Find the standard form of the equation of the ellipse satisfying the given conditions.Endpoints of major axis: (4,12) and (4,0)Endpoints of minor axis: (8,6) and (0,6)

Yes, the ordered pair (4, 7) is a solution of the equation y = 5x - 13.

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

To conclude if the ordered pair (4, 7) is a solution of the equation

y = 5x - 13  or not we have to substitute the value of x and check what is the corresponding y value.

So, y = 5x - 13.

At x = 5,

y = 5(4) - 13.

y = 20 - 13.

y = 7.

∴ When x = 4 the corresponding y value is 7 so the given ordered pair

(4, 7) satisfies this condition.

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Answer:

The range of the distance from A to C is greater than 12.3 feet and less than 32.1 feet.

Step-by-step explanation:

Triangle Inequality Theorem

The measure of any side of a triangle must be less than the sum of the measures of the other two sides.

Given:

Taking AB to be the longest side of the triangle.

The measure of AB must be less than the sum of AC and BC:

⇒ AB < AC + BC

⇒ 22.2 < AC + 9.9

⇒ 22.2 - 9.9 < AC

⇒ 12.3 < AC

⇒ AC > 12.3 ft

Taking AC to be the longest side of the triangle.

The measure of AC must be less than the sum of AB and BC:

⇒ AC < AB + BC

⇒ AC < 22.2 + 9.9

⇒ AC < 32.1 ft

Therefore, the range of the distance from A to C is greater than 12.3 feet and less than 32.1 feet.

    One thing to take into consideration is the unit names' digit names.

Under the specified conditions, the power of 5 corresponds to the numbers 5, 25, 125.

    If a number A is completely contained within a number B, then it is possible to say that the two numbers are identical. It is said:

B = n.A

B = number multiplier

n = natural number

A = base number, interest number

In our case, the following procedure is followed:

Base number = Multiples between 1 and 200.

Para n = 1:5(1)=5

Para n = 2:5(2)=25

Paragraph  = 3:5(3)=125

Paragraph  =4: 5(4)=625

Does not satisfy the condition

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Given that Eleanor can run 300 meters in 85 seconds;

We want to calculate how many meters it can run in 395 seconds;

substituting;

Therefore, the distance they can run in 395 seconds is;

Answer: B

Step-by-step explanation:

This is a transversal.

Thus 2x-4 = 3y+6 because they are alternative interior angles

2x-4 and 10z + 100 are supplementary, and thus add to be 180 degrees. Because both do not equal 90 degrees, then they cannot be equal.

Thus the answer is B

EXPLANATION;

Given;

We are given the two numbers,

Required;

We are required to arrange them in order and the solution is as follows;

As we can see, the fractions have been replaced with equivalent and these are;

As we can see, eight out of 100 is greater than 5 out of 100. Therefore;

ANSWER:

The values of the angles are m∠AOB = 27°, m∠BOC = 48° and m∠COD = 27°.

Congruency may be defined as the property between two shapes or figures which shows same behavior in their shape and size. The symbol for congruency is given by '≅'. If one image is mirror image of another, then also both are said to be congruent. From the figure ∠AOB is congruent to ∠COD. We have the value of m∠AOB = 6x - 3 and m∠COD = 3x + 12. Equating these two values we get

6x - 3 = 3x + 12

3x = 15

=> x = 5

Now, the value of m∠AOB = 6x - 3 = 27°, value of m∠BOC = 6x + 18 = 48° and of value m∠COD = 3x + 12 = 27°.

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We know that 1 ton is the same as 2000 pounds. Then we have:

Hence the car weighs 10 ton and therefore you would make $500

-3y + x + 4

see explanation below

To get an equivalent expression, we need to write the equation in such a way that we can get the original expression. SInce the expression doesn't have an equal to sign, we will rewrite the expression.

Original expression: x - 3y + 4

Rewritting the expression, we can make the y come before the x term or make the constant (4) come before either the x or the y term.

Or we can leave the expression as it is.

making the y come before the x term and the constant respectively:

-3y + x + 4

making the constant come before the y and x term respectively:

4 + x - 3y

leaving the expression as it is:

x - 3y + 4

Also note we can multiply or divide the expression by 1. It will still be the same:

Multiplying: 1(x - 3y + 4)

Dividing: (x - 3y + 4)/1

Any of the above is an equivalent expression to x - 3y + 4

Let's pick: -3y + x + 4

The option that is true after the transformation is that; D) The segments share an endpoint.

Usually when we rotate a line segment about the origin in a clockwise manner, we will discover that the transformation rule is;

(x, y) = (y, -x)

Now, in this case it is not about the origin but about the point C and as such the coordinate C will not change after rotation as only the coordinate D will have a change in coordinate.

The coordinates of C and D originally are C(3,1) and D(7,4) .

Thus, the new coordinate of D will be;

D' (−(y − b) + a, (x − a) + b)

D'( (−(4 − 1) + 3, (7 − 3) + 1)

= D'(0, 5)

Using distance coordinate formula which is;

d = √((y₂ - y₁)²+ (x₂ - x₁)²)

where;

(x₁, y₁) is the coordinate of the first point on the line

(x₂, y₂)

CD = √((7 - 3)²+ (4 - 1)²)

CD = 5

Likewise;

CD' = 5

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Complete Question is;

Rey's teacher gave him the segment CD with end points C(3,1) and D(7,4) and asked him to rotate the segment 90 degrees clockwise about point C. Which of the following is true about the original segment and the result of the rotation? Group of answer choices

A) The segments have lengths with a ratio of 2:1.

B) The segments have lengths with a ratio of 1:2

C) The segments share both endpoints.

D) The segments share an endpoint.

