solve for a if 2a²+2a+1=o​

Answer:

Step-by-step explanation:

-6

Answer:

16

Step-by-step explanation:

I explained every step in the picture, I hope you understand it.

Answer:

Step-by-step explanation:

U={x|x∈N and x<10}

or U={1,2,3,4,5,6,7,8,9}

B={x|x∈N and x is even and x<10}

or

B={2,4,6,8}

C={x|x∈N and x<10}

or

C={1,2,3,4,5,6,7,8,9}

(B∩C)={2,4,6,8}

(B∩C)'={1,3,5,7,9}

The function is given by:

Since the term into the parenthesis is greater than 0 but less than 1, we can state that this function is decaying exponentially at a rate of 100*0.975 = 97.5% every day.

Answer:

Perimeter of JKL = 22.55 unit (Approx.)

Step-by-step explanation:

Given:

Coordinate of J = (2,3)

Coordinate of K = (10,4)

Coordinate of L = (6,10)

Find:

Perimeter of JKL

Computation:

Distance = √(x1 - x2)² + (y1 - y2)²

Distance between JK = √(2 - 10)² + (3 - 4)²

Distance between JK = √64 + 1

Distance between JK = √65

Distance between JK = 8.06 unit

Distance between KL = √(10 - 6)² + (4 - 10)²

Distance between KL = √16 + 36

Distance between KL = √52

Distance between KL = 7.21 unit

Distance between LJ = √(6 - 2)² + (10 - 3)²

Distance between LJ = √4 + 49

Distance between LJ = √53

Distance between LJ = 7.28 unit

Perimeter of JKL = Distance between JK + Distance between KL + Distance between LJ

Perimeter of JKL = 8.06 + 7.21 + 7.28

Perimeter of JKL = 22.55 unit (Approx.)

Answer:

B. Too little information.

Step-by-step explanation:

The information provided in the problem is sufficient to determine the total weight of what Harvey lifted. Therefore, the problem has:

B. Too little information.

Answer:

Step-by-step explanation:

for IV you do 40^2+30^2=c, or 1600+ 900=c. c= 2500 and unsquare that you get 50

Answer:

the ans of III is 50 and IV is12

Answer:

m = 25 + 6n

Step-by-step explanation:

To write a function for the amount of money Makayla spent going to the movies during the club, you need to consider two things: the annual registration fee and the discounted ticket price. The annual registration fee is a fixed amount that does not depend on the number of movie tickets Makayla purchases. The discounted ticket price is a variable amount that depends on the number of movie tickets Makayla purchases. You can use a letter, such as n, to represent the number of movie tickets Makayla purchases. Then, you can write an expression for the amount of money Makayla spent on movie tickets, which is 6 times n, or 6n. To find the total amount of money Makayla spent going to the movies during the club, you need to add the annual registration fee and the amount of money spent on movie tickets. This gives you the expression 25 + 6n. You can use another letter, such as m, to represent the total amount of money Makayla spent going to the movies during the club. Then, you can write an equation that relates m and n, which is m = 25 + 6n. This equation is a function that models the amount of money Makayla spent going to the movies during the club as a function of the number of movie tickets she purchased.

Answer:

\(a \\ \frac{50}{0.25} = 200 \: \frac{km}{ {h}^{2} } \\ b \\ the \: area \: under \: graph = whole \: distance = \\ = 50 \times (2 + 1.5) \times 0.5 + \\ + 50 \times (0.5 + 1) \times 0.5 = 125km \\ c \\ \ \: average \: speed \: = \frac{125}{2} = 62.5 \frac{km}{h} \)

Step-by-step explanation:

hope it helps youu.........

Answer:

well... uhm...its...uhm... 39.9

Step-by-step explanation:

Answer:

A. 11.2

Step-by-step explanation:

But this has nothing to do with 5.6 × 2. Erase that! Lol.

You have a right triangle here. The only thing to do with the circle is that there are two radii (plural of radius) shown. So they have to be the same measure.

The unmarked "bottom" of the triangle, the short leg, is a radius, so it too, is 8.4.

The hypotenuse of the right triangle, the side on the right, the longest side is 5.6 + 8.4.

The hypotenuse is 14.

Let's do some Pythagorean Theorem.

Leg^2+ leg^2=hypotenuse^2

you know,

a^2 + b^2 = c^2

fill in what we know.

8.4^2 + b^2 = 14^2

simplify.

70.56 + b^2 = 196

subtract 70.56

b^2 = 125.44

squareroot both sides

b = 11.2

Answer: 60.2 inches

The perimeter of the triangle is 80.24 inches.

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

Given:

Altitude = 24 inches

Base = 11 inches

Half of the base = 11/2 = 5.5 inches

Using Pythagoras theorem:

Hypotenuse = √(24² + 5.5²)

Hypotenuse = √(576+ 30.25)

                     = √606.25

                     =  34.62 inches

Now, perimeter of a triangle

= (base + side 1 + side 2)

= (11 + 34.62+ 34.62)

= 80.24 inches

Hence, the perimeter of the triangle is 80.24 inches.

