Geometry Question Number 16
Geometry Question Number 16 - 1

Answers

Answer 1
Answer:

Answer:

No, the friend is not correct.

Step-by-step explanation:

The friend is not correct because let's call the three lines line A, line B, and line C. The line intersection says that if two lines intersect, then there will be one point of intersection. Therefore, we have to count all pairs of lines between line A, B, and C. Lines A and B can intersect, lines B and C can intersect, and lines A and C can intersect. Therefore there will be 3 lines of intersection, not 2.


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If log(x+3)-log(x-5)=log2What is the value of x?

Please answer with explanation and process

Answers

We use log(x) - log(y) = log(x/y) and log(x) = log(y) ⇔ x = y

\displaystyle\log(x+3) - \log(x-5) = \log 2 \implies \log\left( (x+3)/(x-5) \right) = \log 2 \implies \n \n (x+3)/(x-5)  = 2 \impliesx+3 = 2(x-5) \n \nx = 13

Anna said that the product of 7/8 ⋅ 1 1/2 =7/2. How can you tell that her answer is wrong/

Answers

Answer:

The answer is 77/16, but you can go much dipper if you want. By just simplify 77/16, in 4×13/16. And the final result will be 4.8125. Please if you find it helpful give me a like and rate me.

Answer:

it's 77/16  and just say Anna's answer is wrong.

Please help meeee, its due today

Answers

Answer:

The answer is X∈∅

Step-by-step explanation: {=

x=3\atop {x=-12}} \right.

Given: 44 - 2(3x + 4) = -18Prove: x = 9

Answers

Substitute 9 as x in the given function:
44-2(3(9)+4)=-18
Now check and see if the statement it true and simplify.
44-2(27+4)=-18
44-2(31)=-18
44-62=-18
-18=-18
You can see this is true !!
Show my work to answer this question .

When are the expressions 5(p + 4) and 5p + 20 equivalent?

Answers

Answer:

yes they are equal

Step-by-step explanation:

5(p+4) when it is distributed it equals 5p+20 which equals to 5p+20

Final answer:

The expressions 5(p + 4) and 5p + 20 are equivalent at all times due to the distributive property of multiplication over addition in mathematics. These two expressions are the same, and their equivalence doesn't depend on the value of 'p'.

Explanation:

The expressions 5(p + 4) and 5p + 20 are equivalent at all times. This is due to the distributive property of multiplication over addition in mathematics.

This means that when you have an expression like 5(p + 4), you multiply each quantity inside the parentheses by the number outside, which gives you 5p + 20.

So these two expressions are actually the same and are equivalent no matter what the value of p is.

Learn more about Distributive Property here:

brainly.com/question/37341329

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You are fencing in a rectangular area of a garden you have only 150 feet of fence do you want the length of the garden to be at least 40 feet you want the width of the garden to be at least 5 feet what is a graph showing the possible dimensions your garden could have? What vegetables will you use? What will they represent? How many inequalities do you need to write?

Answers

Answer:

Length ≥ 40

Width ≥ 5

Perimeter = 2 × (Length + Width)

2 × (Length + Width) ≤ 150

Step-by-step explanation:

To create a graph showing the possible dimensions of the garden, we need to plot the length and width of the rectangular area on the x and y axes, respectively. Since we want the length to be at least 40 feet and the width to be at least 5 feet, we can represent these constraints by the following inequalities:

Length ≥ 40

Width ≥ 5

We also know that the total length of fencing available is 150 feet, which means that the perimeter of the rectangular area must be less than or equal to 150 feet. The perimeter of a rectangle is given by:

Perimeter = 2 × (Length + Width)

So, we can write the inequality representing the perimeter as:

2 × (Length + Width) ≤ 150

To graph the possible dimensions of the garden, we can plot the points that satisfy all three inequalities on the x-y plane.

Regarding the vegetables, it is not clear what vegetables the user would like to plant in the garden. As such, we cannot provide a specific answer to this question.

In summary, we need to write three inequalities to represent the constraints in the problem, and we can graph the solution space using these inequalities.