Answer:
- A matches with 5.
- B matches with 3.
- C matches with 2.
- D matches with 6.
- E matches with 4.
- F matches with 1.
Step-by-step explanation:
To find the inverse of a function 
, we let 
and then solve again for y.
For example, using 
, we will let 
, giving 
. This means that 
, and thus 
.
Using similar logic, we see that:
- A matches with 5.
- B matches with 3.
- C matches with 2.
- D matches with 6.
- E matches with 4.
- F matches with 1.
Given:
JK is tangent to a circle with center H
To find:
The length of HK.
Solution:
The image is attached below.
JK = 8 mi, HJ = 15 mi
JK is tangent to a circle.
The tangent is always perpendicular to the radius.
Therefore, m∠J = 90°
Using Pythagoras theorem:
HK² = JK² + HJ²
HK² = 8² + 15²
HK² = 64 + 225
HK² = 289
HK² = 17²
Taking square root on both sides.
HK = 17
The length of HK is 17 mi.
She used 5.8 pints of white paint.
8.3 (all paint) - 2.5 (blue paint) = 5.8 (white paint)
Answer:
<em>Gradient of KL = 2</em>
Step-by-step explanation:
From the diagram, we are to calculate the gradient of KL. Gradient is salso known as the slope of the line.
Gradient of KL = ΔOK/ΔOL
Given
OK = 2OL
Substitute into the formula
From the diagram, ΔOL = -5
ΔOK = 2ΔOL
ΔOK = 2(-5)
ΔOK = -10
Hence;
Gradient = -10/-5
<em>Gradient of KL = 2</em>
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