When graphing a parabola, you always use the opposite of k in vertex form: y = a (x-h)^2 + k

True or false? Explain

Answer:

\(x = \frac{9}{ \sqrt{2} } = \frac{9 \sqrt{2} }{2} \)

Answer:

a = 120°

b = 55°

c = 25°

Step-by-step explanation:

a = 40 + 80 = 120° (exterior angle)

180 - 95 = 85° (sum of adjacent angles on a straight line=180)

b = 180 - 85 - 40 = 55° (sum of angles in a triangle=180)

180 - 120 = 60° (sum of adjacent angles on a straight line=180)

c = 180 - 60 - 95 = 25° (sum of angles in a triangle=180)

The value of angle a is 120°

The value of angle b is 55°

The value of angle c is 25°

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Angle a is an exterior angle along with 40° and 80°.

a = 40 + 80

a = 120°

The adjacent angle along with angle a makes 180 degrees.

Adjacent angle = m ( consider )

a + m = 18

120 + m = 180

m = 180 - 120

m = 60

The triangle with angles c, 95°, and m.

The sum of angles in a triangle is 180 degrees.

c + 95 + m = 180

c + 95 + 60 = 180

c = 180 - 95 - 60

c = 180 - 155

c = 25°

The adjacent angle along with 95°.

Adjacent angle = n ( consider )

n + 95 = 180

n = 180 - 95

n = 85

The sum of the angles in the triangle that contains b, 40°, and n.

b + 40 + n = 180

b + 40 + 85 = 180

b = 180 - 125

b = 55°

Thus,

The value of angle a is 120°

The value of angle b is 55°

The value of angle c is 25°

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Answer:

*50

Step-by-step explanation:

Sum of the interior angle

(n - 2) 180

From the question n is 3.

=(3 - 2) 180

=(1) 180

=180

The value of x

x + (x + 5) + (x + 25) 180

=x + x + x + 5 + 25 = 180

=3x + 30 = 180

=3x = 180 - 30

=3x = 150

=3x/3 = 150/3

x = 50

Therefore the value of x is 50.

Answer:

January

Step-by-step explanation:

Answer:

(1,3) (2,6) (3,9) (4,12)

Step-by-step explanation:

Meanwhile the x value increases by 1, the y value increases by 3.

The value of the distance across the sea is 302 feet

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

Two triangles are said to be similar if the ratio of their corresponding sides are in the same proportion.

Triangle PRE and triangle POC are similar triangles based on the angle - angle similarity. Hence:

PR / PO = RE/OC

substituting:

x/ (x + 135) = 185 / 335

335x = 185x + 45225

150x = 45225

x = 302 feet

The value of PR is 302 feet

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Answer: 2800 dollars in intrest

Step-by-step explanation:

Answer:

No, not right or a triangle lol

Step-by-step explanation:

This is not a triangle.

5+6=11, it has to be greater :)

your triangle is a straight line.

:]

Answer:

2 Km

Step-by-step explanation:

Similar means they are of the same ratio

0.9 : 1.8 is a 1 : 2 ratio

That means

1 : d => is also 1 : 2 ratio

Therefore d=2

Answer:

Step-by-step explanation:

Given a triangle with angles marked (2x-5)°, x°, and 62°, you want the measures of the unknown angles A and B.

The sum of angles in a triangle is 180°. That means ...

  (2x -5)° +x° +62° = 180°

  3x° = 123° . . . . . . . . . . . subtract 57°, collect terms

  x = 41 . . . . . . . . divide by 3°

Angle A is ...

  (2x -5)° = (2·41 -5)° = 77°

Angle B is ...

  x° = 41°

Angle A is 77°, angle B is 41°.

Answer:

need more points to do this

Step-by-step explanation:

In the parallelogram ABCD, diagonal AC and diagonal BD intersect eact other at point E.

Determine the coordinate of point E.

So coordinates of point E are (3,-2).

Check the picture below.

\(\textit{Law of Sines} \\\\ \cfrac{a}{\sin(\measuredangle A)}=\cfrac{b}{\sin(\measuredangle B)}=\cfrac{c}{\sin(\measuredangle C)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{h}{\sin(157^o)}=\cfrac{240}{\sin(6^o)}\implies h\sin(6^o)=240\sin(157^o) \\\\\\ h=\cfrac{240\sin(157^o)}{\sin(6^o)}\implies h\approx 897.1~cm\)

Make sure your calculator is in Degree mode.

