Hi again
For m = -6
Evaluate:
m² + 5m - 1
(-6)² + 5(-6) - 1
36 - 30 - 1
= 6 - 1
= 5
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Number of students that have rabbits = 43
Number of students that have birds = 40
43 - 40 = 3
Thus, 3 more students have rabbits that birds.
Hence, the answer is A.
Answer:
.
See the diagram attached below.
Let the chords be AB and AC with common point A.
AD is the diameter. Join B with D and C with D to form two triangles.
We need to prove that AB=AC.
\begin{gathered}In\ \triangle ABD\ and \triangle ACD;\\Given\ that\ \angle BAD=\angle CAD----(condition\ 1)\\since\ AD\ is\ diameter, \angle ABD=\angle ACD = 90^0\\So\ \angle ADB=\angle ADC--------(condition\ 2)\\AD=AD\ (common\ side)-----(condition\ 3)\\ \\So\ the\ triangles\ are\ congruent\ by\ ASA\ rule.\\Hence\ AB=AC.\end{gathered}
In △ABD and△ACD;
Given that ∠BAD=∠CAD−−−−(condition 1)
since AD is diameter,∠ABD=∠ACD=90
0
So ∠ADB=∠ADC−−−−−−−−(condition 2)
AD=AD (common side)−−−−−(condition 3)
So the triangles are congruent by ASA rule.
Hence AB=AC.
<span> (3x</span>² <span>+ 8) - (2x</span>² <span>+ 1)
= </span>3x² + 8 - 2x² - 1
= 3x² - 2x² + 8 - 1
= x² + 7
<h3><u><em>
Answer:</em></u></h3><h3><u><em>
30</em></u></h3><h3><u><em>
Step-by-step explanation:</em></u></h3><h3><u><em>
Answer: 30 gallons</em></u></h3><h3><u><em>
</em></u></h3><h3><u><em>
Step-by-step explanation:</em></u></h3><h3><u><em>
</em></u></h3><h3><u><em>
So fist we add 40% and $40%. That's 80 percent of the tank which is 12 + 12 = 24. </em></u></h3><h3><u><em>
Then we figure out half of 40 percent which is 20 which means its 6 gallons. </em></u></h3><h3><u><em>
Now we add. 12+12+6 which equals our answer 30 gallons</em></u></h3><h3><u><em>
</em></u></h3>
<u><em></em></u>
