question is down below thanks

Answer:

[tex]\displaystyle \Big(\frac{3\sqrt{5}}{5},\frac{6\sqrt5}{5}+4\Big)[/tex]

Step-by-step explanation:

Recall that the equation for a circle is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h, k) is the center and r is the radius.

Then for a center of (0, 4) and a radius of 3, our equation is:

[tex]x^2+(y-4)^2=9[/tex]

We want to know at what point does the circle intersect with the line:

[tex]y=2x+4[/tex]

Therefore, we can solve for x. To do so, substitute the linear equation into the circle equation:

[tex]x^2+((2x+4)-4)^2=9[/tex]

Simplify:

[tex]x^2+(2x)^2=9[/tex]

Square:

[tex]x^2+4x^2=5x^2=9[/tex]

Divide both sides by 5:

[tex]\displaystyle x^2=\frac{9}{5}[/tex]

Therefore:

[tex]\displaystyle x=\pm\frac{3}{\sqrt{5}}=\pm\frac{3\sqrt{5}}{5}[/tex]

In QI, x is always positive, so we only need to consider the positive case:

[tex]\displaystyle x=\frac{3\sqrt{5}}{5}[/tex]

Using the linear equation again, we can see that:

[tex]\displaystyle y=2\Big(\frac{3\sqrt{5}}{5}\Big)+4=\frac{6\sqrt{5}}{5}+4[/tex]

Therefore, the point in which a circle with center (0, 4) and a radius of 3 intersects the line with equation y = 2x + 4 in the first quadrant is the point:

[tex]\displaystyle \Big(\frac{3\sqrt{5}}{5},\frac{6\sqrt5}{5}+4\Big)[/tex]

Or approximately:

[tex]\approx (1.342, 6.683)[/tex]

And we are finished!

Answer:

the ratio would be 9:4 because you just add

Step-by-step explanation:

just add the rstio

Answer:

Step-by-step explanation:

180-53-(90-9)=46

sin53/p=sin46/24

p=24sin53/sin46

p=26.65ft

The length of the pole with the given shadown is 26.6 feet long.

The height of the pole is determined from trignometry property of right triangle.

The shadow of the pole, vertical height formed by the pole and the length of the pole, will form a right triangle.

The length of the pole is calculated as follows;

L/sin53 = 24/sin46

L = (24 x sin53) / (sin 46)

L = 26.6 ft

Thus, the length of the pole with the given shadown is 26.6 feet long.

Learn more about angle of elevation here: https://brainly.com/question/25748640

Answer:

y = -5x +7

Step-by-step explanation:

You will have to change the equation to equal y.

y = -5x -2

Then find the paralell line which would be be the same slope but different equation so the answer should be: y = -5x + 7 by plugging in the numbers of the point. So -3 = -5(2) + x.

Solve for X,

-3 = -10 + x, add 10 to each side

7 = x

Answer:

So

Domain: (-∞,∞)

Range: [[tex]-\frac{105}{8} ,[/tex]∞)

Step-by-step explanation:

Answer:

Domain: (-∞,∞)

Range: [-105/8,∞)

Step-by-step explanation: Hope this helps.

Answer:

The median is 3.5

Step-by-step explanation:

We want to find the median of the set of values.

First, we need to write the set in ascending order.

We get:

1 five times

2 three times

3 five times

4 two times

5 seven times

6 four times

The median will be the midle value (for example in a set of 5 elements, the middle element is the third one) of this set, then the first part is to write the set, we get:

{1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6}

In this set we have

5 + 3 + 5+ 2  +7 + 4= 26 values

So we will not have a middle value, we need to take the mean of the two middle values (the 13th value and the 14th value)

We can see in the set above that these values are:

3 and 4.

Then we want to take the mean between 3 and 4.

We get:

M = (3 + 4)/2 = 3.5

The median of this set is 3.5

Answer:

0.86

Step-by-step explanation:

You will get 0.85714.....

Then 0.86 is 2 dp

Answer:

(-1,-3)

Step-by-step explanation:

Answer:

what is the question

Step-by-step explanation:

Answer:

the boa is longer by 103 cm

Step-by-step explanation:

3 m = 300 cm

300 - 197 = 103

Answer:

the boa...

Step-by-step explanation:

convert meters to centimeters then compare the numbers.

Answer:

i just want the points

Step-by-step explanation:

i just want the points

Answer:

The number of edges

Step-by-step explanation:

quad means 4 so all quadrilaterls have 4 sides.

