Step-by-step explanation:
<u>Proof:</u>
<em>2</em><em> </em><em>(</em><em> </em><em>x </em><em>-</em><em> </em><em>9</em><em>)</em><em> </em><em>=</em><em> </em><em>-</em><em> </em><em>1</em><em>0</em><em> </em><em> </em><em>when </em><em>x </em><em>=</em><em> </em><em>4</em>
<em>2</em><em> </em><em>(</em><em> </em><em>4</em><em> </em><em>-</em><em> </em><em>9</em><em>)</em><em> </em><em>=</em><em> </em><em>-</em><em>1</em><em>0</em>
<em>8</em><em> </em><em>-</em><em> </em><em>1</em><em>8</em><em> </em><em>=</em><em> </em><em>-</em><em>1</em><em>0</em>
<em><u>-</u></em><em><u>1</u></em><em><u>0</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u> </u></em><em><u>-</u></em><em><u>1</u></em><em><u>0</u></em><em><u> </u></em>..........hence proven
<u>Reasons </u>
- When you replace X with 4, you can clearly see that the equation is equal to -10.
sorry I couldn't answer accurately, but I hope this helps
Answer:
Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.
Step-by-step explanation:
Given:
Let
A(x₁ , y₁) = (1 , 4) and
B( x₂ , y₂ ) = (-1 , 2)
To Find:
θ = ?
Solution:
Slope of a line when two points are given is given bt

Substituting the values we get

Also Slope of line when angle ' θ ' is given as

Substituting Slope = 1 we get


We Know That for angle 45°,
tan 45 = 1
Therefore

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.
Answer:
0.0049
Step-by-step explanation:
The answer is b because 6/7 = 48/56 and 7/8=49/56
Answer:
x ≈ 46°
Step-by-step explanation:
Since the triangle is right use the sine ratio to solve for x
sinx =
=
, hence
x =
(
) ≈ 46°