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3 years ago

Cameron is creating a chart of numbers and their opposites

Mathematics

1 answer:

lesantik [10]3 years ago

6 0

-8645 is not the opposite to -8645. 8645 is the correct opposite to -8645

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Draw triangle pqr and name it's vertices sides and angles

Galina-37 [17]

Answer:

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5 0

3 years ago

Find the coordinates of the midpoint of the segment whose endpoints are H(5, 13) and K(7, 5).

guapka [62]

Coordinates of mid point=(x1+x2/2 , y1+y2/2)
=(5+7/2 , 13+5/2)
=(12/2 , 18/2)
=(6 , 9)
Use this formula to get coordinates of mid point
here the coordinates of mid point are (6,9)

3 0

3 years ago

if silas sandwich measures, 3 yards 2 feets 3 inches, How many inches in total does silas sandwich measure

Reil [10]

<h3>Answer: 135 inches</h3>

========================================================

Work Shown:

1 yard = 3 feet

3 yards = 9 feet (multiply both sides by 3)

3 yards + 2 feet = 9 feet + 2 feet = 11 feet

1 foot = 12 inches

11 feet = 132 inches (multiply both sides by 11)

11 feet + 3 inches = 132 inches + 3 inches = <u>135 inches</u>

8 0

2 years ago

Find the value of x.

sveticcg [70]

If 98 - 32 = 66,

then x = 66°

7 0

3 years ago

A parabola has a focus of F(2, -0.5) and a directrix of y=-1.5 P(x,y) represents any point on the parabola, while D(x, -1.5) rep

prohojiy [21]

The sketch of the parabola is attached below

We have the focus $(a,b) = (2, -0.5)$
The point $P(x,y)$
The directrix, c at $y=-1.5$

The steps to find the equation of the parabola are as follows

Step 1
Find the distance between the focus and the point P using Pythagoras. We have two coordinates; $(2, -0.5)$ and $(x,y)$ .
We need the vertical and horizontal distances to find the hypotenuse (the diagram is shown in the second diagram).
The distance between the focus and point P is given by
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$

Step 2
Find the distance between the point P to the directrix $c$ . It is a vertical distance between y and c, expressed as $y-c$

Step 3
The equation of parabola is then given as
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$ = $y-c$
$(x-a)^{2}+ (y-b)^{2}= (y-c)^{2}$ ⇒ substituting a, b and c
$(x-2)^{2}+ (y--0.5)^{2} = (y--1.5)^{2}$
$(x-2)^{2}+ (y+0.5)^{2}= (y+1.5)^{2}$ ⇒Rearranging and making $y$ the subject gives

$y= \frac{ x^{2} }{2} -2x+1$

7 0

3 years ago