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3 years ago

Please help solve this question been stuck for a while

Mathematics

1 answer:

damaskus [11]3 years ago

6 0

Answer:

7.7

Step-by-step explanation:

To find the intersection points of the line and the circle we have to set up a system with their equations and solve. The system would look like this:

$\left \{ {{x=1 } \atop {x^2+y^2=16}} \right.$

To solve, substitute 1 for x in the second equation to get:

$1^2+y^2=16$

Solving, we get:

$y=\sqrt{15}, y=-\sqrt{15}$

Therefore, the two points of intersection are $(1,\sqrt{15} )$ and $(1,-\sqrt{15})$ . The distance between these two points (the length of the chord in the circle) is $2\sqrt{15}$ which is 7.745966692414... which is 7.7 rounded to the nearest tenth.

Hope this helps :)

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The ratio of the width to the length of a rectangle is 1:3. Which of the following ratios represents a rectangle with:______.

fenix001 [56]

The question is incomplete. Here is the complete question

The ratio of the width to the length of a rectangle is 1:3. Which of the following ratios represents a rectangle with this same ratio?

Answer:

21:63

Step-by-step explanation:

The ratio of the width to the rectangle is 1:3

= 1/3

= 0.333333

From the options given we have the following ratios

=5:7

= 5/7

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3 years ago

An item that was selling for $80 is reduced to $42. Find the percent decrease in

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Answer:

47.5%

Step-by-step explanation:

You have to first subtract 80 and 42 to find the decrease first. This is 38. Now, you have to divide this by the original number which is 80. So 38 divided by 80 is 0.475.

Now multiply this by 100.

You can easily move the decimal point to the right.

So you would get 47.5%

Hope this helped!

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4 years ago

The graph of the quadratic function y=-x^2-2x+3 is shown below

Karolina [17]

Answer:

The axis of symmetry is at $x=-1$

The graph has an x-intercept at $(1,0)$

The graph has a vertex at $(-1,4)$

Step-by-step explanation:

we have

$y=-x^{2}-2x+3$

Statements

case 1) The graph has root at $3$ and $1$

The statement is False

Because, the roots of the quadratic equation are the values of x when the value of y is equal to zero (x-intercepts)

Observing the graph, the roots are at $-3$ and $1$

case 2) The axis of symmetry is at $x=-1$

The statement is True

Observing the graph, the vertex is the point $(-1,4)$

The axis of symmetry in a vertical parabola is equal to the x-coordinate of the vertex

the equation of the axis of symmetry is $x=-1$

case 3) The graph has an x-intercept at $(1,0)$

The statement is True

see procedure case 1)

case 4) The graph has an y-intercept at $(-3,0)$

The statement is False

Because, the y-intercept is the value of y when the value of x is equal to zero

Observing the graph, the y-intercept is the point $(0,3)$

case 5) The graph has a relative minimum at $(-1,4)$

The statement is False

Because, is a vertical parabola open downward, therefore the vertex is a maximum

The point $(-1,4)$ represent the vertex of the parabola, so is a maximum

case 6) The graph has a vertex at $(-1,4)$

The statement is True

see the procedure case 5)

see the attached figure to better understand the problem

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3 years ago

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erica [24]

Answer:

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Step-by-step explanation:

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Difference in the volume of paint and volume of tray in cubic inches is

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Damari is constructing an equilateral triangle inscribed in a circle and has gotten this far. What is his next step?

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Step-by-step explanation:

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Please help solve this question been stuck for a while​

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