Does the equation x² - 4x + y2 = -3 intersect the x-axis?

a. yes, because the center is on the x-axis.

b. no, because the center is at (2,0) and the radius is 1

c. no, because the circle is entirely in the first quadrant.

d. yes, because the center is at (-2,0) and the radius is 3.

Answer:

sqrt(106) =c

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

5^2 +9^2 = c^2

25+81 = c^2

106 = c^2

Taking the square root of each side

sqrt(106)= sqrt(c^2)

sqrt(106) =c

Answer:

Length of missing side is 10.44/ √106.

Step-by-step explanation:

Here we have

A right triangle with

1st side = a = 5

2nd sidd = b = 9

and , we need to find 3rd side of triangle

let the 3rd side be x.

Using Pythagoras theorem

a ² + b ² = c ²

( 5 ) ² + ( 9 ) ² = ( c)²

25 + 81 = ( c) ²

106 = ( c) ²

Taking square root of each side

√106 = √ c ²

√106 = c

10.44 = c

So, missing side if triangle is 10.44 /√106.

Answer:

The length of board required is 13 feet 6 inches .

Step-by-step explanation:

Board required to make one bird house = 2 feet 3 inches

= 2 x 12 + 3 = 27 inches

Number of bird houses = 6

So, the board required  

= 6 x 27 = 162 inches

13.5 feet = 13 feet 6 inches

The answer you have is the correct answer. When reflecting across the x-axis, the x-coordinate will always remain the same, but the y-coordinate value will be the opposite (in this case -5 will become 5)

Answer:

7.5 cm

Step-by-step explanation:

A rod 123.75 cm long is sawn into 16 equal lengths.

The length of each rod is calculated as:

123.75cm/16 =

= 7.734375cm

If a wastage takes place of ¼ cm for each saw cut,

The length of each piece is calculated as:

7.734375cm - 1/4 cm

7.734375cm − 0.25 cm

7.484375cm

Approximately = 7.5 cm

Therefore, the length of each piece = 7.5 cm

Answer:

[tex] {8x}^{3} + 27 \\ = {8x}^{3} + {3}^{3} \\ let : 8x \: be \: a \\ : 3 \: be \: b \\ = > {a}^{3} + {b}^{3} : \\ {(a + b)}^{3} = (a + b)( {a}^{2} + 2ab + {b}^{2} ) \\ {(a + b)}^{3} = ( {a}^{3} + 3{a}^{2} b + 3a {b}^{2} + {b}^{3} ) \\ ( {a}^{3} + {b}^{3} ) = {(a + b)}^{3} - 3ab(a + b) \\ \therefore( {8x}^{3} + 27) = {(8x + 3)}^{3} - 72(8x + 3)[/tex]

Answer:

below

Step-by-step explanation:

that is the procedure above

Answer:

I'm pretty sure it's Distributive property

Step-by-step explanation:

I think this because on the outsides of the parenthesis you can distribute the 2 to the other numbers.

Answer:

It will take Molly 1 hour to catch up to Jonas.

Step-by-step explanation:

Since Molly starts riding her bike to school 20 minutes after her brother Jonas does, and Molly pedals 12 miles per hour, and Jonas pedals 9 miles per hour, to determine how much time will it take for Molly to catch up to Jonas the following calculation has to be done:

Jonas = 9 miles per 60 minutes = 3 miles per 20 minutes

Molly = 12 miles for 60 minutes

Jonas = 3 miles + 9 = 12

Molly = 12

Therefore, it will take Molly 1 hour to catch up to Jonas.

Answer:

-5 ≠ 23

Step-by-step explanation:

5(3−4)=8+15

5(-1) = 8 + 15

-5 = 23

-5 ≠ 23

Answer:

b=112°

Step-by-step explanation:

two complementary angles

b=180°-68°=112°

sum of 2 angles is

x= 35°+25°=60°

Answer:

3. b=112

4. x = 60

Step-by-step explanation:

3.

b is equal to 112 since 68+b will be equal to a supplementary angle; an angle that adds up to 180. 180-68 is equal to 112.

4.

35+25 = 60, therefore x = 60.

Answer: 10.8%

Step-by-step explanation:

The question is asking what the percentage of the down payment is of the purchase price of the house.

For such a question, the purchase price needs to be known.

We shall therefore assume a purchase price and you can use the process to find out your percentage.

Assume the purchase price is $1,000,000.

