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Gala2k [10]
3 years ago
8

Find a counterexample to show each conjecture is false​

Mathematics
1 answer:
ANEK [815]3 years ago
7 0

Answer:

I am 85.9% sure the answer is number 15.

Step-by-step explanation:

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I'm not sure how to figure this out
Bad White [126]

9514 1404 393

Answer:

  10°, 80°

Step-by-step explanation:

<em><u>Setup</u></em>

Let x and y represent the measures of the two acute angles in the right triangle.

From your knowledge of right triangles, you know the two acute angles are complementary:

  x + y = 90

The problem statement gives you another relation:

  x = 2(y + 30) . . . . twice the sum ...

__

<em><u>Solution</u></em>

The second equation gives you an expression for x that can be substituted into the first equation.

  (2(y +30)) + y = 90

  3y +60 = 90 . . . . . . . . collect terms

  3y = 30 . . . . . . . . . subtract 60

  y = 10 . . . . . . . . divide by 3

  x = 2(y +30) = 2(40) = 80

The two angles are 10° and 80°.

6 0
2 years ago
A particle is moving along the curve y= 4sqrt(5x+11) . As the particle passes through the point (5,24) , its -coordinate increas
kupik [55]

The rate of change of the distance from the particle to the origin at this instant is 3 units per second.

<h3>What is the rate of change?</h3>

The instantaneous rate of change is the rate of change at a particular instant.

A particle is moving along the curve

y= 4\sqrt{5x+11} .

The rate of change of y is given as:

dy / dx = 2

by differentiating both sides,

\dfrac{dy}{dx} = 4\dfrac{1}{2\sqrt{5x+11} }  5\dfrac{dx}{dt} \\\\\dfrac{dy}{dx} = \dfrac{10}{\sqrt{5x+11} }\dfrac{dx}{dt}\\\\

From the question, we have:

(x, y) =  (5,24)

Substitute 5 for x and dy / dx = 2

\dfrac{dy}{dx} = \dfrac{10}{\sqrt{5x+11} }\dfrac{dx}{dt}\\\\\\5= \dfrac{10}{\sqrt{5(5)+11} }\dfrac{dx}{dt}\\\\\\\sqrt{5(5)+11} = 2\dfrac{dx}{dt}\\\\\\\dfrac{dx}{dt} = 6/ 2 = 3

Hence, the rate of change of the distance from the particle to the origin at this instant is 3 units per second.

Read more about rates of change at:

brainly.com/question/13103052

#SPJ1

8 0
2 years ago
Which item has the lowest unit price
Reika [66]

Answer:

The Lowest Unit price is 1.5 liters at $2.70. It dosent mean what your buying is the best quality but its still the lowest unit price

8 0
3 years ago
Triangle ABC is translated left 1 units, and dilated by a scale factor of 2.
valina [46]

Answer:

Step-by-step explanation:

( x , y ) ----> ( x - 1 , y ) ------> ( 2(x-1) , 2y ) = <em>( 2x - 2 , 2y )</em>

5 0
3 years ago
Help pleaseeeee it’s urgent!!!
Ad libitum [116K]

Answer:

(2,-7)

Step-by-step explanation:

Use the midpoint formula! (Attached is a picture of it!)

1) Plug in the values:

(5-1)/2,(-6+-8)/2

2) Simplify:

4/2,-14/2

3) Solve:

(2,-7)

6 0
3 years ago
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