Distribute and simplify these radicals.
[tex]\sqrt{12} times(-1+\sqrt{5} )[/tex]

Answer:

DE

Step-by-step explanation:

a tangent is a straight line that only touches the circle at one point.

Answer:

(x-2)(4x³+8x²+15x+18)

Answer:

i think 150 degrees

Step-by-step explanation:

the 30° angle and ∠1 are a linear pair, and are supplementary. therefore they add up to 180°
∠1 + 30° = 180°

Answer:

s. p = 270 Rs

discount = 10%

mp.= ?

Mp = s. p + discount

= 270 + 10/100*270

= 270 + 27

= 297 Rs

Answer:

[tex]\huge\boxed{\sf Rs.\ 297}[/tex]

Step-by-step explanation:

Selling Price = Rs. 270

Discount = 10%

= 10% of 250

[tex]\displaystyle =\frac{10}{100} \times 270[/tex]

= 1 × 27

= Rs. 27

= Selling Price + Discount

= 270 + 27

= Rs. 297

[tex]\rule[225]{225}{2}[/tex]

The quadratic equation 3 · x² + 7 · x - 2 = 0 has a positive discriminant. Thus, the expression has two distinct real roots (real and irrational roots).

Herein we have a quadratic equation of the form a · x² + b · x + c = 0, whose discriminant is:

d = b² - 4 · a · c     (1)

There are three possibilities:

If we know that a = 3, b = 7 and c = - 2, then the discriminant is:

d = 7² - 4 · (3) · (- 2)

d = 49 + 24

d = 73

The quadratic equation 3 · x² + 7 · x - 2 = 0 has a positive discriminant. Thus, the expression has two distinct real roots (real and irrational roots).

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g(x) is a shift of 8 units to the left and 4 units of f(x), then the correct statement is B.

First, a vertical shift of N units is written as:

g(x) = f(x) + N

A horizontal shift of N units is written as:

g(x) = f(x + N).

In this case, we have:

g(x) = f(x + 8) + 4

So g(x) is a shift of 8 units to the left and 4 units of f(x), then the correct statement is B.

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Answer:

A 2 19/64

Step-by-step explanation:

change the proper fractions into mixed fractions then remember to reciprocate the number at your right hand then calculate good day.

The range of the function shown on the graph below is equal to 0 ≤ y ≤ 7.

A range refers to the set of all real numbers that connects with the elements of a domain. This ultimately implies that, a range is the solution set on the y-axis.

Based on the graph of the two points, we can logically deduce the following information:

Therefore, the range of the function shown on the graph below is equal to 0 ≤ y ≤ 7.

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Step-by-step explanation:

x=4,-6

im pretty sure this is correct

Answer:

Step-by-step explanation:

The true statement is Peter walks at a rate of 13 over 4 miles per hour.

Direct variation is when two variables move in the same direction. If one variable increases, the other variable increases. When the hour Peter walks increases, the distance he walks also increases.

Here are the options:

Peter walks at a rate of StartFraction 4 over 13 EndFraction miles per hour.

Peter walks at a rate of 4 miles per hour.

Peter walks at a rate of StartFraction 13 over 4 EndFraction miles per hour.

Peter walks at a rate of 13 miles per hour.

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Answer:

2 solutions: ( -4,0 )

( -6,0 )

2 Non solution: ( 2,0 )

( 4,0 )

Answers:

Refer to the graph below

Two solution points are (-5,-4) and (-4,-3)

Non solution points are (0,3) and (1,4)

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

Explanation:

The boundary line for [tex]y \ge 3x+3[/tex] is [tex]y = 3x+3[/tex]

This linear equation has a y intercept of (0,3) and another point on the line is (1,6). Plot these two points and draw a straight line through them. This line is a solid boundary line because of the "or equal to" as part of the inequality sign. This means points on the boundary adjacent to the shaded region area part of the solution set.

Because of the "greater than" portion, we'll shade above the solid boundary line. This only works because y is isolated.

Keep in mind that we're also told that [tex]y < -2[/tex] which means we'll also shade the region below the boundary line [tex]y = -2[/tex]. This is a dashed line through -2 on the y axis. A dashed line does not include points on the boundary as part of the solution.

---------------

To summarize: We shade above y = 3x+3 (solid) but below y = -2 (dashed).

Refer to the diagram below to see what's going on.

The entire southwest region is shaded.

That blue shaded region represents all (x,y) points that make the system true.

For example, the point (-5,-4) is in the blue region.

Notice how plugging the coordinates into the first inequality gets us...

[tex]y \ge 3x+3\\\\-4 \ge 3(-5)+3\\\\-4 \ge -15+3\\\\-4 \ge -12\\\\[/tex]

which is a true statement. If you plugged y = -4 into [tex]y < -2[/tex], you would also get another true statement.

