The slope formula can be used to find the slope, m, of a line with points (L1, y1) and (22, 42).
Y2 - Yi
22 - 21
m
Which is an equivalent equation?
O Y1 = -m (22 – x1) + y2
yı = -m (x2 – 21) – Y2
Oyı = m (22 – 21) + y2
Oyı = m (22 – 21) – Y2

The Slope Formula Can Be Used To Find The Slope, M, Of A Line With Points (L1, Y1) And (22, 42).Y2 -

Answers

Answer 1

Answer:

A. [tex] y_1 = -m(x_2 - x_1) + y_2 [/tex]

Step-by-step explanation:

Given, slope formula = [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

To find an equivalent equation, let's make [tex] y_1 [/tex] the subject of the formula.

[tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Cross multiply

[tex] 1(y_2 - y_1) = m(x_2 -x_1) [/tex]

[tex] y_2 - y_1 = m(x_2 - x_1) [/tex]

Subtract [tex] y_2 [/tex] from both sides

[tex] y_2 - y_1 - y_2 = m(x_2 -x_1) - y_2 [/tex]

[tex] - y_1 = m(x_2 - x_1) - y_2 [/tex]

Divide both sides by -1

[tex] \frac{- y_1}{-1} = \frac{m(x_2 -x_1) - y_2}{-1} [/tex]

[tex] y_1 = -m(x_2 - x_1) + y_2 [/tex]


Related Questions

16/19 as a decimal rounded to the nearest tenth

Answers

Answer:

0.8

Step-by-step explanation:

that's the decimal.

Answer:

0.8

Step-by-step explanation:

A soccer field is 100 meters long. What could be its length in yards? 33.3 91 100 109 Explain your thinking.

Answers

109 yards
bc it is trust meh

Which percentage is the same as 3.21

Answers

Answer:

321%

Step-by-step explanation:

hope I helped Kkkkkkkk

Donald bought a box of golf balls for $9.31. There were 18 golf balls in the box.

About how much did each golf ball cost? Rename the decimal dividend as a whole number that is compatible with the divisor to estimate the quotient.

Answers

Step-by-step explanation:

Cost of each golf ball = $9.31 / 18

≈ $9 / 18 = $0.5.

Answer: 0.5172222222222222

Step-by-step explanation: divide 18 by 9.31

The hypotenuse of a right triangle is 25 cm, and the shorter leg is 15 cm. Find the length of the other leg.
a.12 √5 cm
b.✓ 10 cm
c.20 cm

Answers

Use the Pythagorean theorem

a^2 + b^2 = c^2

a^2 + 15^2 = 25^2

a^2 + 225 = 625

a^2 = 400

a = 20

Answer: 20 cm

Hope this helps!!

/////////////////////////////////////////////////////////////////////////////////////////////////////////////

make x the subject. 4x-5=t(x+m)

Answers

Answer:

x= tm+5/4-t

Step-by-step explanation:

4x-5=t(x+5)

4x-5-=tx+tm   distributive

4x-5-tx=tm    substract tx from both sides

4x-tx=tm+5   add 5 to both sides

x * 4+ x(-t) =tm+5  factor x out 4x-tx

x(4-t)=tm+5   factor x out x*4 + x(-t)

x(4-t)/4-t= tm/4-t+ 5/4-t   divide each term in 4-t

x= tm/4-t + 5/4-t combine the numerators over the common denominator

x=tm+5/4-t

the main sailboat has the dimensions shown in figure at the right . what is the height of the main sail? Then round to the nearest tenth as needed .)​

Answers

Answer: h = 14.5 ft

Step-by-step explanation: Since it is given angles and side and it wants a side, let's use Law of Sines, which is formulated as

                                           [tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]

i.e., the ratio of a side and the sin of its opposite angle is constant.

So, for this triangle, height is

[tex]\frac{sin46}{h} =\frac{sin44}{14}[/tex]

[tex]h=\frac{14sin46}{sin44}[/tex]

[tex]h=\frac{10.07}{0.69}[/tex]

h = 14.51

Height of the main sail rounded to the nearest tenth is 14.5 ft.



