Answer:
x=10/-3, 4/5
Step-by-step explanation:
f(x) = (10 - 3x)(4 - 5x)
10-3x=0
-3x=-10
x=10/3
4 - 5x = 0
-5x = -4
x = 4/5
Answer:
150 regular loaves
125 loaves with extra sugar
100 loaves with extra bananas.
Step-by-step explanation:
Let R represent loaves of regular bread, S represent loaves with extra sugar, and B represent loaves with extra bananas. If they have 1200 bananas, 1050 cups of sugar, and 1075 cups of flour available, the number of each type of bread that Angie and Brian can make are given by the following system of equations:
Solving the linear system:
They should make 150 regular loaves, 125 loaves with extra sugar, and 100 loaves with extra bananas.
Answer:
- tan(θ) = 5/3
- sin(θ) = 5√34/34
- sec(θ) = √34/3
Step-by-step explanation:
The hypotenuse is given by the Pythagorean theorem:
h = √(3² +5²) = √34
The trig functions are the ratios of sides:
Tan = Opposite/Adjacent
tan(θ) = 5/3
__
Sin = Opposite/Hypotenuse
sin(θ) = 5/√34 = (5/34)√34
__
Sec = Hypotenuse/Adjacent
sec(θ) = √34/3
Answer:
(x+1)^2 + (y-7)^2 = 2^2
Step-by-step explanation:
The center of the circle is at (-1,7) and the radius from the center to the edge is 2, so the equation should look like (x-h)^2 + (y-k)^2 = r^2
You would flip the signs of the center so that when you solve the equation it ends up in the correct place.
Answer:
x = 15
Step-by-step explanation:
4x is congruent to 45 + 15
4x = 45 + 15
simplify 4x = 60
divide both sides by 4 x = 15
