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Andrew [12]
3 years ago
13

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

Download pptx
6 0
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
\mathbb P(X=0)+\mathbb P(X=2)+\mathbb P(X=a)+\mathbb P(X=b)=1
0.2+0.4+0.3+\mathbb P(X=b)=1
\implies\mathbb P(X=b)=0.1

\mathbb E(X)=\displaystyle\sum_{x\in\{0,2,a,b\}}x\mathbb P(X=x)=2.8
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
0.3a+0.1b=2

a+b=6\implies0.3a+0.1b=0.2a+0.1(6)=2
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7 0
3 years ago
Which statement is correct when a scatterplot is constructed? A.The independent variable is the input variable and should be rep
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.

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

C. Not correct.

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

D. Not correct.

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


6 0
3 years ago
Yesterday's afternoon temperature was 21°F. It plunged overnight to -3°F. How many degrees did the temperature drop? A) 3° B) 18
LiRa [457]

Answer: B) 18° C

Step-by-step explanation:

21+(-3) = 21 - 3

            = 18

7 0
3 years ago
Read 2 more answers
If f(x) = 4x + k and f (2) = f (1), then calculate the value<br>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

8 0
3 years ago
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