Answer:

98

2+3=2*[3+(2-1)]=8

3+7=3*[7+(3-1)]=27

4+5=4*[5+(4-1)]=32

5+8=5*[8+(5-1)]=60

6+7=6*[7+(6-1)]=72

therefore

7+8=7*[8+(7-1)]=98

x+y=x[y+(x-1)]=x^2+xy-x

Answer:

2*3 + 3* 7 = 27

4*3 + 5* 4 = 32

....

7*6 + 8*7 = 98

or it could be :

2+3-1 = 5 -1 = 4 *2 = 8

3+7-1 = 10-1 = 9 *3 = 27

4+5-1 = 9-1 = 8 * 4 = 32

5+8-1 = 13-1 = 12 * 5 = 60

6+7-1 = 13-1 = 12 *6 = 72

7+8-1 = 15-1 = 14*7 = 98

Step-by-step explanation:

Answer:

A. 60 ft^2

Step-by-step explanation:

A=bh

The base is 12 and the height is 5

12*5=60

Answer:

A

Step-by-step explanation:

Answer:

angle Y= 60 degrees

Step-by-step explanation:

angle S + angle Y = 90 degrees because they are complementary

Y = 90 - S

angle S = 4(Y)-210

substitute for Y

S = 4(90 - S) - 210

S = 360 - 4S - 210

reduce

5S = 150

S = 30

Y = 90 - 30 = 60

Answer:

there should be 3 half cups

Step-by-step explanation:

Answer:

x+2 y+1

Step-by-step explanation:

or do u want working out

Answer:

There are 9 dogs

Step-by-step explanation:

[tex] \frac{10}{x} = \frac{70}{63} \\ x = \frac{630}{70} \\ x = 9[/tex]

Answer:

Each student receives $70 dollars each.

Step-by-step explanation:

Answer:

Step-by-step explanation:

He needs 2.5 cm of ribbon left or in easier words 6 cm..-

Answer:area=l×b

10×8=80cm* 2

perimeter =(l+b)2

10+8)*2

18×2

=36cm

Step-by-step explanation:

Answer:

read the explanation

Step-by-step explanation:

For A:

Perimeter is (10+8)*2=36

Area is 10*8=80

For B:

Perimeter is 10*4=40

Area is 10*10=100

Answer:

594

Step-by-step explanation:

Answer:

ojalá te ayude

Step-by-step explanation:

la primera

2 2/5

Answer:

ask Utah not me.........

Answer:

$185 is withheld

Step-by-step explanation:

3700 x .05 is 185.

Answer for 1:

I don't know the actual answer, but for Forms, you can press ctrl + U and find the answers in the code

Answer for 2:

x = 28

Step-by-step explanation:

Since the overall angle is 90°, and we already have 33, we subtract 33 from 90

90 - 33 = 57

So we have to fill in the other 57°

2(28) = 56

56 + 1 = 57

So the answer is x = 28

Answer:

We know that the ratio of length and breadth of a rectangular playground is 3:2

Then if the length is L, and the breadth is B, we have the relationship:

L = (3/2)*B

Outside this playground, we have a jogging track of 2m, then if we also consider the jogging track the length and breadth are:

L' = L + 2m

B' = B + 2m

The area is the product between the area and the breadth, then the area is:

A = B'*L'

A = (L + 2m)*(B + 2m)

And remember that L = (3/2)*B

Then we get:

A =  ((3/2)*B + 2m)*(B + 2m)

And the area is 2816 m^2

Then we have:

A =  ((3/2)*B + 2m)*(B + 2m) = 2816 m^2

Now we can solve the equation:

((3/2)*B + 2m)*(B + 2m) = 2816 m^2

(3/2)*B^2 + 3m*B + 2m*B + 4m^2 = 2816 m^2

(3/2)*B^2 + 5m*B =  2816 m^2 - 4m^2 = 2812m^2

Then we can write:

(3/2)*B^2 + 5m*B -  2812m^2 = 0

We can solve this if we use Bhaskara's formula:

[tex]B = \frac{-(5m) +- \sqrt{(5m)^2 - 4*(3/2)*(-2812m^2)} }{2*(3/2)} = \frac{-5m +-130m}{3}[/tex]

One solution is negative, so we can discard that one, then we only take the positive:

B = (-5m + 130m)/3 = 41.67m

And L = (3/2)*B

L = (3/2)*40.7m = 62.5m

The breadth is 41.67 meters and the length is 62.5 meters.