Which equation represents a vertical line? *
A. y =2x
B. x = 2
C. y = 3
D. y = -x​

In vertex form the equation of the parabola is [tex]y = -2(x+2)^{2} -5[/tex].

What is Vertex form if Parabola ?

When a graph crosses its symmetry axes, the vertex formula in mathematics may be used to get the vertex coordinate of a parabola. The vertex point is often represented by (h, k). We are aware that a parabola's conventional equation is y=ax2+bx+c. The vertex in this case should be near the base of the U-shaped curve if the coefficient of x2 is positive. The vertex should be at the peak of the U-shaped curve if the coefficient of x2 is negative. The standard form and vertex form of a parabola, as well as the vertex formula, will be covered in this article.

We are aware that the parabola's conventional form is y=ax2+bx+c.

So, y = a(x-h)2 + k is the vertex form of a parabola.

To determine a parabola's vertex, use the vertex formula. There are two methods for locating a parabola's vertex.

Vertex, (h, k) = (-b/2a, -D/4a)

Equation of the parabola,

y = [tex]-2x^{2} - 8x -13[/tex]

here ,

a = -2 , b = -8 and c = -13.

Therefore,

h = -b/2a = +8/-4 = -2 and,

k = -D/ 4a = [tex]-(b^{2} - 4ac)/4a[/tex] = -(64 - 104)/-8 = -40/8 = -5

So, the coordinate of vertex is (-2, -5)

So the vertex form of equation of parabola is

[tex]y = a(x-h)^{2} + k[/tex]

⇒ [tex]y = a(x+2)^{2} -5[/tex]

⇒ [tex]y = ax^{2} + 4ax +4a -5[/tex]

Equating this equation with equation pf parabola we get a = -2

So, in vertex form the equation of the parabola is [tex]y = -2(x+2)^{2} -5[/tex].

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Answer:9 less than 9 is 0

Step-by-step explanation:

9-9=0

Answer:

9

Step-by-step explanation:

Less means minus, so basically X ( something ) - 9 is 0

X - 9 = 0

You add 9 on each side

X = 0 + 9

X = 9

Basically, all you're doing is the reverse, you start with 0 and do the opposite of taking away 9 which is adding nine so that you get the number:

0 + 9 = 9

Hence the number is 9

:)

( sorry if I misunderstood )

The value of x=10 is y=4 if y=8 if x=20.

Mathematical expressions can be used to depict situations or issues, and algebra is the field of mathematics that does this. For a mathematical expression to have meaning, it needs to include variables like x, y, and z as well as mathematical operations like addition, subtraction, multiplication, and division. Mathematics has several different subfields, including algebra. Algebra is the study of mathematical symbols and the rules for using them in formulas; it is a common thread that runs through practically all of mathematics. It is also used to name specific types of algebraic structures, such as an algebra over a field, which is frequently referred to as an algebra. The word algebra is used to name both a mathematical field and some of its subfields.

When x=20, y=8

The value of y is 0.4 times of x.

y=0.4×20

y=8

So, when x=10

y=0.4×10

y=4

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To determine the point and slope from the given equation, we can rewrite the equation in the standard form of a linear equation: y = mx + b, where m is the slope and b is the y-intercept (the point at which the line crosses the y-axis).

In this case, the equation is already in the standard form, so we can immediately see that the slope is -5 and the y-intercept is (0, 4). This means that the point at which the line crosses the y-axis is (0, 4), and the slope of the line is -5.

Therefore, the correct answer is:

Point: (0, 4)

Slope: -5

If one quarter of the Texas Guff coast is national seashore or state park  at the given figures, the length of the Texas shoreline is 0.8835km

The length is the measure of how long the shoreline is.

The given parameters sare

mileage of the seashore = 372 miles

Advancement of 0.0095 miles per year.

1/4 taken as gulf coast

Applying these parameters we have

372*0.0095*1/4*12

⇒ 96.102 miles

= 96.102/1000 = 0.96102 km

1000 miles = 1km

Therefore divide the value by 1000 to get

Therefore the length is 0.96102km

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Answer:

Option D delta is correcto

Mary is capable of making 4 batches of brownies.

Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.

Create a square on paper by using a pencil. Two dimensions make it up. A shape's area on paper is the space it takes up.

Imagine that your square is made up of smaller unit squares.

The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.

To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.

According to our question-

divide 8/10 by 1/5

4

Hence, Mary is capable of making 4 batches of brownies.

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The large cube has a length of 7 inches each side and it's volume is 343 cubic inches.

Given,

The length of the small cube, a = 3.5 inch

The length of large cube = 2a = 2 × 3.5 = 7 inches

Now,

We have to find the volume of large cube

Volume;-

The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Here,

Volume of cube = a³

Volume = 7³ = 343 cubic inches

That is,

The length of side of the large cube is 7 inches and the volume of large cube is 343 cubic inches.

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Given question is incomplete. The completed question is;

A small cube has a length of 3.5 inch. The length of large cube is twice the small cube. Find the volume of the large cube.

The equation written in slope-intercept form is y = -(3/4)x +2.

The slope-intercept form of a line is y = mx +c where m is the slope of the line and c is the y-intercept.

The given inequality is y < -3/4x + 2

Rewrite the inequality as an equation in slope-intercept form:

y < (-3/4)x + 2

y = (-3/4)x + 2

Where m = -3/4 and b = 2

Hence, the equation written in slope-intercept form is y = -(3/4)x +2.

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Answer:

what we have do with these lines?... please complete your questions

Answer:

neither

Step-by-step explanation

3*1/3= 1

3 and 1/3 are multiplicative inverses

it is supposed to be 3*(-1/3) or -3*(1/3) = -1

i think it would be 200

Answer:

24i√3

Step-by-step explanation:

simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

I tried.

You are running the concession stand for the basketball game. You sell hot dogs for $1.50 and drinks for $2.

a)  an equation in a standard form that models this situation is

1.5H + 2D = 250

b) Hot dogs sold 104

Generally, a) Let H be the number of hot dogs sold and D be the number of drinks sold. The equation that models this situation is:

1.5H + 2D = 250

b) To find the number of hot dogs sold, we can solve the equation for H:

1.5H = 250 - 2D H = (250 - 2D) / 1.5

Substituting D = 47 into this equation gives us:

H = (250 - 2*47) / 1.5 H = (250 - 94) / 1.5 H = 156 / 1.5 H = 104

Therefore, you sold 104 hot dogs.

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The height of the candy cane is 11.4024 feet when the man is looking at the top of the candy cane at an angle of 35°.

We have the following information:

A 3 foot Gingerbread man is standing 12 feet from the base of the tall candy cane he has ever seen. He is looking at the top of the candy cane at an angle of 35⁰.

Now, we can find the height of the candy cane using the trigonometric function of tan.

Now, the base will be 12 feet and the height of the candy cane will be added to 3 feet to find the real height of the cane.

Tan 35 = height of the cane/base

0.7002 = Height of the cane/12

Height of the cane = 12*0.7002

Height of the cane = 8.4024 feet

Real height of the cane = 3+8.4024 feet

Real height = 11.4024 feet

Hence, the candy cane is 11.4024 feet when the man is looking at the top of the candy cane at an angle of 35°.

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Answer: 6 and 8

Step-by-step explanation: A right triangle is a triangle with one angle that measures 90 degrees. The side opposite the right angle is called the hypotenuse, and the other two sides are called the legs. In this case, the hypotenuse is 10cm long.

If one angle of the triangle is 40 degrees, then the other angle must be 90-40 = 50 degrees. The remaining two angles of a triangle must add up to 180 degrees, so the third angle is 180-40-50 = 90 degrees. This means that the triangle is a right triangle, and we can use the Pythagorean theorem to find the lengths of the legs.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. In this case, we have a2 + b2 = c2, where a and b are the lengths of the legs and c is the length of the hypotenuse.

