i think of a number add one and square the number. the result is 9. What number could it be?

Answer:

x = 8, y = 2

Step-by-step explanation:

Multiply the second equation by -2:

x + 6y = 20

-2x - 6y = -28

Add the equations and simplify:

-x = -8

x = 8

Plug x = 8 back into the first equation and solve for y:

8 + 6y = 20

6y = 12

y = 2

Answer:

x=8

Y=2

or

(x,y)=(8,2)

Step-by-step explanation:

x+6y=20

x+3y=14

solve the equation for x

x+6y=20

x=14-3y

substitute the given value of x into the equation

x+6y=20

14-3y+6y=20

14+3y=20

3y=20-14

3y=6

3y/3=6/3

y=2.

substitute the given value of y into the equation

x=14-3y

x=14-3×2

x=14-6

x=8.

the possible solution of the system is the ordered pair (x,y)

(x,y)=(8,2)

or

x=8

Y=2

Proof:

Check if the given ordered pair is the solution of the system of equations

8+6×2=20

8+3×2=14

simply the equalities

20=20

14=14

since all of the equalities are true, the ordered pair is the solution of the system

(x,y)=(8,2)

Answer:

See Explanation

Step-by-step explanation:

3.

XY is tangent at P and CP is radius

[tex] \therefore CP\perp XP\\(\because tangent\: is \: perpendicular \: to\: radius) \\\\

\therefore m\angle CPX = 90\degree \\[/tex]

4.

Radius of the circle = diameter /2 = 13/2 = 6.5.cm

5.

For BD to be be tangent to the circle with center C, BD should make right angle with radius CB.

[tex] AD^2 [/tex] should be equal to the sum of the squares BD and AB.

Let us work it out:

[tex] AD^2 = 7^2 = 49....(1)\\

AB^2 + BD^2 = 5^2 +5^2 \\

AB^2 + BD^2 = 25 + 25 \\

AB^2 + BD^2 = 50....(2) \\[/tex]

From equations (1) & (2), it is obvious that:

[tex] AD^2 \neq AB^2 + BD^2[/tex]

So, BD is not tangent to the[tex] \odot\: C. [/tex]

6.

Tangents drawn from an external point to a circle are congruent.

In circle with center C, BA and BD are tangents drawn from external point B.

Therefore,

BA = BD

x = 4

7.

In circle with center C, BA and BD are tangents drawn from external point B.

Therefore,

BD = BA (tangents drawn from external point to a circle)

x = 2

8.

In circle with center C, BA and BD are tangents drawn from external point B.

Therefore,

BA = BD (tangents drawn from external point to a circle)

2x = 10

x = 10/2

x = 5

Answer:

-3

Step-by-step explanation:

The rise is 6 and the run is 2

Answer:

An arithmetic sequence has a constant difference between each term.

For example: 2,4,6,8,10,12,…

We can see clearly that all the terms differ by +2.

We call this the common difference, d.

A geometric sequence has a constant ratio (multiplier) between each term.

An example is: 2,4,8,16,32,…

So to find the next term in the sequence we would multiply the previous term by 2.

This is called the common ratio, r.

These sequences are closely related as they both have the same first term, but I hope you can see how different they become if they have a common difference or a common ratio.

We can create a decreasing arithmetic sequence by choosing a negative common difference.

Similarly, a decreasing geometric sequence would have a common ratio of less than 1.

Step-by-step explanation:

Answer:

[tex]S.A.=90\pi~cm^2[/tex]

Step-by-step explanation:

Surface Area of a Cone

Given a cone of base area B and slant height L, the surface area can be calculated with the formula:

[tex]S.A.=\pi rL +B[/tex]

The cone presented in the image has a circular base of radius r=5 cm, thus its base area is:

[tex]B=\pi r^2[/tex]

[tex]B=\pi 5^2[/tex]

[tex]B=25\pi~cm^2[/tex]

The slant height can be calculated as the hypotenuse of a right triangle with legs 5 cm and 12 cm by using Pythatgora's Theorem:

[tex]L^2=5^2+12^2[/tex]

[tex]L^2=25+144=169[/tex]

Taking square roots

[tex]L = \sqrt{169}[/tex]

L = 13 cm

The surface area is:

