1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vera_Pavlovna [14]
2 years ago
5

y is directly proportional to the positive square root of( x+2)² when x = 8 y= 250 find y when x = 4​

Mathematics
1 answer:
gulaghasi [49]2 years ago
5 0

Answer:

150

Step-by-step explanation:

Since y is directly proportional to sqrt((x+2)^2), there is a constant,k, such that

y=ksqrt((x+2)^2)

We are given a pair (x,y) in this relation. Let's plug in (8,250 ) to find k.

250=ksqrt((8+2)^2)

250=ksqrt((10)^2)

250=k10

250/10=k

25=k

So for any pair (x,y) we have the relation y=25((x+2)^2).

We are asked to find y when x=4.

y=25((4+2))^2

y=25(6)

y=150

Test to see if y is proportional to sqrt((x+2)^2)

For the given points: 250/150=10/6

The equation is true so we're great.

You might be interested in
Which function is equivalent to the inverse of y=sec(x)
kipiarov [429]
From the identity:

sec(x)= \frac{1}{cos(x)}


f(x)=sec(x)= \frac{1}{cos(x)}

the inverse of f is g such that f(g(x))=x,

we must find g(x), such that \frac{1}{cos[g(x)]}=x

thus, cos[g(x)]= \frac{1}{x}

g(x)=cos^{-1} (\frac{1}{x})


Answer: b. g(x)=cos^-1(1/x)   
6 0
3 years ago
20 POINTS / WILL GIVE BRAINLIEST
padilas [110]

Answer: Total Volume =  15π + 18 π= 33π cubic mm

Step-by-step explanation:

What is the volume of the composite figure? Leave the answer in terms of π.

_33π mm3

We have a cone here conjoined to a semi-sphere.

so

Cone volume:  C = (1/3)*(πr^2) * h

semi-sphere volume :  V = (1/2)* (4/3) * (π * r^3)

r = 3 mm  and  h = 5mm

so   C = (1/3)*(π  (3)^2) * 5 =  15π  cubic mm

V = (1/2)* (4/3) * (π * 3^3) = 18 π cubic mm

Total Volume =  15π + 18 π= 33π cubic mm

3 0
3 years ago
Please show me step by step how to solve this problem 3(-8+4v)=8v ?
Nadusha1986 [10]
So we know that:
3(-8 + 4v) = 8v
To find v, first simplify the left hand side:
-24 + 12v = 8v
Then group the "v's" over to the right:
-24 = -4v
-6 = -v
So v = 6

Hope this helped
8 0
3 years ago
The sum of three numbers is 69. If the second number is equal to the first diminished by 8, and the third number is 5 times the
bonufazy [111]
X = first number
x - 8 = 2nd number
5x = 3rd number

x + x - 8 + 5x = 69
7x - 8 = 69 <=== this is the equation u would use

7x - 8 = 69
7x = 69 + 8
7x = 77
x = 11

1st number = 11
2nd number : x - 8 = 11 - 8 = 3
3rd number : 5x = 5(11) = 55
3 0
2 years ago
Read 2 more answers
A scatter plot is made to model the amount of money left to pay on a credit card. The data used for the scatter plot are shown i
NISA [10]

The y-intercept of the given table is 2000.

<u>Step-by-step explanation:</u>

Write the table in the ascending order.

From the table, calculate the rise and run to find the slope of the line.

rise=y_2-y_1.\\run =x_2-x_1.

Choose points (0,2000) and (1,1800).

rise= -200 and run=1.

Slope m = -200.

The line equation is y=mx+c.

Apply the slop value in the equation,

y= -200x+c.

To find the y-intercept substitute a value in the above equation.

Substitute(1,1800),

1800 = -200(1)+c.

2000=c.

y= -200x+2000.

The y-intercept is the point where the line passes through in the vertical y-axis at the origin.

6 0
3 years ago
Read 2 more answers
Other questions:
  • Find the value of x.<br> 230°<br> (x + 26)<br> (x - 48)
    8·1 answer
  • Quadrilateral ABCD is inscribed in a circle. Find the measure of each angle of the quadrilateral.
    9·1 answer
  • A car dealership pays you 4% commission on your first $8,000 on car sales and 8% commission on the sale amount over $8,000. If y
    14·1 answer
  • What is the second term in the binomial expansion of (2r – 3s)12? –73,728r11s 73,728r11s 608,256r10s2 –608,256r10s2?
    5·2 answers
  • Please help with Parallel Lines and Transversals
    5·2 answers
  • Hey guys hope that u all have a great night sleep
    11·2 answers
  • Help me figure out the first part of this problem!!
    7·1 answer
  • Find the LCM of 20 and 18.
    7·1 answer
  • I NEED HELP ASAP PLEASE HELP ME.
    12·1 answer
  • Angles R and S are complementary. If angle R is = 4x - 20 and angle S = 6x - 7, then angle R measures ___ degrees.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!