What is the slope of the function?
pls answer

The relationship between the angles formed on the exterior of parallel lines on the same side is Co-Exterior Angles

In the picture mentioned, there are two lines m and n parallel to each other and a transversal t. It forms exterior angles on the same side of the transversal as highlighted. According to the property of Co-exterior angles,

                                    =>  ∠1  ≅ ∠8

                                    =>  ∠2  ≅ ∠7

When a transversal is constructed on parallel lines, there are angles formed on both interior and exterior sides of the parallel lines. The pair of angles formed on the exterior side of parallel lines which are on the same side of the transversal dropped on the parallel lines are called Co-exterior angles. These angles formed are congruent to each other.

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Answer:

Henry's garden:

Divide 24 and 18 by 6: you get a 4:3 ratio of tomato: green bean

Simon's garden:

divide both 30 and 25 by 5: you get a 6:5 ratio of tomato: to green bean.

Step-by-step explanation:

Hope this helps!

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

[-6, ∞)

-6 with bracket because open circle means not equal to.

positive ∞ because arrow shows x going forever.

Answer:

18

Step-by-step explanation:

To find 10% of 180:

multiply 180 with 10 then divide it by 100

180×10÷100 = 18

The graph has two lines and the lines are parallel lines.

Given that,

There is graph in the picture with 2 lines and 4 points.

The points are A=(0,6) and B=(8,0) of line 1.

The points are C=(-3,4) and D=(0,2) of line 2.

From the line 1 points A and B we can find the equation by using the slope equation formula.

Let take A=(0,6)=[tex](x_{1} ,y_{1} )[/tex] and B=(8,0)=[tex](x_{2} ,y_{2} )[/tex]

slope m= [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} } =\frac{0-6}{8-0}=\frac{-6}{8}=\frac{-3}{4}[/tex]

Now, To find the equation of the line the formula is

[tex]\frac{y -y_{1} }{y_{2} -y_{1} } =\frac{x -x_{1} }{x_{2} -x_{1} }\\\frac{y -6}{0 -6 } =\frac{x -0 }{8 -0 }\\\frac{y-6}{-6}=\frac{x}{8}\\ 8(y-6)=x(-6)\\ 8y-48=-6x\\6x+8y-48=0[/tex]

Therefore, the 1st line equation is [tex]6x+8y-48=0[/tex]

Let take C=(-3,4)=[tex](x_{1} ,y_{1} )[/tex] and D=(0,2)=[tex](x_{2} ,y_{2} )[/tex]

slope m= [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} } =\frac{2-4}{0-(-3)}=\frac{-2}{3}[/tex]

Now, To find the equation of the line the formula is

[tex]\frac{y -y_{1} }{y_{2} -y_{1} } =\frac{x -x_{1} }{x_{2} -x_{1} }\\\frac{y -4}{2 -4 } =\frac{x -0 }{-3 -0 }\\\frac{y-4}{-2}=\frac{x}{-3}\\ -3(y-4)=x(-2)\\ -3y+12=-2x\\2x-3y+12=0[/tex]

Therefore, the 2st line equation is [tex]2x-3y+12=0[/tex].

So, from the 2 equation we have

6x+8y-48=0 and 2x-3y+12=0.

[tex]a_{1} =6,b_{1} =8,c_{1} =48[/tex]

[tex]a_{2} =2,b_{2} =-3,c_{2} =12[/tex]

We have to check weather it satisfy the condition or not.

[tex]\frac{6}{2}\neq\frac{8}{-3} \\\frac{a_{1} }{a_{2} }\neq\frac{b_{1} }{b_{2} }[/tex]

Therefore, it satisfy the condition so the lines are parallel lines.

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Answer:

assuming that "x" is a multiplication symbol

(4.2*2)10^-5

0.00001 * 8.4

Using direct variation, As y varies directly with x, for y=6 the value of x will be -3.

Direct variation is the change in one quantity as a result of the change in another. This suggests that if one quantity rises or falls, the other must rise or fall correspondingly as well.

As y varies directly with x,

Using direct variation,

⇒ y = kx

⇒ 4 = k (-2)

⇒ k = -2

⇒ For y = 6,

⇒ x = y / k

⇒ x = 6 / -2

⇒ x = -3

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21790 hello brodi you ok

Answer:

yes he will come back eventually just wait or you can goo look for him

Answer:

4.5

Step-by-step explanation:

To answer the problem:

PK * PN = PL^2

Let PN = x

8x = 10^2

8x = 100

x = 100/8

x = 12.5

KN = PN - PK

12.5 - 8 = 4.5 would be the length of segment KN.

Answer: Yes

Step-by-step explanation:

3/4 of 42 is (3/4)(42)=31.5, and 41 is greater than 31.5.

Answer:

x=43 degrees

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Vertical Angle Theorem

30=6x

5=x

Answer:

x=5

Step-by-step explanation:

Hello! No worries, Geometry is very confusing.

There are several proofs and theorems to use when trying to prove an angle size. In this picture, we see two lines intersecting, forming an intersection point with two similar looking angles.

With the Vertical Angles Theorem, it explains that when two lines intersect such as shown here, the angle on the vertical side of the original angle are both equal to the same number and is identical. Similarly, using this theorem we know that the unnamed angles (the big ones) are identical too, as they are vertical sides of each other.

