a side of a triangle was reduced by a scale factor of 2/3 if the new side is now 18 inches what was the original side

Linear regression are used to represent scatter plots

The linear regression equation is: \(y = -0.223x + 24.081\)

Start by entering the table values in a graphing calculator.

From the graphing calculator, we have the following calculation summary

Hence, the linear regression equation is:

\(y = -0.223x + 24.081\)

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The line of best fit is y = -0.223x + 24.081

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line (rate of change) and b is the y intercept (initial value of x).

Plotting the values of the table using geogebra online graphing tool, the line of best fit is y = -0.223x + 24.081

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Answer:

1. x=5. 2. x=3

Step-by-step explanation:

Ok, so I actually spent 2 hours doing the first problem, I considered the angles to be different at first, i will add my messy work if you are interested haha.

However, I realized that the only way this question can be possible to solve is if the angles are equal, and there is no information given to say that they are different (they are both indicated by one line, while angles that are different are usually represented with multiple lines).

The general method for such problems is to consider the ratio of the sides to the side lengths into which the long side is divided.

For the first picture, the answer can be found by: 9/(2x-1) = 15/(3x). From here, we find that x = 5 (do some algebra). I actually got the same answer when doing this problem with the sine rule.

I am only looking now at the second problem, and i can tell straight away that we can get the solution by solving 3/2.25 = 4/x. x = 3 after some algebraic manipulation.

So yeah, this was a not so fun experience of trying to do this problem without knowing the angles were equal, but i learned a lot haha :)

PS. I am only adding my terrible working out because i hate myself for being so silly

Answer:

Step-by-step explanation:

Use of angle bisector theorem:

#1

#2

Answer:

so do i get brainiliest???

Step-by-step explanation:

Step-by-step explanation:

the last option represents the correct answer; for more details see the attached picture.

Answer:

100 pounds

Step-by-step explanation:

2/5 ton equals 800 pounds

800 divided by 8 equals 100 pounds

Answer:

(C) y = 3x

Step-by-step explanation:

Directly proportional relation is one in which the value of x and y gets increases or decreased in same proportion.

example of such relation can be y = kx

where k is the constant of proportionality which depicts by how much value of  y will change in response to change of x.

_______________________________________________

now in the option

A and B

y= 9 , y =1/5

value of y is constant and does not depend on other variable. it value will remain same.

for y = x+4

value of y increases with x but it does not increase proportionally.

let see an example for x =1 , y = 1+4 = 5

x =2 , y = 2+4 = 6

(1,5)  and (2,6) are not proportionally changing also this equation is not of form y = kx

thus, it is incorrect option.

_______________________________

(C) y = 3x

here equation is form y =kx .  in place of k there is 3

let see an example for x =1 , y = 3*1 = 3

x =2 , y = 3*2 = 6

(1,3)  and (2,6) are  proportionally changing (1/3 = 2/6) also this equation is  of form y = kx

thus, it is correct option.

Answer:

x=3 and y=-4

(3,-4)

Step-by-step explanation:

I searched it up :/

Answer:

x = 3 and y = -4

Step-by-step explanation:

Solve y = 2x-10 for y:

y=2x-10

Substitute 2x-10 for y in y = -3x+5:

y=-3x+5

2x-10=-3x+5

2x-10+3x=-3x+5+3x (add 3x to both sides)

5x-10=5

5x-10+10=5+10 (add 10 to both sides)

5x=15

5x/5=15/5 (divide both sides by 5)

x = 3

Substitute 3 for x in y = 2x-10:

y=2x-10

y=(2)(3)-10

y=-4 (simplify both sides of the equation.

Therefore your answer is x = 3 and y = -4.

Answer: A

because slope are

The standard form of the equation of the parabola with a focus of (4, -3), and a directrix of x = 0 is; (y + 3)² = 8·(x - 2)

The equation of a parabola with a focus (4, -3) and a directrix of x = 0, can be found using the definition of the curve of a parabola, which is a curve that describes the location of a point that is equidistant from the focus and the directrix.

Let (x, y) represent the coordinate of the point, therefore;

The distance of the point from the point to the focus is therefore;

Distance = √((x - 4)² + (y + 3)²)

The distance from between the point and the directrix = |x|

According to the definition of the locus of a parabola, therefore;

√((x - 4)² + (y + 3)²) = |x|

(x - 4)² + (y + 3)² = x²

x² + y² - 8·x + 6·y + 25 = x²

x² - x² + y² - 8·x + 6·y + 25 = 0

y² - 8·x + 6·y + 25 = 0

y² + 6·y + 25 = 8·x

However, we get; Directrix, x = h - p

focus = (h + p, k)

Therefore;

h + p = 4

k = -3

h - p = 0

2·h = 4 + 0 = 4

h = 4/2 = 2

h = 2

p = 4 - 2 = 2

p = 2

The equation of a parabola is; (y - k)² = 4·p·(x - h)

The equation of the parabola is; (y - (-3))² = 4 × 2 × (x - 2)

The standard form of the equation is therefore;

(y + 3)² = 8·(x - 2)

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Answer:

864 cubic meters

Step-by-step explanation:

Rectangular prism = 5x9x12=540

Triangular prism = 1/2(9)(6)(12)=324

540+324=864 cubic meters

Answer:

Point A is at (0, –4).

