All categories

3 years ago

What is the y-coordinate of the midpoint of WU? A 2.5 B. -1.5 C. -0.5 D. 1.5

Mathematics

1 answer:

lilavasa [31]3 years ago

6 0

Option C: -0.5 is the right answer

Step-by-step explanation:

Given is the graph on which different points are indicated.

We have to find the y-coordinae of the mid-point of WU.

The formula for mid-point is:

$(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})$

So we only have to know the y-coordinates of both points to find the mid-points y coordinate

So by observing the graph we get

y_1 =0

y_2 = -1

So,

$\frac{0-1}{2}\\= \frac{-1}{2}\\= -0.5$

Hence,

Option C: -0.5 is the right answer

Keywords: Mid-point, coordinate geometry

Learn more about coordinate geometry at:

#LearnwithBrainly

You might be interested in

Find the value of k if area of triangle is 4 unit and vertices are (-2,0),(0,4),(0,k)

serg [7]

I'll try my best to help

4 0

3 years ago

Micheal buys two bags or chips and three boxes of pretzels for $5.13 . He then buys another bag of chips and 2 boxes of pretzels

trapecia [35]

Answer:

So a bag of chip costs $2.39

Step-by-step explanation:

Let x = cost of a bag of chip

Let y = cost of a box of pretzel

Micheal buys two bags of chips and three boxes of pretzels for $5.13

This means

2x + 3y = 5.13 - - - - - - - - - -1

He then buys another bag of chips and 2 boxes of pretzels for $3.09

This means

x + 2y = 3.09 - - - - - - - - - - - -2

Solving equation 1 and equation 2 simultaneously and using the elimination method,

Multiply equation 1 by 1 and equation 2 by 2

2x + 3y = 5.13

2x + 6y = 6.18

Subtracting,

-3y = -1.05

y = -1.05/-3= $0.35

Put y= 0.35 in equation, x + 2y = 3.09

x + 2(0.35)= 3.09

x + 0.7= 3.09

x = 3.09-0.7 = $ 2.39

So a bag of chip costs $2.39

5 0

3 years ago

Find the perimeter of the shape below:

skad [1K]

Add all sides

use distance formula to fnd distance: sqrt((x1-x2)^2+(y1-y2)^2)
if is wrong,i'm sorry,i think this is right

8 0

4 years ago

Read 2 more answers

Trying to find the right answer to an improper fraction as a mixed number 4 / 3.

svetlana [45]

1 1/3 is the answer

you have to subtract the numerator of the improper fraction from the denominator and the number you have left is the fraction like for 4/3 4-3=1 so the fraction is 1/3 the amount that is NOT a fraction counts as the whole depending on how many times it can go into the denominator.

6 0

4 years ago

Read 2 more answers

Match the parabolas represented by the equations with their vertices. y = x2 + 6x + 8 y = 2x2 + 16x + 28 y = -x2 + 5x + 14 y = -

GaryK [48]

Consider all parabolas:

$y = x^2 + 6x + 8,\\y=x^2+6x+9-9+8,\\y=(x^2+6x+9)-1,\\y=(x+3)^2-1.$

When x=-3, y=-1, then the point (-3,-1) is vertex of this first parabola.

$y = 2x^2 + 16x + 28=2(x^2+8x+14),\\y=2(x^2+8x+16-16+14),\\y=2((x^2+8x+16)-16+14),\\y=2((x+4)^2-2)=2(x+4)^2-4.$

When x=-4, y=-4, then the point (-4,-4) is vertex of this second parabola.

$y =-x^2 + 5x + 14=-(x^2-5x-14),\\y=-(x^2-5x+\dfrac{25}{4}-\dfrac{25}{4}-14),\\y=-((x^2-5x+\dfrac{25}{4})-\dfrac{25}{4}-14),\\y=-((x-\dfrac{5}{2})^2-\dfrac{81}{4})=-(x-\dfrac{5}{2})^2+\dfrac{81}{4}.$

When x=2.5, y=20.25, then the point (2.5,20.25) is vertex of this third parabola.

$y =-x^2 + 7x + 7=-(x^2-7x-7),\\y=-(x^2-7x+\dfrac{49}{4}-\dfrac{49}{4}-7),\\y=-((x^2-7x+\dfrac{49}{4})-\dfrac{49}{4}-7),\\y=-((x-\dfrac{7}{2})^2-\dfrac{77}{4})=-(x-\dfrac{7}{2})^2+\dfrac{77}{4}.$

When x=3.5, y=19.25, then the point (3.5,19.25) is vertex of this fourth parabola.

$y =2x^2 + 7x +5=2(x^2+\dfrac{7}{2}x+\dfrac{5}{2}),\\y=2(x^2+\dfrac{7}{2}x+\dfrac{49}{16}-\dfrac{49}{16}+\dfrac{5}{2}),\\y=2((x^2+\dfrac{7}{2}x+\dfrac{49}{16})-\dfrac{49}{16}+\dfrac{5}{2}),\\y=2((x+\dfrac{7}{4})^2-\dfrac{9}{16})=2(x+\dfrac{7}{4})^2-\dfrac{9}{8}.$

When x=-1.75, y=-1.125, then the point (-1.75,-1.125) is vertex of this fifth parabola.

$y =-2x^2 + 8x +5=-2(x^2-4x-\dfrac{5}{2}),\\y=-2(x^2-4x+4-4-\dfrac{5}{2}),\\y=-2((x^2-4x+4)-4-\dfrac{5}{2}),\\y=-2((x-2)^2-\dfrac{13}{2})=-2(x-2)^2+13.$

When x=2, y=13, then the point (2,13) is vertex of this sixth parabola.

3 0

3 years ago