find x
4 (x - 2y) - (5x + 3y) = 30
3 (3x + 7y) - 2 ( x + 9y ) = 12

The center of a circle that includes the points (-5, 2) and (-3, 6) could be (a) (0,2)

The points are given as:

(-5, 2) and (-3, 6)

The equation of  a circle is represented as:

[tex](x -a)^2 + (y - b)^2 = r^2[/tex]

Where:

Substitute both points in the above equation

[tex](-5 + a)^2 + (2 - b)^2 = r^2[/tex]

[tex](- 3+ a)^2 + (6 - b)^2 = r^2[/tex]

The radii are equal.

So, we have:

[tex](-5 + a)^2 + (2 - b)^2 = (- 3+ a)^2 + (6 - b)^2[/tex]

Expand the equations

[tex]25 -10a + a^2 + 4 - 4b + b^2 = 9 - 6a + a^2 + 36 - 12b + b^2[/tex]

Evaluate the like terms

[tex]25 -10a + 4 - 4b = 9 - 6a + 36 - 12b[/tex]

Collect like terms

6a -10a - 4b + 12b = 9  + 36  - 25 - 4

Evaluate

-4a + 8b = 16

Divide through by - 4

a - 2b = -4

Next, we test the options:

Option (a) (a,b) = (0,2)

Substitute these values in the equation

0 - 2*2 = -4

Evaluate

-4 = -4

Both sides of the equation are the same

Hence, the center of a circle that includes the points (-5, 2) and (-3, 6) could be (a) (0,2)

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Answer:

“How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question because one anticipates variability in students' ages.

a. To solve for the greatest common factor (GCF), we can determine the prime factors of 6, which is 2 and 3. Then for the other number, we can do the exact same thing. The prime factors of 8 are 1, 2, and 4. When matching the all the prime factors together, we notice that 2 is in both the prime factors.

This means that the GCF of 6 and 8 is 2.

b. To factor the GCF of 6 and 8, we can use the prime factors of both 6 and 8. That means:

6 + 8 = 2 × (3 + 4).

14 = 14

The room, the tables and the guests are illustrations of rectangles and areas.

This is calculated using:

Tables = Guest ÷ Guest per top table

So, we have:

Tables = 120 ÷ 12

Evaluate

Tables = 10

Hence, 10 tables are required for the top table

This is calculated using:

Covers = Number of spring ÷ Cover space

So, we have:

Covers = 3 ÷ 0.6

Evaluate

Covers = 5

Hence, 5 covers are required for each spring

This is calculated using:

Tables = Tables for top table ÷ Spring

So, we have:

Tables = 10 ÷ 3

Evaluate

Tables = 3.33

Remove decimal

Tables = 3

Hence, 3 tables are required for each spring

This is done to allow passage for walkway

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Answer:

Square root of 169 by Prime factorization is 13×13

Answer:

13*13

Hope this helped!

Answer:  

Area: 153.86

Circumference: 43.96

Answer:

the answer is A for the shaded region

Answer:

Below in bold.

Step-by-step explanation:

7,16,10,16,9,13,14

Arrange in ascending order:

7 9 10 13 14 16 16

The median = middle value

= 13 pounds.

Mean = (7+9+10+13+14+16+16)/7

= 12.14 pounds.

Answer:

Step-by-step explanation:

Volume

V = w h l

V = 2*15*13

V = 390 ft^3

-------------------------

Surface area

SA = b*h

SA = 15*13

SA = 195

-------------------------

b) Surface area

C) Volume

Answer:

611

Step-by-step explanation:

[tex]\frac{24 customers}{64 staff} = \frac{229 customers}{? staff}[/tex]

Solve for ? by cross multiplying and isolating ?staff.

You will get (64 x 229) / 24

Your answer will be ~ 611.

Answer:

3:2

Step-by-step explanation:

The value of the probability P(A and B) is 5/72 if the house numbers along a street consist of two-digit numbers, option (B) is correct.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total number of outcomes = 9×8  = 72

(because the total number of digits excluding 0)

Event A: choosing 8 as the first digit

Event B: choosing a number less than 6 as the second digit

Total favourable outcomes = 1×5 = 5

Because there are total 5 digits that are less than 6 {1, 2, 3, 4, 5}

Probability = 5/72

Thus, the value of the probability P(A and B) is 5/72 if the house numbers along a street consist of two-digit numbers option (B) is correct.

