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3 years ago

What is the missing justification in the proof?

Mathematics

2 answers:

nataly862011 [7]3 years ago

7 0

The missing justification in the proof is
B) Substitution property of equality

The expression for sin² x and cos² x is substituted to the other side of the equation. Since sin x = a/c, then sin² x = a²/c². Similarly, since cos x = b/c, then cos² x = b²/c². Adding to two results to the third statement.

Elenna [48]3 years ago

5 0

The correct answer is:

B) Substitution property of equality

Explanation:

sin²x and cos²x have been added together, making

sin²x + cos²x.

Since we know that sin x = a/c, this means that sin²x = (a/c)² = a²/c².

Since we know that cos x = b/c, this means that cos²x = (b/c)² = b²/c².

These two values have been substituted for sin²x + cos²x, making

a²/c² + b²/c².

Since we substituted, this means it is the substitution property of equality.

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13x−2= − 10 x − 2 −10x−2

Misha Larkins [42]

Answer:

x=0

Step-by-step explanation:

13x-2 = 10x-2

Subtract 10x from each side

13x-10x-2 = 10x-2 -10x

3x-2 = -2

Add 2 for each side

3x-2+2 = -2+2

3x= 0

divide by 3

3x/3 = 0/3

x =0

3 0

3 years ago

PLEASE HELP 20 POINTS IF YOU HELP AND WILL BE MRAKED BRAINLEST!!!!!!!!!!!!!!!!The two-way table below shows the number of studen

Yuliya22 [10]

Your answer is the last option, 6.

We can work this out by looking for the total of people that like tennis in the table, and subtracting it from the total amount of people that like baseball.

This gives us a total of 46 people that like baseball, subtract 40 people that like tennis, and 46 - 40 = 6.

I hope this helps!

3 0

3 years ago

Amelia rented a DVD and it was due to be returned on 26 Nov. She actually returned it to the shop on 12 Dec. The rental shop app

svet-max [94.6K]

Answer:

144 (pounds? euros? idk what currency it is)

Step-by-step explanation:

there are 16 day between the date. 16 x 9 = 144

6 1

3 years ago

Read 2 more answers

What is the solution to sqrt 17-x=x+3? Show your work.

snow_lady [41]

Answer:

$x=1$

Step-by-step explanation:

Remember:

$(\sqrt[n]{a})^n=a\\\\(a+b)=a^2+2ab+b^2$

Given the equation $\sqrt{17-x}=x+3$ , you need to solve for the variable "x" to find its value.

You need to square both sides of the equation:

$(\sqrt{17-x})^2=(x+3)^2$

$17-x=(x+3)^2$

Simplifying, you get:

$17-x=x^2+2(x)(3)+3^2\\\\17-x=x^2+6x+9\\\\x^2+6x+9+x-17=0\\\\x^2+7x-8=0$

Factor the quadratic equation. Find two numbers whose sum be 7 and whose product be -8. These are: -1 and 8:

$(x-1)(x+8)=0$

Then:

$x_1=1\\x_2=-8$

Let's check if the first solution is correct:

$\sqrt{17-(1)}=(1)+3$

$4=4$ (It checks)

Let's check if the second solution is correct:

$\sqrt{17-(-8)}=(-8)+3$

$5\neq-5$ (It does not checks)

Therefore, the solution is:

$x=1$

3 0

3 years ago

100 is divisible by which of the following numbers 2,3,4,5,6,9 or 10?

pochemuha

The correct answer is B: 2,4,5, 10

We know that 100 is not divisible by 3 because 100/3 is 33.33 repeating, which is an irrational number.

We also know that 100 is not divisible by 6 because 100/6 is 16.66 repeating which is also an irrational number.

100/2=50 (rational)
100/4=25 (rational)
100/5=20 (rational)
100/10=20 (rational)

Hope this helps!

6 0

3 years ago