Substituting the values from the problem, we have a2 + b2 = 102, which simplifies to a2 + b2 = 100. Since we don't know the values of a and b, we can't solve for them directly. However, we can use the fact that the angle opposite the longer leg is 50 degrees, and the angle opposite the shorter leg is 40 degrees. This means that the longer leg is the opposite side of the 50-degree angle, and the shorter leg is the opposite side of the 40-degree angle.

Since the longer leg is opposite the 50-degree angle, and the shorter leg is opposite the 40-degree angle, we can use the tangent function to find the ratio of the lengths of the legs. The tangent of an angle is defined as the ratio of the opposite side to the adjacent side, so we have tangent(50 degrees) = opposite side / adjacent side = a / b, and tangent(40 degrees) = opposite side / adjacent side = b / a.

Solving for a and b, we have a = b * tangent(50 degrees) and b = a * tangent(40 degrees). Since the legs are the opposite sides of the 40- and 50-degree angles, we can substitute the values from the problem to get a = b * tangent(50 degrees) = 100 * tangent(50 degrees) and b = a * tangent(40 degrees) = 100 * tangent(40 degrees).

To find the values of tangent(50 degrees) and tangent(40 degrees), we can use a calculator or look up the values in a table of trigonometric functions. We find that tangent(50 degrees) = 1.191753592594, and tangent(40 degrees) = 0.839099631177. Substituting these values into the equations for a and b, we have a = 100 * 1.191753592594 = 119.1753592594 and b = 100 * 0.839099631177 = 83.9099631177.

Rounding to the nearest whole number, we have a = 119 and b = 84. The lengths of the legs of the triangle are therefore 6 and 8.

You bought 17 pounds of rice for a group lunch at the neighborhood market the last time you went there for $12.75. This week, you'll need 38 pounds of rice to prepare another shared meal.

Step 1: Divide the percent discount by 100% to convert it to a decimal. Step 2: Construct the equation P=(1d)x P = (1 d) x where P is the sale price, d is the discount expressed as a decimal, and x is the original price of the item to get its original price.

A linear demand equation is written as Q = a - bP in standard form. The price is treated as a function of quantity required in the inverse demand equation (also known as the pricing equation): P = f(Q) (Q).

When you most recently visited the neighborhood market, you spent $12.75 on 17 pounds of rice for a communal lunch. You need 38 pounds of rice this week to create another communal supper.

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The basic unit of length in the metric system is the meter. All units of length in the metric system are derived from the meter.

Length of the car is 12 inches equal to 192 feet.

Given ,

3 inches : 4 feet

3 inches : 4*12

3 inches :48

1 inches : 16 feet

Length of the car is 12 inches = 12 * 16

Length of the car is 12 inches = 192 feet

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Answer:

Federal Reserve banks

Step-by-step explanation:

Hope it helps!

Answer:

  60°

Step-by-step explanation:

You want the measure of angle 1 in the given diagram.

Transversal TR creates corresponding angles 1 and 5, so those are congruent.

It is given that angles 4 and 5 are congruent.

Transversal SE creates alternate interior angles 2 and 4, so those are congruent.

Angle bisector SE creates angles 2 and 3 congruent.

Now we have ∠1≅∠5≅∠4≅∠2≅∠3.

Hence all of the angles are congruent to each other, and angle 1 is 1/3 of 180°.

  m∠1 = 60°

The required matrix is obtained by scalar multiplication as [tex]\left[\begin{array}{ccc}-6&0\\9&15\\\end{array}\right][/tex].

A matrix can be defined as a rectangular array of elements written in the form of rows and columns. For m rows and n columns the order of the matrix can be written as m × n.

The number of rows and columns for a square matrix are always equal.

Two matrix can only be added when their orders are equal.

The given matrix can be written as follows,

N = [tex]\left[\begin{array}{ccc}-2&0\\3&5\\\end{array}\right][/tex]      

Where its elements are a₁₁ = -2, a₁₂ = 0, a₂₁ = 3 and a₂₂ = 5.

Since, the scalar multiplication of a matrix is equivalent to the matrix each of which elements are multiplied by that scalar.

