I NEED TO KNOW THIS Q

Mathematics

2 answers:

Nikolay [14]3 years ago

6 0

See picture for explanation.

IRISSAK [1]3 years ago

3 0

To find where they intersect you need to find where they equal each other. Since you already know what y equals in terms of x from the blue equation you can plug that into the red equation to solve for x
$x + 4(2x - 6) = 12 \\ x + 8x - 24 = 12 \\ 9x = 36 \\ x = 4$
Now that we know what x is equal to we can plug it into the blue equation to solve for what y is equal to
$y = 2(4) - 6 \\ y = 8 - 6 \\ y = 2$
The place where the two lines intersect is at the coordinate (4,2)

You might be interested in

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

Need help asap

Marizza181 [45]

Its b for sure i worked it out

3 0

3 years ago

What is the formula to find the hight of a square

kherson [118]

In a square, all sides are equal and all angles are equal.
So, the length of the side is only the height.
Therefore height can be:
1)The root of the area of square
2)The perimeter divided by 4

6 0

3 years ago

Read 2 more answers

How much Greater is 3/4 than 3/8?(Give me lots of answers I am marking Brainlliest)

irina [24]

2 because you have to draw out a picture if not 5

5 0

2 years ago

Read 2 more answers

Heeeelllppppp.................,..................

Tom [10]

Answer: