All categories

3 years ago

Two quantities are related, as shown in the table:

1 answer:

7 0

OK here is it
y=mx+c is the basic equation for a linear graph

If u plot the values above on a graph u'll get a straight line so
m is the slope or if they havent taught u slope is amount of y increases or decreases with respect to x. and C is the intercept or in other words where the graph or the system given above meets the y axis.

the above info is quite unnecessary but important to know
so putting the values into the equation
Youll get the values of m and C so

m=-1/2 and C=11

the relation between x and y is
y=(-1/2)x+11

put the values from the table ull get the right answer

You might be interested in

The coordinates of quadrilateral ABCD plotted on a coordinate plane are A(0, 3), B(3,-1).

Vikki [24]

Answer:

24.56 (parallelogram)

Step-by-step explanation:

4 sides of ABCD: AB, BC, AD, DC

perimeter = AB + BC + AD + DC

distance of two points: √(x-x')²+(y-y')²

AB = √3²+4² = √25 = 5

BC = √7²+2² = √53 = 7.28

AD = √7²+2² = √53 = 7.28

DC = √3²+4² = √25 = 5

P = 5*2 + 7.28*2 = 24.56

3 0

3 years ago

If sin(x) = 5/13, and x is in quadrant 1, then tan(x/2) equals what?

Rufina [12.5K]

$x$ is in quadrant I, so $0$ , which means $0$ , so $\dfrac x2$ belongs to the same quadrant.

Now,

$\tan^2\dfrac x2=\dfrac{\sin^2\frac x2}{\cos^2\frac x2}=\dfrac{\frac{1-\cos x}2}{\frac{1+\cos x}2}=\dfrac{1-\cos x}{1+\cos x}$

Since $\sin x=\dfrac5{13}$ , it follows that

$\cos^2x=1-\sin^2x\implies \cos x=\pm\sqrt{1-\left(\dfrac5{13}\right)^2}=\pm\dfrac{12}{13}$

Since $x$ belongs to the first quadrant, you take the positive root ( $\cos x>0$ for $x$ in quadrant I). Then

$\tan\dfrac x2=\pm\sqrt{\dfrac{1-\frac{12}{13}}{1+\frac{12}{13}}}$

$\tan x$ is also positive for $x$ in quadrant I, so you take the positive root again. You're left with

$\tan\dfrac x2=\dfrac15$

4 0

3 years ago

If you need one gallon of gas for 20miles how many gallon do you need for 364 miles?

ad-work [718]

Divide total miles by miles per gallon:

364 miles / 20 miles per gallon = 18.2 gallons

7 0

3 years ago

Find the greatest common factor of the following monomials 26n5 12n2

Sidana [21]

The greatest common factor is 2 $n^{2}$

We first have to look for the largest number that goes into both equations. The factors of 12 are 1, 2, 3, 4, 6 and 12. None of 3, 4, 6, or 12 go into 26 evenly. So 2 is the largest number you can take out.

With the variables, we take out as many as the lowest number will let us. Since the smallest number of n's is 2 in the second term, we take that many.

8 0

3 years ago

3 5/6 + 2 2/3 equals

attashe74 [19]

Answer:

Equals 6 1/2

Step-by-step explanation:

You need to add 3 and 2 first. then Put 5 over 6 and 2 over 3 and add them together

4 0

3 years ago