Answer:
Step-by-step explanation:
The last one.
A would be a quadratic if the leading coefficient was anything but 0. 0 eleminates the x^2. Not A
B has no x^2 term to begin with. B is not the answer.
C is in exponential form. C is not the answer
D has an x^2 term. There is nothing using x that is higher. D is the answer.
Answer: length = 8cm; width = 6cm
Step-by-step explanation:
The dimensions of a rectangle are the length and width:
Let x be the length of rectangle, and
y, the width of rectangle
Perimeter equals 2x+2y=28, divide through by 2: x+y=14
Make y the subject, y=14-x, input the value of y into the equation and solve by pythagorean theorem:
x^2 + y^2= 10^2 = 100
x^2 + (14-x)^2 =100
x^2 +196-28x + x^2= 100
2x^2- 28x +196= 100
2x^2 -28x +96 =0
x^2 -14x + 48= 0
(x- 8) (x- 6)= 0
x= 8; or x = 6
The length of rectangle is 8 cm
The width of rectangle is 6 cm
I hope this helps.
Answer:
a) 0∘ and 360∘
b) 300∘ and 60∘
c) 90∘ and 270∘
d) 180∘
Step-by-step explanation:
θ(0<=θ<=360∘)
then
a)
F=1/2(1−cosθ)
Putting F= 0
we get
0 = 1/2 (1−cosθ)
(1−cosθ) = 0
cosθ = 1
θ = 
(1)
= 0∘ and 360∘
b) If F = 0.25
then putting values
1/4 = 1/2 (1−cosθ)
(1−cosθ) = 1/2
cosθ = 1/2
θ = (1/2)
= 300∘ and 60∘
c) If F = 0.5
then putting values we get
1/2 = 1/2 (1−cosθ)
(1−cosθ) = 1
cosθ = 0
θ = (0)
= 90∘ and 270∘
d) If F = 1
then putting values we get
1 = 1/2 (1−cosθ)
(1−cosθ) = 2
cosθ = -1
θ = (-1)
= 180∘
So after these calculation we determine the vales of angles that are given uper.
15.
2500 X 15 = 37500
37500 ÷ 100 = 375
375 + 200 = 575
The answer is C.
16.
The easiest way to answer this question is by going through each answer one by one:
14:6 = 28:18
28 <span>÷ 14 = 2
</span>18 <span>÷ 6 = 3
</span>Since both numbers were multiplied by different numbers, we can establish that this is not a true proportion.
42:7 = 6:2
42 ÷ 7 = 6
7 ÷ 7 = 1
42:7 = 6:1
By dividing both numbers by the same number, we can establish that the answer is wrong.
2:3 = 3:2
This is obviously wrong. That is because, in ratios, the order counts. So the first 3 is more than the first 2, therefore the second number on the other side of the ratio should be more than the first.
3:5 = 12:20
12 <span>÷ 3 = 4
</span>20 <span>÷ 5 = 4
</span>Since both numbers were multiplied by the same number, this is a true proportion.
The answer is D.
Answer:
It depends on the type of numbers that are acceptable. If you state your problem in words
x - y =8
x + y = 1
The answers are x = 4.5
y = -3.5
