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3 years ago

11

What is the distance around the perimeter of the garden?

1 answer:

IrinaVladis [17]3 years ago

7 0

Answer:

C, 120

Step-by-step explanation:

Took Test

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The sum of 5 times a number and 3 is 4

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Answer:

5x+3=4

Step-by-step explanation:

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A vertical angles and Angles 1 & 3

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3 years ago

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In a recent international sport competition, the top three countrieslong dash—country a, country b, and country clong dash—wo

Alex73 [517]

We need to build a system of equations:

a + b + c = 127......(1)
b - c = 13..............(2)
a - b - c = 41..........(3)

adding equations (1) and (3):-

2a = 168
a = 84
Substituting for in equation (1)-
84 + b + c = 127
b + c = 43...........(4)
Adding equations (2) and (4):-
2b = 56

b = 28
Finally from equation (2)
c = 28-13 = 15

Answer is Country a had 84 points , b had 28 points and c had 15 points.

4 0

3 years ago

Find an equation for the perpendicular bisector of the line segment whose endpoints are

Andrew [12]

The equation of the perpendicular bisector is y = $-\frac{7}{2}$ x + 2

Step-by-step explanation:

Let us revise the relation between the slopes of perpendicular lines

The product of the slopes of two perpendicular lines is -1
That means if the slope of one of them is m, then the slope of the other is $-\frac{1}{m}$
You reciprocal the slope of one and change its sign to find the slope of the other

The mid point of a segment whose endpoints are $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is $(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

The perpendicular bisector of a line is the line that intersect it in its mid-point and formed 4 right angles

∵ The end point of a given line are (9 , -3) and (-5 , -7)

∴ $x_{1}=9$ and $x_{2}=-5$

∴ $y_{1}=-3$ and $y_{2}=-7$

- Find the slope of the line by using the rule of the slope $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

∵ $m=\frac{-7-(-3)}{-5-9}=\frac{-7+3}{-14}=\frac{-4}{-14}=\frac{2}{7}$

∴ The slope of the given line is $\frac{2}{7}$

To find the slope of the perpendicular bisector of it reciprocal it and change its sign

∴ The slope of the perpendicular bisector = $-\frac{7}{2}$

∵ The form of the linear equation is y = mx + b, where m is the

slope and b is the y-intercept

- Substitute the value of m in the equation

∴ The equation of the perpendicular bisector is y = $-\frac{7}{2}$ x + b

To find b substitute x and y in the equation by a point on the line

∵ The perpendicular bisector of the given line intersect it at

its midpoint

- Find the mid-point of the given line busing the rule above

∵ $x_{1}=9$ and $x_{2}=-5$

∵ $y_{1}=-3$ and $y_{2}=-7$

∴ The mid-point of the given line = $(\frac{9+(-5)}{2},\frac{-3+(-7)}{2})=(\frac{4}{2},\frac{-10}{2})=(2,-5)$

Point (2 , -5) is also lies on the perpendicular line

∴ x = 2 and y = -5

- Substitute them in the equation

∵ -5 = $-\frac{7}{2}$ (2) + b

∴ -5 = -7 + b

- Add 7 to both sides

∴ 2 = b

- Substitute the value of b in the equation

∴ The equation of the perpendicular bisector is y = $-\frac{7}{2}$ x + 2

The equation of the perpendicular bisector is y = $-\frac{7}{2}$ x + 2

Learn more:

You can learn more about the linear equation in brainly.com/question/11223427

#LearnwithBrainly

8 0

3 years ago

Which equation could have been used to create this graph?

Blizzard [7]

Answer:

y =2x

Step-by-step explanation:

6 0

3 years ago