Which is a correct way to name the line in this picture? A. B. C. D.

Answer:



Root 

Step-by-step explanation:

Answer:

The distance between (2,8) and (-6,-2)

is √100+64

Step-by-step explanation:

Answer:

-17

Step-by-step explanation:

P - Parenthesis

E - Exponents
M - Multiply
D - Divide
A - Add
S - Subtract

Multiply: 4-6+12-3

Add: 4-18-3

Subtract: -17

If cos(x) = -5/6, and x lies in quadrant"II", then exact values are:

sin(2x) = (-5√11)/(18);

cos(2x) = 7/18;

tan (2x) = -5√11/7.

We know that, Cos(x) = -5/6 and "x" is in quadrant II, so, we can use the Pythagorean identity to find sin(x):

sin(x) = √(1 - cos²(x)) = √(1 - (-5/6)²) = √(1 - 25/36) = √(11/36) = √11/6

Using the double angle trigonometry identities for sine and cosine, we find sin(2x) and cos(2x):

Substituting the value of Sin(x) and Cos(x),

We get,

sin(2x) = 2sin(x)cos(x) = 2(√11/6)(-5/6) = (-5√11)/(18);

cos(2x) = cos²(x) - sin²(x) = (-5/6)² - (11/6) = 25/36 - 11/36 = 14/36 = 7/18;

Finally, we find tan(2x) by using the identity:

tan(2x) = sin(2x)/cos(2x) = (-5√11/18) / (7/18) = -5√11/7.

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Answer:

a. The point is on the graph

b. The point is not on the graph

Step-by-step explanation:

To know if any of the points lie on the graph of 9x - 3y = 63, substitute the value of each given point into the equation to see if the equation is true.

a. (5, -6)

Substitute x = 5 and y = -6 into 9x - 3y = 63:

9(5) - 3(-6) = 63

45 + 18 = 63

63 = 63 (the equation is TRUE)

Therefore, (5, -6) is a point on the graph.

b. (2, 1)

Substitute x = 2 and y = 1 into 9x - 3y = 63:

9(2) - 3(1) = 63

18 - 3 = 63

15 = 63 (this is NOT TRUE)

Therefore, the point (2, 1) is not a point on the graph.

Answer:

The answer is 21/60

Step-by-step explanation:

Given

f(x) = 5 / 2x - 1

f^-1( x) = ?

Let

y = f(x)

y = 5/2x - 1

Interchanging the roles of x and y we get

x = 5/2y - 1

2y - 1 = 5/x

2y = 5/x - 1

y = (5/x - 1)/ 2

f^-1(x) = ( 5/x - 1) / 2

Hope it will help :)

By using the substitution method, the value of x is equal to -1 and the value of y is equal to 1.

In order to solve the given system of equations, we would apply the substitution method. From the information provided in the image attached above, we have the following system of equations:

2x - 3y = -5      .......equation 1.

3x + y = -2          .......equation 2.

From equation 2, we have:

y = -3x - 2

By using the substitution method to substitute equation 3 into equation 1, we have the following:

2x - 3(-3x - 2) = -5

2x + 9x + 6 = -5

11x = -5 - 6

x = -11/11

x = -1

For the value of y, we have:

y = -3x - 2

y = -3(-1) - 2

y = 1.

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Answer:

there is no picture

Step-by-step explanation:

Answer:

...

Step-by-step explanation:

To find the number of calories Davis burns while running for 30 minutes, we can use the information that he burns 1080 calories running for 2.5 hours.

We know that 30 minutes is 1/120 of 2.5 hours. So, we can divide the total number of calories by 120 and we get the calorie burn for 30 minutes:

1080 calories / 120 = 9 calories

The number of calories Davis burns while swimming for 30 minutes can be determined by using the equation y = 266x, where x represents the number of hours he swims. We know that he swims for 30 minutes, or 1/120 hours, so we can plug that value into the equation:

y = 266(1/120) = 2.216 calories

So, Davis burns 7 calories more running for 30 minutes than swimming for 30 minutes, assuming the rates remain constant.

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Answer:

See below.

I really hope it helps! :)

Step-by-step explanation:

(3, 4) location:

(-2, 6) location:

(5, -5)

(-4, -2)

Point E

Point F

Point G:

Point H:

Sadly, I can't solve the spiral review. I am sorry :(

Paul pays 1/10 of the holiday cost, while Billy pays 1/2 and Joe pays 2/5.

