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3 years ago

Ax + b = 10 solve for x

Mathematics

1 answer:

maxonik [38]3 years ago

6 0

Answer:

x = (10 - b) / a

Step-by-step explanation:

ax + b = 10

ax = 10 - b

x = (10 - b) / a

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Use the information provided to write the equation of each circle

Nadusha1986 [10]

Answer:

centre(h,k)=(-13,9)

radius (r)=6

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x+13)²+(y-9)²=6²

x²+26x+169+y²-18y+81=36

x²+y²+26x-18y+169+81-36=0

x²+y²+26x-18y +214=0

is a required equation of the circle.

centre(h,k)=(1,-1)

radius (r)=11

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x-1)²+(y+1)²=11²

x²-2x+1+y²+2y+1=121

x²+y²-2x+2y=121-2

x²+y²-2x+2y=119

is a required equation of the circle.

4 0

3 years ago

Find the average value of the function f(t)=(t-2)^2 on [0,6]

pentagon [3]

Answer:

Step-by-step explanation:

The "average value of function f(x) on interval [a, b] is given by:

f(b) - f(a)

ave. value = ---------------

b - a

Here f(t)=(t-2)^2.

Thus, f(b) = (b - 2)^2. For b = 6, we get:

f(6) = 6^2 - 4(6) + 4, or f(6) = 36 - 24 + 4 = 16

For a = 0, we get:

f(0) = (0 - 2)^2 = 4

Plugging these results into the ave. value function shown above, we get:

16 - 4

ave. value = ------------ = 12/6 = 2

6 - 0

The average value of the function f(t)=(t-2)^2 on [0,6] is 2.

4 0

3 years ago

Solve the equation <img src="https://tex.z-dn.net/?f=8x%5E2%3D-36" id="TexFormula1" title="8x^2=-36" alt="8x^2=-36" align="absmi

chubhunter [2.5K]

Answer: 4(2x²+9) or $i\frac{3\sqrt{2} }{2}$

Step-by-step explanation:

To solve the equation by factoring, we want to set the equation to zero. In order to have the equation equal to zero, we want to add both sides by 36.

8x²=-36 [add both sides by 36]

8x²+36=0

When it comes to factoring, we want to pull out numbers or variables that are common in each term.

8x²+36=0 [take out a 4 in each term]

4(2x²+9)=0

It may seem that 2x²+9 can be factored further, it actually can't. This tells us that the factored form of the equation is 4(2x²+9)=0.

To solve the equation, we want to find the value of x. We already know the graph does not cross the x-axis because the y-intercept or vertex is (0,9).

4(2x²+9)=0 [divide both sides by 4]

2x²+9=0 [subtract both sides by 9]

2x²=-9 [divide both sides by 2]

x²=-9/2 [square root both sides]

$x=\sqrt{-\frac{9}{2} }$ or $x=i\frac{3\sqrt{2} }{2}$

6 0

3 years ago

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Lines

xeze [42]

Answer:

x=27, y=18

Step-by-step explanation:

Angle CB is 128, which means angle AC is 72. We can confirm angle O is also 72, since the lines are straight. Angle AM is 27, because AN is a right angle. 63+72+27= 162 180-162=18 Angle ND is 18.

6 0

3 years ago

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What value is equivalent to 4 + 3(10 − 2 3)? 3 means the third power.

katrin [286]

Answer: 10

Step-by-step explanation:

4+ 3x (10 - 2^3)

4+ 3x (10 - 8)

4+ 3x 2

4 +6 = 10

5 0

3 years ago

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