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3 years ago

Solve this whoever solves more gets brandies and solve as may as u want NEED NOW

Mathematics

1 answer:

Aleksandr [31]3 years ago

8 0

9)x-3=-1+4

x=-1+4+3

x=6

10)x+7=2x+5

x=2

11)10x+6=11x

x=6

12)18x+64=19x

x=64

13)17x=16x-24

x=-24

14)-8x+9x=-1+7

x=6

15)3x-2x+5=5

x+5=5

x=0

16)2w+10w=48

12w=48

w=4

17)8y+y=45

9y=45

y=5

18)16=10t-8t

16=2t

t=8

19)5x+12=8x

12=3x

x=4

20)24g-22=2g

g=1

ALL OF THEM DONE

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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

Does y=2x+3 represents a Linear relationship

Flauer [41]

Answer:

Yes

Step-by-step explanation:

Just trust me it does

7 0

3 years ago

What is the y-intercept, axis of symmetry and vertex of the following function.

tamaranim1 [39]

To find the y intercept you must substitute 0 into x.

F(x) = (-3x0) - (6x0) - 5
F(x) = -5

To find the axis of symmetry and vertex we use the formula -b/2a to find the x coordinate

x = 6/(-3x2)
x = 6/-6
x = -1

Now we need to find the y coordinate so we sub -1 into x.

F(x) = (-3x-1) - (6x-1) - 5
F(x) = 3 + 6 - 5
F(x) = 4

The axis of symmetry and vertex are (-1,4) and the y coordinate is -5. Hope this helps.

5 0

2 years ago

Read 2 more answers

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pshichka [43]

Answer:

2/ triple need video for the third answer

Step-by-step explanation:

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2 years ago

Triangles ΔABC ≅ ΔBAD so that C and D lie in the opposite semi-planes of segment AB. Prove that segment CD bisects segment AD.

kolbaska11 [484]

Answer:

See explanation

Step-by-step explanation:

Triangles ΔABC and ΔBAD are congruent. So,

AB ≅ BA;
AC ≅ BD;
BC ≅ AD;
∠ABC ≅ ∠BAD;
∠BCA ≅ ∠ADB;
∠CAB ≅ ∠DBA.

Consider triangles AEC and BED. In these triangles,

AC ≅ BD;
∠EAC ≅ ∠EBD (because ∠CBA ≅ ∠BAD);
∠AEC ≅ ∠BED (as vertical angles).

So, ΔAEC ≅ ΔBED. Thus,

AE ≅ EB.

This means that segment CD bisects segment AD.

6 0

3 years ago