3 years ago

13.1: True or False: Two Lines

Mathematics

1 answer:

Daniel [21]3 years ago

5 0

Answer:

true

Step-by-step explanation:

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3 years ago

Can someone answer this question please?

allochka39001 [22]

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4 years ago

State restrictions for the given equation below

Genrish500 [490]

The restriction of the given equation is $cos^{2}x =cos^{2} x$ , other than 0≤x≤2π.

What is restriction of equation?

Restriction of the equation is the value of domain where the value is limited.

Given,

$sin^{2} xcos^{2}x +cos^4x =(1-sinx)(1+sinx)$

taking $cos^2x$ common, we get

$cos^2x(sin^2x+cos^2x)=1+sinx-sinx-sin^2x$

we know

$sin^2x+cos^2x=1\\cos^2x=1-sin^2x$

we get,

$cos^2x=cos^2x$

and the restriction is 0≤x≤2π.

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1 year ago

the product of two consecutive integers n and n+1 is 42. what is the positive integer that satisfies the situation?

MrMuchimi

$n(n+1)=42 \\
n^2+n=42 \\
n^2+n-42=0 \\ \\
a=1 \\ b=1 \\ c=-42 \\ b^2-4ac=1^2-4 \times 1 \times (-42)=1+168=169 \\ \\
n=\frac{-b \pm \sqrt{b^2-4ac}}{2a}=\frac{-1 \pm \sqrt{169}}{2 \times 1}=\frac{-1 \pm 13}{2} \\
n=\frac{-1 -13}{2} \ \lor \ n=\frac{-1+13}{2} \\
n=\frac{-14}{2} \ \lor \ n=\frac{12}{2} \\
n=-7 \ \lor \ n=6$

The positive integer is 6.
The consecutive integers are 6 and 7.

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3 years ago

When I triple my number and add five i get 26. what is my number?

pentagon [3]

$x- number\\\\
triple\ number:\ \ 3x\\\\
3x+5=26\ \ |-5\\\\
3x=26-5\\\\
3x=21\ \ |:3\\\\ x=7\\\\Number\ is\ equal\ to\ 7.$

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3 years ago