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3 years ago

Y is inversely proportional to V1+x. When x = 8, y = 2. Find y when x = 15.

Mathematics

1 answer:

murzikaleks [220]3 years ago

6 0

Answer:

y = 1.5

Step-by-step explanation:

Given x is inversely proportional to $\sqrt{1+x}$ , then the equation relating them is

y = $\frac{k}{\sqrt{1+x} }$ ← k is the constant of proportion

To find k use the condition when x = 8, y = 2

2 = $\frac{k}{\sqrt{1+8} }$ = $\frac{k}{\sqrt{9} }$ = $\frac{k}{3}$ ( multiply both sides by 3 )

6 = k

y = $\frac{6}{\sqrt{1+x} }$ ← equation of proportion

When x = 15 , then

y = $\frac{6}{\sqrt{1+15} }$ = $\frac{6}{\sqrt{16} }$ = $\frac{6}{4}$ = $\frac{3}{2}$ = 1.5

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Write an equation through the line point (-2,5) with slope 4

dybincka [34]

Answer:

Step-by-step explanation:

6 0

3 years ago

Connected to the question before this

lesya [120]

Answer:

(4)Angle A is 63°

Step-by-step explanation:

To find angle A here is what you have to do

(1) triangle A is an Isosceles triangle which has two of its angles being equal.

(2) To find A we hv to look for the interior angles of the triangle. If u look carefully there is this angle outside the triangle .we can use a property called "Angles on a straight line

(3) " Angles on a straight line sum up to 180°" When u do that ur equation will look like this

126+(x)=180°. u may be wondering hw did we get the x?? well i named the angle we dont know with any valuable like T,F etc .when u group like terms ur equation should look like this (x)=180°-126°

if u subtract ur answer should be x=63°

(B) if u look closely u will see there are two triangles. The one to the far right is an Isosceles triangle why because there is this double stroke indicating it is an Isosceles triangle. Remember an Isosceles triangle has its bases being equal. so the the triangle has two angles of 30°. so If we want to find B we first have to find the interior angles of the Isosceles triangle . so our epuarion will be like this 30°+30°+(X)=180°

U group like terms so it will look like this x=180°-60° so,

x= 120°

So now T=120°

Now to find B

we write the equation like this T+(W)=180°

we put the value of T into the Equation w=180°-120 the answer is 60°

So to find B we find the interior angles of the triangle and the interior angles of the Isosceles triangle sum up to 180. so it will look like this B+90+60=180

Nb they should be in Degrees

finally u group like terms. ur equation should look like this B=180-150

ur answer should be B=30°

7 0

4 years ago

A hair dryer has a resistance of 11. 5. What current does it conduct when it is plugged into a wall outlet that provides 120 V?

Nata [24]

The current it conduct when it is plugged into a wall outlet that provides 120 V is 10.4A

The current passing through a conductor is proportional to the potential difference. Mathematically;

V = IR
where
V is the voltage = 120V

R is the resistance = 11.5 ohms

Required