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Answer:

1. 2 + 12i

2. -3 - 4i

3. 7 - 11i

4. -9i

Step-by-step explanation:

just add and subtract like 'i' is a variable and make sure the answer is in the form a+bi

Answer:

8 1/5

Step-by-step explanation:

Answer:

8.2 or 41/5

Step-by-step explanation:Sorry if its wrong!!!!

The value of the inequality is x > 1

Inequalities are defined as arithmetic relations which makes a non-proportional comparison between two elements, ratios or other mathematical equations.

It is important to note that absolute values of a number is the value of the number from zero irrespective of its direction.

We have the inequality;

4-2|5x+3| > -12

Determine the absolute value

4 - 2( 5x + 3) > -12

expand the bracket

4 - 10x - 6 > -12

collect like terms

-10x > - 10

Make 'x' the subject of formula by dividing both sides by the coefficient of x, we have;

- 10x/ -10 > - 10/ -10

Find the ratio

x > 1

Hence, the value is x > 1

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The values of the other trigonometric functions for the given values of sin(Ф) and cos(Ф) are as follows, cos(Ф) = -5/4, sec(Ф) = -4/5, tan(Ф) = 16/25, cot(Ф) = 25/16.

To find the values of the other trigonometric functions of Ф, we can use the given information of sin(Ф) and cos(Ф).

We know that sin(Ф) = -4/5 and cos(Ф) = -5/4.

Recall that cos(Ф) is the reciprocal of sin(Ф), so we can determine cos(Ф) by finding the reciprocal of sin(Ф):

cos(Ф) = 1/sin(Ф) = 1/(-4/5) = -5/4

Similarly, we can find sec(Ф) by taking the reciprocal of cos(Ф):

sec(Ф) = 1/cos(Ф) = 1/(-5/4) = -4/5

To find tan(Ф), we can use the identities tan(Ф) = sin(Ф)/cos(Ф):

tan(Ф) = sin(Ф)/cos(Ф) = (-4/5)/(-5/4) = 16/25

Next, we can find cot(Ф) by taking the reciprocal of tan(Ф):

cot(Ф) = 1/tan(Ф) = 1/(16/25) = 25/16

Finally, we can find sec(Ф) by taking the reciprocal of csc(Ф):

cot(Ф) = 1/csc(Ф) = 1/(-5/4) = -4/5

Therefore, the values of the other trigonometric functions for the given values of sin(Ф) and cos(Ф) are as follows:

cos(Ф) = -5/4

sec(Ф) = -4/5

tan(Ф) = 16/25

cot(Ф) = 25/16

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This is the same as writing y = sqrt(4(x+5)) - 1

===============================================

Explanation:

The given graph appears to be a square root function.

The marked points on the curve are:

Reflect those points over the line y = x. This will have us swap the x and y coordinates.

Recall the process of reflecting over y = x means we're looking at the inverse. The inverse of a square root function is a quadratic.

----------

Let's find the quadratic curve that passes through (1,-4), (3,-1) and (5,4).

Plug the coordinates of each point into the template y = ax^2+bx+c.

For instance, plug in x = 1 and y = -4 to get...

y = ax^2+bx+c

-4 = a*1^2+b*1+c

-4 = a+b+c

Do the same for (3,-1) and you should get the equation -1 = 9a+3b+c

Repeat for (5,4) and you should get 4 = 25a+5b+c

We have this system of equations

Use substitution, elimination, or a matrix to solve that system. I'll skip steps, but you should get (a,b,c) = (1/4, 1/2, -19/4) as the solution to that system.

In other words

a = 1/4, b = 1/2, c = -19/4

We go from y = ax^2+bx+c to y = (1/4)x^2+(1/2)x-19/4

----------

Next we complete the square

y = (1/4)x^2+(1/2)x-19/4

y = (1/4)( x^2+2x )-19/4

y = (1/4)( x^2+2x+0 )-19/4

y = (1/4)( x^2+2x+1-1 )-19/4

y = (1/4)( (x^2+2x+1)-1 )-19/4

y = (1/4)( (x+1)^2-1 )-19/4

y = (1/4)(x+1)^2- 1/4 - 19/4

y = (1/4)(x+1)^2 + (-1-19)/4

y = (1/4)(x+1)^2 - 20/4

y = (1/4)(x+1)^2 - 5

The equation is in vertex form with (-1,-5) as the vertex. It's the lowest point on this parabola. Placing it into vertex form allows us to find the inverse fairly quickly.

----------

The last batch of steps is to find the inverse.