Now we know the angle 6x and 30 degrees are equal to each other. So how do we solve x?

We can solve for x by making it equal to each other, signaling that you understand the Vertical Angle Theorem and stating that those two angles are equal to each other.

6x=30            Divide by 6 both sides to isolate the x varianle

x=5

Therefore, x is equal to 5.

Answer:

because shjnanavanakab abakagavajamannsjsvvee. eshjana

Answer:

an = -3n + 4

Step-by-step explanation:

two parts are $280 and $210 when divided $490 in the ratio of 4:3.

In mathematics, a ratio illustrates how many times one number is present in another. For instance, the ratio of oranges to lemons in a fruit plate would be eight to six if there were eight oranges and six lemons. Oranges make up 8:14 of the total fruit, whereas lemons make up 6:8 of the total fruit.

dividing $ 490 in the ratio 4:3

     490 * (4/(4+3)) = 280 _______________(1)

     490 *(3/(4+3)) =  210________________(2)

so the two parts are $280 and $210

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The tether should be 8.5 feet long.

In this question,

Blake is setting up his tent at a renaissance fair.

The tent is 8 feet tall, and the tether can be staked no more than two feet from the tent.

The stake, height and tether length of the tent form a right angle triangle where the tether length is the hypotenuse.

Applying Pythagoras theorem:

length² = height² + (stake distance)²

length = √(8² + 2²)

length = 8.5 feet

Therefore, the tether should be 8.5 feet long

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Answer:

G'( -4 , -3 )

Step-by-step explanation:

Use the rule ( x, y ) changes to ( x , -y )

The original point of G is ( -4, 3 )

The x value stays the same, -4

The y value is multiplied by (-1), (3)(-1) = -3

Using equations of the form y=f(x), you may be able to modify the graph in various ways. For example, you can move the chart up, down, left, or right, flip it around the x or y-axis, or stretch or shrink it vertically or horizontally. Understanding these transformations makes it easy to graph different functions. Start with a "basic model" and apply a series of modifications to change it to the desired function.

X     F(X)           F(X)+4

-2      -2                 2

-1      -1                 3

0      0                 4

1       1                 5

2      2                 6

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Answer: [tex]h > -38[/tex]

Step-by-step explanation:

11h > -2(-5h +19)

Expand = [tex]-2\left(-5h\right)+\left(-2\right)\cdot \:19[/tex] = [tex]2\cdot \:5h-2\cdot \:19[/tex]

Simplify 2 times 5h-2 times 19: 10h-38

[tex]11h-10h > 10h-38-10h[/tex]

Simplify=[tex]h > -38[/tex]

Applying induction to the size of the matrix, we can demonstrate that the eigenvalues of Ak are k for every positive integer k if A is a square matrix with eigenvalues. In light of this, A2's eigenvalues are exactly 2. (the squares of the eigenvalues of A).

When a linear transformation is applied to a nonzero vector in linear algebra, the vector's eigenvector, also known as its characteristic vector, changes by a maximum scalar amount. The eigenvector is scaled by the associated eigenvalue, which is frequently represented by the symbol λ.

It is conceivable for a matrix to contain an eigenvalue of zero.

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By elimination, the solution of the system of equations, 3u + 3v = 15 and -2u + 3v = -5, is (u , v) = (4 , 1).

A system of equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy all the equations.

There are three methods that can be used to solve system of equations.

1. Elimination

2. Substitution

3. Graphing

Using the elimination method, given two equations in u and v, a variable should be eliminated by adding/subtracting the two equations.

Subtracting the two equations will eliminate the variable v.

3u + 3v = 15     (equation 1)

-2u + 3v = -5     (equation 2)

5u         = 20

u = 4

Substitute the value of u to any of the two equations and solve for v.

3u + 3v = 15     (equation 1)

3(4) + 3v = 15

3v = 15 -12

3v = 3

v = 1

Hence, the solution of the system of equations is (u , v) = (4 , 1).

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The graph represents a function that is non-linear, decreasing and continuous.

In this problem we look at the graph carefully and must infer the most important features of the curve. The following features are listed and explained below:

In a nutshell, the graph represents a function that is non-linear, decreasing and continuous.

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Answer:

3) 21

4) between 6 and 7

5) 14

6) 7

7) 5

Step-by-step explanation:

3) √441 = 21

4) We write √40 to be the square root of 40, and can investigate between which two whole numbers it lies. The number 40 lies between 36 and 49 hence √40 lies between 6 and 7.

5) √184 to whole number

= 13.6 = 14

∴ √184 is equal to 14 round to a whole number

6) √45 to whole number is 7

=6.7 = 7

7) √27 to whole number is 5

=5.2 = 5

The equation of the line in point-slope form, with slope equal to 3 and passing through the point located at (1 , 5), is (y - 5) = 3(x - 1).

The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.

The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).

Using the point slope form, plug in the values to set up the equation.

(y - y1) = m(x - x1)

where m = 3 and (x1 , y1) = (1 , 5)

(y - 5) = 3(x - 1)

In slope-intercept form, the equation of the line is:

(y - 5) = 3(x - 1)

y - 5 = 3x - 3

y = 3x + 2

In standard form, the equation of the line is:

y = 3x + 2

3x - y = -2

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