As per the problem the matrix 3N can be evaluated as follows,

3N = [tex]\left[\begin{array}{ccc}-2\times3&0\times3\\3\times3&5\times3\\\end{array}\right][/tex]

     = [tex]\left[\begin{array}{ccc}-6&0\\9&15\\\end{array}\right][/tex]

Hence, the matrix 3N is obtained by multiplying all of the terms of matrix by 3 as [tex]\left[\begin{array}{ccc}-6&0\\9&15\\\end{array}\right][/tex].  

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Answer: The answer is -2

Step-by-step explanation: Common sense

Answer: 10000

Step-by-step explanation:

((1234568)(198765432)+(98765432)(98765432))^1/4

=(245389441853376+(98765432)(98765432))^1/4

=(245389441853376+9754610558146624)^1/4

=10000000000000000^1/4

=10000

Hope this helps!!! :)

A linear regression equation that represents the data set is y = -29.97x + 1048.80. Also, the number of new cases for 2026 is equal to 689 cases.

In this scenario, the Year since 2014 (x) would be plotted on the x-axis of the scatterplot while the New cases (y) would be plotted on the x-axis of the scatterplot.

On the Excel sheet, you should right click on any data point on the scatterplot, select format trend line and then tick the box to display an equation for the linear regression (line of best fit) on the graph.

By critically observing the scatterplot (see attachment) which models the relationship given in the table, an equation for the linear regression is given by:

y = -29.97x + 1048.80

For 2026, the value of x is given by:

x = 2026 - 2014 = 12 years.

Now, we can determine the new cases for 2026:

y = -29.97(12) + 1048.80

y = -359.64 + 1048.80

y = 689.16 ≈ 689 cases.

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90 minutes before 11:40.

= 10:10 + 90 minutes

= 10:10 + 1 hour + 30 minutes

= 11:40

The latest time the class can start the test to get to lunch on time is 10:10.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Time take to take the test = 1(1/2) hours = 1 hour and 30 minutes

The time the test needs to finished = 11:40

This means,

The test must start 90 minutes before 11:40.

1 hour = 60 minutes

1 hour and 30 minutes = (60 + 30) minutes

1 hour and 30 minutes = 90 minutes

Now,

90 minutes before 11:40.

= 10:10 + 90 minutes

= 10:10 + 1 hour + 30 minutes

= 11:40

Thus,

The latest time the class can start the test to get to lunch on time is 10:10.

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The complete question is:

Mr. Potter's class will take a test for 1 1/2 hours. They need to finish by 11:40 to get to lunch on time.

What is the latest time the class can start the test to get to lunch on time?

The linear function that gives a(t), the dollar amount in the account t months after she starts withdrawing money is [tex]a(t)=785000-3875t[/tex]

The money in the account 80 months after she starts withdrawing money is [tex]a(80) & =\$ 475000\end{aligned}$$[/tex]

The amount of money she withdraw in 40 months

[tex]& \Rightarrow \$(785000-630000) \\& =\$ 155000\end{aligned}$$[/tex]

She withdraw money per month at constant rate

[tex]=\frac{155000}{40}$$[/tex]

The amount of money a(t) in t months.

[tex]a(t)=785000-\frac{155000 t}{40}$$[/tex]

[tex]a(t)=785000-3875t[/tex]

Therefore the linear function that gives a(t), the dollar amount in the account t months after she starts withdrawing money is [tex]a(t)=785000-3875t[/tex]

(b) The money in the account after 80 months.

[tex]$$\begin{aligned}a(80) & =785000-3875(80) \\& =785000-310000 \\a(80) & =\$ 475000\end{aligned}$$[/tex]

Therefore the money in the account 80 months after she starts withdrawing money is [tex]a(80) & =\$ 475000\end{aligned}$$[/tex]

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Answer:

Step-by-step explanation:

7 1+1

8 2+2

9 4+4

10 1+1+2+2+4+4=69

Answer: y = 45

Step-by-step explanation:

225/5 = 45

45·5 = 45