Swap x and y. Then solve for y.

y = (1/4)(x+1)^2 - 5

x = (1/4)(y+1)^2 - 5

x+5 = (1/4)(y+1)^2

(1/4)(y+1)^2 = x+5

(y+1)^2 = 4(x+5)

y+1 = sqrt(4(x+5))

y = sqrt(4(x+5)) - 1

I'll let the student check each point to confirm they are on the curve y = sqrt(4(x+5)) - 1.

You can also use a tool like GeoGebra to verify the answer.

The number of quarters he originally think we're in his pocket is 33.

We are given that;

More quarters she had= 2

Total= $8.75

Now,

Let’s name that number x.

We can translate the table into an equation by equating the total value of the quarters to $8.75:

0.25(x + 2) = 8.75

To solve this equation by simplifying and isolating x:

0.25x + 0.5 = 8.75 0.25x = 8.25 x = 33

The answer by plugging it back into the equation:

0.25(33 + 2) = 8.75 0.25(35) = 8.75 8.75 = 8.75

This makes sense, so we have the correct answer. 7.

Therefore, by algebra the answer will be 33.

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The angles are formed by a transversal and two parallel lines in the figure. By applying congruent angles and vertical opposite angle property, ∠1 ≅∠3 ≅ ∠5 ≅ ∠7; ∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8. Therefore option B is correct.

Congruent angles are identical to each other and have the same measure. The angles formed by the transversal in corresponding corners are called corresponding angles and they are congruent.

Therefore, ∠1 ≅ ∠5, ∠3 ≅ ∠7----------(1)

At a vertex if two angles are opposite to each other, then they are vertically opposite angles, they are equal and congruent to each other.

Therefore, ∠1 ≅ ∠3, ∠5 ≅ ∠7----------(2)

Combining (1) and (2), we get:

∠1 ≅∠3 ≅ ∠5 ≅ ∠7
Similarly we can find,

∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8.

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Answer:

C' = (15, 7)

Dilation by a scale factor of 3 with the origin (0, 0) as the center of dilation, followed by a translation of 1 unit up.

Step-by-step explanation:

If two triangles are said to be similar, their corresponding angles are congruent and their corresponding sides are in the same ratio.

Given vertices of triangle ABC:

To maintain similarity (and thus keep the corresponding angles of both triangles the same) but not maintain congruence, dilate triangle ABC.

Given:

If ΔABC is dilated by a scale factor of 3, with the origin as the center of dilation, B' = (3, 12).  If the triangle is then translated 1 unit up, B' = (3, 13), which matches the given coordinate of point B'.

Therefore, the series of transformations is:

Mapping Rule:  (x, y) → (3x, 3y + 1)

Therefore, the coordinates of point C' are:

⇒ C' = (3(5), 3(2) + 1) = (15, 7)

Answer:

Sarah needs to sell 16 signs.

Step-by-step explanation:

Let s be the number of signs Sarah sells.

(15.75- 3.50)x - > 185

12.25x > 185

x > 15.1

Answer: x = 50

Step-by-step explanation:

In the given image, the alternate interior angles are equal. Therefore, 80 + x = 180 - 50 (since straight angles measure 180 degrees). Simplifying this equation, we get 130 + x = 180, which gives us x = 50 degrees. Thus, A||B when x = 50 degrees.

The equation that results if Kiran squares both sides as his first step is gotten as; x + 2 - 10√(x + 2) + 25 = 121

We want to simplify the expression;

[√(x + 2)] - 5 = 11

Squaring both sides is;

([√(x + 2)] - 5) * ([√(x + 2)] - 5) = 11 * 11

⇒ x + 2 - 10√(x + 2) + 25 = 121

Thus, the correct answer is;

x + 2 - 10√(x + 2) + 25 = 121

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Answer:

because the diagonals are congruent, you're going to set them equal.

2x+13=4x-1

13=2x-1

14= 2x

x=7

it's that easy

Perimeter is the sum of all outside dimensions.

Solve for x first:

12 + x+7 + x+2 + 5 + x +4 + x + 4 = 42

Combine like terms:

4x + 34 = 42

Subtract 34 from both sides:

4x = 8

Divide both sides by 4:

X = 2

Now solve for EF by replacing x:

EF =. X + 7 = 2 + 7 = 9 feet.

The distance between the point (5,12) and the line y = 5x + 12 is 4.90 units

If a point P with the coordinates (x₁, y₁), and we need to know its distance from the line represented by ax + by + c = 0

Then the distance of a point from the line is given by the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

Given: the point (5,12) and the line y = 5x + 12. The line can be written as

5x-y+12 = 0. Thus:

x₁ = 5, y₁ = 12, a = 5, b = -1, c = 12. Substitute these into the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

d = (5×5 + (-1×12) + 12) / √(5² + (-1)²)

d = 25/√26 = 4.90 units

Therefore, the distance between the point and the line is 4.90 units. Option D is the answer

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