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Respuesta:

P = 16; Q = 24

P = 0; Q = 0

Explicación paso a paso:

Dada la relación:

8 (2x + 3) = Px + Q

Abra el soporte

16x + 24 = Px + Q

Los valores de P y Q para los que la ecuación tiene infinidad de solución:

Px = 16x

Q = 24

Por tanto, en P = 16; Q = 24, la ecuación tiene infinidad de soluciones.

Valores de P y Q para los que la ecuación no tiene solución:

Px = 0; P = 0

Q = 0

Por tanto, los valores de P y Q para los que la ecuación no tiene solución es 0

Answer:

I select the third option and the last linear equation

Answer: length of rectangle GFKJ = FK = (30 – 8) = 22 feet

width of rectangle GFKJ = GF = 5 feet

area of rectangle GFKJ = length × width

= 22 × 5

= 110 square feet

I wish that helped

Step-by-step explanation:

Answer: I'm prett sure its c) 60, 90, and 120

Step-by-step explanation:

Answer: it’s 20 hope this helps:)

Step-by-step explanation:

Answer

The answer is 20

Answer:

H and I

Step-by-step explanation:

because the sides opposite the angles are congruent. the angles H and I are congruent

Answer:

Imagine an easier version of this problem:  You have a board 5 feet long that you must cut (divide, right?) into two equal parts.  It is probably clear to you that you simply divide the length (5) by the number of parts you're dividing it into (2) to obtain the length of each piece (2.5 feet).

Use the same method for your problem 5 feet divided by 6 is 0.83 feet per piece.

We do not ordinarily divide feet into decimal portions, but instead into inches.  Since an inch is 1/12 of a foot, you could simply say 5/6 = how many twelfths?  or 5/6 = n/12  Solve this by inspection or by cross multiplying 5 times 12 equals n times 6.  So n must equal 10, and your pieces of board are each 10 inches long.

Answer:

x = 7

Step-by-step explanation:

Hope this helps! : )

Answer:

[tex]x = 25 \degree \: (alternate \: interior \: angles)[/tex]

Answer:

25 degrees because the angle right on the other side is also 25 degrees

Answer:

3.14159265359

Step-by-step explanation:

The scenario does not match the expression, the expression is 4 - 16 so it would be 16 fewer than 4 songs

Answer:

sin ∅ = 24/25

Step-by-step explanation:

These are the trigonometric ratios

Remember SOHCAHTOA

Sine = Opposite over Hypotenuse (SOH)

Cosine = Adjacent over Hypotenuse (CAH)

Tangent = Opposite over Adjacent (TOA)

We are asked to find sin ∅

The trig function sin = opposite over hypotenuse

so we need to find the opposite side length of the indicated angle (∅)

The opposite side length is equal to 24

Then we find the hypotenuse ( the longest side length ) which would be 25

so sin ∅ = 24/25

Answer:

17

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√[4 - (-4)]² + [8 - (-7)]²

√(8)² + (15)²

√64 + 225

√289

=17

Answer:

points (8, 0) and (3, 0)

Step-by-step explanation:

Here we're being asked to find the roots of this quadratic equation.

Set f(x) = 3(x² - 11x + 24 = 0.

This factors into f(x) = 3(x - 8)(x - 3) = 0.

Then x - 8 = 0 and x - 3 = 0, yielding x = 8 and x = 3.  These correspond to the points (8, 0) and (3, 0).

Answer:

The smallest possible length for the third side would be 36 whatever-the-nineteen-and-the-sixteen-unit.

Step-by-step explanation:

In a triangle, sides a+b>c, b+c>a So, we first add up the two known sides.

Now we know that "c" has to be greater than 35, the closest whole number would be 36. And because the smaller numbers, 19 and 16, are settled, we know just by the fact how just one number is greater than all of the others, using the rule that I listed from the beginning, that this will work.

Answer:

22

Step-by-step explanation:

a²+b²=c²

14²+17²=c²

c²=485

√c²=22.0227

c=22.0227

smallest whole number is 22

Answer:

The initial value is;

y = 16

Step-by-step explanation:

Here, we want to get the initial value of y

Generally, for an exponential function,

we have the form as;

y = a•b^x

where the initial value is the value we have when x = 0

Looking at the given function, substituting x = 0

We have the function as;

y = 16(0.75)^0

y = 16 * 1

y = 16

So the initial value is 16

The greatest common factor for 30 and 90 would be 30.

30 x 1 = 30 and 30 x 3 = 90

There is no letter j in the second term so rule j out.

The GCF of k^3 and k^2 would be k^2

The answer would be B. 30k^2

The interest added at the end of the year is $10, The total goal of O’Neill Raiders fundraiser is $2500 and Sameer scored better than 507 students.

Percentage is the parts of a number per fraction of 100. We can divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

Initial amount, P = $250

Rate of interest, r = 4% = 0.04

Interest amount = P × r × t, where t is the number of years = 1 here.

                          = 250 × 0.04 × 1

                          = $10

28% of the total fundraising goal = $700

Let x be the total fundraising goal.

28% × x = 700

0.28x = 700

x = 700 / 0.28 = $2500

Total number of students = 650

Sameer scored better than 78% of all students.

Number of students that Sameer scored better = 78% × 650

                                                                               = 0.78 × 650

                                                                               = 507

Hence all the answers are found.

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Answer:

second option

Step-by-step explanation:

-4 [tex]\leq[/tex] x [tex]\leq[/tex] 2

-4 [tex]\leq[/tex] y [tex]\leq[/tex] 4

Answer:

A. (8,14)

Step-by-step explanation:

When looking at the chart pairs there is no other matching option than (8,14).

You have to look in at each column to see the pairs (ex. 8,16 and 4,10).

Answer:

3

Step-by-step explanation:

Answer:

the measure of angle A to the nearest degree is 36°

The measure of angle A to the nearest degree is 21°.

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

We can use the inverse sine function (denoted as sin⁻¹ or arcsin) to find the measure of angle A:

sin A = 0.3642

Taking the inverse sine of both sides, we get:

A = sin⁻¹(0.3642)

Using a calculator, we get:

A ≈ 21.3°

Rounding to the nearest degree, we get:

A ≈ 21°

Therefore,

The measure of angle A to the nearest degree is 21°.

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Answer: (20, 5) or (5, 20)

Explanation: An ordered pair is made up of a set of numbers, one number for each dimension, contained in a set of parenthesis and separated by commas. In this problem, there are two dimension; red beads and blue beads. The ordered pair is comprised of the number of red beads (20) and the number of blue beads (5). Following the format previously described we get the answer (20, 5). You can also write (5, 20) since neither number depends on the other.

Answer:

the answer $1,236

Step-by-step explanation:

Answer:

The solution to the equation is x = 0.38 or -18.38

Step-by-step explanation:

x^2+18x=7 can be properly written as

[tex]x^{2} +18x =7[/tex]

To solve by completing the square, divide the coefficient of x by 2, square and then add to both sides

i.e 18/2 = 9

Then add 9² to both sides of the equation

[tex]x^{2} +18x + 9^{2} = 7 + 9^{2}[/tex]

This becomes

[tex](x+9)^{2} = 7 + 81[/tex]

[tex](x+9)^{2} = 88[/tex]

[tex]x+9 = \pm \sqrt{88}[/tex]

[tex]x = -9 \pm\sqrt{88}[/tex]

[tex]x = -9 \pm 9.38[/tex]

∴ [tex]x = -9+9.38 or -9-9.38[/tex]

[tex]x = 0.38 or -18.38[/tex]

Hence, x = 0.38 or -18.38