Can you please solve the question in the box

Answers

Answer 1

Answer: Hello,

The miminum distance in y-direction betheen the line(above) and the curve may be found like this:

we trace the parallele of the line as tangente à the curve:

-2 is the slope of the tangente if

f'(n)=-2n+5=-2
==>2n=7
==>n=7/2
The distance is -2*7/2+15 -(-(7/2)²+5*7/2)=-7+15-(-49/4+70/4)
=8-21/4=11/4=2.75

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I am looking for the square root of 5184 Thanks.

Which of these is a simplified form of the equation 7y + 8 = 9 + 3y + 2y?7y = 6
2y = 1
12y = 17
5y = 17

Answers

put same forms to each sides
7y -5y = 9 - 8
2y = 1

Answer:

2y=1

Step-by-step explanation:

7y + 8 = 9 + 3y + 2y

WE need to simplify it, try to get variable on one side and constant on the other side

7y + 8 = 9 + 3y + 2y

first we combine like terms

3y+2y is 5y

7y + 8 = 9 + 5y

Now to get y terms on one side we subtract 5y from both sides

7y -5y + 8 = 9 + 5y-5y

2y +8 = 9

Now we subtract 8 from both sides

2y +8 -8 = 9-8

2y= 1

If the hypotenuse of a right triangle is 6m and one side is 4m, what is the length of the other side?

Answers

Use the Pythagorean Theorem: a^2 + b^2 = c^2
a and b are the measures of the legs and c is the measure of the hypotenuse

Let's solve for a (the length of the other leg)
*I am hoping that m is not a variable and just an abbreviation for meters*
b = 4 m
c = 6 m

a^2 + 4^2 = 6^2
a^2 + 16 = 36
a^2 = 20
a = $√(20)$
after simplifying...
a = $2 √(5)$ m

Larisa buys 5 hats for $9.99 each. how much does she spend

Answers

If you would like to know how much money does Larisa spend on the hats, you can calculate this using the following steps:

5 hats * $9.99 = 5 * 9.99 = $49.95

The correct result would be $49.95.

5 × $9.99 = $49.95 spent Larisa.

4. Using the given information, which lines, if any, can you conclude are parallel? Justify your conclusion with a theorem or postulate. Angle 1 is supplementary to angle 4. 9/11 v 1/5 2/6 10/12 b A 3/7 4 8 1 O || m by Converse of the Corresponding Angles postulate Oa || b by Converse of the Corresponding Angles Postulate Ollm by Converse of the Same-Side Exterior Angles Theorem Oa || b by Converse of the Same-Side Exterior Angles Theorem

Answers

Answer:

Option (4)

Step-by-step explanation:

It has been given in the question that angle 1 is supplementary to angle 4.

m∠1 + m∠4 = 180°

∠2 and ∠3 are the interior consecutive angles.

Since, same side of the theorem says "Exterior angles formed on the same side of the parallel lines and the transversal line are supplementary".

Therefore, by converse of the same side Exterior angles theorem 'a' and 'b' will be parallel.

Option (4) will be the answer.

Final answer:

Given that Angle 1 and Angle 4 are supplementary, no lines can be concluded to be parallel as according to the Converse of the Corresponding Angles Postulate, the angles need to be congruent (equal), not supplementary, to infer parallel lines.

Explanation:

From the given information, it is mentioned that Angle 1 is supplementary to Angle 4. In geometry, supplementary angles are two angles that add up to 180 degrees. By the converse of the corresponding angles postulate, if two lines are cut by a transversal and the corresponding angles are congruent, then the lines are parallel.

In the context of your question, since the angles given are supplementary, they add up to 180 degrees and hence are not congruent. This implies, according to the corresponding angles postulate, that no lines can be concluded to be parallel based on the provided information. This is because the postulate only holds for congruent (equal), not supplementary angles.