Answer:
its the last choice
Step-by-step explanation:
Slope intercept form: y = mx + b
m = slope
b = y-intercept
The line passes through the y-axis at the point (0, -5). So, -5 is the y-intercept.
We can use the points (0, -5) and (5, 0) to solve.
Slope formula: y2-y2/x2-x1
0-(-5)/5-0)
5/5
1
The slope is 1.
Substitute these values into the equation.
y = 1x + (-5)
y = x - 5
Therefore, the answer is [ y = x - 5 ]
Best of Luck!
( x-5 ) (x + 6 )
multiply
X times X + 6x - 5x - 5 times 6
connect like terms
x squared + 6x - 5x - 30
Answer is
x squared + x - 30
<u>Answer:</u>
Interpretation: A cube with sides of 4 units each has a volume of 64 units³.
<u>Explanation:</u>
As v(s) represents the volume of the cube, s represents the length of the sides.
∴ v(4) represents the volume of a cube with sides of units, and the volume is 64 units³
Answer:
Claim 2
Step-by-step explanation:
The Inscribed Angle Theorem* tells you ...
... ∠RPQ = 1/2·∠ROQ
The multiplication property of equality tells you that multiplying both sides of this equation by 2 does not change the equality relationship.
... 2·∠RPQ = ∠ROQ
The symmetric property of equality says you can rearrange this to ...
... ∠ROQ = 2·∠RPQ . . . . the measure of ∠ROQ is twice the measure of ∠RPQ
_____
* You can prove the Inscribed Angle Theorem by drawing diameter POX and considering the relationship of angles XOQ and OPQ. The same consideration should be applied to angles XOR and OPR. In each case, you find the former is twice the latter, so the sum of angles XOR and XOQ will be twice the sum of angles OPR and OPQ. That is, angle ROQ is twice angle RPQ.
You can get to the required relationship by considering the sum of angles in a triangle and the sum of linear angles. As a shortcut, you can use the fact that an external angle is the sum of opposite internal angles of a triangle. Of course, triangles OPQ and OPR are both isosceles.
