Answer:
4000 millilitres
Step-by-step explanation:
The slope-point form: y - y₁ = m(x - x₁).
The slope-intercept form: y = mx + b.
![k:y=m_1x+b_1,\ l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}](https://tex.z-dn.net/?f=k%3Ay%3Dm_1x%2Bb_1%2C%5C%20l%3Ay%3Dm_2x%2Bb_2%5C%5C%5C%5Cl%5C%20%5Cperp%5C%20k%5Ciff%20m_1m_2%3D-1%5Cto%20m_2%3D-%5Cdfrac%7B1%7D%7Bm_1%7D)
We have:
and the point (-5, 7)
therefore ![m_2=-\dfrac{1}{-4}=\dfrac{1}{4}](https://tex.z-dn.net/?f=m_2%3D-%5Cdfrac%7B1%7D%7B-4%7D%3D%5Cdfrac%7B1%7D%7B4%7D)
![y-7=\dfrac{1}{4}(x-(-5))\\\\\boxed{y-7=\dfrac{1}{4}(x+5)}\to\boxed{B.}](https://tex.z-dn.net/?f=y-7%3D%5Cdfrac%7B1%7D%7B4%7D%28x-%28-5%29%29%5C%5C%5C%5C%5Cboxed%7By-7%3D%5Cdfrac%7B1%7D%7B4%7D%28x%2B5%29%7D%5Cto%5Cboxed%7BB.%7D)
Answer:
75
Step-by-step explanation:
Since the ratio between flamingos and chachalacas is 2:1, we see that the ratio of flamingos to chachalacas to parrots to herons is 10:5:7:3. The sum of these numbers is 25, so every 'ratio number' gets 375/25 = 15 animals. So the number of chachalacas is 15 * 5 = 75.
Answer:
A = 90°
B = 37°
C = 53°
Step-by-step explanation:
Given three sides of a triangle, the Law of Cosines can be used to find the angles.
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For angle A (the largest), we can use ...
a² = b² +c² -2bc·cos(A)
Solving for A, we get ...
A = arccos((b² +c² -a²)/(2bc)) = arccos((3² +4² -5²)/(2·3·4)) = arccos(0)
A = 90°
We can use a similar equation for angle B:
B = arccos((a² +c² -b²)/(2ac)) = arccos((25 +16 -9)/(2·5.4)) = arccos(4/5)
B ≈ 37°
The sum of angles is 180°, so ...
C = 180° -90° -37°
C = 53°
Answer:
No, you are not.
Step-by-step explanation: