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gulaghasi [49]
3 years ago
5

Explain how knowing squares can make Pythagorean Theorem problems easier.

Mathematics
1 answer:
zalisa [80]3 years ago
8 0
The pythagorean theorem is used to find missing angle measurements of triangles.
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Factor -1/4 out of -1/2x -5/4y. (i will mark brainlyest)
mash [69]

Answer:

-1/4 (2x - 5y)

Step-by-step explanation:

For us to factor -1/4 out of -1/2x -5/4y

We will have to multiply the values in bracket by the reciprocal of -1/4 i.e -4 as shown

-1/2x - 5/4 y

= -1/4 (-4(-1/2x) - (-4)(-5/4y))

= -1/4 (4/2 x - 20/4 y)

= -1/4 (2x - 5y)

Hence the factored expression is -1/4 (2x - 5y)

5 0
2 years ago
Prove :<br>sin²θ + cos²θ = 1<br><br><br>thankyou ~​
Gnom [1K]

Answer:

See below

Step-by-step explanation:

Here we need to prove that ,

\sf\longrightarrow sin^2\theta + cos^2\theta = 1

Imagine a right angled triangle with one of its acute angle as \theta .

  • The side opposite to this angle will be perpendicular .
  • Also we know that ,

\sf\longrightarrow sin\theta =\dfrac{p}{h} \\

\sf\longrightarrow cos\theta =\dfrac{b}{h}

And by Pythagoras theorem ,

\sf\longrightarrow h^2 = p^2+b^2 \dots (i)

Where the symbols have their usual meaning.

Now , taking LHS ,

\sf\longrightarrow sin^2\theta +cos^2\theta

  • Substituting the respective values,

\sf\longrightarrow \bigg(\dfrac{p}{h}\bigg)^2+\bigg(\dfrac{b}{h}\bigg)^2\\

\sf\longrightarrow \dfrac{p^2}{h^2}+\dfrac{b^2}{h^2}\\

\sf\longrightarrow \dfrac{p^2+b^2}{h^2}

  • From equation (i) ,

\sf\longrightarrow\cancel{ \dfrac{h^2}{h^2}}\\

\sf\longrightarrow \bf 1 = RHS

Since LHS = RHS ,

Hence Proved !

I hope this helps.

5 0
2 years ago
PLEASE HELP I BEG YOU!!!! <br> Graph the linear equation.<br><br> 2x+6y=−6
Taya2010 [7]

Answer:

it will be 8xy

Step-by-step explanation:

2x+6y=-6

2x+6y=8xy

3 0
3 years ago
Read 2 more answers
Problems
svlad2 [7]

Answer:

17

Step-by-step explanation:

3 caterpillars double every minute (3×2=6). after 4 minutes (6×4=24). He captured 7 caterpillars within the four minutes (24-7=17).

6 0
3 years ago
Point C has the coordinates (–1, 4) and point D has the coordinates (2, 0). What is the distance between points C and D? units
maw [93]

Answer:

5 units

Step-by-step explanation;

We can use the formula for finding the length or magnitude of line joining two points.

Length = √((x2-x1)² + (y2-y1)²)

The points joining the line are C (-1,4) and D (2,0)

Length = √((2+1)² + (0-4)²)

            = √((3²) + (-4)²)

            = √ (9+16)

            = √25

            = 5 units

8 0
3 years ago
Read 2 more answers
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