∠C = ∠ D (vertical angles
C= -2x + 90
D= x-30
Since C = D , Then -2x + 90 = x-30
-2x - x = - 30 - 90
-3x = -120
3x = 120 and x = 40°. Now replace x by 40 in any of the equality, say :
D = x-30 ; D = 40 - 30 and D = 10°
Answer:
Commutative property of addition of rational numbers: Two rational numbers can be added in any order. Thus for any two rational numbers a/b and c/d, we have. (a/b + c/d) = (c/d + a/b)
Answer:
subtract 4 from 12
Step-by-step explanation:
Answer:
The equation of the line parallel to y=4/3x−4 that passes through (-4,6) is y=4/3x−10/3 .
The equation of the line perpendicular to y=43x−4 that passes through (-4,6) is y=−3/4x+10 .
Step-by-step explanation:
Parallel means equal slopes. Hence, the slope of the line parallel to y=4/3x+3 is 4/3 . We know our slope and we know a point. We can therefore use point-slope form to determine the equation of the new line.
y−y1=m(x−x1)
y−6=4/3(x−4)
y−6=4/3x−16/3
y=4/3x−7/3
The equation of the line parallel to y=4/3x−4 that passes through (-4,6) is y=4/3x−10/3 .
Question #2:
Perpendicular means negative reciprocal slopes. Hence, the slope perpendicular to y=4/3x+3 is y=−3/4 . We know our slope and we know a point. We can therefore use point-slope form to determine the equation of the new line.
y−y1=m(x−x1)
y−6=−3/4(x-4)
y−6=−3/4x+6
y=−3/4x+10
The equation of the line perpendicular to y=43x−4 that passes through (-4,6) is y=−3/4x+10 .
Aplicando la función, los valores numéricos son
:
![f(5) = -11](https://tex.z-dn.net/?f=f%285%29%20%3D%20-11)
![f(4) = -12](https://tex.z-dn.net/?f=f%284%29%20%3D%20-12)
![f(6) = -10](https://tex.z-dn.net/?f=f%286%29%20%3D%20-10)
![f(3) = -13](https://tex.z-dn.net/?f=f%283%29%20%3D%20-13)
La función es dada por:
![f(x) = (\sqrt{x})^2 - 16 = x - 16](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%28%5Csqrt%7Bx%7D%29%5E2%20-%2016%20%20%3D%20x%20-%2016)
Para los valores numéricos, reemplazamos x, luego:
![f(5) = 5 - 16 = -11](https://tex.z-dn.net/?f=f%285%29%20%3D%205%20-%2016%20%3D%20-11)
![f(4) = 4 - 16 = -12](https://tex.z-dn.net/?f=f%284%29%20%3D%204%20-%2016%20%3D%20-12)
![f(6) = 6 - 16 = -10](https://tex.z-dn.net/?f=f%286%29%20%3D%206%20-%2016%20%3D%20-10)
![f(3) = 3 - 16 = -13](https://tex.z-dn.net/?f=f%283%29%20%3D%203%20-%2016%20%3D%20-13)
Un problema similar es dado en brainly.com/question/7037337