I think the correct answer from the choices listed above would be the second graph. The given inequality is given as x is greater than or equal to 4. So, the graph should include the value 4 then to the right of 4 in the number line. Hope this answers the question.
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Answer:
y=-1/3x-17/3
Step-by-step explanation:
I assume you mean <em>perpendicular</em><em> </em>to x=-3.
In that case, we would flip and take the negative. A perpendicular slope would be x=-1/3
Now we plug the point (4,-7) into the equation
y=mx+b
y=-1/3x+b
-7=-1/3*4+b
-7=-4/3+b
b= -17/3
The whole equation would be:
y=-1/3x-17/3
<em>I hope this helps! :)</em>
Answer:
m∠CFD is 70°
Step-by-step explanation:
In the rhombus
- Diagonals bisect the vertex angles
- Every two adjacent angles are supplementary (their sum 180°)
Let us solve the question
∵ CDEF is a rhombus
∵ ∠E and ∠F are adjacent angles
→ By using the second property above
∴ ∠E and ∠F are supplementary
∵ The sum of the measures of the supplementary angles is 180°
∴ m∠E + m∠F = 180°
∵ m∠E = 40°
∴ 40° + m∠F = 180°
→ Subtract 40 from both sides
∵ 40 - 40 + m∠F = 180 - 40
∴ m∠F = 140°
∵ FD is a diagonal of the rhombus
→ By using the first property above
∴ FD bisects ∠F
→ That means FD divides ∠F into 2 equal angles
∴ m∠CFD = m∠EFD =
m∠F
∴ m∠CFD =
(140°)
∴ m∠CFD = 70°
Answer:
Step-by-step explanation:
The zeros are the values of x for which y=0.
The zero of this graph is x=1.