Point B is at (–8, –7).

Step-by-step explanation:

point A is 4 units down : y = –4

Point B is 8 units to the left : x = –8

and 7 units down: y = –7

A : (0, –4)

B : ( –8, –7)

Answer:

The equation would be:

58 times 65

The answer:

3,770

Step-by-step explanation:

Answer:

Both A and B

Step-by-step explanation:

Both a and b. A three-way intersection can be referred to as a T-intersection or a Y-intersection, depending on the shape of the intersection. In a T-intersection, one road intersects another road perpendicularly, forming a T-shape. In a Y-intersection, one road splits into two branches, forming a Y-shape.

Answer:

El area del trapecio mresponde a la relación

                      A = 1/2(B + b)*h

                          B = base mayor

                           b = bas menor

                           h = altura

En el caso en esrudio

                                              250 = 1/2(B + 20)*10

                                     2*250/10 = B + 20

                                                50 = B + 20

                                        50 - 20 = B

                                                  B = 30

                                                                BASE MAYOR = 30 PIES

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

the slope is 95

Step-by-step explanation:

to find the slope of the line divide the change in y by the change in x

if x is minutes and y is meters

190/2=95

Answer:

(2,12) (1,6)

Step-by-step explanation:

because 6x+y you can plug any of the values in to get this answer:) hope this helps

Alright, so a circle is 360 degrees. We know there's an arc of 90 and an angle extending from the radius being 125.

Since the given angle extending from the radius is at the radius, there will also be a 125 degree arc at the circumference of the circle there.

With this, do:

360-90-125 = 145

to get the amount of arc in the unknown area.

Still though, we need to find the x value, so get the unknown value and set it equal to 145.

16x + 1 = 145

16x + 1-1 = 145-1

16x=145

x = 9.0625 or 9 1/16

Hope that helps.

The order of the side lengths of the triangles from the least to the greatest is Lk < JL < IJ < JK < IK.

If the angle facing a side of a triangle increases, then the length of the opposite side may also increase. This is because the larger the angle, the more vertical the opposite side becomes, and therefore the longer it may become.

Conversely, if the angle facing a side of a triangle decreases, then the length of the opposite side may also decrease. This is because the smaller the angle, the less vertical the opposite side becomes, and therefore the shorter it may become.

From the given diagram, the largest side of the triangle will be the side directly opposite the largest angle.

Also, the smallest side of the triangle will be the side directly opposite the smallest angle.

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When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Answer:

what is the question?

Step-by-step explanation:

According to this inequality, the number of persons attending a theatrical inequality  play, denoted by p, must be less than or equal to 275 in order for everyone to have a seat.

In mathematics, an inequality is a non-equal connection between two expressions or values. As a result, imbalance leads to inequity. In mathematics, an inequality connects two values that are not equal. Inequality is not the same as equality. When two values are not equal, the not equal symbol is typically used (). Various disparities, no matter how little or huge, are utilised to contrast values. We resuming our current status quo. Yet a variety of things lead to inequality: Negative values on both sides are split or added.

a. The disparity in representing the voting age in the United States is as follows:

a ≥ 18

In order to be eligible to vote, a voter's age, denoted by a, must be more than or equal to 18 years old.

b. The inequality used to depict a theater's seating capacity is:

p ≤ 275

According to this inequality, the number of persons attending a theatrical play, denoted by p, must be less than or equal to 275 in order for everyone to have a seat.

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The algebraic expression that is a polynomial is -6x³ + x² - √5

Polynomials are algebraic expressions that consist of variables and coefficients.

In a simpler term a polynomial can have constants, variables and exponents, but never division by a variable.

Therefore, the polynomial among the options is as follows:

-6x³ + x² - √5

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Answer:

top left

Step-by-step explanation:

an outlier is one piece of data is separated from the rest, one dot is at 5 which the rest are between 11 and 16.

Answer:

z -2 = 10

Step-by-step explanation:

11z-9-10z+7 = 10

Combine like terms on the left side

11z -10z     -9+7  =10

z -2 = 10

Answer: z=12

Step-by-step explanation:

\(11z-9-10z+7=10\\z-9+7=10\\z-2=10\\z=12\)