Suppose a triangle has sides 3 4 and 5, which of the following must be true

Answers

Answer 1
Answer: You haven't given any options to select. 
However, if this is the way of values we can check pythagoras theorem .

5^2 = 25

3^2 + 4^2
9 + 16
25

25 = 25

therefore we can say it is the right angle triangle

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If two congruent angles form a linear pair, then __________.A.
one angle is acute and the other angle is obtuse
B.
they are both right angles
C.
they are both acute angles
D.
they are both obtuse angles

Answers

The correct answer is option B. If two congruent angles form a linear pair, then they are both right angles. Two figures are said to be congruent when they have the same shape and size or if one object is a mirror image of the other object.

Cindy did an experiment. She started out with 600 bacteria cells. She found that the growth rate of the bacteria cells was 4.1%. Create an equation for the situation that would work for any time, x. Pls Help thx

Answers

Answer: P(t) = 600*(1.041)^t.

Step-by-step explanation:

An exponential growth can be written as:

P(t) = A*(1 + r)^t

Where:

A =  initial population = 600

r = rate of growth in decimals = 4.1%/100% = 0.041.

t = number of units of time.

Now we have a problem, we know that the growth rate is 4.1 %, but we do not know in which time units are we working.

Because is not the same if the bacteria grows a 4.1% in one day, than if the bacteria grows a 4.1% in a hour.

But that does not matter for the actual equation, because we can just define "t" as the time (like the question asks) and the equation will be:

P(t) = 600*(1 + 0.041)^t

P(t) = 600*(1.041)^t.

What is the range of the function f(x) = -2x + 5 when the domain is {-5, 5}.

Answers

Answer:

{-5,15}

Step-by-step explanation:

because this function is constantly decreasing, we can get our range by looking at the endpoints:

f(-5) = 15

f(5) = -5

Janene is solving the equation log3x324=2. Which exponential equation can she use to solve the problem?A. 324^2=3x
B. 334^x=2/3
C. (3x)^2=324
D. 3x^2=324

Answers

Answer:

Option C: (3*x)^2 = 324

Step-by-step explanation:

Janene is solving the equation:

Log₃ₓ(324) = 2

First, some rules we need to remember:

Logₙ(x) = Ln(x)/Ln(n)

and:

Ln(x^b) = b*Ln(x)

So we can rewrite our expression as:

Log₃ₓ(324) = Ln(324)/Ln(3*x) = 2

Ln(324) = 2*Ln(3*x)

Now we can use the second property:

Ln(324) = 2*Ln(3*x) = Ln( (3*x)^2 )

The arguments in both sides must be the same thing, then:

324 = (3*x)^2

This is the exponential equation she needs to solve.

Then the correct option is C.

(2Q) Simply the expression.

Answers

ANSWER

d.

(1)/(7)

EXPLANATION

We want to simplify

{10}^{ log( (1)/(7) ) }

Recall that the common logarithm has a base of 10.

This implies that,

{10}^{ log( (1)/(7) ) }  = {10}^{ log_(10)( (1)/(7) ) }

Recall again that:

{p}^{ log_(p)(q) }  = q

Therefore,

{10}^{ log( (1)/(7) ) }  = {10}^{ log_(10)( (1)/(7) ) }  =  (1)/(7)

Answer:

no simplify. answer is:

b. log(1/7)

Which of the following demonstrates the Distributive Property?4(2a + 3) = 8a + 3
4(2a + 3) = 2a + 12
4(2a + 3) = 6a + 7
4(2a + 3) = 8a + 12

Answers

We want to see which one of the given expressions demonstrates the distributive property.

The correct option is the last one:

4*(2a + 3) = 8a + 12

The first thing we need to do is define the distributive property. It can be written as:

A*(B + C) = A*B + A*C

Now let's apply this to the given expression:

4*(2a + 3) = 4*(2a) + 4*3 = 8a + 12

Then we have:

4*(2a + 3) = 8a + 12

This is what we can see in the fourth option, then the correct option is the fourth one (counting from the top):

4*(2a + 3) = 8a + 12

If you want to learn more, you can read:

brainly.com/question/5637942

4(2a+3) = 8a+ 12 This represents the distribution property because it multiplies everything in the parentheses. 4 X 2a = 8a 4X3=12