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tiny-mole [99]
3 years ago
14

On the cordinate plane what is the distance between the ponts -4,6 and 9,6

Mathematics
1 answer:
mariarad [96]3 years ago
5 0

Answer:

<h2>13</h2>

Step-by-step explanation:

METHOD 1:

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substitute the coordinates of the given points (-4, 6) and (9, 6):

d=\sqrt{(9-(-4))^2+(6-6)^2}=\sqrt{(9+4)^2+0^2}=\sqrt{13^2}=13

METHOD 2:

We can see that the second coordinates of the points (ordinate) are the same. Therefore, they lie on a horizontal line. The distance between them is the distance between the x coordinates (abscissa).

The formula of a distance between two numbers:

d=|b-a|

We have

a=-4,\ b=9

Substitute:

d=|9-(-4)|=|9+4|=|13|=13

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Which is the interval notation represent the domain?
Kazeer [188]

Answer:

The first choice, (-\infty, 7) \cup (7, \infty).

Step-by-step explanation:

The dashed vertical line is a vertical asymptote. The x-coordinate of all points on this vertical asymptote are equal to 7. In other words, when the x-value of a point on the graph approaches 7, its y-value approaches infinity (or negative infinity.)

Either way, the graph is not defined for x = 7. The point 7 should thus be excluded from the domain of the graph.

The graph is apparently defined for all other x-values. The domain of the function should thus be all real numbers with the exception of x = 7. Here's how to write that in interval notation:

  • The set of all real numbers can be expressed as the interval (-\infty, \infty). Note that infinity \infty (or (- \infty) itself isn't a real number. The round brackets indicate that both endpoints are excluded from the from the interval.
  • The set of all real numbers less than (not equal to) 7 is (-\infty,7 ) (both ends are excluded.) The set of all real numbers greater than (not equal to) 7 is (7, \infty).
  • The set of all real numbers that is not equal to 7 is the union of all real numbers less than 7 and all real numbers greater than 7. The union operator \cup connects two intervals.

In other words, the domain is (-\infty, 7) \cup (7, \infty).

5 0
3 years ago
Paula used these steps to solve an equation:
Nookie1986 [14]

Answer:

steps 4 and 5

Step-by-step explanation:

When we look at example, we can see that we have :

-6r=57

So we divide by -6 and we got

r=-\frac{57}{6}

So, our final answer is steps 4 and 5

5 0
3 years ago
Help plz im SUPER tired thx If the side lengths of a cube are 14 feet, what is the correct way to write the expression to repres
Aleksandr-060686 [28]

Answer:

14 times 14 times 14

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Please help if u know
aivan3 [116]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
Can someone help me figure out the answer?
olga_2 [115]

Answer:

y = -2x +15

Step-by-step explanation:

The point-slope form of the equation for a line through (h, k) with slope m is ...

... y - k = m(x - h)

For your point (h, k) = (5, 5) and slope m = -2, the equation in point-slope form is ...

... y - 5 = -2(x - 5)

Simplifying, we get

... y - 5 = -2x +10

Adding 5 puts the equation into slope-intercept form, as you want.

... y = -2x +15

8 0
3 years ago
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