x²-12x+a=(x+b)² find a and b​

Answers

Answer 1

Answer:

Step-by-step explanation:

x² - 12x + a = (x + b)²

x² - 12x + a = x² + 2xb + b²

-12 = 2b and a = b²

b = -6

a = b² = 36

Answer 2

The value of a is 36 and b = -6.

What is the quadratic equation?

The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics. It is expressed in the form of: ax² + bx + c = 0.

The given expression is;

[tex]\rm x^2-12x+a=(x+b)^2[/tex]

The solution of the equation is determined in the folllowing steps given below.

[tex]\rm x^2-12x+a=(x+b)^2\\\\x^2-12x+a=x^2+2xb+b^2\\\\2xb + b^2 = a-12x[/tex]

On comparing the equation

[tex]\rm 2b =-12\\\\b =\dfrac{-12}{2}\\\\b=-6[/tex]

The value of a is;

[tex]\rm a=b^2\\\\b=-6\\\\a=(-6)^2\\\\a=36[/tex]

Hence, the value of a is 36 and b = -6.

Learn more about equation here;

https://brainly.com/question/15339001

#SPJ2


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Step-by-step explanation:

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C cause it has to be 54 then the median is 58

Step-by-step explanation:

To solve the system of equations below, Grace isolated the variable y in the
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Answers

Answer:

D

Step-by-step explanation:

2y=10x

Divide both sides by 2.

y=5x

Now substitute this into the second equation.

Answer:

b. [tex]x^2/64 - 5y^2/36=1[/tex]

Step-by-step explanation: a p e x

Use transformations of f(x) = x² to graph the following function.
g(x) = x² +5
Select all the transformations that are needed to graph the given function using f(x)= x?.
A. Shift the graph 5 units down.
B. Reflect the graph about the x-axis.
C. Shift the graph 5 units up.
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E. Shrink the graph vertically by a factor of 5.
F. Shrink the graph horizontally by a factor of 5.
G. Shift the graph 5 units to the left.
H. Shift the graph 5 units to the right.
I. Stretch the graph vertically by a factor of 5.
J. Stretch the graph horizontally by a factor of 5.

Answers

Answer:

C. Shift the graph 5 units up.

Step-by-step explanation:

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Answer:

99/8

Step-by-step explanation:

Please refer to the attachment

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Answer:

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Step-by-step explanation:

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Answer:

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Answers

Answer:

11). x = 25.8°

12). x = 67.3°

Step-by-step explanation:

11). By using sine rule in the given triangle,

   cos(x) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

   cos(x) = [tex]\frac{27}{30}[/tex]

   x = [tex]\text{cos}^{-1}(\frac{9}{10} )[/tex]

   x = 25.84

   x ≈ 25.8°

12). By applying tangent rule in the given triangle,

    tan(x) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

    tan(x) = [tex]\frac{43}{18}[/tex]

    x = [tex]\text{tan}^{-1}(\frac{43}{18} )[/tex]

    x = 67.29°

    x ≈ 67.3°  

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Answers

Answer:

Step-by-step explanation:

A computer program found that the line c=2t−89c=2t−89c=2t−89 is a good fit for the data. Use this equation to predict how many cups of lemonade Lin might sell on a day when the high temperature is 74 degrees.

Answers

Answer:

58cups

Step-by-step explanation:

Given the equation for the line as c = 2t - 89

If the temperature is 74 degrees, then we can find the number of cups at this temperature;

Substitute t = 74 unti the expression

x = 2(74) - 89

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c = 58cups

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determine the measure of each angle: x,y and z
PLS HELP

Answers

Answer:

x=42°

y=64°

z=68°

Step-by-step explanation:

Consider the triangle towards the right with 90° and 48° marked. The other angles must equal 42° (angles in a triangle add to 180, 42+48+90=180). This 42° angle is vertically opposite x, so x=42°.

The triangle that contains z also contains the angle 22° and 90° (because it is on a straight line with another 90° angle and the angles along a straight line add up to 180 (90+90=180)). Since the angles in a triangle add to 180, z=68°. (68+22+90=180)

The angles z, 48° and y lie along a straight line. Since the angles along a straight line equal 180 and since we know that z=68°, we can say y=64° (68+64+48=180)

Answer:

Solve for x: (use triangle sum theorem)

48+90+x=180

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Solve for y: (Find z first, then use triangle sum theorem)

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Solve for z: (triangle sum theorem)

22+90+z=180

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Answer:

400

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Answers

Answer:

644 cm³

Step-by-step explanation:

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W = 3

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W = 10

H = 7

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W = 3

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

pi

Step-by-step explanation:

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3.14159 Radian

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Answers

Answer:

Step-by-step explanation:

5. angle FDE = 180-90-63 = 27°

 arc FE = 2×27 = 54°

6. arc GJ = 360-68-31-115 = 146°

 angle GHJ = 146/2 = 73°

7. angle GIJ = 146/2 = 73°

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10. see picture

5) The sum of angle in the triangle DEF is 180 degrees

mFE = <D

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6) For this circle geometry, we will use the theorem

The sum of Opposite side of a cyclic quadrilateral is 180 degrees.

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7) The sum of angle in a circle is 360, hence;

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<GHJ = 1/2 arcGJ

<GHJ = 1/2(146)

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Since the triangle in a semi circle is a right angled triangle, hence m<Q = 90 degrees (triangle PQR is a right angled triangle)

m<S = 180 - 90

m<S = 90 degrees

Learn more here: brainly.com/questions/11325504

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Answers

Answer:

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the answer is X=118 because if you add 118 to 3 you get 121 and that is the equal to the other side
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