The perimeter of a rectangular school yard is 264 meters. The school yard is 89 meters long. How wide is it?​

The steps Sergey could use to solve the quadratic equation by completing the square is 5(x2 + 4x) = –7

We should know that in completing the square method both sides of the equation are made perfect squares.

The given equation is 5x²+20x-7=0

Solving this equation by completing the square method we have

5(x²+4x+4)=-7

This means that (x+2)=±√27/5

Simplifying further we have

5(x²+4x)=7

Then expanding to make ²HS a perfect square we have

5(x²+4x+4)=7+20

This means that 5(x²+4x)=-7

Therefore the step he could use is 5(x²+4x)=-7\

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Step-by-step explanation:

you just have to put that value in place of x in the function.

don't be so lazy you a hole do it yourself

Step-by-step explanation:

the center of the circle is the midpoint of the diameter.

and the radius is the distance of the midpoint to either endpoint (or simply half of the distance between the diameter endpoints).

the midpoint between points A and B

(xm, ym) = ((xa + xb)/2, (ya + yb)/2)

in our case the midpoint (center of the circle) is

((-6 + 2)/2, (10 + 3)/2) = (-4/2, 13/2) = (-2, 6.5)

about the radius

diameter² = (-6 - 2)² + (10 - 3)² = (-8)² + 7² = 64 + 49 =

= 113

diameter = sqrt(113) = 10.63014581...

radius = diameter / 2 = 5.315072906... ≈ 5.315

The area of a triangle with the given base and height is 4 1/6 square inches.

Given that, the base of a triangle is 1 2/3 inches and the height of a triangle is 5 inches.

The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane. The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.

Now, the mixed fraction 1 2/3 can be written as 5/3

The area of the triangle=1/2 × 5/3 × 5

To multiply the fractions multiply the numerators of the fraction and write the product in the numerator and multiply the denominators of the fractions and write the product in the denominators.

That is, (1/2 × 5/3) × 5/1

=5/6 × 5/1

=25/6

=4 1/6

So, the area of a triangle with a base of 5/3 inches and height 5 inches is 4 1/6 square inches.

Therefore, the area of a triangle with the given base and height is 4 1/6 square inches.

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In this problem

we have that

If the matrix has four rows

then

the number of variables is four

but the number of columns must be five not six

therefore

system is inconsistent

Answer:

A = 22.62°

B = 67.38°

c = 26

Step-by-step explanation:

\(a^2+b^2=c^2\\10^2+24^2=c^2\\100+576=c^2\\676=c^2\\26=c\)

\(\sin A=\frac{\text{Opposite}}{\text{Hypotenuse}}=\frac{10}{26}\\\\A=\sin^{-1}(\frac{10}{26})\\\\A\approx22.62^\circ\)<-- You can also use other trig ratios

\(B=180^\circ-(90^\circ+22.62^\circ)=180^\circ-112.62^\circ=67.38^\circ\)

There's no specific order in how to solve for A and B, so there may be more than one way to approach these solutions.

A' - (-1,4)

B' - (-1,8)

C' - (-5,4)

hope this helps

We have the next function:

with the next form:

The parent function represents a parabola with the form:

Answer:

i'm not sure if it is right

Step-by-step explanation:

1, B

g(f(x)) --> g(-2x+2)=3x+2

              g(-2x+2)=3.(-2x+2)+2=-6x+6+2=-6x+8

2,

#1: Write as a linear equation

     y=4x+8

#2: Swap x and y variables

     x=4y+8

#3: Solve for y

     4y+8=x

     4y=x-8

       y=\(\frac{x-8}{4}\)

#4: Write in inverse notation:

\(f^{-1}\)(x)=\(\frac{x-8}{4}\)= (x/4) - 2

Answer:

\(\huge\boxed{y+3=-(x+2)}\\or\\\boxed{y-3=-(x+8)}\)

Step-by-step explanation:

The point-slope form of an equation of a line:

\(y-y_1=m(x-x_1)\)

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

Put the coordinates of the given point:

(-2, -3); (-8, 3)

\(m=\dfrac{3-(-3)}{-8-(-2)}=\dfrac{3+3}{-8+2}=\dfrac{6}{-6}=-1\\\\\text{for}\ (-2;\ -3)\\\\y-(-3)=-1(x-(-2))\\\\y+3=-(x+2)\\\\\text{for}\ (-8;\ 3)\\\\y-3=-1(x-(-8)\\\\y-3=-(x+8)\)

Answer:

The circumference is 565.2 feet when the ferris wheel makes 4 rotations.

Step-by-step explanation:

Given that the diameter of the wheel is 45 feet.

That is:

\(d = 45\ feet\)

We have to find the radius first

\(r = \frac{d}{2} = \frac{45}{2} = 22.5\ feet\)

The circumference of the circular wheel for one rotation will be:

\(C = 2\pi r\)

And for four rotations' circumference the circumference of one rotation will be multiplied with 4.

\(C = 2 * 3.14 * 22.5\\C = 141.3\ feet\)

Total circumference:

\(C_T = 4C\\= 4 * 141.3\\=565.2\ feet\)

Hence,

The circumference is 565.2 feet when the ferris wheel makes 4 rotations.

