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3 years ago

Find the equation of the line that has slope -5/7 and which passes through (-1,-2)

Mathematics

2 answers:

bonufazy [111]3 years ago

5 0

Y=mx+b, m=slop and b = intercept point=(-1,-2)
=> -2 = -5/7(-1)+b => b= -2 -5/7= -21/7
=> y=-5/7x - 21/7

pickupchik [31]3 years ago

3 0

Use the formula

y+2=-5/7(x+1)
solve and you will get the equation which is
f(x)=-5/7(x)-19/7

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Please help

earnstyle [38]

Please consider the graph of the sphere.

We know that the volume of sphere is equal to $\frac{4}{3}\pi r^3$ , where r represents radius of sphere.

We can see that diameter of sphere is 30 inches. We know that radius is half the diameter, so radius of the given sphere would be half of 30 inches that is $\frac{30}{2}=15$ inches.

$V=\frac{4}{3}\pi r^3$

$V=\frac{4}{3}\pi (15\text{ in})^3$

$V=\frac{4}{3}\pi \times 3375\text{ in}^3$

$V=4\times 1125\pi \text{ in}^3$

$V=4500\pi \text{ in}^3$

Therefore, the volume of the given sphere is $4500\pi\text{ in}^3$ and option B is the correct choice.

8 0

3 years ago

Find the future value if £7400 is invested for 6 years at 12.8% p.a.

Free_Kalibri [48]

Answer:

5683.2 Euro's

Step-by-step explanation:

p=7400 Euro's

r=12.8*1/100

t=6yrs

I=P*R*T

7400*12.8/100*6

=5683.2 Euro's

5 0

3 years ago

8 div by 275 place 0 in qoutient

Norma-Jean [14]

275 divided by 8 is 34.375

5 0

3 years ago

Suppose that w and t vary inversely and that t = 5/12

Svetlanka [38]

Answer:

Option B. t=5/3w ;1/3

Step-by-step explanation:

We are told that $w$ varies Inversely with $t$ thus generally speaking $w$ ∝ $\frac{1}{t}$ since they are inverted, otherwise if they were proportionally varied then $w$ ∝ $t$ . This means that there is a constant value ( $a$ ) for which $w$ is inversely proportional to $t$ and can be mathematically expressed as:

$w=\frac{a}{t}$ Eqn. (1)

Now since we are given the values of $w=4$ and $t=\frac{5}{12}$ , we can plug them in Eqn. (1) and find our constant of proportionality $a$ as follow: