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2 years ago

6

WILL MARK BRAINLIEST Imagine that you are plotting points on a coordinate plane. Each axis is labeled with integers from -5 to 5

. Explain how you would plot a point at the location (-2 1/2, -4). Write three to four sentences. NO LINKS OR FILES OR I WILL REPORT YOU. PLEASE MAKE YOU ANSWER SCHOOL APPROPRIATE AND PLEASE, DON'T ANSWER JUST FOR THE POINTS

1 answer:

Fudgin [204]2 years ago

7 0

Answer:

The coordinate of a point is its location on a grid.

The point will be located halfway between -2 and -3 on the x-axis, on -4 on the y-axis

The coordinate is given as:

Express as decimals

The above point means that:

This means that:

The point will be located halfway between -2 and -3 on the x-axis, on -4 on the y-axis

Step-by-step explanation:

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Find the vertex, the axis of symmetry, and the y-intercept of the graph.

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<u>Given</u>:

Given that the graph of the parabola.

We need to determine the vertex, the axis of symmetry and the y - intercept of the graph.

<u>Vertex:</u>

The vertex of the parabola is the point at which the parabola changes its direction.

From the graph, it is obvious that the parabola changes its direction at the point (-2,0)

Hence, the vertex of the graph is (-2,0)

<u>Axis of symmetry:</u>

The axis of symmetry is the line that divides the parabola exactly into two equal halves.

Hence, from the graph, it is obvious the line x = -2 divides the graph exactly into two equal halves.

Hence, the axis of symmetry is x = -2.

<u>y - intercept:</u>

The y - intercept of the parabola is the value of y when x = 0.

In other words, the y - intercept of the graph is the value of y when the line passes through the y - axis.

Thus, from the graph it is obvious that when x = 0, the value of y is -3.

Hence, the y - intercept of the graph is -3.

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3 years ago

Solve for x ! I need help

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Answer:

x = 47°

Step-by-step explanation:

This is an exterior angle property, one of the properties in a triangle. The exterior angle theorem states that if a triangle's side gets an extension, then the resultant exterior angle would be equal to the sum of the two opposite interior angles of the triangle.

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3 years ago

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What is the value of x?

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Since this is a parallelogram and the angles are adjacent to one another, a theorem will prove that the sum of these two angles would equal 180°

Therefore, we can set up this equation:

(2x + 24) + x = 180 ⇒ Remove parentheses

2x + 24 + x = 180 ⇒ Combine like terms

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3 years ago

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Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by

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Answer:

The dimension of the open rectangular box is $8.216\times 4.216\times 1.392$ .

The volume of the box is 8.217 cubic inches.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the open rectangular box ?

Solution :

Let the height be 'x'.

The length of the box is '11-2x'.

The breadth of the box is '7-2x'.

The volume of the box is $V=l\times b\times h$

$V=(11-2x)\times (7-2x)\times x$

$V=4x^3-36x^2+77x$

Derivate w.r.t x,

$V'(x)=4(3x^2)-2(36x)+77$

$V'(x)=12x^2-72x+77$

The critical point when V'(x)=0

$12x^2-72x+77=0$

Solve by quadratic formula,

$x=\frac{18+\sqrt{93}}{6},\frac{18-\sqrt{93}}{6}$

$x=4.607,1.392$

Derivate again w.r.t x,

$V''(x)=24x-72$

Now, $V''(4.607)=24(4.607)-72=38.568>0$ (+ve)

$V''(1.392)=24(1.392)-72=-38.592$ (-ve)

So, there is maximum at x=1.392.

The length of the box is $l=11-2x$

$l=11-2(1.392)=8.216$

The breadth of the box is $b=7-2x$

$b=7-2(1.392)=4.216$

The height of the box is h=1.392.

The dimension of the open rectangular box is $8.216\times 4.216\times 1.392$ .

The volume of the box is $V=l\times b\times h$

$V=8.216\times 4.216\times 1.392$

$V=48.217\ in.^3$

The volume of the box is 8.217 cubic inches.

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3 years ago

The mean survivial time after diagnosis for a certain disease is 15 years with a standard deviation of 5 years. Based on a parti

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Answer:

The time the patient expected to survive after diagnosis is 29 years.

Step-by-step explanation:

It is provided that the mean survival time after diagnosis for a certain disease is 15 years with a standard deviation of 5 years.

That is,

$\mu=15\\\sigma=5$

An individual's predicted survival time is <em>a</em> = 2.8 standard deviations beyond the mean.

Compute the time the patient expected to survive after diagnosis as follows:

$X=\mu+a\sigma$

$=15+(2.8\times 5)\\\\=15+14\\\\=29$

Thus, the time the patient expected to survive after diagnosis is 29 years.

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3 years ago