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Elis [28]
3 years ago
6

The diagonal of a rectangle whose length is 15cm and breadth is 8cm​

Mathematics
1 answer:
Fofino [41]3 years ago
7 0

Answer:

diagonal is 17 cm

Step-by-step explanation:

use pathagorean theorem

you have a = 8, b= 15

c is the diagonal of the rectangle (rectangle has 90deg angles)

c^2 = a^2 + b^2

c^2 = 8^2 + 15^2

c^2 = 64 + 225

c^2 = 289

take square root

c = 17

hope this helps

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What is the inverse of the function??
Firlakuza [10]
\(\begin{matrix}
y=ln(x+3)\\
e^y=x+3\\
e^y-3=x\\
swap ~x~and~y\\
 \huge\underline{y=e^x-3}}
 \end{matrix}\)


To get the inverse of any function f(x) [ just make sure that it passes the horizontal line test] follow the steps:

- Solve for x, i.e separate x in one side and the other terms in the other side, included f(x).

- Swap x and f(x).

- The result is the inverse of the original function f^{-1}(x).

-------------------------

Apply that on your function
\(\begin{matrix}
y=ln(x+3)\\
e^y=x+3\\
e^y-3=x\\
swap ~x~and~y\\
 \huge\underline{y=e^x-3}}
 \end{matrix}\)




5 0
3 years ago
A rectangle has a length of 6x-5y+1 if the perimeter of the rectangle is 16x-4y-4 determine an expression for its width
dimaraw [331]

Answer:

Width = 3y - 3

Step-by-step explanation:

P = 2l + 2w

12x - 4y - 4 = 2(6x - 5y + 1) + 2w

12x - 4y - 4 = (12x - 10y + 2) + 2w

6y - 6 = 2w

w = 3y - 3

4 0
2 years ago
Consider the line 5x-8y=8 what is the slope of a line perpendicular to this line what is the slope of a line parallel to this li
Sophie [7]

\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2,\ \text{then}\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\\text{Convert the equation to the slope-intercept form}\ y=mx+b.\\\\5x-8y=8\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\-8y=-5x+8\qquad\text{divide both sides by (-8)}\\\\y=\dfrac{5}{8}x-1\to m_1=\dfrac{5}{8}\\\\perpendicular:\ m_2=-\dfrac{1}{\frac{5}{8}}=-\dfrac{8}{5}\\\\parallel:\ m_2=\dfrac{5}{8}

8 0
3 years ago
I need some help!lol
svetlana [45]
Wht do you need help with exactly ?
7 0
3 years ago
Find the slope of the line that passes through the given points.
sammy [17]

Answer: -1/6

Step-by-step explanation:

slope= change of y over change of x

3-4/ 5--1=

-1/6

Hope this helps!

8 0
3 years ago
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