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Naddika [18.5K]
2 years ago
15

HA=2-bA , solve the equation for A

Mathematics
2 answers:
yaroslaw [1]2 years ago
7 0
HA + bA = 2
A(h+b) = 2
A = 2/h+b
sergiy2304 [10]2 years ago
4 0

Answer:

A=\frac{2}{h+b}

Step-by-step explanation:

hA=2-bA\\\\hA+bA=2\\\\A(h+b)=2\\\\A=\frac{2}{h+b}

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Pre-Calc help:
stepladder [879]

Answer:

8x^2+8y^2-79x-32y+95=0

Step-by-step explanation:

Let the equation be : x^2+y^2+2gx+2fy+c=0

The point (1,1) must satisfy this equation.

1^2+1^2+2g*1+2f*1+c=0\\2g+2f+c=-2---(1)

Similarly, the point (1,3) must satisfy:

1^2+3^2+2g*1+2f*3+c=0\\1+9+2g+6f+c=0\\2g+6f+c=-10---(2)

Also for the point (9,2), we have:

9^2+2^2+2g*9+2f*2+c=0\\81+4+18g+4f+c=0\\18g+4f+c=-85---(3)

Solving the equations (1), (2) and (3) simultaneously, we get:

g=-\frac{-79}{16},f=-2,c=\frac{95}{8}

We Substitute this values to get:

x^2+y^2+2(\frac{-79}{16})x+2(-2)y+\frac{95}{8}=0

x^2+y^2-(\frac{79}{8})x-4y+\frac{95}{8}=0

Multiply through by 8 to get:

8x^2+8y^2-79x-32y+95=0

8 0
3 years ago
Find all values of the variable
labwork [276]

The values of x for which the rational expression is undefined are -6 and -8.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a rational function:

\rm f(x) = \dfrac{3x+20}{x^2+14x+48}

As we know in the rational function denominator cannot be zero:

The values of x for which the rational expression is undefined.

x² + 14x + 48 = 0

\rm x_{1,\:2}=\dfrac{-14\pm \sqrt{14^2-4\cdot \:1\cdot \:48}}{2\cdot \:1}

\rm x_1=\dfrac{-14+2}{2\cdot \:1},\:x_2=\dfrac{-14-2}{2\cdot \:1}

x = -6, -8


Thus, the values of x for which the rational expression is undefined are -6 and -8.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

6 0
1 year ago
PLEASE HELP FAST!!! Find the surface area of the composite figure. Round your answer to the nearest tenth if necessary.
aksik [14]

Using the surface area formula for rectangular and triangular prism, the surface area of the composite figure is: 444 m².

<h3>What is the Surface Area of the Composite Figure?</h3>

Total surface area = surface area of the top triangular prism + surface area of the bottom rectangular prism - area of the surface both share together.

Surface area of the top triangular prism = (S1 + S2+ S3)L + bh = (10 + 10 + 16)5 + (16)(6) = 276 m².

Surface area of the bottom rectangular prism = 2(wl + hl + hw) = 2·(5·16+4·16+4·5) = 328 m²

Area of the surface both share together = 2(16)(5) = 160 m²

Total surface area = 276 + 328 - 160 = 444 m².

Learn more about the surface area of triangular prism on:

brainly.com/question/16147227

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3 0
2 years ago
Show how can you find the unit rate without using the models​
Hatshy [7]

Answer:

You can use equation or use a calculator.

Step-by-step explanation:

4 0
3 years ago
Help QUICK!!!<br> what is the slope of the line?
Zinaida [17]

Answer:

-1

Step-by-step explanation:

We need two points to use the slope formula

(0,2) and (2,0) are points on the line

m= ( y2-y1)/(x2-x1)

   = (0-2)/(2-0)

   = -2/2

   =-1

8 0
2 years ago
Read 2 more answers
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