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3 years ago

When using fraction strips how do you know that two fractions are equivalent

1 answer:

5 0

Whenever they line up they're equivalent. As you can see in the attached file, 1/2, 2/4, 3/6, 4/8, 5/10, and 6/12 are equivalent because they line up.

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Please help!!

inessss [21]

Answer:

2.82 seconds (3 sf)

Step-by-step explanation:

s = ut + 0.5at²

6 = -95(sin25)t + 0.5(32)t²

16t² - 40.14873487t - 6 = 0

t = 2.818501699, -0.1419193751

t is time so can't be negative.

Therefore, t = 2.82s (3 sf)

4 0

3 years ago

What changes when the parent function <img src="https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2" id="TexFormula1" title="f(x)=x^2" alt=

Karolina [17]

9514 1404 393

Answer:

vertical stretch: the function value (f) is multiplied by the stretch factor
horizontal stretch: the variable (x) is divided by the stretch factor

Step-by-step explanation:

A stretch can be vertical, horizontal, or both.

Multiplying the function value by a factor greater than 1 will stretch the graph vertically.

Dividing the variable value by a factor greater than 1 will stretch the graph horizontally.

The graph is stretched by the factor according to how it is applied.

6 0

2 years ago

X - y = 2 4x – 3y = 11

swat32

Answer:

For x - y = 2

You need to find x or y in one of the equations and then substitute that into the other.

So we have;

x-y=2

4x-3y=11

We will take the first equation and find x;

x-y=2

add y to both sides;

x-y+y=2+y

x=2+y

Now we take that answer and substitute it forx in the other equation;

4(2+y)-3y=11

8+4y-3y=11

8+y=11

y=3

Now we have what y equals, so we use it in the first equation to find x;

x-3=2

x=5

So we have;

x=5; y=3

Hope you understand!

And for 4x – 3y = 11

Multiply the first equation by 2 and the second by 3 so that there are the same number of y's in each:

8x - 6y = 22 ...(3)

30x + 6y = -3 ...(4)

Now add (3) and (4) term by term:

38x + 0 = 19

38x = 19

or x = 1/2

Put this back into equation (1)

4*(1/2) - 3y = 11

2 - 3y = 11

Subtract 2 from both sides:

-3y = 9

Divide both sides by -3

y = -3

6 0

3 years ago

Read 2 more answers

What is the slope of a line that is parallel to the line represented by the equation : y = 5x - 3?

Lerok [7]

Answer:

Step-by-step explanation:

This line equation is in y = mx + b form m will be the slope

m = 5 parallel line will have same slope = 5

5 0

2 years ago

A water balloon is 5 feet above the ground when Sally launches it into the air. Use the quadratic equation 0 = -t^2 + 4t + 5 to

rodikova [14]

Answer:

$t=5\ sec$

Step-by-step explanation:

we have

$-t^{2} +4t+5=0$

Solve the quadratic equation to find the zero's or x-intercepts

Remember that

The x-intercepts are the values of x when the value of y is equal to zero ( water balloon reach the ground)

we know that

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-t^{2} +4t+5=0$

$a=-1\\b=4\\c=5$

substitute in the formula

$t=\frac{-4(+/-)\sqrt{4^{2}-4(-1)(5)}} {2(-1)}$

$t=\frac{-4(+/-)\sqrt{36}} {-2}$

$t=\frac{-4(+/-)6} {-2}$

$t=\frac{-4(+)6} {-2}=-1$

$t=\frac{-4(-)6} {-2}=5$

therefore

the solution is $t=5\ sec$

7 0

3 years ago

Read 2 more answers