Calculate the diameter of a circle if it's circumference is 25.1

Two solutions of the equation Ax+By = 1 are (2, -1) and (-3,-2). Find A and B.

kati45 [8]

Answer:

Substitute in the values of both given coordinates & form 2 equations:

$\left \{ {{A(2)+B(-1)=1} \atop {A(-3)+B(-2)=1}} \right. \\\\=\left \{ {{2A-B=1} \atop {-3A-2B=1}} \right.$

Find the value of B from the equation 2A - B = 1:

$2A-B=1\\-B=1-2A\\B=2A-1$

Substitute in the B-value to the other equation:

$-3A-2B=1\\-3A-2(2A-1)=1\\-3A-4A+2=1\\-7A=1-2\\-7A=-1\\A=\frac{-1}{-7} =\frac{1}{7}$

Find the B-value using the equation from before:

$B=2A-1=2(\frac{1}{7})-1=\frac{2}{7} -\frac{7}{7} =-\frac{5}{7}$

Therefore the equation Ax + By = 1 would equal:

$\frac{1}{7} x-\frac{5}{7} y=1$

4 0

3 years ago

Molly needs to classify the triangle below based on angles. Which class is correct? 60° 50° 70° A. acute triangle О B. isosceles

Art [367]

Answer:

A. Actute triangle

Step-by-step explanation:

Is A because an acute triangle is a triangle where all the angles are the same.

Can not be B. because isosceles triangles have two sides that are the same which doesn't relate to angles.

Can not be C. because equilatiral triangles are triangles with sides that are all the same.

Can not be D. because for a triangle to be obtuse one of the angles needs to be greater that 90 degrees.

So it has to be A.

7 0

2 years ago

Which expression is equivalent to

nirvana33 [79]

For this case, we must find an expression equivalent to:

$\frac {-9x ^ {- 1} y ^ {- 9}} {- 15x ^ 5y ^ {- 3}}$

By definition of power properties we have:

$a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}$

Rewriting the previous expression we have:

The "-" are canceled and we take into account that:

$\frac {9} {15} = \frac {3} {5}$

So:

$\frac {3} {5x^5 * x ^ 1 *y ^ 9* y ^ {- 3}} =$

According to one of the properties of powers of the same base, we must put the same base and add the exponents:

$\frac {3} {5x ^ {5 + 1} * y ^ {9-3}} =\\\frac {3} {5x ^ 6 * y ^ 6}$

Answer:

$\frac {3} {5x ^ 6 * y ^ 6}$

Option B

3 0

3 years ago

Read 2 more answers

Can anyone help? It’s not 14, I’ll give Brainly + 15 pts

Julli [10]

Short side length = x

Medium side = x + 7

Long side = 5x

Total 49, so

x + x + 7 + 5x = 49

If you combine like terms:

7x + 7 = 49

Subtract 7 from both sides

7x = 42

Divide both sides by 7

x = 6 inches.

8 0

2 years ago

Enter the correct answer in the box. What is this expression in simplified form? <br> 3\sqrt{88}

Ugo [173]

Answer: $12\sqrt{5}$

Step-by-step explanation:

$3\sqrt{88}$

88 can be rewritten as 8 x 10 and 8 can be rewritten as $2^2*2$ making a 2 come out of the root.

$3\sqrt{2^2*2*10}\\ 3*2\sqrt{2*10}\\6\sqrt{2*10}$

10 can be rewritten as 2 x 5.

$6\sqrt{2*2*5}$

2*2 can also be rewritten as $2^2$ making a 2 come out of the root.

$6\sqrt{2^2*5}\\ 6*2\sqrt{5}\\ 12\sqrt{5}$

We can't keep simplifying the root.

4 0

3 years ago