A small town of 1,000 people increases its population by 2,000 the grocery store raises its prices to match the new equilibrium price point

Step-by-step explanation:

The equation is y = -3x + 6.

Answer:

3y = 5x + 15

Step-by-step explanation:

Slope = Change in y-cordinates

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

Change in x-cordinates

= 0 - (-5)/-3 - (-6)

= 5/3

Using point (-3,0)

y - y1 = m(x - x1)

y - 0 = 5/3 (x - (-3))

y = 5/3 (x + 3)

Expand the bracket

y = 5x/3 + 15/3

Multiply through by 3

3y = 5x + 15

Answer:

6

Step-by-step explanation:

This triangle is a special right triangle. In triangles with the angles 30, 60, and 90, the side opposite of the 30 degree angle will always be half the length of the hypotenuse. The hypotenuse is the longest side of a right triangle. In a 30 60 90 triangle, the long side will be equal to the short side multiplied by the squareroot of 3, but that is not needed for this problem. Since the hypotenuse is 12, the side opposite of the 30 degree angle, labeled "s h o r t" will be half of 12. Half of 12 is equal to 6, therefore the short side will be equal to 6.

lmk if i made a mistake, hope this helps :)

Answer:

292 feet

Step-by-step explanation:

If Emily walked round the two rectangular parks, she walked round the perimeter of the parks.

the total distance she walked can be determined by calculating the perimeter of each of the park and adding the perimeters together

Perimeter of a rectangle = 2 x ( length + breadth)

Perimeter of the first park = 2 x (54 ft + 38 ft) = 184 ft

Perimeter of the second park = 2x (32 + 22) = 108 ft

Sum of the perimeters = 184 ft + 108 ft = 292 ft

Answer:

c

Step-by-step explanation:

The answer is Option A.

x + 1 - i ) (x + 1 + i)

Solution:

x (x+2) +2

(x+1)² + 1

= (x + 1 - i ) (x + 1 + i)

Answer:

Step-by-step explanation:

for the expression you wrote: x2 + 2x + 2 the answer is: none

the expression you have there is: x² + 2x + 2 and the answer is: a

by expanding a:

(x + 1 - i ) (x + 1 + i) = x² + x + xi + x + 1 + i - xi - i  + 1

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

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

Answer:

The original point is [tex]P(x,y) = (3,9)[/tex].

The distance between the points is 18 units.

Step-by-step explanation:

The reflection of a point with respect to the x-axis is defined by the following operation:

[tex]P(x,y) = (x,y) \to P'(x,y) = (x, -y)[/tex] (1)

Where:

[tex]P(x,y)[/tex] - Original point.

[tex]P'(x,y)[/tex] - Resulting point.

If we know that [tex]P'(x,y) = (3, -9)[/tex], then the original point is [tex]P(x,y) = (3,9)[/tex].

The original point is [tex]P(x,y) = (3,9)[/tex].

The distance between the points ([tex]d[/tex]), in units, is determined vectorially by the following expression, which is equivalent to the Pythagorean Theorem:

[tex]d = \sqrt{[P'(x,y) -P(x,y)]\,\bullet\,[P'(x,y) -P(x,y)]}[/tex]

[tex]d = \sqrt{(0,18)\,\bullet (0,18)}[/tex]

[tex]d = \sqrt{0^{2}+18^{2}}[/tex]

[tex]d = 18[/tex]

The distance between the points is 18 units.

Answer:(3,9) Distance 18 units.

Step-by-step explanation:

Answer: 5 triangles to 8 shapes

5:8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step-by-step explanation:

angle b = 71°

so, x + b = 180° ( linear pair )

x + 71° = 180°

x = 180° - 71°

x = 109°

Now, a + y = 180° ( linear pair )

93° + y = 180°

y = 180° - 93°

y = 87°

Hence, the value of x is 109° and y is 87°.

Answer:

97

Step-by-step explanation:

if something is 100% then it is itself 1 is 100% of 1     76 is 100% of 76 and so on

9514 1404 393

Answer:

  486√3 ft² ≈ 841.8 ft²

Step-by-step explanation:

The area of a regular hexagon with side length s is ...

  A = (3√3)/2s²

For the side length of 18 ft, the area is ...

  A = (3√3)/2(18 ft)² = 486√3 ft² ≈ 841.8 ft²

Answer:

960

Step-by-step explanation:

We need to find 1/5 of 4800, we will do:

4800/5=960

So 960 is our answer.

Answer:

Part a: tape measure part b: 48 and part c: 2x24, 4x12, 8x6, and 3x16

Step-by-step explanation:

let me know if it’s correct

Answer:

b = -6.307 or -11.693

Step-by-step explanation:

[tex]b^{2} +9b +13\\[/tex]

This can't be factored so you need to use the quadratic formula which is

-b ± [tex]\frac{\sqrt{b^{2} -4ac}}{2a}[/tex]

Plugging the numbers from the equation in, it's

-(9) ± [tex]\frac{\sqrt{(9)^{2}-4(1)(13) } }{2(1)}[/tex]

This simplifies down to b = -6.307 or -11.693.

These are both real solutions.

Answer:

b = -6.307 or -11.693

Step-by-step explanation:

hope it helps credits to first guy tho

Answer:

x= -0.36

firstly you need to open the brackets

-3(3x +6) + 2=9

-9x -18 + 2=9

secondly join the like terms together

-9x = 9 + 18 - 2

-9x = 25

thirdly you divide both sides by 25

-9x ÷ 25 = -0.36

x= -0.36

Answer:

negative

positive

Step-by-step explanation:

Answer: positive

positive

Step-by-step explanation:

Step-by-step explanation:

answer=-1

answer:

i believe the answer is "a"

good luck :) hopefully, this helps

have a great day !!

Answer:

link to answer

https://visualfractions.com/calculator/divide-fractions/what-is-1-12-divided-by-36-36/

Answer:

This is 0.002 but I think you mean

36 divided by 1/12=

3

Answer:

10.03

Step-by-step explanation:

Answer:

the first choice

Step-by-step explanation:

the most talented ones are at the top of the list.

find area of 1 small bubble

πr² = π × 5²

= 78.54

total area of 4 small bubble

78.54 × 4 = 314.16

total area of 4 small bubble = area of big bubble

= 314.16

find it's radius

πr² = 314.16

r² = 314.16 ÷ π

r² = 100

r = √100

r = 10

Answer:

AREA OF LARGE BUBBLE=PI×R^2

AREA OF 1 SMALL BUBBLE =PI×r^2

then area of 4 small bubble =(PI×r^2)×4

now,

area of large bubble =area of 4 small bubble

PI×R^2=4×(PI×r^2)

R= 10 cm