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3 years ago

Line M contains points (4,3) and (1,2). Write a possible equation of line K that is

1 answer:

6 0

I believe the answer is y = -3x + 15
This is what I got from calculating it but I haven’t done this type of equation in a while

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How are T minus 4 and T plus 4 related?

NARA [144]

Answer:

T will equal 4

Step-by-step explanation:

T-4=T-4

T+4=T+4

6 0

4 years ago

Match the equations representing parabolas with their directrixes. y + 8 = 3(x + 2)2 y − 14 = -(x − 3)2 y + 7.5 = 2(x + 2.5)2 y

Shkiper50 [21]

Answer:

Part 1) $y+8=3(x+2)^{2}$ -----> $y=-8.08$

Part 2) $y-14=-(x-3)^{2}$ ----> $y=14.25$

Part 3) $y+7.5=2(x+2.5)^{2}$ ----> $y=-7.625$

Part 4) $y-17=-(x-3)^{2}$ -----> $y=17.25$

Part 5) $y+7=(x-4)^{2}$ ----> $y=-7.25$

Part 6) $y-6=-(x-1)^{2}$ ----> $y=6.25$

Step-by-step explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

$y-k=\frac{1}{4p}(x-h)^{2}$

where

(h,k) is the vertex

The directrix is

$y=k-p$

case 1) we have

$y+8=3(x+2)^{2}$

the vertex is the point (-2,-8)

$\frac{1}{4p}=3$

$p=\frac{1}{12}$

The directrix is equal to

$y=-8-\frac{1}{12}=-8.08$

case 2) we have

$y-14=-(x-3)^{2}$

the vertex is the point (3,14)

$\frac{1}{4p}=-1$

$p=-\frac{1}{4}$

The directrix is equal to

$y=14+\frac{1}{4}=14.25$

case 3) we have

$y+7.5=2(x+2.5)^{2}$

the vertex is the point (-2.5,-7.5)

$\frac{1}{4p}=2$

$p=\frac{1}{8}$

The directrix is equal to

$y=-7.5-\frac{1}{8}=-7.625$

case 4) we have

$y-17=-(x-3)^{2}$

the vertex is the point (3,17)

$\frac{1}{4p}=-1$

$p=-\frac{1}{4}$

The directrix is equal to

$y=17+\frac{1}{4}=17.25$

case 5) we have

$y+7=(x-4)^{2}$

the vertex is the point (4,-7)

$\frac{1}{4p}=1$

$p=\frac{1}{4}$

The directrix is equal to

$y=-7-\frac{1}{4}=-7.25$

case 6) we have

$y-6=-(x-1)^{2}$

the vertex is the point (1,6)

$\frac{1}{4p}=-1$

$p=-\frac{1}{4}$

The directrix is equal to

$y=6+\frac{1}{4}=6.25$

5 0

3 years ago

Translate “4 less than five times a number is –11” into a mathematical equation.

hram777 [196]

4 less than five times a number is -11:
5x - 4 = -11

8 0

3 years ago

What is x? I’ll make you the brainliest

lord [1]

Answer:

Step-by-step explanation:

If EG=8, OE=4

x/12=4

x=4(12)

x=48

4 0

3 years ago

when finding the distance between two rational numbers on a number line, does the order of the numbers you subtract matter?

sergeinik [125]

Answer:

the distance between two numbers and on the number line is . Note that the distance between two numbers is always positive, no matter the order. But the difference can be positive or negative, depending on the order.

Step-by-step explanation:

the distance between two points on a line is abs(x1-x2) which is a symmetric function abs(y)=abs(-y) so abs(x1-x2)=abs(-(x1-x2))=abs(x2-x1) so the order does not matter since you take abs after the subtraction.

hopes this helps

and mark me brainliest if it does

Have a good day!

7 0

3 years ago