Japanese students go to school about 66% of the
days of the year. About how many school days do Japanese students
have in a 365-day year?

Answers

Answer:

240.9 (241)

Step-by-step explanation:

66% of 365 is 240.9, which can be simplified to 241 days of 365.

the answer is 240.9 hope this helps

Using the sum of the angle measures of a triangle, m angleC=?

Answers

Answer:

m∠C = 66°

Step-by-step explanation:

Given

m∠ A = 33°

m∠ B = 81°

To determine

m∠C = ?

We know that sum of angles of a triangle is 180°.

so using the equation

m∠ A + m∠ B +  m∠C = 180°

substituting m∠ A = 33°, and m∠ B = 81° in the equatio

33° + 81°+m∠C= 180°

114° + m∠C = 180°

m∠C = 180° - 114°

m∠C = 66°

Therefore,

m∠C = 66°

Please help it’s urgent !!

Answers

Answer:

2 is the correct answer you know it also

Solve the following system of equations:
y=2x + 1
y = -x+4

x= ?
y=?​

Answers

Answer:

x= 1, y=3

Step-by-step explanation:

y= 2x +1

y= -x +4

Those two equation are in a system that means they need to be true in the same time. Just like I would say look for a car that is red and is a truck in this case we look for x and y is true that y = 2x+1 and is true that y= =x+4.

so y= 2x+1 but y is -x+4 so substitute

-x+4 = 2x +1,  add x on both sides

4= 2x+x +1, subtract 1 from both sides

4-1 = 2x +x, combine like terms

3 = 3x , divide both sides by 3

x=1

if x=1 we substitute in y= -1 +4 = 3

please help me with this​

Answers

Answer:

its A :)

Step-by-step explanation:

awnser photo quick please #8

Answers

68 is the answer
Xudjdjsifbdkzjzhdndjd yup

Evaluate the expression if p = 1, r= -7, and s = -2.
-3p-2r
6+4s
PLEASE HURRY!!! THANK YOU

Answers

Answer:

-5 1/2

The first one is right.

Step-by-step explanation:

k12 right ?

The solution of the given expression if p = 1, r= -7, and s = -2 will be; -5 and 1/2

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

WE have been given an expression as

-3p-2r / 6+4s

We have to substitute the value p = 1, r= -7, and s = -2 to find the solution.

Plug the values;

-3p-2r / 6+4s

-3 (1) -2 (-7) / 6+4(-2)

-3 + 14 / 6 - 8

11 / -2

Hence, the solution of the given expression if p = 1, r= -7, and s = -2 will be; -5 and 1/2

To know more about an expression follow;

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what is the area of xyz​

Answers

The area of xyz I s 279.

please help me !!!!

Flying against the wind , an airplane travels 3660 kilometers in 6 hours. flying with the wind , the same plane travels 3800 kilometers in 4 hours. what is the rate of the plane in still air and what is the rate of the wind?​

Answers

Answer:

...

against the wind, an airplane travels 3640 km in 7 hours.

with the wind, the same plane travels 6000 km in 6hrs.

...

let speed of plane in still air be x mph

speed of wind be y mph.

..

t=d/r

..

against wind speed = x-y mph

with wond speed = x=y mph

...

3640/(x-y)=7

3640 = 7x-7y

/7

520=x-y.....................1

...

6000/x+y = 6

6000 = 6x+6y

/6

1000=x+y.....................2

...

Add (1) & (2)

2x=1520

/2

x=760 mph speed of plane in still air

...

plug value of x in 2

1000=760+y

100-760=y

240 = y

240 mph speed of wind

i bet nobody will anser this =P. Solve 52.425 divided by 0.5

Answers

Answer:

104.85

Step-by-step explanation:

c:

Answer:

104.85

Step-by-step explanation:

52.425/0.5=104.85

need answer fast!

Find the product of ( 2x^2 − 4x + 3 ) ( 3x + 6 ) using the box method shown below. What will the monomial be in the box marked with a B?

Select one:
a. - 12x 2
b. - x 2
c. - x
d. - 12x

Answers

Answer:

[tex]-12x^2[/tex]

Step-by-step explanation:

Think of the box method as completing a chart or a multiplication table.

