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4 years ago

What is the value of b in the equation (yb) 4 = 1/24y

Mathematics

1 answer:

Amiraneli [1.4K]4 years ago

7 0

Dear student pls rewrite or send the picture of the question you want the answer of

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The equation, y = (1/4)x, is an example of what kind of variation?

lakkis [162]

Answer:

I would stay direct vartation

Step-by-step explanation:

For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.

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3 years ago

The length of a rectangle is five times its width.

grandymaker [24]

Answer:

length =30m width=6m

hope it helps

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3 years ago

What is the meaning of an absolute value

storchak [24]

Answer:

"Absolute value" is the non-negative value of a number, disregarding whether or not it has a sign.

Step-by-step explanation:

"Absolute value" is the non-negative value of a number, disregarding whether or not it has a sign. It can be thought of as how far it is away from the number of 0, whether it's to the left or right. Absolute value of a number is written as |x|, where x = any number. Let's say x was -1. |-1| would be 1 because it's 1 away from 0. If x was just 1, then the number would stay the same.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

6 0

2 years ago

a circle has a center (3,5) and a diameter AB. The coordinates of A are (-4,6). what are the coordinates of B?

Kruka [31]

Find the length of the radius.

$r= \sqrt{(3-(-4))^2+(5-6)^2}
\\r = \sqrt{7^2+(-1)^2}
\\r= \sqrt{50} 
\\ r=5 \sqrt{2}$

Find the length of the diameter.

d = 2r = 2 × 5√2 = 10√2

Point B must lie on a line AC, where C is a center of a circle.
Find equation of line AC.
A(–4, 6), C(3, 5)

$y-y_1= \frac{y_2-y_1}{x_2-x_1}(x-x_1)
\\y-6= \frac{5-6}{3-(-4)} (x-(-4))
\\y-6=- \frac{1}{7} (x+4)
\\7y-42=-x-4
\\x+7y-38=0$

The distance from B(x, y) to C(3, 5) is 5√2.
$\sqrt{(x-3)^2+(y-5)^2}=5 \sqrt{2} 
 \\(x-3)^2+(y-5)^2=(5 \sqrt{2})^2 
\\(x-3)^2+(y-5)^2=50$

Solve system of equations.
$x+7y-38=0
\\(x-3)^2+(y-5)^2=50
\\
\\x=38-7y
\\(38-7y-3)^2+(y-5)^2=50
\\(35-7y)^2+(y-5)^2=50
\\1225-490y+49y^2+y^2-10y+25-50=0
\\50y^2-500y+1200=0
\\y^2-10y+24=0
\\y^2-6y-4y+24=0
\\y(y-6)-4(y-6)=0 \\(y-6)(y-4)=0 \\y_1=6,y_2=4
$

$x_1=38-7y_1=38-7 \times 6 = 38-42=-4
\\x_2=38-7y_2=38-7 \times 4 = 38-28=10
$

Point B could have coordinates
$\\
\\(x_1,y_1)=(-4,6),(x_2,y_2)=(10,4)
$

But (–4, 6) are the coordinates of point A.
Therefore, point B has coordinates (10,4).

8 0

3 years ago

Very quick definition: What do you call the relation between two points that have one or more points in between them? For exampl

kirza4 [7]

Answer:

Step-by-step explanation:

Well believe it or not, that is not a simple question. Just look at what you left us to define. Your talking (for example) about a square and wondering what the vertex of B is called (other than a vertex.)

I think vertex is the only thing you can call B. But then there's a problem. What do you call the points on a segment? ___________? There are endpoints, but what's between those endpoints? I think you would just give them letter names and call them points. A point is dimensionless and there an infinite number of them in a segment.

Phew!!!

6 0

3 years ago