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Given:

The equations of lines are

[tex]y=\dfrac{4}{5}x+8[/tex]

[tex]20y+25x=180[/tex]

To find:

The relation between two of lines.

Solution:

The slope intercept form of a line is

[tex]y=mx+b[/tex]

Where, m is slope and b is y-intercept.

We have,

[tex]y=\dfrac{4}{5}x+8[/tex]        ...(i)

[tex]20y+25x=180[/tex]          ...(ii)

Equation (i) can be written as

[tex]20y=-25x+180[/tex]

[tex]y=\dfrac{-25x+180}{20}[/tex]

[tex]y=\dfrac{-25x}{20}+\dfrac{180}{20}[/tex]

[tex]y=\dfrac{-5x}{4}+9[/tex]             ...(iii)

On comparing (i) with slope intercept form, we get

[tex]m_1=\dfrac{4}{5}[/tex]

On comparing (iii) with slope intercept form, we get

[tex]m_2=-\dfrac{5}{4}[/tex]

Now,

[tex]m_1\times m_2=\dfrac{4}{5}\times (-\dfrac{5}{4})[/tex]

[tex]m_1\times m_2=-1[/tex]

The product of slopes of both lines is -1. We know that the product of slopes of two perpendicular lines is -1.

Therefore, the given lines are perpendicular.

Answer: x = 5

Step-by-step explanation:

Use Pythagorean's Theorem

[tex]a^2+b^2=c^2\\12^2+x^2=13^2\\144+x^2=169\\x^2=25\\x=5[/tex]

Answer:

D

Step-by-step explanation:

Answer:-11

Step-by-step explanation: -3+-8=-11

Answer:

500 i belive sorry if i wroung

Step-by-step explanation:

Step-by-step explanation:

-3x + 7y = 5x + 2y (you subtract the 2y from both sides)

-3× + 5y = 5x (then add 3x to both sides)

5y = 8x (use x = - 5)

5y = 8x - 5 = -40 (both sides are divided by 5)

y = -8

answer is (-5, -8)

Answer:

i thank is is the number 2

Answer: x = 1 and y = 2

Step-by-step explanation:

Solve for y in the first equation by adding 2x to both sides

[tex]y=2x[/tex]

Then plug this in for the y value in the second equation

[tex]3x+4(2x)=11[/tex]

Combine like terms and simplify

[tex]3x+8x=11\\11x=11\\x=1[/tex]

Plug x into either equation to find the y value

[tex]y=2x\\y=2(1)\\y=2[/tex]

Answer:

x^2 - 2x + 4

Step-by-step explanation:

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

Explanation:

It honestly depends on the CAS program, but for GeoGebra for instance, the general format would be Division[P, Q]

Where,

As another example, let's say we want to divide x^2+5x+6 all over x^3+7 as one big fraction

We would type in Division[x^2+5x+6, x^3+7]

Answer:

Your answer is. a=14-3b

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The equation of 'b' in terms of 'a' will be b = (14 - a) / 3.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The equations are given below.

a = 3t - 10          ...1

b = 8 - t             ...2

From equation 2, then we have

b = 8 - t

t = 8 - b

Put the value of t in equation 1, then we have

a = 3(8 - b) - 10

a = 24 - 3b - 10

a = 14 - 3b

3b = 14 - a

b = (14 - a) / 3

The equation of 'b' in terms of 'a' will be b = (14 - a) / 3.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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Answer:

3Y - 4X - 4

Step-by-step explanation:

Answer:

12.58

Step-by-step explanation:76+70-360/17=w

w = 2

70+76= 146

180-146=34

17w = 34

divide by 17 on each side

answer is w=2

Answer:

90

Step-by-step explanation:

We can check this by finding 20% of 90 and seeing that it is equal to 18

Answer:

the answer is 43%

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Answer:

we don't know the exact value of "a number" so we can assign it the letter value x

so we know that x-8 is less than or equal to 17

you would solve this the same way you would solve any other equation so

x is less than or equal to 25

Answer:

She pays 0. 05$

Step-by-step explanation:

Cost per once is 40, peanut butter is 5. 20 divide those 2 you will get 0. 13

Now divide it by the butter price 2. 70/15

It will be 0. 18

Subtract 0. 18-0. 15

Mia can purchase a 40-ounce jar of peanut butter for $5.20 or a 15-ounce jar for $2.70.  How much does Mia save per ounce by buying the 40-ounce jar?

She pays 0.05$

Answer:

42637646e6r7r7e7464664

Given:

The graph of a function.

To find:

The domain on which of the following function is increasing.

Solution:

Domain is the set of x-values or input values.

From the given graph it is clear that the vertex of the given function is at (4,75).

Before the point (4,75) the graph is increasing and after the point (4,75) the graph is decreasing.

The function is defined for [tex]0\leq x\leq 9[/tex].

Since the graph is increasing when [tex]0\leq x\leq 4[/tex], therefore the function is increasing over the interval [0,4].

Therefore, the domain on which of the following function is increasing is [0,4].

After observing the x-axis points the domain of the function n whose curve is shown in the graph is [0, 9].

The domain of a curve on graph paper refers to the set of all x-values for which the curve is defined or exists.

It's the range of x-values that correspond to points on the curve.

So, the domain can be determined by looking at the x-axis and identifying the range of values that the curve.

In the given graph we can see that,

The curve lies between 0 to 9 on the x-axis.

Thus the fucntion is defined in the interval [0, 9]

Hence,

The domain of the given curve of a fucntion is [0, 9].

To learn more about graph of function visit:

https://brainly.com/question/12934295

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Answer:

three hundred divided by two

Answer:

i think 450

Step-by-step explanation:

Answer:

i think u should - 77 from 180 because triangle size is 180 , if so cheack if u have choices for the same aswer u got

Step-by-step explanation:

Answer:

infinitely many solutions

Step-by-step explanation:

Answer:

58.28 Sq in

Step-by-step explanation:

Area of the composite figure

=Area of trapezoid + Area of semicircle

[tex] = \frac{1}{2} (15 + 11) \times 4 +\frac{1}{2} \times 3.14\times 2^2 \\ \\ = 26 \times 2+6.28 \\ \\ = 52+6.28=58.28 \: {in}^{2} [/tex]

Answer:

102

Step-by-step explanation:

On quadrilateral ABCD it shows BC = 20 and CD = 30

20+30 = 50

on quadrilateral A'B'C'D'

it says B'A' = 22

and D'A' = 32

22+32 = 52

52+50 = 102

Answer:

55units

Step-by-step explanation:

Answer:

y=-5/2x+3

Step-by-step explanation:

Answer:

I think it is 15 sorry if this is wrong