[tex]S.A.=\pi (5~cm)*13~cm +25\pi~cm^2[/tex]

Operating:

[tex]S.A.=65\pi~cm^2 +25\pi~cm^2[/tex]

[tex]\mathbf{S.A.=90\pi~cm^2}[/tex]

Answer:

90

Step-by-step explanation:

Answer:

120 square feet

Step-by-step explanation:

they are similar so they are in a ratio 20/10=2 so smaller triangle is twice the larger one 6×2=12ft

area of triangle =1/2×base×height

=1/2×20×12

=120 square feet

Answer:

8 pages

Step-by-step explanation:

It is given that,

You need to read 20 poems in 5 days for an English project. Each poem is 2 pages long.

We need to find no of pages you need to read each day. Let the no of pages are x. It can be calculated as follow :

[tex]x=20\times 2/5\\\\=20\times \dfrac{2}{5}\\\\=4\times 2\\\\=8[/tex]

Hence, there are 8 pages you need to read each day.

Answer:

we need 2 equations to solve by elimination

Answer:

Step-by-step explanation:

for x

3x + y = -1

subtract 3x from both sides

y = -3x - 1

answer

for y

3x + y = -1

subtract y on from both sides

3x = -y -1

divide by 3

x = -1/2y - 1/3

answer

Answer:

a) Center of dilation (0,0)

b) Scale factor = 2

Step-by-step explanation:

Dilation of Polygons

The triangle ABC has its vertices at A(-2,2), B(4,2), and C(-2,-2).

The triangle A'B'C' has its vertices at A'(-4,4), B'(8,4), and C'(-4,-4).

Since A'B'C' is a dilation of ABC, we check if all its vertices are proportional with the same scaling factor.

Both vertices of A' are twice the vertices of A: (-4,4)=2*(-2,2)

Both vertices of B' are twice the vertices of B: (8,4)=2*(4,2)

Both vertices of C' are twice the vertices of C: (-4,.4)=2*(-2,-2)

a)

The proportionality of the coordinates of the vertices tells us the center of dilation must be the origin of coordinates (0,0).

b)

The scale factor is the constant number all the vertices are multiplied by, that is, scale factor = 2

Answer:

∠ JKL = 32°

Step-by-step explanation:

Since KN bisects ∠ LKM , then

∠ LKN = ∠ NKM = 35°

Thus

∠ JKL = ∠ JKM - ∠ LKN - ∠ NKM

         = 102° - 35° - 35°

        = 102° - 70°

         = 32°

Answer:

10 and 6

Step-by-step explanation:

Variable equation:

x+y=16

x-y=4

Substitution: eq1-eq2.

2y=12

y=6

x=10.

Hope this helps :D

Step-by-step explanation:

Let the numbers are x and y

[tex]\longrightarrow\sf x+y=16 [/tex]

[tex]\longrightarrow\sf x-y=4[/tex]

add them

[tex]\longrightarrow\sf 2x=20 [/tex]

[tex]\longrightarrow\sf x=10[/tex]

Substitute the value in eq (1)

[tex]\longrightarrow\sf 10+y=16 [/tex]

[tex]\longrightarrow\sf y=6 [/tex]

numbers are 6 and 10

Answer:

46 degrees

Step-by-step explanation:

Answer:

[tex]x = 46[/tex]

Step-by-step explanation:

First I identified that 2 of side lengths are the same, being 5. Then 88° is inbetween them, so I now know that both missing angles will be equal. This works with all triangles, if 2 sides equal the same then 2 angles will be equal.

So now we know a triangles angles always add up to be 180, so now we just subtract and divide.

[tex]180 - 88 = 92[/tex]

So now we know the sum of both missing angles so we can just divide the value in half because both angles are the same.

[tex]92 \div 2 = 46[/tex]

Now we know x=46°

Answer:

technologist

Step-by-step explanation:

technologist is best

Answer:

Financial managers are typically more open and charismatic individuals, which can lead a team and make correct decisions. If your leadership and decisive skills are good, great! Financial manager is better for you.

Meanwhile, radiologist technologist (or just radiologists) are doctors who oversee x-ray operations, MRIs or PET scans. They are typically very specialized into this kind of field. If you're more into this kind of job, then go for it!

Step-by-step explanation:

Thanks, and please give Brainliest!

