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3 years ago

5^2+b^2=13^2 steps to solve

Mathematics

2 answers:

Ket [755]3 years ago

4 0

Answer:

b=12 or b=−12

Step-by-step explanation:

Mrrafil [7]3 years ago

4 0

Answer:

Raise 5 to the power of 2.

25+b^2=132

Raise 13 to the power of 2.

25+b^2=169

Move all terms not containing b to the right side of the equation.

b^2=144

Take the square root of both sides of the equation to eliminate the exponent on the left side.

b=±√144

The complete solution is the result of both the positive and negative portions of the solution.

b=12,−12

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Solve the System of Equations

soldi70 [24.7K]

Answer:

Equations: $x+y=80\,,\,2x+4y=216\,\,$

number of chickens = 52

number of goats = 28

Step-by-step explanation:

Given: A small ranch has chickens and goats

Total number of heads = 80

Total number of legs = 216

To find: number of chickens and goats

To draw: the graph

Solution:

Let x denotes number of chickens and y denotes number of goats.

According to the question,

$x+y=80\,\,(i)\\2x+4y=216\,\,(ii)$

From (i), put $x=80-y$ in (ii)

$2(80-y)+4y=216\\160-2y+4y=216\\2y=216-180\\2y=56\\y=\frac{56}{2}=28$

Put $y=28$ in equation (i)

$x+28=80\\x=80-28=52$

So,

number of chickens = 52

number of goats = 28

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3 years ago

A random variable x takes four possible values, 0, 2, a, and b, where a and b are unknown numbers. if pr[x = 0] = 0.2, pr[x=2] =

Alexus [3.1K]

$\displaystyle\sum_{x\in\{0,2,a,b\}}\mathbb P(X=x)=1$
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$0\mathbb P(X=0)+2\mathbb P(X=2)+a\mathbb P(X=a)+b\mathbb P(X=b)=2.8$
$0.8+0.3a+0.1b=2.8$
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3 years ago

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spayn [35]

Answer:- A.The independent variable is the input variable and should be represented by the x-axis.

Explanation:-

A. Correct.

B. Not correct.

Reason:- The independent variable is the input variable and should be represented by the x-axis.

C. Not correct.

Reason:- The dependent variable is the output variable and should be represented by y-axis.

D. Not correct.

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3 years ago

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If f(x) = 4x + k and f (2) = f (1), then calculate the value of K.

andrezito [222]

Answer:

-7

Step-by-step explanation:

given f(x)=4x+k

therfore, f(2)=4*2+k

we know that f(2) =1

so, 4*2+k=1

8+k=1

k=1-8

k=-7

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3 years ago