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V125BC [204]
4 years ago
5

30 points!!!

Mathematics
1 answer:
AysviL [449]4 years ago
6 0
<h3>Answer: The graph is shown in the attached image below</h3>

-2x means -2*x or "-2 times x" where x is a placeholder for any number you want.

To graph y = -2x, you just need two points. Each point is of the form (x,y)

Let's plug in zero as it is often the easiest to work with.

If x = 0, then -2*x = -2*0 = 0. Notice how I replaced x with 0 and simplified.

Therefore, if x = 0, then y = 0. We have (x,y) = (0,0) as one point on this line. I have marked it as point A in the graph.

Point B is (1, -2) and it is found by plugging x = 1 into the equation to get...

y = -2x

y = -2*1

y = -2

You could find other points, but two points is enough to draw a straight line through them. The slope of this line is -2 = -2/1. The y intercept is 0.

You might be interested in
How does x/2-12=-14 I don’t understand where the negative comes from
goblinko [34]
Solve x by simplifying both sides of the equation & then isolating the variable x=-4 & the negative comes in from the -12
4 0
4 years ago
What is the perimeter of a triangle with sides<br> 14 inches, 8 inches, and 16 inches in length?
slamgirl [31]

Answer:

38 inches

Step-by-step explanation:

just add them all together.

4 0
3 years ago
find the values of x and y that make these triangles congruent by the hl theorem x=2,y=3 x=-2,y=3x=3,y=2x=4,y=8
AnnyKZ [126]

Answer:

The correct option is x=3 , y=2

Step-by-step explanation:

According to the HL theorem if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle then the triangles are congruent.

By using this theorem we can set up the system of equations as follows:

x=y+1 ...(1)

2x+3= 3y + 3 ..(2)

Now we will plug the value y+1 of equation 1 in equation 2.

2x+3 = 3y+3

2(y+1)+3=3y+3

2y+2+3=3y+3

2y+5=3y+3

Now combine the like terms:

5-3=3y-2y

2=y

y=2

Now plug the value y=2 in equation 1.

x=y+1

x=2+1

x=3

Thus the values of(x.y) are{(2,3)}

Therefore the correct option is x=3 , y=2 .....

3 0
3 years ago
The equation represents a hyperbola centered at the origin with a directrix of . what is the value of b? 10 16 20 26
Rom4ik [11]

the value of b is = 10.

The equation of a hyperbola is x^2/24^2 - y^2/ (10)^2= 1.

<h3>What is hyperbola?</h3>

The geometric characteristics of a hyperbola or the equations for which it is the solution set characterize it as a particular kind of smooth curve that lies in a plane. Mirror reflections of each other that resemble two infinite bows make up a hyperbola's two connected components or branches.

<h3>What is the general formula for hyperbola?</h3>

The general formula for hyperbola = (x - h)²/a²- (y - k)²/(b)² = 1

<h3>According to the given information:</h3>

x²/24 - y²/(b)² = 1

(x - 0)²/24 - (y -0)²/(b)² = 1

a=24,h=0 and k=0

Now equation of the directrix

x=a²/c...(1)

and we know x=576/26...(2)

Therefore from 1 and 2 we get

24²/c=576/26.

isolate the c so we get,

C=26

C= center of focii

c = √(a² + b³)

c² = a² + b²

b = c² - a²

b = 10

So we get the value of b is 10.

Therefore the equation of a hyperbola is x²/24² - y²/ (10)² =  1.

To know more about Hyperbola visit:

brainly.com/question/12919612

#SPJ4

8 0
2 years ago
.
oksian1 [2.3K]

Answer:

t= 6\ s

Step-by-step explanation:

We know that the equation that models the height of the ball as a function of time is h(t) = -16t ^ 2 + 80t + 96.

Where the initial speed is 80 feet.

When the ball lands on the ground, its height will be h(t) = 0.

So to know how long it will take the ball to reach the ground, equal h (t) to zero and solve for t.

-16t ^ 2 + 80t + 96 = 0

To solve this quadratic equation we use the quadratic formula.

For an equation of the form:

at^2 +bt +c

The quadratic formula is:

t=\frac{-b\±\sqrt{b^2 -4ac}}{2a}

In this case

a =-16\\b = 80\\c =96

Then

t=\frac{-80\±\sqrt{80^2 -4(-16)(96)}}{2(-16)}

t_1=-1\\\\t_2=6

We take the positive solution

t= 6\ s

7 0
3 years ago
Read 2 more answers
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