Answer:
x = -3
Step-by-step explanation:
5x + 3 = 4x,
x + 3 = 0,
x = -3
- 14 is <span>a rational number as it is equal to.. -14/1 ...
so in this way we get it in the form of p/q ...
Hope it helps !!!</span>
Answer:
C) The midpoint of the segment
Step-by-step explanation:
The point of tangency is the intersection of the original circle and the semicircle whose diameter is the segment from the original circle center to the external point. The step being described is the step where the semicircle is being drawn, so the point of the compass will be at the midpoint of the segment.
Answer: AA similarity posulate
Step-by-step explanation:
In ΔAJM and ΔAPB,
∠PAB = ∠JAM,
Also, since PB || JM, the corresponding angles formed by these two parallel lines with the line AJ are equal i.e.
∠AJM = ∠APB
So, using the AA similarity postulate, we can say that ΔAJM is similar to ΔAPB
Answer: y ≤ x² + 8x + 7
<u>Step-by-step explanation:</u>
x ≤ -7 --> x + 7 ≤ 0
x ≥ -1 --> x + 1 ≥ 0
- First, let's figure out the quadratic equation:
y = (x + 7)(x + 1)
y = x² + 8x + 7
- Next, let's figure out which inequality symbol to use:
The quadratic is positive so it is U-shaped
x ≤ -7 and x ≥ -1
means the outside of the U-shaped parabola is shaded
so we need to use the ≤ symbol
<em>Note: if the inequality symbols were reversed, the shading would be inside the U-shaped parabola so we would use the ≥ symbol.</em>