1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anika [276]
3 years ago
15

EDAL!!!!!!!!!!!! What is the missing justification in the proof of the Pythagorean identity below, sin^2(x)+cos^2(x)=1, using a

right triangle? A. Transitive property of equality B. Substitution property of equality C. Reflexive property of equality D. Symmetric property equality
Mathematics
1 answer:
Novay_Z [31]3 years ago
3 0
You have to jusitfy the step that leads from sin (x) = a/c and cos(x) = b/c to sin^2 (x) + cos^2(x) = [a^2 / c^2] + [b^2 / c^2].


As you can see go from the first statement to the second by substituting the value of sin(x) by a/x and the value of cos(x) by b/c.


Then, the answer is the option b. substitution property of equality.

 
You might be interested in
A fuel is purified by passing it through a clay pipe. Each foot of the clay pipe removes a fixed percentage of impurities in the
creativ13 [48]
The amount of pollutants.
8 0
3 years ago
Which region represents the solution to the given system of inequalities?
Phoenix [80]

Answer: The intersection region shown in the graph attached is the solution of the system of inequalities.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

 Given the following system of inequalities:

\left \{ {{x+3y\leq-3 } \atop {x\geq3 }} \right.

We need to graph the lines.

We have the line:

x+3y=-3

Solving for "y", we get:

3y=-x-3\\\\y=\frac{1}{3}x-1

Knowing that m=-\frac{1}{3} and b=-1, we can graph it.

Since the symbol is \leq, the line must be solid.

The other line is:

x=3

Since "x" only takes one value, we can identify that it is a vertical line, so we can graph it.

Since the symbol is \geq, the line must be solid.

We need to substitute a point that is not on the line, into each inequalities. Let's choose the point (0,0).

Then:

0+3(0)\leq-3\\\\0\leq-3

This is false, therefore, we must shade the half that does not contain this point.

0\geq 3

This is false, so we must shade the half that does not contain this point.

The intersection region of the solutions (Observe the graph attached) of the given inequalities is the solution of the system of inequalities.

8 0
3 years ago
Read 2 more answers
Mary has an equal number of dimes and quarters. If she has $2.10 in all, how many coins of each does she have?
77julia77 [94]

Answer:

Step-by-step explanation:

4 quarters

1 dime

6 0
2 years ago
PLEASE HURYYYY <br>Solve the inequality.<br><br>−2 &lt;m – 7
soldi70 [24.7K]
Here you go, hope it helps:)

6 0
3 years ago
Read 2 more answers
Meaghan and Lily are dividing 43.61 by 7. Meaghan says that the first digit of the quotient is in the ones place. Lily says it i
Ivahew [28]

Answer: Meaghan is right.

Step-by-step explanation:

For a number like:

123.45

the tens place would be the "2" (second number at the left of the decimal point)

The ones place would be the "3" (first number at the left of the decimal point)

Let's suppose that Lily is correct.

Then the quotient of:

43.61/7

Will be a number with two digits in the left of the decimal point.

The smallest number that meets this condition, is the number 10.

Then let's see:

7*10 = 70

then:

70/7 = 10

and:

43.61 < 70

(70 is larger than 43.61)

then:

43.61/7 < 70/7 = 10

Then:

(43.61/7) < 10

This means that our quotient is smaller than 10, then the first digit of the quotient can not be on the tens place.

Then Meaghan is the correct one.

We also could perform the quotient to find:

43.61/7 = 6.23

So yes, Meaghan is correct.

5 0
2 years ago
Other questions:
  • Line JK passes through points J(–4, –5) and K(–6, 3). If the equation of the line is written in slope-intercept form, y = mx + b
    14·2 answers
  • Solve the nonhomogeneous differential equation y′′+6y′−16y=e5x. Find the most general solution to the associated homogeneous dif
    13·1 answer
  • 1 1/2 cups | 2 1/4 cups | 3 cups | 3 3/4 cups | 4 1/2 cups |
    14·2 answers
  • Each base of a triangular prism is a right triangle with side lengths 3 inches, 4 inches, and 5 inches. The height of the prism
    10·1 answer
  • Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approxi
    10·2 answers
  • Divide. If the divisor contains 2 or more terms, use long division.
    13·1 answer
  • Find the total service area of this cone. leave your answer in terms of pi. <br> r=10in h=24in
    15·1 answer
  • Susan, Deon, and Felipe sent a total of 160 text messages during the weekend. Felipe sent 4 times as many messages as Susan. Deo
    6·1 answer
  • Marta has 8 yellow ribbons and 2 blue ribbons.how many more yellow ribbons than blue ribbons does marta have
    9·2 answers
  • Solve: −4b+4b≥6(−5b+7)−3(b+3)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!