Answer:
a) 5.83 cm
b) 34.45°
Step-by-step explanation:
a) From Pythagoras theorem of right triangles, given right triangle ABC:
AB² + BC² = AC²
Therefore:
AC² = 5² + 3²
AC² = 25 + 9 = 34
AC = √34
AC = 5.83 cm
b) From triangle ACD, AC = 5.83 cm, AD = 4 cm and ∠A = 90°.
From Pythagoras theorem of right triangles, given right triangle ACD:
AD² + AC² = DC²
Therefore:
DC² = 5.83² + 4²
DC² = 34 + 16 = 50
DC = √50
DC = 7.07 cm
Let ∠ACD be x. Therefore using sine rule:
Answer:
<h2>In the attachment</h2>Step-by-step explanation:
Convert to the slope-intercept form (<em>y = mx + b</em>):
y - 2 = -(x + 1) <em>use the distributive property</em>
y - 2 = -x - 1 <em>add 2 to both sides</em>
y - 2 + 2 = -x - 1 + 2
y = -x + 1
We only need two points to plot the graph of the linear function.
Select any two x values. Insert them into the equation.
Calculate the value of y.
For x = 1:
y = -1 + 1 = 0 → (1, 0)
For x = 0:
y = -0 + 1 = 1 → (0, 1)