Answer:

-90%

Step-by-step explanation:

Change/ original x 100

9000-900= 8100

8100/9000= 0.9

0.9 x 100 = 90

Answer:39 i dont im 12 ps out

Step-by-step explanation:

Answer:

The company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.

Step-by-step explanation:

let in the motor company x number of delta cars, y number of beta cars and z number of sigma cars are manufactured.

from the condition given in the question we can write

9x + 13y + 9z = 257 ........ (1)

4x + 6y + 4z = 116 ........... (2) and    

3x + 4y + z = 59 ......... (3)

From equation (2) we get

9x + 13.5y + 9z = 261 ....... (4) {Multiplying with  both sides}

solving equations (1) and (4) we get

0.5y = 4

and ⇒ y = 8.

from equation (2) putting the value of y we get,  

4x + 4z = 116 - 48 = 68

⇒x + z = 17 .....(5)

Now, from equation (3) putting y = 8 we get,  

3x + z = 59 - 32 = 27 ....... (6)  

hence, solving equations (5) and (6) we get, 17 - x = 27 - 3x

⇒ 2x = 10

⇒ x = 5  

So, z = 17 - x = 12

therefore, the company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.

Answer:

420 m

Step-by-step explanation:

The distance travelled in 1 second:

2.8 m * 1.5 revolves

= 2.8 * 1.5

= 4.2 m

Distance travelled in 100 seconds:

4.2 m * 100

= 420 m

Hope this helped!

Answer: 5,

Step-by-step explanation: I got it right, and I hope this helps you! ✨

Answer:

the evaluation of the equation is 5

Step-by-step explanation:

To add fractions, find the LCD and then combine.

Answer:

75%

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

15   x  5           75

----      =          -------

20  x  5           100

Cent means 100, so percent literally means per 100 like in century or centennial. So, I put it into a fraction over 100. Now it is 75 per 100. If you remember, per 100 is percent, it means the answer id 75 percent. You can also write it as 75%.

Answer:

x = 7, arc DE = 198°

Step-by-step explanation:

Inscribed angles from the same arc are congruent.

∠ DCE and ∠ DWE are inscribed angles from the same arc DE , thus

12x + 15 = 3x + 78 ( subtract 3x from both sides )

9x + 15 = 78 ( subtract 15 from both sides )

9x = 63 ( divide both sides by 9 )

x = 7

Thus

∠ DCE = 12x + 15 = 12(7) + 15 = 84 + 15 = 99°

The inscribed angle DCE is half the measure of its intercepted arc, thus

arc DE = 2 × 99° = 198°

Answer: 2(9a + 8)

Step-by-step explanation:

2 is the only common factor of both 18 and 16. You put the common factor outside of the parenthesis. You divide 2 by both numbers and put the equation in the parenthesis.

Answer: each ticket cost 5 dollar

Step-by-step explanation: if you do 80 divide 16 you will get 5. So if you did 5x16 you would get 80.

Answer:

a and c

Step-by-step explanation:

Answer:

For example, the solution to the equations 2x + 3y = 15 and x - y = -10 is x = -3 ... Equation 2: 4x + 2y = 20

Answer:

x=0, y=0 this is so easy

Answer:

1:2

Step-by-step explanation:

By dividing both sides by 20 you will get 1:2 which is the same thing as 20:40 if you multiply 1:2 on both sides by 20

Answer:

1 : 2

Step-by-step explanation:

20 : 40

20/10 : 4/10

2 : 4

2/2 : 4/2

1 : 2

The no. of apples on the tree today

= The no. of apples on the tree yesterday - 5

Let us take 'the no. of apples on the tree today' as 'x'

and 'the no. of apples on the tree today' as 'y'

Therefore, x = y - 5

Hope this is the thing u are looking for

Answer:

4

Step-by-step explanation:

$2.50 → 10 ounces

$1.00 → (10/2.50 x 1.00) ounces = 4 ounces

Answer:

B. Her model cannot be improved.

Step-by-step explanation:

We make this conclusion because it seems Isabella's model isn't actually proffering any solution to increase/reduce the number of strikes she has had.

Hence, any changes made do not clearly seem to improve the present model she is using.

Answer:

The correct answer is D!

Step-by-step explanation: