Answer:
3
Step-by-step explanation:
2 1/4 = 9/4
9/4 divided by 3/4 = 3
<em>Six (6)</em> different pizzas can be made with one vegetable and one meat.
They are:
1). broccoli, pepperoni
2). broccoli, sausage
3). peppers, pepperoni
4). peppers, sausage
5). onions, pepperoni
6). onions, sausage
Estimate = 700 lbs
Real bear = 634 lbs
Difference = (700 - 634) = 66 lbs
The estimate is <em>66 pounds more</em> than the actual weight.
The estimate is 10.4% too high.
The actual bear weighs 9.4% less than the estimate.
Answer:
x = 10
Step-by-step explanation:
x(x) + x(4) – 5(x) – 5(4) = x(x) + x(–3)
x² + 4x - 5x -20 = x² - 3x
Collect like terms
x² - x² + 4x -5x +3x -20 = 0
2x = -20
Divide through by 2
X = 10
Answer:
1) w₁=4 - i w₂= -4 + i
2) w₁= 3 - i w₂= -3 + i
3) w₁= 1 + 2i w₂= - 1 - 2i
4) w₁= 2- 3i w₂= -2 + 3i
5) w₁= 5 - 2i w₂= -5 + 2i
6) w₁= 5 - 3i w₂= -5 + 3i
Step-by-step explanation:
The root of a complex number is given by:
where:
r: is the module of the complex number
θ: is the angle of the complex number to the positive axis x
n: index of the root
1) z = 15 − 8i ⇒ r=17 θ= -0.4899 rad
w₁==4-i
w₂==-1+i
2) z = 8 − 6i ⇒ r=10 θ= -0.6435 rad
w₁== 3 - i
w₂== -3 + i
3) z = −3 + 4i ⇒ r=5 θ= -0.9316 rad
w₁== 1 + 2i
w₂== -1 - 2i
4) z = −5 − 12i ⇒ r=13 θ= 0.4426 rad
w₁== 2- 3i
w₂== -2 + 3i
5) z = 21 − 20i ⇒ r=29 θ= -0.8098 rad
w₁== 5 - 2i
w₂== -5 + 2i
6) z = 16 − 30i ⇒ r=34 θ= -1.0808 rad
w₁== 5 - 3i
w₂== -5 + 3i
The equation of a line that pasees through the point (x1,y1) and has a slope of m is
y-y1=m(x-x1)
so given
point is (8,2) and slope is 5/8
y-2=5/8(x-8)
if you wanted slope intercept form
y-2=5/8x-5
y=5/8x-3
if you wanted standard form
5/8x-y=3
5x-8y=24