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3 years ago

What point located in quadrant I has an x-value that is 2 units from the origin and a y-value 7 units from the origin?

Mathematics

1 answer:

Lisa [10]3 years ago

4 0

Answer:

The point is P(2,7)

Step-by-step explanation:

We are given the following information in the question:

A point is located in the quadrant 1 in the following manner:

It has x-value that is 2 units from the origin.

It has a y-value 7 units from the origin.

Thus, the point is (2,7)

The attached image shows the marked point (2,7).

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Can somebody help me with this?

Natasha_Volkova [10]

Step-by-step explanation:

Hey there!

By looking through figure, l and m are parallel lines and a transversal line passes through the lines.

Now,

7x + 12° = 12x - 28°( alternate angles are equal)

12°+28° = 12x - 7x

40° = 5x

$x = \frac{40}{5}$

Therefore, x = 8°

Now,

12x - 28° + 9y - 77 = 180° ( being linear pair)

12×8° - 28° + 9y -77° = 180°

96° - 28° + 9y - 77° = 180°

-9 + 9y = 180°

9y = 180° + 9°

y = 189°/9

Therefore, y = 21°

Therefore, X = 8° and y= 21° .

Hope it helps....

4 0

3 years ago

If f(x) = x2, which of the following describes the graph of f(x - 1)? A. The graph of f(x - 1) is a horizontal shift of f(x) = x

pantera1 [17]

Answer:

Step-by-step explanation:

To understand this, we can look at the vertical & horizontal translations of a parabola of the form $f(x)=x^2$

A vertically translated parabola has the form $f(x)=x^2+k$ , where k is the vertical shift upward when k is positive and vertical shift downward when k is negative.
A horizontally translated parabola has the form $f(x)=(x-a)^2$ , where a is the horizontal shift rightward when a is positive and horizontal shift leftward when a is negative.

When we replace x of the original function with (x-1), we have $f(x)=(x-1)^2$ . According to the rules, this means that the original function is shifted 1 unit right (horizontal shift).

Correct answer is A.

4 0

3 years ago

Read 2 more answers

This is a problem involving absolute value |-3| - |-17| =

den301095 [7]

That means the same as 3-17 so the answer is -14

7 0

3 years ago

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Choose the best answer.

Reptile [31]

Answer: The answer is A

Step-by-step explanation: because 5x-30= -150 because I looked it up

8 0

3 years ago

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The diameter of a circle has length 12. The center is at*(-5, 2). Give the equation

labwork [276]

Answer:

Equation of the circle is : $x^{2} + 10x + y^{2} -4y -7 =0$

Step-by-step explanation:

Let us consider the image attached in the answer area.

The center O has the co-ordinates i.e. (-5,2) and the diameter given is 12 units.

We know that radius is half of diameter.

$\text{Radius = }\dfrac{\text{Diameter}}{2}$

$\text{Radius = }\dfrac{12}{2}\\\Rightarrow \text{Radius = 6units}$

The equation for circle given the center and radius, can be represented as:

$(x-a)^{2}+ (y-b)^{2} = r^{2}$

Where (a,b) is the co-ordinate of center and r is the radius.

Let us consider the following formula:

$(p+q)^2 = p^{2}+ q^{2} +2pq\\(p-q)^2 = p^{2}+ q^{2} -2pq$

$(x-(-5))^{2}+ (y-2)^{2} = 6^{2}\\\Rightarrow (x+5)^{2}+ (y-2)^{2} = 36\\\Rightarrow x^{2} + 25 + 10x +y^{2} + 4-4y=36\\\Rightarrow x^{2} + 10x +y^{2} -4y-7=0$

Hence, Equation of the circle is : $x^{2} + 10x + y^{2} -4y -7 =0$

4 0

2 years ago