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Mila [183]
2 years ago
12

A circuit starts and ends at different vertices. True False

Mathematics
1 answer:
belka [17]2 years ago
4 0

Answer:

False, a circuit must end in the same spot unless it is an Eurel circuit.

Step-by-step explanation:

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A line that passes through the points (–4, 10) and (–1, 5) can be represented by the equation y = y equals negative StartFractio
Natali5045456 [20]

Answer:

y=-\frac{5}{3} x+\frac{10}{3}  or what is the same: 5x+3y=10

Step-by-step explanation:

First we find the slope of the line that goes through the points (-4,10) and (-1,5) using the slope formula: slope=\frac{10-5}{-4-(-1)} =\frac{5}{-3} =-\frac{5}{3}

Now we use this slope in the general form of the slope- y_intercept of a line:

y=-\frac{5}{3} x+b

We can determine the parameter "b" by requesting the condition that the line has to go through the given points, and we can use one of them to solve for "b" (for example requesting that the point (-1,5) is on the line:

y=-\frac{5}{3} x+b\\5=-\frac{5}{3} (-1)+b\\5=\frac{5}{3}+b\\5-\frac{5}{3}=b\\b=\frac{10}{3}

Therefore, the equation of the line in slope y_intercept form is:

y=-\frac{5}{3} x+\frac{10}{3}

Notice that this equation can also be written in an equivalent form by multiplying both sides of the equal sign by "3", which allows us to write it without denominators:

y=-\frac{5}{3} x+\frac{10}{3}\\3*y=(-\frac{5}{3} x+\frac{10}{3})*3\\3y=-5x+10\\5x+3y=10

3 0
3 years ago
Read 2 more answers
Which solution set is graft on the number line
vfiekz [6]

Answer:

x < 1

Step-by-step explanation:

an open circle means it contains no equal signs.....everything to the left is shaded....means it is less then

x <  1 (thats a less then sign only) ....no equal sign in there

4 0
1 year ago
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Jenny borrowed money from her mother to help pay for some bills. Her mother told her that she could borrow $1,200 at an interest
mario62 [17]

Answer:

1,287

Step-by-step explanation:

makatulong ba o hindi

3 0
2 years ago
Which number line shows the solution to<br> 11x + 14 &lt; –8?
GalinKa [24]

Answer:

D

Step-by-step explanation:

11x + 14 < -8

Cancel the addition by subtracting

11x + 14 - 14 < -8 - 14

11x < -22

11x / 11 < -22/11

x < -2

Therefore, the answer is D

8 0
2 years ago
A certain circle can be represented by the following equation. x^2+y^2+6y-72=0 What is the center of this circle ?
jek_recluse [69]

Answer:

(0, -3)

Step-by-step explanation:

Here we'll rewrite x^2+y^2+6y-72=0 using "completing the square."

Rearranging x^2+y^2+6y-72=0, we get  x^2 + y^2 + 6y                = 72.

x^2 is already a perfect square.  Focus on rewriting y^2 + 6y as the square of a binomial:  y^2 + 6y becomes a perfect square if we add 9 and then subtract 9:

x^2 + y^2 + 6y + 9  - 9              = 72:

x^2 + (y + 3)^2 = 81

Comparing this to the standard equation of a circle with center at (h, k) and radius r,

(x - h)^2 + (y - k)^2 = r^2.  Then h = 0, k = -3 and r = 9.

The center of the circle is (h, k), or (0, -3).

8 0
2 years ago
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