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3 years ago

A line has a y-intercept of 5 and a slope of 7 what is it's equation in slope intercept form

Mathematics

2 answers:

Softa [21]3 years ago

8 0

Answer:

Super Easy!

Step-by-step explanation:

A line has the equation of $y=mx+b$ .

Where m is the slope, and b is the y-int.

Just input the values, and we get:

$y=7x+5$

Very simple!

Happy Mathematics!

(You could have searched this on google, BTW.)

mario62 [17]3 years ago

6 0

Answer:

y=7x+5

Step-by-step explanation:

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A rocket is launched from the top of a 99-foot cliff with an initial velocity of 122 ft/s.

Harman [31]

Remember that c is the initial height. Since we the rocket is in a 99-foot cliff, c=99. Also, we know that the velocity of the rocket is 122 ft/s; therefore v=122
Lets replace the values into the the vertical motion formula to get:
$0=-16 t^{2} +122t+99$
Notice that the rocket hits the ground at the bottom of the cliff, which means that the final height is 99-foot bellow its original position; therefore, our final height will be h=-99
Lets replace this into our equation to get:
$-99=-16 t^{2} +122t+99$
$-16 t^{2} +122+198=0$

Now we can apply the quadratic formula $t= \frac{-b+or- \sqrt{ b^{2} -4ac} }{2a}$ where a=-16, b=122, and c=198
$t= \frac{-122+or- \sqrt{ 122^{2}-(4)(-16)(198) } }{(2)(-16)}$
$t= \frac{-122+ \sqrt{27556} }{-32}$ or $t= \frac{-122- \sqrt{27556} }{-32}$
$t= \frac{-122+166}{-32}$ or $t= \frac{-122-166}{-32}$
$t= \frac{-11}{8}$ or $t=9$

Since the time can't be negative, we can conclude that the rocket hits the ground after 9 seconds.

5 0

4 years ago

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The diagram shows the graph of y = 2x + c, where c is a constant find the value of K.

mote1985 [20]

Answer:

$k=\frac{13}{2}$

Step-by-step explanation:

The equation $y=2x+c$ is a linear equation. By definition, the independent term on this equation (that is, the number that is not being multiplied by $x$ ) is the y-intercept, which is a fancy way of saying "the point where the line crosses the y-axis".

By looking at the equation, we know that our y-intercept is c. By looking at the graph, we can see that the y-intercept is -3. Therefore, $c=-3$ and we get the complete version of our linear equation:

$y=2x-3$

Now, looking at the graph we can see that the point $(k,10)$ lies on the line of the equation, which means that the point is a solution to our equation. All we have to do is replace $x$ and $y$ by the values of the given point (which are $k$ and $10$ , respectively), and then solve for $k$ :

$10=2k-3\\10+3=2k\\13=2k\\2k=13\\k=\frac{13}{2}$

And we are done!

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3 years ago

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What is the coefficient of 3x+-12

melisa1 [442]

Answer:

The coefficient of $3x + 12$ is 3.

Step-by-step explanation:

The coefficient of an equation is the number that is multiplied by the varible. In this equation, $x$ is being multiplied by 3, so the coefficient is 3.

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3 years ago

Which equation best represents the relationship between x and y.

Assoli18 [71]

Answer:

Step-by-step explanation:

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The flower shop recieved a shipment of 342 pink roses and 330 red roses. The shop owner uses 8 roses to make one arrangement. Ho

natita [175]

Answer:

84 arrangements

Step-by-step explanation:

First, we need to calculate the total number of roses that the shop owner has. We do this by adding the pink roses and the red roses that the owner has.

342 + 330 = 672 total roses

Now that we have the total number of roses we simply divide by the number of roses needed for each arrangement (8) in order to calculate the total number of arrangements that the owner can make.

672 / 8 = 84 arrangements

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3 years ago