To determine the fraction of the holiday cost that Paul pays, we need to find the remaining portion after Billy and Joe have paid their shares.

Let's start by calculating the sum of the fractions Billy and Joe have paid:

Billy's share = 1/2

Joe's share = 2/5

To find the combined share of Billy and Joe, we add their fractions:

1/2 + 2/5

To add these fractions, we need a common denominator. The least common multiple of 2 and 5 is 10. So, we can convert the fractions to have a common denominator of 10:

1/2 = 5/10

2/5 = 4/10

Now, we can add the fractions:

5/10 + 4/10 = 9/10

Billy and Joe have paid a combined fraction of 9/10 of the holiday cost. To find the fraction that Paul pays, we need to determine the remaining portion, which can be calculated by subtracting the combined fraction from 1 (since 1 represents the whole).

Remaining fraction = 1 - 9/10

= 10/10 - 9/10

= 1/10

Therefore, Paul pays 1/10 of the holiday cost.

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Answer:

Step-by-step explanation:

Answer: In decimal form, 14.85

Answer in fraction form: 297/20

Step-by-step explanation:

Answer:

hold on..

Step-by-step explanation:

Answer:

x =  − 4

Step-by-step explanation:

I put your question in a math calculator and this is what I got. Good Luck

Answer:

38

Step-by-step explanation:

Notice that the first triangle is an isosceles triangle, meaning that the base angles are equivalent. Since one angle is 62, we know that the other is 62 as well, which makes 124. This means that angle 2 is 56 degrees. Since 2 and 3 are on the same 'line', they both add up to 180. If 2 is 56, then angle 3 is 124. So the three angles inside the triangle are 124, 18, and x. So, 124+18=142. 180-142= 38

That's correct. The rate in the portion formula can be expressed as a decimal, fraction, or percentage, depending on the context and what is most convenient for the problem being solved.

How do you calculate ratio and proportion? Ans: The ratio formula is written as a: b a/b for any two numbers. Contrarily, the percentage formula is written as a:b::c:da:b::c:da:b=cd.

An equation in which two ratios are made equal is known as a percentage. As an illustration, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls) 1 out of 4 are boys, and 3/ 4 are girls.

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We want to solve the following division:

Using the following division we want to locate the polynomials as shown in the next figure:

We have that the polynomial of the red square is:

we have that its coefficients (the number behind each terms) are:

for x³: 1

for x²: -1

for x: 0

for numbers: -3

Then:

for the polynomial of the purple square (x - z) = (x + 1), we have that

x + 1 = x - (-1), then

x - (-1) = x - z

Then z = -1:

The numbers of the answer section are going to be the addition of each column, and they will be multiplied by z = -1, as the following figure shows:

In the answer section we will have the coefficients of the quotient, and the last number is the remainder:

Now, we have the answer

Answer - the quotient is:

x² -2x + 2

and the remainder is: -5

Answer:

64in cubed

Step-by-step explanation:

Because if the vase if half full, half of 8 is 4. To find the volume of a cube is l x W x H. So 4 x 4 x 4= 64.

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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The approximate price of the new car in 2014 is:

B. $32,200

The general form of a linear equation is given by:

y = mx + c

where y is the future price of the car, x is the number of years, m is the rate of change of price and c is the initial price of the car

c = $27,700

m = ($29,200 - $27,700)/(2010 - 2008)

m = 1500/2

m = $750 per year

In 2014, x = 2014 - 2008 = 6 years

Substituting into y = mx + c:

y = 750(6) + 27,700

y = 4500 + 27700

y = $32,200

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Answer:

I = 91.125

Step-by-step explanation:

Given that:

\(I = \int \int_E \int zdV\) where E is bounded by the cylinder \(y^2 + z^2 = 81\) and the planes x = 0 , y = 9x and z = 0 in the first octant.