Both inequalities are true for (x,y) = (-5,-4) which confirms it to be a solution point.

You should also find that a point like (-4,-3) is another solution in the blue region following similar steps. There are infinitely many solution points to pick from. Feel free to choose others.

Non-solution points are such that they aren't in the shaded region. We could also pick points on the dashed boundary line as non-solutions.

Side note: you can pick points on the solid boundary as solution points, but those points must be adjacent to the shaded region. The point (0,3) is NOT a solution even though it's on the solid boundary line.

Answer:

[tex] \frac{2}{33} [/tex]

Step-by-step explanation:

There are 22 cookies in all.

The probability of selecting an oatmeal cookie is 4/22, or 2/11. Since that cookie is eaten, there are 21 cookies left, so the probability of selecting a chocolate chip cookie is 7/21, or 1/3. Multiplying these probabilities, we have 2/33.

Answer:

Y + 15 = 30

Y = 30 - 15

Y = 15

15 is not equal to 20

False

The area  of Vivian’s garage door is 62.5 square feet

The Vivian garage is made up of a trapezoid and a rectangle. The area of the door is expressed as;

Area = Area of rectangle + area of trapezoid

Area = (5 * 8) + 0.5(7 + 8)*3
Area= 40 +22.5
Area = 62.5 square feet

Hence the area  of Vivian’s garage door is 62.5 square feet

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Answer:

yes your eqation is correct...

The proportion that is equivalent to the original equation is [tex]\frac{x+1}{2x} =\frac{x^2-7x+10}{4x}[/tex]

Given the following expression

[tex]\frac{1}{2} + \frac{1}{2x} =\frac{x^2-7x+10}{4x}[/tex]

In order to find the equivalent proportion, we will find the LCM of the right side expression to have:

[tex]\frac{1}{2} + \frac{1}{2x} =\frac{x^2-7x+10}{4x}\\\frac{x+1}{2x} =\frac{x^2-7x+10}{4x}[/tex]

Hence the proportion that is equivalent to the original equation is [tex]\frac{x+1}{2x} =\frac{x^2-7x+10}{4x}[/tex]

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Answer: For the next part

✔ x = 1 and x = 8

✔ x = 0

Fold tracing paper so that the line segment's endpoints line up with each other ,  Option D is the correct answer.

A perpendicular is a line drawn at 90 degree to a given line or line segment .

Fold tracing paper so that the line segment's endpoints line up with each other.

After drawing a line segment ,

when the end point will be on each other and a crease will be made by pressing the paper , The crease formed will be perpendicular to the line segment.

Therefore,  Option D is the correct answer.

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Answer:

The correct answer is C.

Step-by-step explanation:

Fold tracing paper so that the line segment's endpoints line up with each other.

a)The total inside length of the curved ends of the track will be 25.13 meters

b)The total distance around the inside of the track will be 275.13 meters

c)The area inside the track is 10050 square meters.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

Given that:-

A stadium has a central rectangular area 125m long by 80m wide. there are two semi-circular ends. a running track goes all the way around.

a) what is the total inside length of the curved ends of the track?

The length of the curved track means it is a perimeter of the circle so the radius of the semicircle will be 4 meters.

So the length will be = π r + πr = 2 πr

                                  = 2 x π x 4 = 25.13

b) what is the total distance around the inside of the track?

The total distance of the track will be the sum of the length of the two semicircles and the longer side of the rectangle.

Total length = 125 + 125 + 25.13

                     = 275.13 meters

c) what is the area inside of the track?

The area will be equal to the area of the two semicircular tracks and the rectangular track.

Total Area = Area of semicircle + Area of semicircle + Area of rectangle

                  = ( π/2 ) r² + (π/2) r² + ( L x W )

                  =  π  r² + (  L x W)

                  = π ( 4 )² + ( 125 x 8 )

                  = 10050.26 square meters.

Therefore the total inside length of the curved ends of the track will be 25.13 meters. The total distance around the inside of the track will be 275.13 meters. The area inside the track is 10050 square meters.

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An equation is formed when two equal expressions. The equation of the line in point-slope form is y+2=0.5x.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The line that passes through point (-4, -4), (0, -2), and (4, 0), have the slope as,

m = (-2 - 0)/(0-4)

m = -2/-4

m=1/2

m = 0.5

The equation now in point slope form can be written as,

(y+2) = 0.5(x+0)

y+2=0.5x

Hence, the equation of the line in point-slope form is y+2=0.5x.

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Answer:

A dilation preserves angle measures.

A dilation alters the length of line segments by the same proportion.

Step-by-step explanation:

A dilatation is a transformation that alters a figure's size while maintaining its shape and orientation. Each linear measure of the figure, such as a side length, is multiplied by the scale factor of a dilatation. A dilation is a transformation where all line segments' lengths are altered uniformly. While a dilatation can alter a figure's size, it cannot alter a figure's form. Dilations are not isometries as the figure's size changes.