Answer:

Step-by-step explanation:

a) What point would be the Center of the circle C (above)?                C

b) What line segment would be the Radius?                                       BC

c) What line segment would be the Diameter?                                   AD

d) What line Color is representing the Circumference?         Dark Blue/Black?

e) What number represents the ratio of Circumference/Diameter?   π

f) if the radius is 5 meters, what is the distance of the circumference?​

                                                                                                      5π ≈ 15.707... m

Answer:

not existing

Step-by-step explanation:

\( \frac{ - 6 + x}{ {x}^{4} } \)

lim x goes to 0 is

\( \frac{ - 6 + 0}{ {0}^{4} } = \frac{ - 6}{0} \)

so not exist

I'm not sure if u mean that or this

Answer: -01

Step-by-step explanation:

The correct equation for represents h (x) is,

⇒ h (x) = g (x) - h (x)

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

We have to given that;

The table shows three functions and their output values for different values of x.

Now, By the table;

f (x) = 3

g (x) = 18

h (x) = 15

Hence, We can formulate;

g (x) - f (x) = 18 - 3

               = 15

               = h (x)

Thus, The correct equation for represents h (x) is,

⇒ h (x) = g (x) - h (x)

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Answer:

5, 6

Step-by-step explanation:

Answer:

Los números son:

6 y 5

Step-by-step explanation:

Planteamiento:

a * b = 30

a + b = 11

Desarrollo:

De la segunda ecuación del planteamiento:

a = 11-b    

Sustituyendo esta última ecuación en la primer ecuación del planteamiento:

(11-b)*b = 30

11*b + b*-b = 30

11b - b² - 30 = 0

-b² + 11b - 30 = 0

b = {-11±√((11²)-(4*-1*-30))} / (2*-1)

b = {-11±√(121-120)} /-2

b = {-11±√1} / -2

b = {-11±1} / -2

b₁ = {-11-1} / -2 = -12/-2 = 6

b₂ = {-11+1} / -2 = -10/-2 = 5

Comprobación:

6*5 = 30

6+5 = 11

The value of df, when x = π/4 and dx = 1/24, is (-5π - 5√2)/(96√2).

To find the derivative of the function f(x) = -5cos(x) + xtan(x), we'll use the sum and product rules of differentiation. Let's start by finding df/dx.

Apply the product rule:

Let u(x) = -5cos(x) and v(x) = xtan(x).

Then, the product rule states that (uv)' = u'v + uv'.

Derivative of u(x):

u'(x) = d/dx[-5cos(x)] = -5 * d/dx[cos(x)] = 5sin(x) [Using the chain rule]

Derivative of v(x):

v'(x) = d/dx[xtan(x)] = x * d/dx[tan(x)] + tan(x) * d/dx[x] [Using the product rule]

= x * sec^2(x) + tan(x) [Using the derivative of tan(x) = sec^2(x)]

Applying the product rule:

(uv)' = (5sin(x))(xtan(x)) + (-5cos(x))(x * sec^2(x) + tan(x))

= 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Simplify the expression:

df/dx = 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Now, we need to evaluate df/dx at x = π/4 and dx = 1/24.

Substitute x = π/4 into the derivative expression:

df/dx = 5(π/4)sin(π/4)tan(π/4) - 5(π/4)cos(π/4)sec^2(π/4) - 5cos(π/4)tan(π/4)

Simplify the trigonometric values:

sin(π/4) = cos(π/4) = 1/√2

tan(π/4) = 1

sec(π/4) = √2

Substituting these values:

df/dx = 5(π/4)(1/√2)(1)(1) - 5(π/4)(1/√2)(√2)^2 - 5(1/√2)(1)

Simplifying further:

df/dx = 5(π/4)(1/√2) - 5(π/4)(1/√2)(2) - 5(1/√2)

= (5π/4√2) - (10π/4√2) - (5/√2)

= (5π - 10π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

Now, to evaluate df/dx when dx = 1/24, we'll multiply the derivative by the given value:

df = (-5π - 5√2)/(4√2) * (1/24)