The percentage would be:

= Down payment / Purchase price * 100%

= 108,000 / 1,000,000

= 10.8%

Answer:

10.8%

Step-by-step explanation:

see above

Answer:54 is the54 d

Step-by-step explanation:

no sorry

Answer: Value of x is, 8

Step-by-step explanation:  

Given:   ,.....[1]

To find the value of x:

Using exponent rules:

Taking square both sides in [1] we have;

Simplify:

or

Multiply both sides by  we get;

Simplify:

or

Simplify:

x = 8

Therefore, the value of x is, 8

Answer:

Step-by-step explanation:

1) the complete squares of the picture are 12, if we unite the other we can reach 15 squares circa

15 * 50 = 750 square units

3) Area = base x height = 12 * 9 = 108 cm^2

4) Area = (base x height)/2 = (24 * 16)/2 = 192 in^2

6) Area of the square = side ^ 2 = 12^2 = 144 cm^2

height of the triangle = 20 - 12 = 8 cm

Area of the triangle = (base x height)/2 = (12 * 8)/2 = 48 cm^2

Total area = 144 + 48 = 192 cm^2

7) radius = diameter / 2 = 20 : 2 = 10 cm

circumference = radius * 2 * pi = 20 * pi = 62.8 cm

area = radius^2 * pi = 100 * pi = 314.2 cm^2

10) √25 = 5

we have to find a  positive number that multiply by itself gives 25

12) √100 = 10

we have to find a positive number that multiply by itself gives 100

15) √64 = 8

we have to find a positive number that multiply by itself gives 64

a, I see, you split the workload :D

this answer is just a greeting,making you able to choose a brainliest.

if someone leaves a greeting in the other topic, it works there to. :D

Answer:

125x³+240xy²+64y³ +300yx²

Step-by-step explanation:

Row of pascals triangle to use is 1 3 3 1

For binomial expansion, use a³ +3a²b+3ab²+b³

Answer:

looks like C is best guess

Replace x and y in the equation with what they tell you x and y equal.

2(14) / 13 - 9(1/3)

Now simplify:

2 x 14 = 28

9 x 1/3 = 3

You now have:

28/13-3

Simplify again to het 28/10 this can be reduced to 14/5

Answer:

Coordinate of points = (7 , 0)

Step-by-step explanation:

Given:

Equation of slope;

y – y1 = m(x – x1)

Equation of slope;

y = 3(x – 7)

Find:

Coordinate of points

Computation:

By comparing

y - 0 = 3(x - 7)

So,

y1 = 0

m = 3

x1 = 7

Coordinate of points = (7 , 0)

Answer:

7 pies

Step-by-step explanation:

The graph is counting by 2s and the question is asking how many pies have 90 or more cherries in the pie so, I counted and got 7. 4 from 90-119 and 3 from 120-149. On 120-140 the graph fills up to 2 and then fills a half which counts as one pie 4+2+1=7 pies.

Answer:

7 pies

Step-by-step explanation:

Answer:

D and E

Step-by-step explanation:

Let's double check:

D. 9 ÷ 3 = 3

E. 4 × 9 = 36

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Have a great summer :)

Answer:

the answers would be A, D, and E

Step-by-step explanation:

just replace the Cs with the number 9 and solve from there.

for example c/3=3 would say 9/3=3

Answer:

x=29.9

Step-by-step explanation:

x=29.9

Answer:

C.

[tex]x = 2( \sqrt{ {6}^{2} - {4}^{2} } ) \\ x = 2( \sqrt{20} ) \\ x = 8.9[/tex]

Answer:

1,184 sq cm

Step-by-step explanation:

Surface area= 2 (1/2 x 8 x 12 + 34 x 10) + 34 x 12

                    = 1,184 sq cm

Hope this helps!

whole part = 3

fractional part = 7/8

===========================================================

Explanation:

1/2 = 4/8

So the mixed number 2 & 1/2 is the same as 2 & 4/8

Adding on 1 & 3/8 will mean the fractional portions add to 4/8+3/8 = 7/8 and the whole number portions add to 2+1 = 3

Overall, the total amount eaten is 3 & 7/8 pounds

Answer:

27 1/8 pounds

Step-by-step explanation:

2.5 multiplied by 7 would be 17.5 and 1 and 3/8's by 7 would be 7 multiplied by 3 = 21/8 which would be 9 and 5/8's added up with the first 7 pounds

Answer:

29,800

Step-by-step explanation:

that will be 149 x 2 which equals 298

149

 ×2         Multiply 9 × 2 = 18

------        Keep the 8 carry the 1 multiply 4 by 2 then add 1 finally multiply 2 by 1

298

Then add two zeros at the end since we're multiplying a number with two zeros. (This method only works for numbers that end with zeros)

Final answer: 29800