Answer:
52
Step-by-step explanation:
If u=(a1i+b1j)=(a1,b1) and v=(a2i+b2j)=(a2,b2), then the dot (scalar) product is:
u.v=(a1,b1).(a2,b2)
a1b1+a2b2
u.v=(8,-7).(3,−4)
(8)(3)+(-7)(−4)
24+28=52
Answer:
the second equation converted to slope-intercept form is y = -1/3x -1
Step-by-step explanation:
Volume = 105in³
Mass = 871.5g
To find the volume of the metal we can find the area of a base, and multiply it by the prism's width.
The base is 30cm in area, and the width is 3.5cm, which makes the volume 105in³
The mass of the doorstop can be found by just multiplying the grams per cubic centimeter by the volume, which would be 871.5g
Answer:
f(-3) = 21
g(3) = 69
Step-by-step explanation:
We have been given the following functions;
f(x) = –6x + 3
g(x) = 3x + 21x–3.
To find f(-3) , we simply substitute x = -3 in the function of f(x);
f(-3) = -6(-3) + 3
= 21
To find g(3) , substitute x = 3 in the function of g(x);
g(3) = 3(3) +21(3) - 3
= 69
Trere are two correct answers.That are (-1,-7) and (-6,-14)