The height of a vertical brace placed 8 ft from the low end of the roof is 6 feet.

An equation is an expression that shows the relationship between two or more variables and numbers.

Slope of roof = ratio of rise to run = rise / run = 9/12 = 3/4

If the brace is placed 8 ft from the low end of the roof, hence:

height of brace = slope * 8 = 3/4 * 8 = 6 ft

The height of a vertical brace placed 8 ft from the low end of the roof is 6 feet.

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The expression that is equivalent to 1/3y is 1/6y + 1/6(y + 12) - 1/6 * 12

The expression is given as:

1/3y

Express 1/3y as 1/6y + 1/6y

So, we have:

1/6y + 1/6y

Factor out y

1/6y + 1/6(y)

Add 0 to the above equation

1/6y + 1/6(y + 0)

Express 0 as 12 - 12

1/6y + 1/6(y + 12 - 12)

Expand

1/6y + 1/6(y + 12) - 1/6 * 12

Evaluate the product

1/6y + 1/6(y + 12) - 2

Hence, the expression that is equivalent to 1/3y is 1/6y + 1/6(y + 12) - 1/6 * 12

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The expression that is equivalent to 1/3y is 1/6y + 1/6(y + 12) - 1/6 * 12

The expression is given as:

1/3y

Express 1/3y as 1/6y + 1/6y

So, we have:

1/6y + 1/6y

Factor out y

1/6y + 1/6(y)

Add 0 to the above equation

1/6y + 1/6(y + 0)

Express 0 as 12 - 12

1/6y + 1/6(y + 12 - 12)

Expand

1/6y + 1/6(y + 12) - 1/6 * 12

Evaluate the product

1/6y + 1/6(y + 12) - 2

Therefore, the expression that is equivalent to 1/3y is 1/6y + 1/6(y + 12) - 1/6 * 12

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The LinReg line of best fit for this data set is ŷ = -1.24X + 0.66

A linear regression line has an equation of the form Y = a + bX, where X is the explanatory variable and Y is the dependent variable.

Given:

(−5, 6.3),

(−4, 5.6),

(−3, 4.8),

(−2, 3.1),

(−1, 2.5),

(0, 1.0),

(1, −1.4)

Sum of X = -14

Sum of Y = 21.9

Mean X = -2

Mean Y = 3.1286

Sum of squares (SSX) = 28

Sum of products (SP) = -34.6

Regression Equation,

ŷ = bX + a

b = SP/SSX = -34.6/28 = -1.23571

a = MY - bMX = 3.13 - (-1.24*-2) = 0.65714

ŷ = -1.23571X + 0.65714

ŷ = -1.24X + 0.66

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Answer:

There are no "following values" in the problem.

Step-by-step explanation:

ƒ(x) = -2x + 3

For any value of X, enter that number in the equation and calculate f(x) [y].

For example, if x is 2:  

ƒ(x) = -2x + 3

ƒ(2) = -2(2) + 3

y =  -2(2) + 3

y = -4+3

y = -1

The ordered pair for when x=2 would be (2,-1)

The shape of the cross-section resulting from the cut is rhombus.

A rhombus simply means a shape that has opposite sides to be parallel and the sides are equal.

Given:

object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges.

Edges of the object in the diagram are equal in length and that the object is cut by a vertical plane containing A and B.

Hence, the shape of the cross-section resulting from the cut is a rhombus.

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Step-by-step explanation:

domain XER\{2kπ},kE

The value of (StartFraction f Over g EndFraction) (5) will be 270

Fraction is a number that is stated as a quotient in mathematics, when the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a correct fraction is smaller than the denominator.

Given f(x) = 7 + 4x and g (x) = StartFraction 1 Over 2 x EndFraction

We have to find the value of (StartFraction f Over g EndFraction) (5)

Given that the functions f and g are defined by f(x) = 7 + 4x and g(x) = 1/2x

First find the value of (f/g)(x):

(f/g)(x) = (7+4x)/(1/2x)

=(7+4x)(2x)

=7(2x)+4x(2x)

(f/g)(x) = 14x + 8x^2

Put x=5 in the above function,

(f/g)(5) = 14(5) + 8(5)^2

= 70+8(25)

= 70+200

(f/g)(5) = 270

Hence value of (StartFraction f Over g EndFraction) (5) will be 270

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Answer: D.270

Step-by-step explanation:

just got it right on unit test on edge

Answer:

y = 7+2x

Step-by-step explanation:

4x = 5 - 2y __(1)

y - 2x = 7 __(2)

From eq (2) ,

y = 7 + 2x

Hence, we can substitute (7+2x) in place of y in the first equation.

The categories of nominal level distribution do not have to be listed in any particular order

These characteristics include:

Therefore, the categories of nominal level distribution do not have to be listed in any particular order

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