Find the ordered pair (x,y) that is the solution to the problem 4x-y=5

Answer:

15:21 = 5:7

Step-by-step explanation:

21/7 = 3

5 x 3 = 15

Answer :

⠀

Explanation :

⠀

Solution :

where,

⠀

We know that,

\( {\longrightarrow \bf \qquad (AC) {}^{2} = (AB) {}^{2} +( BC) {}^{2} }

\)

⠀

Now, we will substitute the given values in the formula :

\( {\longrightarrow \sf \qquad (AC) {}^{2} = (8) {}^{2} +( 6) {}^{2} }\)

⠀

We know that, (8)² = 64 and (6)² = 36. So,

\( {\longrightarrow \sf \qquad (AC) {}^{2} = 64 + 36 }\)

⠀

Now, adding 64 and 36 we get :

\( {\longrightarrow \sf \qquad (AC) {}^{2} = 100 }\)

⠀

Now, we'll take the square root of both sides to remove the square from AC :

\( {\longrightarrow \sf \qquad \sqrt{(AC) {}^{2}} = \sqrt{100} }\)

⠀

\( {\longrightarrow \sf \qquad AC = \sqrt{100} }\)

⠀

We know that, square root of 100 is 10 .

\( {\longrightarrow \bf \qquad AC = 10 }\)

⠀

So,

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

More can be learned about the Empirical Rule at https://brainly.com/question/10093236

#SPJ1

The image you described features a number line that goes from 0 to 6.5 in increments of 0.5.

On this number line, there is an arrow that starts at 0 and extends to 2.5, and then continues from 2.5 to 5.

This image can be visualized as follows:

0        1        2        3        4        5        6        6.5

|--------|--------|--------|--------|--------|--------|--------|

        |------------------------|------------------------|

             0 to 2.5                 2.5 to 5

The vertical lines represent the increments of 0.5 on the number line, and the arrow indicates the segments from 0 to 2.5 and from 2.5 to 5.

For such more questions on increments

https://brainly.com/question/28345851

#SPJ8

Answer:

f'(x) = 5

Step-by-step explanation:

differentiate using the power rule

\(\frac{d}{dx}\) (a\(x^{n}\) ) = na\(x^{n-1}\) and \(\frac{d}{dx}\) (constant) = 0

given

f(x) = 5x + 5 , then

f'(x) = 5\(x^{(1-1)}\) + 0

     = 5\(x^{0}\) + 0

    = 5

The side length of the cube is 5.6 feet (rounded to the nearest tenth).

We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.

We can calculate s by taking the cube root of both sides of the equation:

\(s = (V)^{(1/3)\)

Substituting V = 141, we get:

\(s = (141)^{(1/3)\)

By using a calculator to evaluate this expression, we may determine:

s ≈ 5.6

As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.

for such more question on length

https://brainly.com/question/20339811

#SPJ11

Answer: Construct the bisector of angle A, then construct the bisector of one of the angles formed by the original bisector.

Answer:

The value of y is 216

(and the value of x is 12)

Step-by-step explanation:

The general formula for a geometric sequence is,

\(a_n = a_1(r)^{n-1}\)

Where n represents the nth term, a_1 is the first term and r is the common ratio,

we see that,

r = 6,

the first term is,

a_1 = (x-6)

the 2nd term is,

a_2 = 3x,

the 3rd term is,

a_3 = y, finding y,

first we find x, using the above given formula we have,

\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)

x = 12,

Now, for y we can use the relation between a_3 and a_2,

\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)

y = 216

Answer:

25%

Step-by-step explanation:

1/2 ×1/2

=1/4

=0.25

which is 25%

Option(A) is the correct answer is A. 1,335 birds.

To calculate the number of birds that will be left after 20 years, we need to consider the annual decline rate of 2%.

We can use the formula for exponential decay:

N = N₀ * (1 - r/100)^t

Where:

N is the final number of birds after t years

N₀ is the initial number of birds (2,000 in this case)

r is the annual decline rate (2% or 0.02)

t is the number of years (20 in this case)

Plugging in the values, we get:

N = 2,000 * (1 - 0.02)^20

N = 2,000 * (0.98)^20

N ≈ 2,000 * 0.672749

N ≈ 1,345.498

Rounded to the nearest whole number, the number of birds that will be left after 20 years is 1,345.

for similar questions on population.

https://brainly.com/question/30396931

#SPJ8

an right angle measures 90°

so 90/6 = 15°

The measure of each angle is 15°

Answer:

19

Step-by-step explanation:

My teacher explained it to me.

Answer:

19

Step-by-step explanation:

6 +39 :3

6 +13

19

Answer:

Choice D

Step-by-step explanation:

11.21 x 100% = 1,121%

Answer:

D. 1,121%

Step-by-step explanation:

100% = 1

so 11 = 1,000%

.01 = 1%

so .21 = 21%

Answer:

\(5n+10d=455\)

Step-by-step explanation:

Multiply both sides of the equation by 100.

Answer:

The slope is -3/4

Step-by-step explanation:

3x+4y = 8

We want to get the equation in slope intercept form

y = mx+b where m is the slope

Subtract 3x from each side

3x+4y-3x= -3x+8

4y = -3x+8

Divide by 4

4y/4 = -3x/4 +8/4

y = -3/4x +2

The slope is -3/4 and the y intercept is 2

The method that determines the volume of the prism is simply multiply the area of the base by the height, and the result is 12.5 cm³. (option-a)

To determine the volume of the prism shown in the diagram, we need to multiply the area of the base by the height.