Answer:

79665

Step-by-step explanation:

26555 + 26555 is 53110 then add 26555 again at it equals 79665

Answer:

79665

Step-by-step explanation:

26555 multiply by 3 is equal to 79665

Answer: A

Step-by-step explanation:

\(\frac{6.3\cdot \:10^8}{9\cdot \:10^2}\)

\(=\frac{6.3\cdot \:10^6}{9}\) --> Exponent rule for division, 10^8/10^2 = 10^6

= 700,000 --> In scientific notation, 7.0×10^5

The leading coefficient of the quadratic function is given as follows:

a = -0.1.

The quadratic function is defined as follows:

y = -0.1(x - 40)² + 160.

A quadratic function with vertex at coordinates (h,k) is given as follows:

y = a(x - h)² + k

It also reached a maximum height of 160 feet, and it was kicked from the ground, meaning that this height was reached at a distance of 40 feet and the vertex is given as follows:

(40, 160).

Hence:

y = a(x - 40)² + 160.

The ball landed 80 feet from where it was kicked, hence when x = 80, y = 0, and the leading coefficient a is calculated as follows:

0 = a(80 - 40)² + 160

1600a = -160

a = -0.1.

Hence the equation is:

y = -0.1(x - 40)² + 160.

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Answer: y=3/2x-13/2

Step-by-step explanation:

concept to know: two parallel lines have the same slope

y=3/2x+b

in order to find b or the y-intercept, we plug the point in

y=3/2x+b

1=3/2(5)+b

1=15/2+b

b=-13/2

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

y=3/2x-13/2

Hope this helps!! :)

Answer:

yessss that's correct!

Step-by-step explanation:

Answer:

c because you dont need the extra zero on the 8

Answer:

Tangent

Step-by-step explanation:

if the angle in question is the bottom of the ladder and the ground, then tangent is opposite over adjacent... or 12/5

Hope this is right

The item most likely to weigh 2 kilograms is a roast chicken.

The size, breed, and any other ingredients or stuffing used can all affect the weight of a roast chicken. Weights of roast chickens can range from petite ones weighing less than 1 kilogram to larger ones weighing more than 2 kilograms.

The other things that we have there would either weigh less than 2 Kg such as a tea bag or much more than 2 Kg such as a horse. The egg and the tea a very light and would be less than 2 Kg in weight while the bag and the horse would be above 2 Kg in weight.

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Answer:

ok lol

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula for the volume of a rectangular prism is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.

We know that V = 5,890.625 cm^3, h = 14.5 cm, and l = 25 cm.

Substituting these values into the formula, we get:

5,890.625 = 25w(14.5)

5,890.625 = 362.5w

w = 16.25

Therefore, the width of the rectangular prism is 16.25 cm.

Answer:

It's A

Step-by-step explanation:
well all you have to do is divide like 5,890.625 dvided by 14.5 then divide again by 25 them bam you got 16.25

Answer:

Brooke finished faster

Step-by-step explanation:

Brooke: 60m(1 hr)+55m=115m

Lamont: 125m

Answer:

Brooke

Step-by-step explanation:

I25 minutes is 2 hours and 5 minutes. Brooke finished faster.

Answer:

i think its 6 cups

Step-by-step explanation:

Answer:

The correct answer to the following question will be Option 1 (All Montana residents).

Step-by-step explanation:

Other choices aren't linked to just the scenario in question. Option 1 seems to be the perfect solution.

Answer:

B-log(x-4)

Step-by-step explanation:

Have a nice day lol i just know things

The equation as a single logarithm is:

\(log[(x^2 - 16)/(x + 4)].\)

Option C is the correct answer.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Using the logarithmic identity,

log a - log b = log (a/b)

We can simplify the given expression as:

\(=log(x^2 - 16) - log(x + 4) \\= log[(x^2 - 16)/(x + 4)]\)

Therefore,

The equation as a single logarithm is:

\(log[(x^2 - 16)/(x + 4)].\)

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Answer:

5. Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

The required, simplified expression is 2x - 6y(2a - x) + 6y.

To simplify the expression (2x+6yx)-(12ay+-6y), we need to distribute the negative sign to the second term.

2x - 6y(2a - x) + 6y.

Now we can combine like terms, which means adding up any terms that have the same variables raised to the same powers. In this case, we have two terms with "x" and two terms with "y". Combining them, we get:

2x+6yx-12ay+6y = 2x - 12ay + 6yx + 6y
                           = 2x - 6y(2a - x) + 6y

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Answer:

A)

Function A: Exponential

Function B: Linear

Function C: Exponential

Function D: Exponential

B) Function A

Step-by-step explanation:

Function A: This is exponential because- (1, 3)(2,9)(3,27)

It is not going up by the same number each time. However, it is multiplying by 3 each time which means it is exponential.

Function B: This is linear because- (1, 64)(1, 80)(1, 96)

It is going up by 16 each time, (a constant number) which means it is linear.

Function C: This is exponential because- there is a curve, linear is always a straight line. But, this has a curve which means it is exponential.

Function D: This is exponential because- It is increasing by a percentage and not a constant number. It is increasing by 1% which means it is exponential.

The function that has the greatest growth factor is Function A because, Function A multiplies by 3 each time. Function B is linear, exponential functions always pass linear functions despite how "steep" they are. Eventually, the exponential function will surpass it. Function C is also exponential but is not as "steep" as Function A. Function A multiplies by 3 each time but Function C increases less. Function D is also exponential, and for the same reasons as Function C, Function A has the greatest growth factor.

The transformations that change the domain of a function are given as follows:

The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.

Hence we must look at transformations that change the values of x of the function, which are given as follows:

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