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3 years ago

If a = b and b = c, which statement must be true? A. a=c B. c = c.-a=c D. -a = -6

Mathematics

2 answers:

Sindrei [870]3 years ago

8 0

The answer is d -a = -6

nexus9112 [7]3 years ago

7 0

This is an example of the transitive rule, which states that if a = b and b = c, then a = c. Therefore, statement A is true.

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Help pls ill give extra points

Sergeu [11.5K]

I believe it is positive so option 2

7 0

2 years ago

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I will either mark the best or the first brainliest.

Cloud [144]

Y is the output and x is the input. The given statement is output is 11 more than the output (x) so the function rule is y=x+11

3 0

2 years ago

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Math

marishachu [46]

Answer:0.4375

Step-by-step explanation:

To solve the problem, we start by labeling 1/2 of 7/8 like this:

N1/D1 of N2/D2

Then we use this fraction of a fraction formula to solve the problem:

(N1 x N2) / (D1 x D2)

When we enter 1/2 of 7/8 into the formula, we get:

(1 x 7) / (2 x 8) = 7/16

Therefore, the answer to 1/2 of 7/8 in its lowest form is:

1/2 of 7/8 = 7/16

5 0

2 years ago

Ann is adding water to a swimming pool at a constant rate. The table below shows the amount of water in the pool after different

N76 [4]

Answer:

(a) As time increases, the amount of water in the pool increases.

11 gallons per minute

(b) 65 gallons

Step-by-step explanation:

From inspection of the table, we can see that as time increases, the amount of water in the pool increases.

We are told that Ann adds water at a constant rate. Therefore, this can be modeled as a linear function.

The rate at which the water is increasing is the rate of change (which is also the slope of a linear function).

Choose 2 ordered pairs from the table:

$\textsf{let}\:(x_1,y_1)=(8, 153)$

$\textsf{let}\:(x_2,y_2)=(12,197)$

Input these into the slope formula:

$\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{197-153}{12-8}=\dfrac{44}{4}=11$

Therefore, the rate at which the water in the pool is increasing is:

11 gallons per minute

To find the amount of water that was already in the pool when Ann started adding water, we need to create a linear equation using the found slope and one of the ordered pairs with the point-slope formula:

$y-y_1=m(x-x_1)$

$\implies y-153=11(x-8)$

$\implies y-153=11x-88$

$\implies y=11x-88+153$

$\implies y=11x+65$

When Ann had added no water, x = 0. Therefore,

$y=11(0)+65$

$y=65$

So there was 65 gallons of water in the pool before Ann starting adding water.

3 0

2 years ago

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Please help me to prove this.

Vanyuwa [196]

<h3>Answer :</h3>

For triangle : A + B + C = π

⇒ A + B = π - C

⇒ cot(A + B) = cot(π - C)

⇒ $\sf\dfrac{cotA\:cotB-1}{cotB+cotA}=-cotA$

⇒ $\bf{cotA\:cotB+cotB\:cotC+cotC\:cotA=1}$

Now 1st part of the given expression!

⇒ $\sf\dfrac{cosA}{sinB\:sinC}$

⇒ $\sf\dfrac{cos(\pi-(B+C))}{sinB\:sinC}$

⇒ $\sf\dfrac{-cosB\:cosC+sinB\:sinC}{sinB\:sinC}$

⇒ 1 - cotB cotC

Similarly 2nd part!

⇒ 1 - cotA cotB

Similarly 3rd part!

⇒ 1 - cotC cotA

LHS :

$\circ\:\sf{3-(cotA\:cotB+cotB\:cotC+cotC\:cotA)}$

$\circ\:\sf{3-1}$

$\circ\:\bf{2}$ = RHS

<h3>Hence Proved!!</h3>

8 0

2 years ago

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