The base of the prism is a rectangle with dimensions 5 cm by 2 cm. Therefore, the area of the base is:

A = length x width = 5 cm x 2 cm = 10 cm²

The height of the prism is 2-¹ cm, which is equivalent to 5/4 cm.

Therefore, the volume of the prism is:

V = A x h = 10 cm² x 5/4 cm = 12.5 cm³

The expressions involving unit cubes and one-quarter cubes are not relevant to this problem and do not provide a method for finding the volume of the prism.

For such more questions on volume

https://brainly.com/question/1972490

#SPJ8

Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).

Answer:

45

2

03

16

26

224

Step-by-step explanation:

The value of tangent AB as calculated from the given data is 14.4.

The tangents to the circle as given are PA and PB.

Let the point of intersection of PO and AB be X.

PA = 12  

OA = 9

As given that the triangle is right angled we can use hypotenuse theorem to calculate PO,

PO = √ PA²  + OA²

= √ 144 + 81

= 15

Now , the given triangles are similar because,

 AX / AO  =  PA / PO

 AX / 9  =  12 / 15

Therefore, the value of X is,

X  =  7.2

Now we know that AB's midpoint is X,

Hence , AB = 2X = 14.4

Tangent is known as a point which passes through a circle only at one single point A circle can have infinite tangents.

To learn more about tangents

brainly.com/question/19064965

#SPJ4

Step-by-step explanation:

Answer: 1/2

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

PEMDAS : Parenthesis, Exponent, Multiplication/Division, Addition/Subtraction.

First, we want to deal with the parenthesis within the parenthesis.

(4.6/2) = 2.3

Rewrite it into the equation.

[3 * 2.3] + 14.1 = ?

Now, do the work in the parenthesis again.

[6.9] + 14.1 = ?

There isn't anymore parenthesis, exponents, or multiplication/division, so we move onto addition now and add both terms.

6.9 + 14.1 = 21

? = 21

The answer is 21.

The transformation from the graph of f(x) = x to the graph of g(x) = (1/9)·x -2, is a rotation and a translation. The correct option is therefore;

The transformation are a rotation and a translation

A translation transformation is a transformation in which there is a displacement of all points on the preimage figure in a specified direction.

The transformation from f(x) = x to f(x) = (1/9)·x - 2, includes a slope reduction by a factor of (1/9), or rotating the graph of f(x) = x in the clockwise direction, and a translation of 2 units downwards, such that the y-intercept changes from 0 in the parent function, f(x) = x to -2 in the specified function f(x) = (1/9)·x - 2, therefore, the translation includes a rotation clockwise and a translation downwards by two units

The correct option is the second option; The transformation are a rotation and a translation

Learn more on rotation transformation here: https://brainly.com/question/29022349

#SPJ1

Answer:

1 is a

2 is c

3 is b

Step-by-step explanation:

The corresponding to Vector R is 4.8 units 47 East of South 4.8 units 47circ East of South

Vector C comprises a magnitude of -3.5i

Vector D is established as –3.3j (South bearing is thought to be negative along the y-axis).

Vector R = Vector D - Vector C

= (-3.3j) - (-3.5i)

= 3.5i - 3.3j

To evaluate the strength of Vector R, we must first compute its magnitude:

Magnitude of R = √((3.5)^2 + (-3.3)^2) ≈ 4.8 units.

determine the direction,

we shall need to calculate the angle θ with respect to the South direction (the negative y-axis):

tan(θ) = (3.5) / (3.3);

θ = arctan(3.5 / 3.3) ≈ 47°

Hence the answer is option 2

Read more on vector here:https://brainly.com/question/25705666

#SPJ1

Answer:

-4y + 20 + 2y - 77

Step-by-step explanation:

I hope this helps!

Answer:

11,000

Step-by-step explanation:

The three, in the hundreds place, Is below five so you round down.

The value of x is -12.07, and y is 3.07 for equation 1/2x + 6y = 12, y = x + 15.

We have to solve the given equations,  1/2x + 6y = 12 y = x + 15.

Equation; 1/2x + 6y = 12 and y = x + 15.

The given equations are solved by using the elimination method following all the steps given below.

The equations are,

\(\dfrac{1}{2}x + 6y = 12\\\\y = x+15\)

Substitute the value of y in equation 1 from equation 2,

\(\dfrac{1}{2}x + 6(x+15) = 12\\\\\dfrac{1}{2}x + 6x + 90 = 12\\\\\dfrac{x+12x+180}{2} = 12\\\\13x + 181 = 12 \times 2\\\\13x + 181 = 24\\\\12x = 24-181\\\\12x = -157\\\\x = \dfrac{-157}{13}\\\\x = -12.07\)

Substitute the value of x in equation 2,

\(y =- 12.07+15\\\\y = 3.07\)

Hence, The required value of x is -12.07, and y is 3.07 for equation 1/2x + 6y = 12, y = x + 15.

To know more about the Elimination method click the link given below.

https://brainly.com/question/1148245

Answer:

2

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Answer:

130 degrees

Step-by-step explanation:

DE+DA=130