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2 years ago

How do I tell whether the ordered pair is a solution of the given system ? {3x+y=4 and x-3y=-4

1 answer:

5 0

You plug the x and y values back into both equations. If both come out to be true statements ie. 4=4, 7=7 your answer is correct. If one or both of the equations turn into false statements, the ordered pair is not the solution to the system.

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A person standing at the edge of a cliff throws a rock upward from a height of 180ft above ground level with an initial velocity

taurus [48]

Answer: 8.73 ft/s

Step-by-step explanation:

We have the following equation that models the motion of the rock:

$h(t)=-16t^{2}+64t+180$

Where $h(t)$ is the height of the rock at a time $t$ .

Now, if $h(t)=48 ft$ we can find $t$ and then the velocity of the rock at that height:

$48=-16t^{2}+64t+180$

Rearranging the equation:

$-16t^{2}+64t+132=0$

Multiplying the equation by -1:

$16t^{2}-64t-132=0$

Solving with the quadratic formula $t=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}$ , where $a=16$ , $b=-64$ , $c=-132$ .

$t=\frac{-(-64)\pm\sqrt{(-64)^{2}-4(16)(-132)}}{2(16)}$

Choosing the positive result of the equation:

$t=5.5 s$

Since velocity $V$ is defined as the traveled distance $h(t)$ in a given time $t$ , we have:

$V=\frac{h(t)}{t}$

$V=\frac{48 ft}{5.5 s}$

$V=8.727 ft/s \approx 8.73 ft/s$ This is the velocity of the rock at the height of 48 feet

7 0

2 years ago

A rectangle has an area of x^2 -6x -7 and a width of x-7 what’s the length

iogann1982 [59]

Answer:

x+1

Step-by-step explanation:

We know that x^2 -6x-7 is the product of two binomials.

We can solve this two ways, but the easier way is to simply factor rather than divide the area by width.

Two numbers, one of which being -7 allows for the sum of -6 and the product of -7.

Using this information, we can identify the other number is 1, so the length is x+1.

4 0

2 years ago

Bonnie earns $455 a week, and she works 5 days a week. what is her daily wage?

Nostrana [21]

91$ per day you divid 455$ by the 5 days and get 91$

5 0

3 years ago

-8m+(-15)+4m-2r-10 ?

AVprozaik [17]

Answer:

- 4m - 2r - 25

Step-by-step explanation:

-8m + (-15) + 4m - 2r - 10

- 8m - 15 + 4m - 2r - 10

collect the like terms beginning with the positives

4m - 8m - 2r - 10 - 15

- 4m - 2r - 25

7 0

2 years ago

Tell whether (2,0) is a solution of y=7x+ 2.

sattari [20]

Answer:

Step-by-step explanation:

7x2=14, 14+2=16, 16 is not 0.

5 0

2 years ago

Read 2 more answers