2x + 3y = -5

5x - y = -12

add result is

(2x + 5x) + (3y - y) = -5 -12

7x + 2y = -17

Answer is

7x + 2y = -17

Answer:

Whole numbers

Explanation:

The domain of a function is the set of all the possible values that the variable x can take. In this case, x represents the number of Chromebooks, so x can take values like 0, 1, 2, 3, ...

Therefore, the c(x) domain is the set of whole numbers because these are the numbers that we use to count.

Answer:

Explanation:

Given the following

Initial Marble = 15marbles

Amount Jom guessed = 18 Marbles

Difference = 18 - 15 = 3 Marbles

Percent error = Difference/Initial Marble * 100

= 3/18 * 100

= 300/18

= 16.7%

Hence the percentag

As per the given rate of interest 2% ,time 20 years and interest paid is $400 then the principal borrowed is equal to $1000.

As given in the question,

Given data :

Rate of interest is equal to 2%

Time for which interest paid is equal to 20 years

Interest paid in dollars is equal to $400

Let P be the Principal borrowed in dollars ,

Simple interest = ( Principal × Rate of interest × time )/100

⇒400 = (P × 2 × 20 ) /100

⇒ P = ( 400 × 100 ) / 40

⇒ P = $1000

Therefore, for the given rate of interest 2% ,time 20 years and interest paid is $400 then the principal borrowed is equal to $1000.

The complete question is:

If my interest rate is 2% and Time(years) is 20 and the interest paid(dollars) is $400 what is the Principal borrowed (dollars) ?

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Answer:

You really can't solve this one because there is no x value to solve with

In order to determine the midpoint between the given points, use the following expressions for the x and y coordiantes of the midpoint:

where (x1,y1) and (x2,y2) are the coordinates of the given points.

In this case. you have:

(x1,y1) = (5,-7)

(x2,y2) = (5,7)

Hence, the coordinates of the midpoint is (5,0)

the given expression is,

y = -2/5 - 4

the y-intercept of this equation is -4

What is 75% of 200?

Responses

A 2.62., 6

B 125125

C 175175

D 1500015000

E 150

Question 1.

Given:

Loan amount = $22,000

New Loan amount after reduction = $15,200

Let's determine how much of the debt he paid off.

To find how much he has already paid that year, we have:

Amount paid = Original loan amount - New loan amount

Amount paid = $22000 - $15200 = $6,800

Therefore, the amount he paid off that year is $6,800

ANSWER:

$6,800

Stem 1

Write out all the possible outcomes.

1,2,3,4,5,6,7,8,9,10

OR mean addition and AND means multiplication.

step 2

Answer:

5

Step-by-step explanation:

To find the value of f(g(4)), first, find the value of g(4).

According to the table, if x=4 then g(x)=-6. Then:

According to the table, if x=-6 then f(x)=4. Then:

Therefore:

The answer is 4.

First, we find the inverse

Then, we solve for x = 1, 2, 3, 4.

Answer:

Domain: A, [tex](-\infty, \infty)[/tex]

Range: A, [tex][4, \infty)[/tex)

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

The evaluation of the equation will be 10x²y-5xy²+17216 where x,y⊆W; W stands for whole number.

Equations are mathematical statements that contain two algebraic expressions on both sides of an equal sign (=). It depicts the equality relationship between the expression written on the left side and the expression written on the right side. L.H.S = R.H.S (left hand side = right hand side) appears in every mathematical equation. Equations can be used to calculate the value of an unknown variable that represents an unknown quantity. If the statement lacks the 'equal to' symbol, it is not an equation. It will be treated as an expression. In the following section, you will learn the distinction between equation and expression.

You must substitute a number for each variable and perform arithmetic operations to evaluate an algebraic expression. Because 6 + 6 = 12, the variable x in the preceding example is equal to 6. We can evaluate the expression after replacing the variables with their values if we know their values.

For the given equation,

5xy(2x-y)+617(22+6)

open the brackets,

10x²y-5xy²+17216

This is the required equation.

The equation will be evaluated as 10x²y-5xy²+17216 where x,y⊆W; W stands for whole number.

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A conditional statement is one that has the syntax "If P then Q," with P and Q denoting sentences. P is referred to as the hypothesis and Q is referred to as the conclusion for this conditional statement. The implication of "If P then Q" is that whenever P is true, Q must also be true.

An illustration of a conditional statement?

Example: A conditional statement is present. In the event of rain, we will not play. Let's say A: It's raining and B: We're not going to play. If A is true—that is, if it is raining—and B is false—that is, if we played—then A implies that B is untrue.

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Take into account that in a general way, a parabola can be written as follow:

y = a(x - h)^2 + k

where,

a: is the leadding coefficient

(h,k): vertex of the parabola

In order to graph the parabola, first calculate the value of a, by using the following information:

(h,k) = (0,-2)

(x,y) = (5,8)

Replace the previous values into the equation of the parabola and solve for a:

Then, the equation of the given parabola is:

Another point could be:

x = -2

the point is (-2,-2/5).

Then, the graph is:

ANSWER

• Domain: all real values

• Range: all real positive values

• Asymptote: y = 0

• y-intercept: (0, a)

• The graph is continuous and smooth

EXPLANATION

The domain of this exponential function is all real values because x can take any real value without creating discontinuities.

The range, on the other hand, is all real positive values, not including zero. This is because y = 0 is a horizontal asymptote - i.e. an exponential function such as this cannot be zero.

We can also find the y-intercept, which is the point where the graph crosses the y-axis. This occurs when x = 0,

So the graph contains the point (0, a), which is the y-intercept.

Since there are no discontinuities or "jumps", the graph is continuous and smooth.

The end-behavior is given by the value of b. If b is between 0 and 1, the graph is decreasing and, if b is greater than 1, the graph is increasing.