Answer:
The gradient of the line segment between the two points is -1
Step-by-step explanation:
The gradient of the line segment between two points is also known as the slope,
We can find this by using the formula; y₂ - y₁ / x₂ - x₁
The points given to us are;(-1,2) and (-2,3).
This implies x₁ = -1 , y₁=2 x₂ = -2 y₂= 3
We can now proceed to insert our values into the formula;
Gradient = y₂ - y₁ / x₂ - x₁
= 3 - 2 / -2-(-1)
= 1 / -2 + 1
=1/-1
Gradient = -1
Therefore the gradient of the line segment between the two points is -1
Answer:
A) y = 2x+ 6
Step-by-step explanation:
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Hope this helps!
-Josh
Answer:
C 93
Step-by-step explanation:
Inscribed Angle = 1/2 Intercepted Arc
< XYZ = 1/2 (186)
= 93
<h3>
Answer: y = 5</h3>
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Explanation:
For any rectangle, the diagonals are always the same length. We can use congruent triangles to prove this.
This means AC = BD.
Also, the diagonals of a rectangle cut each other in half (bisect). This indicates the following two equations
We'll use that second equation along with BP = -2x+23 and DP = 3y-6 to form the equation -2x+23 = 3y-6. This will be used later.
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By the segment addition postulate, we know that
BP+DP = BD
(-2x+23)+(3y-6) = BD
BD = -2x+3y+17
Since the diagonals are equal, we also know that AC = -2x+3y+17
We are given that AC = 2x+4
Equating the two right hand sides leads to the equation 2x+4 = -2x+3y+17
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The conclusion of each the last two sections was the following two equations
- -2x+23 = 3y-6
- 2x+4 = -2x+3y+17
We have two equations and two unknowns. We have enough info to be able to find x and y.
Let's isolate 3y in the first equation
-2x+23 = 3y-6
3y-6 = -2x+23
3y = -2x+23+6
3y = -2x+29
Then we can plug this into the second equation
2x+4 = -2x+3y+17
2x+4 = -2x+(3y)+17
2x+4 = -2x+(-2x+29)+17 .... replace 3y with -2x+29
Now solve for x
2x+4 = -2x+(-2x+29)+17
2x+4 = -2x-2x+29+17
2x+4 = -4x+46
2x+4x = 46-4
6x = 42
x = 42/6
x = 7
We then use this to find y
3y = -2x+29
3y = -2(7)+29
3y = -14+29
3y = 15
y = 15/3
y = 5
We know that domain of log(x) is ∀ x>0.
=>
domain of log(7x) is also ∀ x>0, or (0,∞) in interval notation.
