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leva [86]
3 years ago
12

What is the distance between the points (4, 7) and (4, −5) ?

Mathematics
2 answers:
Damm [24]3 years ago
5 0

Answer:

Step-by-step explanation:

distance = √(x₂-x₁)² + (y₂-y₁)²

= √(4 - 4)² + (-5 -7)²

= √0 + (-12)² = √ 144 = 12 units

pashok25 [27]3 years ago
4 0
The answer would be D, 12 units! :)
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Four decreased by the product of a number and 7 is equal to 11
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Answer:

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Step-by-step explanation:

5 0
3 years ago
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Use the Commutative Property to write an expression equivalent to –5d + 1/2.
Jet001 [13]

Answer: 12-5d

because all you do is flip the expression

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3 years ago
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Write an equation that is perpendicular to and 3x+y=3 whose y-intercept 5. Anyone please help me, no link just explain how to do
Liula [17]

Answer:

y = \frac{1}{3}x + 5

Step-by-step explanation:

By definition, two lines are perpendicular if and only if their slopes are negative reciprocals of each other:  m = - \frac{1}{m_{2} }, or equivalently, m_{1} * m_{2} = -1.

Given our linear equation  3x + y = 3  (or y = -3x + 3):

We can find the equation of the line (with a y-intercept of 5) that is perpendicular to y = -3x + 3 by determining the negative reciprocal of its slope, -3, which is \frac{1}{3}.

To test whether this is correct, we can take first slope,  m_{1} = -3,  and multiply it with the negative reciprocal slope m_{2} = \frac{1}{3} :

m_{1} * m_{2} = -1

-3 * \frac{1}{3}  = -1

Therefore, we came up with the correct slope for the other line, which is  \frac{1}{3}.

Finally, the y-intercept is given by (0, 5). Therefore, the equation of the line that is perpendicular to 3x + y = 3 is:

y = \frac{1}{3}x + 5

7 0
3 years ago
The general form of a circle is given as x^2+y^2+4x - 12y + 4 = 0. A) What are the coordinates of the center of the circle? B) W
Alex_Xolod [135]

Answer:

center = (-2, 6)

radius = 6

Step-by-step explanation:

<u>Equation of a circle</u>

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

(where (a, b) is the center and r is the radius)

Therefore, we need to rewrite the given equation into the standard form of an equation of a circle.

Given equation:

x^2+y^2+4x-12y+4=0

Collect like terms and subtract 4 from both sides:

\implies x^2+4x+y^2-12y=-4

Complete the square for both variables by adding the square of half of the coefficient of x and y to both sides:

\implies x^2+4x+\left(\dfrac{4}{2}\right)^2+y^2-12y+\left(\dfrac{-12}{2}\right)^2=-4+\left(\dfrac{4}{2}\right)^2+\left(\dfrac{-12}{2}\right)^2

\implies x^2+4x+4+y^2-12y+36=-4+4+36

Factor both variables:

\implies (x+2)^2+(y-6)^2=36

Therefore:

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  • radius = √36 = 6
7 0
2 years ago
Which ratio best defines experimental probability? Number of times an event occurs: Total number of times the activity is perfor
qaws [65]
Im not sure what you are asking, but i will say the answer is 

<span>Total number of times the activity is performed: Number of times an event occurs</span>
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