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Answer:

The answer is B I'm pretty sure.

Step-by-step explanation:

Time4Learning 2022 quiz

Answer:

+ 1.

Step-by-step explanation:

That would be (-2/2)^2

= + 1.

x2 - 2x + 1 = (x - 1)(x - 1)

[tex]\text{If a quadratic expression is a perfect square, then}\\\\~~~~~~~\text{Discriminant = 0}\\\\\implies b^2 -4ac = 0\\\\\implies (-2)^2 -4 c = 0\\\\\implies 4-4c = 0\\\\\implies 4c = 4\\\\\implies c = 1 \\\\\text{Hence, the last term should be 1.}\\\\x^2 -2x +1 = (x-1)^2[/tex]

Answer:

78 ft^2

Step-by-step explanation:

14x8 - (3x6) + (4×4)

112 - (18+16)

= 78ft^2

Answer:

Step-by-step explanation:

It nearly confused me, but I got the entire thing in my brain.

Given equation:

Solve:

Answer is 95.2.

Answer:

y = -3x - 1

Step-by-step explanation:

The slope intercepts the y-axis at -1, and moves down 3 on the y for every one space right on the x-axis

Answer:

you would need 11 containers but you would have some left over.

Step-by-step explanation:

Answer:

every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false

Step-by-step explanation:

Let's simplify step-by-step.

(6)(6)x−60x+900

=36x+−60x+900

Combine Like Terms:

=36x+−60x+900

=(36x+−60x)+(900)

=−24x+900

Answer:

=−24x+900

Answer:

m = 2

Step-by-step explanation:

Write the slope formula

Substitute: m = - 13 - 11/ - 9 - 3

Calculate the sum or difference: m = -24 / - 9 - 3

Calculate the sum or difference: m = -24 /-12

Reduce the fraction: m = 2

Answer: m = 2

Answer: m = 2

Step-by-step explanation:

Slope formula = [tex]\frac{y2-y1}{x2-x1}[/tex]

plug in values

[tex]\frac{-13-11}{-9-3}[/tex]

simplify

[tex]\frac{-24}{-12}[/tex]=2

⇒M = 2

Step-by-step explanation:

answer is in the picture above

a. The area of the rectangle: 16 units²

b. The area of the triangle on the left: 6 units²

c. Area of the triangle on the right: 10 units²

d. Area of the figure: 32 units²

a. l = 4 units

w = 4 units

Area of the rectangle = (4)(4) = 16 units²

b. b = 3 units

h = 4 units

Area of the triangle on the left = 1/2(3)(4) = 6 units²

c. b = 5 units

h = 4 units

Area of the triangle on the right = 1/2(5)(4) = 10 units²

d. Area of the figure = 16 + 6 + 10 = 32 units²

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Answer:

a: 16

b: 6

c:10

d: 32

Step-by-step explanation:

explained already <3

Answer:

-1

Step-by-step explanation:

The answer of this question is -1

Answer:

Step-by-step explanation:

The formula to calculate the area of a circle is

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

This means that if [tex]r = 5 "cm"[/tex], the area is

[tex]A = 5^2\pi " cm"^2 = 25 \pi " cm"^2 =(estimation) 78.539816 " cm"^2[/tex]

Answer:

See below

Step-by-step explanation:

We are given that a circle has a radius of 5 cm

We want to find the area of this circle

The area of a circle is given as [tex]\pi r^{2}[/tex], where r is the radius

As stated above, the radius of this circle is 5; ergo, r =5

We can substitute 5 as r in the formula

A = [tex]\pi r^{2}[/tex]

A = [tex]\pi (5)^{2}[/tex]

Raise 5 to the 2nd power

A = π * 25

A = 25π cm²

If you need your answer in terms of pi (or as an exact answer), the answer would be 25π cm² (don't forget your units!)

However, if your system wants pi approximated, see below:

If your system wants pi to be used as 3.14, then multiply 25 by 3.14; 25 * 3.14 = 78.5 cm²

If your system wants pi to be used as 22/7, then multiply 25 by 22/7; 25 * 22/7 ≈ 78.57 cm²

Answer:

B and D

Step-by-step explanation:

hope it helps in some way possible

Answer: -1/3

Step-by-step explanation:

The formula is y2 - y1/ x2 - x1 . So the answer would be -1/3 bc 3 - 2 = 1 and -11 - (-8) = -3.