=11\n\n\Rightarrow 5Dp-75D=11\n\n\Rightarrow 5Dp=11+75D\n\n\Rightarrow p=(11+75D)/(5D).$

Thus, the required solution for p is $p=(11+75D)/(5D).$

D=11/5p-33
11/5p=D+33
p=5/11D+15

Can someone plz explain and gimme the answer...

Answers

Answer:

The choice two

$5 √(2)$

Step-by-step explanation:

${a}^(2) + {b}^(2) = {c}^(2) \n {5}^(2) + {5}^(2) = {c}^(2) \n 25 + 25 = {c}^(2) \n 50 = {c}^(2) \n c = 5 √(2)$

What is 1/4 written as a percent

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1/4 is basically 25 cents if you think of quarters. Do .25=25%

In a right triangle, the measures of the two smaller angles are (3X+6) and (2X-1) . Find the measure of the smallest angle in the triangle.

Answers

In a right triangle the biggest angle is 90°.

Then the two smaller angles sum up 180° - 90° = 90 °.

Now you can use this equation: 3x + 6 + 2x - 1 = 90 and solve for x:

5 x + 5 = 90
5x = 85
x = 85/5
x = 17

Then, the smallest angle is 2(17) - 1 = 33°

Then, the smallest angle is 2(17) - 1 = 33°

Which statement about the given equation is NOT true?3x + 4y = 12
a. It is in slope-intercept form with a positive slope of 4/3.
b. It is an example of a linear equation.
c. It has two variables and has coefficients of 3 and 4.
d. It represents a line which, when graphed, doesn't pass through the origin.

Answers

A, slope intercept form is y =mx +b

What is the next fraction in this sequence simplify your answer 4/5,2/5,1/5,1/10