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3 years ago

Please help this is algebra one

Mathematics

1 answer:

kenny6666 [7]3 years ago

7 0

Answer:

Step-by-step explanation:

When x is equal to 0, you look at the graph and you get y is equal to 3, which is choice B

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In a quadrilateral ABCD, angle A + angle D = 90°. Prove that AC^2 + BD^2 = BC^2 + AD^2

olga2289 [7]

Answer:

$AD^{2}+BC^{2}=AE^{2}+ED^{2}+BE^{2}+EC^{2}$

$AC^{2}+BD^{2}=AE^{2}+EC^{2}+BE^{2}+ED^{2}$

Hence prove.

$AC^{2}+BD^{2}=BC^{2}+AD^{2}$

Step-by-step explanation:

Given:

∠A + ∠D = 90°

We are prove to that

$AC^{2}+BD^{2}=BC^{2}+AD^{2}$

Solution:

See required figure in attached file.

We know sum of the all angles of a triangle is 180°.

So, in triangle AED.

∠A + ∠E + ∠D = 180°

∠E + (∠A + ∠D) = 180°

Now, we substitute ∠A + ∠D = 90° in above equation.

∠E + 90° = 180°

∠E = 180° - 90°

∠E = 90°

Using Pythagoras Theorem for triangle ADE and triangle BEC.

$AD^{2}=AE^{2}+ED^{2}$

$BC^{2}=BE^{2}+EC^{2}$

Now, we add both above equations.

$AD^{2}+BC^{2}=AE^{2}+ED^{2}+BE^{2}+EC^{2}$ --------(1)

Similarly, Using Pythagoras Theorem for triangle AEC and triangle BED.

$AC^{2}=AE^{2}+EC^{2}$

$BD^{2}=BE^{2}+ED^{2}$

Now, we add both above equations.

$AC^{2}+BD^{2}=AE^{2}+EC^{2}+BE^{2}+ED^{2}$ --------(2)

We get From equation 1 and equation 2.

$AC^{2}+BD^{2}=BC^{2}+AD^{2}$

Hence prove,

$AC^{2}+BD^{2}=BC^{2}+AD^{2}$

4 0

3 years ago

What is the product of -15 and -3?<br> 05<br> -5<br> -18<br> 45

Thepotemich [5.8K]

Answer:

Step-by-step explanation:

negative times negative equals positive

7 0

3 years ago

Read 2 more answers

a ceiling fan is rotating at 0.96 rev/sec. when turned off, it slows uniformly to a stop in 2.4 min. How many revolutions does t

Mrrafil [7]

When the decrease in velocity (the acceleration) is uniform, the average velocity is [Initial velocity - Final velocity]/2

We know tha the initial velocity is 0.96 rev / sec and the final velocity is 0,

Then, the average velocity is [0.96 / 2 ]rev /sec = 0.48 rev/sec.

Also, by defintion,

average velocity = number of rev / time,

From which, number of rev = average velocity * time

So, number of rev = 0.48 rev/sec * 2.4 min * 60sec /min = 69.12 rev

Answer: 69.12 revolutions

3 0

3 years ago

Please solve this pleaseeeeeeeeeee

puteri [66]

Answer:

x = 45

Step-by-step explanation:

x + 2x + x = 180

4x = 180

x = 45

5 0

3 years ago

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56 is 35% of what number ?

Nimfa-mama [501]

50 / 0.35 =Z

Z=160

Hope it helps!

4 0

3 years ago