in the xy-plane the graph of y=x^2 and the circle with center (0,1) ad radius 3 have how many points of intersection?

Marcus spent 10 hours doing his homework last week. This week he spent 11 hours doing homework. He says that he spent 110% more

Andre45 [30]

Answer:

[ 11 - 10 ] / 10 x 100%

= 1 /10 x 100%

= 10%

Only 10% longer

7 0

4 years ago

I just need the answers for questions 9 and 10

OverLord2011 [107]

Hello. To answer this questions, we need to remember some properties about fractions and equivalences.

Starting by the question 9:

Call the population 5 years ago by P. If the population has decreased 12000 in these 5 years and this represents a decrease of 3%, so it means the new population is 0.97P.

With this, we can make the following equation:

P - 12000 = 0.97P

Subtract 0.97P and sum 12000 in both sides of the equation

0.03P = 12000

Divide both sides of the equation by a factor of 0.03

P = 3600000

6 0

2 years ago

❶ Find the values of x, y and z in each of the case given below ⟼

Ket [755]

Answer:

1)

y = 45° (converse of alternate interior angle theorem)

z = 45° (alternate interior angle theorem)

k = 135° (exterior angle theorem)

2)

Cos θ + Sin θ = √2 Cos θ

(Cos θ + Sin θ)² = (√2 Cos θ)²

(Exponential property of equality)

Cos² θ + Sin² θ + 2 (Cos θ • Sin θ) = (√2 Cos θ)²

(Distributive property)

1 + 2(Cos θ • Sin θ) = (√2 Cos θ)²

(Definition of the pythagorean identity).

This identity is true because, if a² + b² = c². The triangle must be a right triangle, and a right triangle always has a 90° angle tangent to the triangle, and the tangent of 90° is 1, cos applied to the adjacent over hypotenuse, and sin applies to the opposite over hypotenuse, so this identity must work).

1 + 2(Cos θ • Sin θ) = 2 Cos² θ

(definition of an exponent)

1 + 2(Cos θ • Sin θ) – 1 = 2 Cos² θ – 1

(subtraction property of equality)

2(Cos θ • Sin θ) = 2 Cos² θ – 1

2(Sin θ • Cos θ) = 2 Cos² θ – 1

(Associative property of multiplication ; the input for both functions are θ so this rule works, this is an exception)

Sin (2x) = 2 Cos² θ – 1

(double angled identity of 2 sine and cos)

5 0

3 years ago

The concentration of a saline solution is given by the function <img src="https://tex.z-dn.net/?f=C%28x%29%3D%5Cfrac%7B0.2%7D%7B

katrin2010 [14]

Answer:

We have to add 1.86 L of water to make the solution 7% saline.

Step-by-step explanation:

The concentration of a saline solution is given by

C(x) = $\frac{0.2}{1+x}$

where x represents the amount of water used to dilute the solution.

We have to find how much water must be added to obtain a solution that is 7% saline.

If we see the equation we notice that as we add the value of x, the concentration of the solution decreases.

Here C(x) = 0.07

0.07 = $\frac{0.2}{1+x}$

Rearranging,

1 + x = $\frac{0.2}{0.07}$

1 + x = 2.86

x = 1.86 L

We have to add 1.86 L of water to make the solution 7% saline.

8 0

3 years ago

Pls Help asap thx alot

Novosadov [1.4K]

Answer: 52.5cm²

Step-by-step explanation:

Firs, you have to split this composite shape into two separate shapes; a rectangle and triangle.

To work out the area of the rectangle you would have to do 8x5=40.

To work out the area you would have to find out the height of it first. So, to do this you would have to do 1+2=3 then do 8-3=5. Now we know the height is 5.

Then you have to use the formula base times height divided by 2 (b×h/2). So 5×5=25 then 25÷2=12.5

To then find the total area of this composite shape you would have to add the two areas together. So 40+12.5=52.5cm²

Hope this helps :)

5 0

3 years ago