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nadezda [96]
3 years ago
8

How can you show that two objects are proportional with a graph

Mathematics
1 answer:
Ray Of Light [21]3 years ago
3 0
Their angles/lengths (depending on which type of graph you are using) would be the same.
You might be interested in
For which value of theta is sine theta = negative 1?
Ivan

Answer:

1) 270 degrees

2)  pi/4 rad

Step-by-step explanation:

1.) For which value of theta is sine theta = negative 1?

Given

sintheta = -1

theta = arcsin(-1)

theta = -90degrees

Since sin is negative in the third and 4th quadrant

In the third quadrant, theta = 180 + 90 = 270degrees

In the fourth quadrant, theta = 360 - 90 = 270 degrees

Hence the required value of theta is 270degrees

2) Given the radius of the circle to be 1, the y axis value will also be 1 units

Opposite = 1

adjacent = 1

hyp = √1²+1²

hyp = √2

sin theta = opp/hyp

sin theta = 1/√2

theta = arccsin(1/√2)

theta = 45 degrees

Express in radians

45 degrees = pi/4 radians

Hence the required angle in the first quadrant is pi/4 rad

4 0
2 years ago
Read 2 more answers
Which equation can be used to solve for x in the following diagram? <br> Choose 1 answer:
quester [9]

Answer:

I think the answer might be D. 2x+4x=150

Step-by-step explanation:

Hope this helps!

3 0
3 years ago
Which statements are true for solving the equation 0.5 – |x – 12| = –0.25? Check all that apply.
Trava [24]

we have  

0.5-\left|x-12\right|=-0.25  

we know that        

The absolute value has two solutions

Subtract  0.5 both sides

-\left|x-12\right|=-0.25-0.5  

-\left|x-12\right|=-0.75  

Step 1

Find the first solution (Case positive)

-[+(x-12)]=-0.75

-x+12=-0.75

Subtract  12 both sides

-x+12-12=-0.75-12

-x=-12.75

Multiply by -1 both sides

x=12.75

Step 2

Find the second solution (Case negative)

-[-(x-12)]=-0.75

x-12=-0.75

Adds  12 both sides

x=-0.75+12

x=11.25

<u>Statements</u>

<u>case A)</u> The equation will have no solutions

The statement is False

Because the equation has two solutions------> See the procedure

<u>case B)</u> A good first step for solving the equation is to subtract 0.5 from both sides of the equation

The statement is True ----->  See the procedure

<u>case C)</u> A good first step for solving the equation is to split it into a positive case and a negative case

The statement is False ----->  See the procedure

case D) The positive case of this equation is 0.5 – |x – 12| = 0.25

The statement is False

Because the positive case is 0.5-(x-12)=-0.25 -----> see the procedure

case E) The negative case of this equation is x – 12 = –0.75

The statement is True -----> see the procedure

<u>case F)</u> The equation will have only 1 solution

The statement is False

Because The equation has two solutions------> See the procedure


4 0
3 years ago
Read 2 more answers
Ryan bought 8 toys for $4 each.
Scilla [17]

Answer: 8x4+10

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
The height h in feet of the ball t seconds after it is kicked can be modeled by the function h = -4t (4t - 11). How long is the
Vaselesa [24]

Answer:

t₁  = 2,75 sec

Step-by-step explanation:

The ball will get h maximum when  dh/dt ( its vertical component of the speed is equal to 0. At this moment the ball has flown half of the total flight time

Then

h(t)  = - 4t * ( 4*t - 11 )

h(t)  = - 16*t² + 44*t

Taking derivatives on both sides of the equation we get:

dh/dt  =  - 32*t  +  44

dh/dt  = 0     ⇒   -32*t  + 44 = 0

t  =  44/32     ⇒   t = 1,375 s

So twice this time

2*t   =  2 * 1.375

Total time t₁  = 2,75 sec

6 0
3 years ago
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