Solve the following quadratic equation.

(x-16)^2=256

Answer:

[tex]\sqrt{80}[/tex]

Step-by-step explanation:

Pythagorean theorem (Gougu theorem) states that the hypotenuse squared is equal to the sum of the squares of two other sides. (a^2 = b^2 + c^2). Hence x^2 = 4^2 + 8^2 = 80.

As x squared is 80, x is the square root of 80.

You can factorise this into 4[tex]\sqrt{5}[/tex]

Answer:

i think 5

Step-by-step explanation:

Answer:

25-10=15

Step-by-step explanation:

Answer:

Slant height = 8 feet.

Step-by-step explanation:

If the perimeter of the square base = 12 then each side of the base = 12/4

= 3  feet and its area = 3*3 = 9 ft^2

The area of one of the triangular sides = 1/2 * 3 * h where h is slant height.

So total surface area = 57 = 9 + 4 * 1.5h

9 + 6h = 57

6h = 48

h = 8 feet.

Answer:

A

Step-by-step explanation:

i dnt know how to explain tht but hi

Answer:

3^6

Step-by-step explanation:

3^7 × 3^2= 3^9

3^9/ 3^3=3^6

Step-by-step explanation:

hope this helps!!!!!!!!!!!

Answer:

d = 637 ft below the surface

Step-by-step explanation:

Given

P = 14 + [tex]\frac{6}{13}[/tex] d

To find d when P = 308, then

14 + [tex]\frac{6}{13}[/tex] d = 308 ( subtract 14 from both sides )

[tex]\frac{6}{13}[/tex] d = 294 ( multiply by 13 to clear the fraction )

6d = 3822 ( divide both sides by 6 )

d = 637 ft

Answer:

Step-by-step explanation:

[tex]P=14+\dfrac6{13}d\\\\\\P=308\,,\qquad\qquad d=??\\\\\\308=14+\dfrac6{13}d\\\\ 308-14=\dfrac6{13}d\\\\294=\dfrac6{13}d\\\\d=294:\frac6{13}\\\\ d=294\cdot\frac{13}6\\\\d=637\,ft[/tex]

Answer:

True

Step-by-step explanation:

[tex]11^2=121\\12^2=144\\121<131<144[/tex]

Hence, [tex]\sqrt{131}[/tex] is in between 11 and 12

Answer:

A

Step-by-step explanation:

We are given that:

[tex]\tan(\theta)=1.3[/tex]

And we want to find:

[tex]\cot(90^\circ -\theta)[/tex]

Remember that tangent and cotangent are co-functions. In other words, they follow the cofunction identities:

[tex]\tan(\theta)=\cot(90^\circ-\theta)\text{ and } \cot(90^\circ-\theta)=\tan(\theta)[/tex]

Therefore, since tan(θ) = 1.3 and cot(90° - θ) = tan(θ), then cot(90° - θ) must also be 1.3.

Our answer is A.

Answer:

The slope is -1/4

Step-by-step explanation:

perpendicular line is [tex]y=-\frac{1}{4}x-6[/tex]

Answer:

-0.7073ft/sec

Step-by-step explanation:

Given the following

Distance covered by Ben = -29feet

Time taken = 41secs

Required

average change in depth each second(speed)

average change in depth each second = Distance/Time

average change in depth each second = -29/41

average change in depth each second = -0.7073ft/sec

Answer:

The answer is -29 divided by 41

Answer:

X+67=0

X=-67

X+127=0

X=-127

Step-by-step explanation:

Complete question :

A donation center has 44 small bins with 24 caned food in them they wanna give each food bank the same amount of food there are 4 food banks. How many cans should they give to each food bank?

Answer:

264 cans

Step-by-step explanation:

Number of bins = 44

Number of canned food per bin = 24

Total number of canned foods = (number of bins * number of canned food per bin)

Total number of canned foods = 44 * 24 = 1056

Food is to be distributed equally among 4 banks :

Number of food per bank = 1056 / 4 = 264

Answer:

Step-by-step explanation:

55654

Answer:

The equations 3·x - 6·y = 9 and x - 2·y = 3 are the same

The possible solution are the points (infinite) on the line of the graph representing the equation 3·x - 6·y = 9 or x - 2·y = 3 which is the same line

Step-by-step explanation:

The given linear equations are;

3·x - 6·y = 9...(1)

x - 2·y = 3...(2)

The solution of a system of two linear equations with two unknowns can be found graphically by plotting the two equations and finding the coordinates of the point of intersection of the line graphs

Making 'y' the subject of both equations gives;

For equation (1);

3·x - 6·y = 9

3·x - 9 = 6·y

y = x/2 - 3/2

For equation (2);

x - 2·y = 3

x - 3 = 2·y

y = x/2 - 3/2

We observe that the two equations are the same and will have an infinite number of solutions

Answer:

53.9 just do the math

Answer:

$210

Step-by-step explanation:

$389+$10=$399

$399+$200=$599

There is your answer

Answer:

The slope is 2

The y-intercept is 3

The equation is y = 2x +3

Step-by-step explanation:

The equation goes up 2 squares and over 1 square. 2/1 = 2

For y-intercept, look at the y-axis

The equation is supposed to be written as y = mx + b

m being the slope and b being the y-intercept.

Answer:

It equals 132.25. You can use a calculator.

The correct answer is 132.25

Answer:

Las longitudes que se forman entre los vértices y el centro de un polígono regular son;

Los radios del círculo circunscrito

Step-by-step explanation:

Cada círculo de radio, 'r', tiene un polígono que se puede inscribir polígono regular que tiene 'n' lados, donde n ≥ 3 y viceversa, todos los polígonos regulares se pueden inscribir (dibujar) en un círculo, que luego se conoce como la circunferencia del polígono

Dado que un polígono regular se puede inscribir en un círculo, de modo que sus vértices descansen sobre la circunferencia del círculo, entonces el centro del polígono es el centro del círculo que lo circunscribe.

Por lo tanto, las longitudes (iguales) que se forman entre los vértices y el centro del polígono regular son el radio del círculo que lo circunscribe..

Answer:

y=-x-1

Step-by-step explanation:

Answer:

y = - x - 1

Step-by-step explanation:

move x over and it becomes negative

Answer:

B) 8 to 12 years of experience. Enjoy the answer

Step-by-step explanation:

Answer:

$40,000 to $60,000 annual salary

Step-by-step explanation:

A cluster is formed when several data points lie in a small interval. The range of the cluster is the set of y-coordinates.

Answer:

upwards

Step-by-step explanation:

Whether a parabola opens upwards or downwards depends on "a". (A as in ax^2+bx+c). If A is greater than zero it opens upwards. Less than zero it opens downwards. In this case, A is one so it opens up

4 right angles

90 + 90 + 90 + 90 = 360

However, it that figure is a circle-- it may include 0 right angles since circles have no angles.

Answer:

18% intrest

Step-by-step explanation:

Answer:

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Answer:

do it yourself

Step-by-step explanation:

Stop cheating

Answer:

m∠3 = 24°

Step-by-step explanation:

By the theorem,

"Intercepted arc measures the double of the inscribed angle formed by two chords meeting at one point of the circle."

In the given picture,

∠3 is the inscribed angle subtended by the arc ED and is the intercepted arc.

Therefore, m∠3 = [tex]\frac{1}{2}m(\text{arc}ED)[/tex]

m∠3 = [tex]\frac{1}{2}(48)[/tex]

        = 24°

Measure of angle 3 is 24 degrees.