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3 years ago

Please help will name brainliest: Make y the subject of the formula x=a-2by²

Mathematics

2 answers:

lozanna [386]3 years ago

4 0

Answer:

y = ± $\sqrt{\frac{a-x}{2b} }$

Step-by-step explanation:

Given

x = a - 2by² ( add 2by² to both sides )

x + 2by² = a ( subtract x from both sides )

2by² = a - x ( divide both sides by 2b )

y² = $\frac{a-x}{2b}$ ( take the square root of both sides )

y = ± $\sqrt{\frac{a-x}{2b} }$

Alenkasestr [34]3 years ago

4 0

Answer:

$y = a - x \di2b$

Step-by-step explanation:

$2b {y }^{2} = a - x$

$2b {y}^{2} \div 2b = a - x \ \div 2b$

${y}^{2} = a - x \div 2b$

$y = \sqrt{a - x \div 2b}$

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How would I go about solving this problem???

schepotkina [342]

So.. if you take a peek at the picture below

the trunk is really just a half-cylinder on top of a square, with a depth of 2 meters

what's the volume? well, easy enough, take the volume of the cylinder, then half it
take the volume of the rectangular prism, and then add them both

$\bf \textit{volume of a cylinder}\\\\

\begin{array}{llll}
C=\pi r^2 h\\\\
\textit{half that}\\\\
\cfrac{\pi r^2 h}{2}
\end{array}\qquad 
\begin{cases}
r=radius\\
h=height\\
-------\\
r=\frac{1}{2}\\
h=2
\end{cases}\implies \cfrac{C}{2}=\cfrac{\pi \left( \frac{1}{2}\right)^2 2}{2}\\\\
-----------------------------\\\\
\textit{volume of a square}\\\\
V=lwh\qquad 
\begin{cases}
l=length\\
w=width\\
h=height
----------\\
l=1\\
w=1\\
h=2
\end{cases}\implies V=2$

now.. for the surface area... $\bf \textit{surface area of a cylinder}\\\\
\begin{array}{llll}
S=2\pi r(h+r)\\\\
\textit{half that}\\\\
\cfrac{2\pi r(h+r)}{2}
\end{array}\begin{cases}
r=radius\\
h=height\\
-------\\
r=\frac{1}{2}\\
h=2
\end{cases}$

now.. for the surface area of the prism... well

is really just 6 rectangles stacked up to each other at the edges

so... get the area of the lateral rectangles, and the one at the bottom, skip the rectangle atop, because is the one overlapping the cylinder, and is not outside, and thus is not surface area then

for the lateral ones, you have a front of 1x1, a back of 1x1 and a left of 1x2 and a right of 1x2, and then the one at the bottom, which is a 1x2

then add both surface areas, and that's the surface area of the trunk

5 0

3 years ago

A,B, C and D are the four corners of a rectangular plot marked out on level ground. Given that the bearing of B from A is 40 and

Elden [556K]

Answer:

given - a rectangle ABCD

AB = 40

AC. = 90

BC = ?

in triangle ABC

using Pythagoras theorem

(AB) ² + (BC) ² = (AC) ²

(40)² + (BC) ² = (90)²

(BC) ² = (90)²- (40)²

(BC) ² = 8100 - 1600

(BC) ² = 6500

BC =

$20 \sqrt{10}$

7 0

2 years ago

You walk an average of 3.2 miles per hour on the way to school and at an average of 4 miles per hour on the way home the total w

7nadin3 [17]

The answer to this question is:
You walk an average of 3.2 miles per hour on the way to school and at an average of 4 miles per hour on the way home the total walking time is 18 minutes how far away is the school Round your answer to the nearest hundredth of a mile
<span>.53 mi
</span><span>.133 hrs

Hope This Helped, Markadoodle
Your Welcome :)</span>

8 0

3 years ago

Read 2 more answers

Select the correct answer. Segment KL is a diameter of circle Q. Circle Q is represented by the equation (x − 11)2 + (y + 15)2 =

m_a_m_a [10]

Answer:

2√7

Step-by-step explanation:

Mathematically, the equation of a circle can be represented by;

(x-h)^2 + (y-k)^2 = r^2

where (h,k) = center and r = radius

Applying this to the question, we can see that the length of the radius of the circle is √7

The diameter is always twice the radius

Thus, the diameter KL = 2 * √7 = 2√7

7 0

2 years ago

A cone has a height of 7ft and a radius of 4 ft. Which equation can find the volume of the cone ON A TIMER WILL GIVE BRAINLY

Yuri [45]

V=π x r2 x h/3 that’s the formula

6 0

2 years ago