Please help with these questions, giving as many points as I can x

Mathematics

1 answer:

Pepsi [2]3 years ago

8 0

1. (a) for Y axis, put x=0 in the equation of the line to get: y=3(0)+5

y=5 at P

(B) Two lines are parallel if they have the same slope. Given slope m= 3 (from y=mx+b)
therefore the equation of the line parallel to the given line is:

y= 3x+b

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The perimeter of a rectangle is 338, if the ratio of the length to the width is 8:5, find the length

STALIN [3.7K]

Let the length be 8x and the width = 5x, then
Perimeter = 2(length + width) = 2(8x + 5x) = 2(13x) = 26x
338 = 26x
x = 338/26 = 13

Therefore, length = 8x = 8 x 13 = 104

4 0

3 years ago

For <img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%204x%2B1" id="TexFormula1" title="f(x) = 4x+1" alt="f(x) = 4x+1" align="abs

Kamila [148]

$\bf \begin{cases} f(x)=4x+1\\ g(x)=x^2-5\\[-0.5em] \hrulefill\\ (f\circ g)(4)=f(~~g(4)~~) \end{cases} \\\\[-0.35em] ~\dotfill\\\\ g(4)=(4)^2-5\implies g(4)=16-5\implies \boxed{g(4)=11} \\\\\\ f(~~g(4)~~)\implies f(11)\implies f(11)=4(11)+1\implies \blacktriangleright f(11)=45\blacktriangleleft$