The initial activity to carry out is to determine the limits of the region

since curve z = 0 and \(y^2 + z^2 = 81\)

∴ \(z^2 = 81 - y^2\)

\(z = \sqrt{81 - y^2}\)

Thus, z lies between 0 to \(\sqrt{81 - y^2}\)

GIven curve x = 0 and y = 9x

\(x =\dfrac{y}{9}\)

As such,x lies between 0 to \(\dfrac{y}{9}\)

Given curve x = 0 , \(x =\dfrac{y}{9}\) and z = 0, \(y^2 + z^2 = 81\)

y = 0 and

\(y^2 = 81 \\ \\ y = \sqrt{81} \\ \\ y = 9\)

∴ y lies between 0 and 9

Then \(I = \int^9_{y=0} \int^{\dfrac{y}{9}}_{x=0} \int^{\sqrt{81-y^2}}_{z=0} \ zdzdxdy\)

\(I = \int^9_{y=0} \int^{\dfrac{y}{9}}_{x=0} \begin {bmatrix} \dfrac{z^2}{2} \end {bmatrix} ^ {\sqrt {{81-y^2}}}_{0} \ dxdy\)

\(I = \int^9_{y=0} \int^{\dfrac{y}{9}}_{x=0} \begin {bmatrix} \dfrac{(\sqrt{81 -y^2})^2 }{2}-0 \end {bmatrix} \ dxdy\)

\(I = \int^9_{y=0} \int^{\dfrac{y}{9}}_{x=0} \begin {bmatrix} \dfrac{{81 -y^2} }{2} \end {bmatrix} \ dxdy\)

\(I = \int^9_{y=0} \begin {bmatrix} \dfrac{{81x -xy^2} }{2} \end {bmatrix} ^{\dfrac{y}{9}}_{0} \ dy\)

\(I = \int^9_{y=0} \begin {bmatrix} \dfrac{{81(\dfrac{y}{9}) -(\dfrac{y}{9})y^2} }{2}-0 \end {bmatrix} \ dy\)

\(I = \int^9_{y=0} \begin {bmatrix} \dfrac{{81 \ y -y^3} }{18} \end {bmatrix} \ dy\)

\(I = \dfrac{1}{18} \int^9_{y=0} \begin {bmatrix} {81 \ y -y^3} \end {bmatrix} \ dy\)

\(I = \dfrac{1}{18} \begin {bmatrix} {81 \ \dfrac{y^2}{2} - \dfrac{y^4}{4}} \end {bmatrix}^9_0\)

\(I = \dfrac{1}{18} \begin {bmatrix} {40.5 \ (9^2) - \dfrac{9^4}{4}} \end {bmatrix}\)

\(I = \dfrac{1}{18} \begin {bmatrix} 3280.5 - 1640.25 \end {bmatrix}\)

\(I = \dfrac{1}{18} \begin {bmatrix} 1640.25 \end {bmatrix}\)

I = 91.125

Answer:

\( \sf \: a) \: 1\)

Step-by-step explanation:

Given values of variables,

→ e = 3.2

→ d = 10

→ u = 7

The problem needed to solve is,

\( \sf \rightarrow \: \frac{ue}{eu} \)

Let's solve the problem,

\( \sf \rightarrow \: \frac{ue}{eu} \)

\( \sf \rightarrow \: \frac{(7 \times 3.2)}{(3.2 \times 7)} \)

\( \sf \rightarrow \: \frac{22.4}{22.4} \)

\( \sf \rightarrow \: \frac{1}{1} = 1\)

Hence, option (a) is correct.

Answer:

Option A ) 1

Step-by-step explanation:

\(\frac{ue}{eu} = \frac{3.2X7}{7X3.2} = \frac{22.4}{22.4} = 1\)

Hence , Option A ) is the answer

Answer:

A

Step-by-step explanation:

Answer:

What is the negation of the statement?

In Mathematics, the negation of a statement is the opposite of the given mathematical statement. If “P” is a statement, then the negation of statement P is represented by ~P. The symbols used to represent the negation of a statement are “~” or “¬”.

Step-by-step explanation:

Suta purrachina za waurdo

Step-by-step explanation:

w = width

2w + 2 =  Length

Area = W x L  = 84 = w (2w+2)

                          84 = 2w^2 + 2w

                            0 = 2w^2 + 2w - 84        Use Quadratic Formula

                                                                 a = 2    b=2    c = -84

to find  

W = 6      then     L =  14 inches

No, there are x values which map to more than 1 y-value.

Given that Matthew examines the relation as shown in the below.

{(4, -11), (3,1), (0,1), (2,6), (3, -1)}

We need to check whether the relation is a function or not,

So, we know that,

A relation can map inputs to multiple outputs. It is a function when it maps each input to exactly one output. The set of all functions is a subset of the set of all relations.

If any x values are repeated, and the corresponding y values are different, then we have a relation and not a function.

Here we can see that the y values are repeated, so it is not a function.

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