= (-5π - 5√2)/(96√2)

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Answer:

\(6 \frac{5}{12} \: {ft}^{2} \)

Step-by-step explanation:

\(area \: of \: rectangle = length \times width \\ \\ = 1 \frac{1}{6} \times 5 \frac{1}{2} \\ \\ = \frac{7}{6} \times \frac{11}{2} \\ \\ = \frac{77}{12} \\ \\ = 6 \frac{5}{12} \: {ft}^{2} \)

Answer:

c 57

Step-by-step explanation:

Answer:

$290

Step-by-step explanation:

We can use the equation that Skate Land created to find the total cost

C = 7.50p + 65

p = people so if we have 30 people, we have to solve 7.50 x 30

C = 225 + 65

we can now add the flat fee of $65 to get the total cost for the birthday part

C = $290

hope this helps :)

The solution of the equation is to the nearest ten-thousandth is x = 2.7712.

A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459. Typically, the natural logarithm of x is expressed as ln x, loge x, or, if the base e is implicit, just log x.

The given equation is \(3^{x-1} = 7\).

Take natural log on both sides of the equation:

\(\ln (3^{x-1} )=\ln( 7)\)

(x - 1) ln(3) = ln(7)

x - 1 = ln(7) / ln(3)

x = 1 +  ln(7) / ln(3)

x = 2.7712

Hence, the solution of the equation is to the nearest ten-thousandth is x = 2.7712.

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Answer:

7

Step-by-step explanation:

Mean = 6

so work backwards.

6 x 4 = 24

24 = total amount of all cards added together.

24 - 4 - 6 - 7 = 7

Answer:

the blank number is 7

Step-by-step explanation:

Mean : add all the numbers and divide by how many there is

4+7+6=17

we need to be able to divide it by 4 to make 6

6 x 4=24

so 4+7+6+x=24

24-17=7

The incorrect statement is:

B. The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x < 6.

In the given statement, there is an error in the inequality. The correct statement should be:

The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6.

When solving the three-part inequality - 5x < 15x^2 < 3, we need to split it into two separate inequalities. The correct splitting should be:

- 5x < 15x^2 and 15x^2 < 3

Simplifying the first inequality:

- 5x < 15x^2

Dividing by x (assuming x ≠ 0), we need to reverse the inequality sign:

- 5 < 15x

Simplifying the second inequality:

15x^2 < 3

Dividing by 15, we get:

x^2 < 1/5

Taking the square root (assuming x ≥ 0), we have two cases:

x < 1/√5 and -x < 1/√5

Combining these inequalities, we get:

- 5 < 15x and x < 1/√5 and -x < 1/√5

Therefore, the correct statement is that the three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6, not - 6 ≤ 5 - x < 6 as stated in option B.

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The csc(theta) = 1/sin(theta) = 1/(-2/√13) = -√13/2. So, the cosecant of theta is -√13/2.

To find the cosecant (csc) of theta when a point (-3, -2) lies on its terminal side, we need to determine the hypotenuse (r) of the right triangle formed by this point.

Using the Pythagorean theorem, r^2 = (-3)^2 + (-2)^2. So, r^2 = 9 + 4 = 13, and r = √13.

The csc(theta) is the reciprocal of sin(theta). Sin(theta) is calculated as the ratio of the opposite side (y-coordinate) to the hypotenuse, or sin(theta) = -2/√13.

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Answer:

The blue dot is -19

Step-by-step explanation:

Since every 2 ticks are worth 6 (|-10|-|-4|=6), then one tick is worth 3.

We are going backward, so we can count backward.

We have to go down 3 ticks, so -10-3=-13; -13-3=-16; -16-3=-19.

The blue dot is -19

Answer: The blue dot equals to -19.

Step-by-step explanation:

On the number line, there are the numbers -10 & -4.

-7 would fit in the middle of them. That means the number line goes by minus 3.

Count -10 , -13, -16, then you get on the the blue dot which is -19.

Therefore, -19 is the answer.

\( \cos(90 - ø) \)

Step-by-step explanation:

The translation from words to an algebraic expression, denoting the unknown by n is 0.15(n + 10,000)

let

unknown number = n

= n + 1000

= 15%(n + 10000)

= 15/100(n + 10,000)

= 0.15(n + 10,000)

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