We can see that box B is in the second column of the first row. The second column is labeled by -4x. The first row is labeled by 3x. So, in order to fill out box B, you have to multiply -4x and 3x together.

To do so, multiply the terms' coefficients (the numbers in front of the variable). -4 times 3 makes -12. Then, multiply the variables - just keep the variable and add their exponents. x and x both have exponents of one, which makes [tex]x^1^+^1[/tex], resulting in [tex]x^2[/tex]. Put them together and the answer would be [tex]-12x^2[/tex].

What is (a^2-b^2) factored out?

Answers

Answer:

(a+b)(a-b)

Step-by-step explanation:

because (a+b)(a-b):

If you use FOIL it will work backwards

The value of computer decreases with its age until it is worth nothing a computer that was purchases new for 0 years is worth 2220 1540 after 6 years problem whats the value after 8 years and what is the linear function V(x)

Answers

Answer:

[tex]V(x) = -\frac{340}{3}x +2220[/tex]

[tex]V(8) = 1313.3[/tex]

Step-by-step explanation:

Given

Let x represent years and V represents the value.

So, we have:

[tex](x_1,v_1) = (0,2220)[/tex]

[tex](x_2,v_2) = (6,1540)[/tex]

Solving (a): The linear function

First, we calculate the slope (m)

[tex]m = \frac{v_2 - v_1}{x_2 - x_1}[/tex]

This gives:

[tex]m = \frac{1540-2220}{6-0}[/tex]

[tex]m = \frac{-680}{6}[/tex]

[tex]m = -\frac{340}{3}[/tex]

The linear function is calculated using:

[tex]v - v_2 = m(x - x_2)[/tex]

Where:

[tex](x_2,v_2) = (6,1540)[/tex]

[tex]m = -\frac{340}{3}[/tex]

So, we have:

[tex]v - 1540 = -\frac{340}{3}(x - 6)[/tex]

Open bracket

[tex]v - 1540 = -\frac{340}{3}x +\frac{340}{3}* 6[/tex]

[tex]v - 1540 = -\frac{340}{3}x +680[/tex]

Make v the subject

[tex]v = -\frac{340}{3}x +680+1540[/tex]

[tex]v = -\frac{340}{3}x +2220[/tex]

So, the function is:

[tex]V(x) = -\frac{340}{3}x +2220[/tex]

Solving (b): When x = 8

Substitute 8 for x in [tex]V(x) = -\frac{340}{3}x +2220[/tex]

[tex]V(8) = -\frac{340}{3}*8 +2220[/tex]

[tex]V(8) = -\frac{340*8}{3} +2220[/tex]

[tex]V(8) = -\frac{2720}{3} +2220[/tex]

Take LCM

[tex]V(8) = \frac{-2720+2220*3}{3}[/tex]

[tex]V(8) = \frac{-2720+6660}{3}[/tex]

[tex]V(8) = \frac{3940}{3}[/tex]

[tex]V(8) = 1313.3[/tex]

Hence, its value after 8 years is 1313.3

hiii please help! i’ll give brainliest if you give a correct answer tysm!

Answers

Answer: 3/16

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

pls help and SHOW WORKINGS
It due ASAP

Answers

Answer:

Any real number strictly larger than 9 and strictly less than 21.

Step-by-step explanation:

By triangle inequality, the sum of the lengths of any two sides are greater than the length of the third side.

We therefore could set up three inequalities.

x+6>15, x+15>6, 15+6>x

Solving these, we get x>9, x>-9, x<21 i.e. 9 < x < 21.

Select the Number line that shows two opposite numbers Have a sum of 0.

Answers

Answer:

B.

Step-by-step explanation:

Using the lines they start and end on,

-1 plus 1 equals 0

Therefore, B. will be your answer!

Sorry this is very blunt, lol

Answer:

therefore B us ur answer

what is the square root of 1225,1764,11025 ​

Answers

35, 42, 105 respectively

Answer:

32, 42, 105

Step-by-step explanation:

(32)^2 = 32×32

= 1225

(42)^2 = 42×42

= 1764

(105)^2 = 105×105

=11025

Jacob is standing on the observation deck of the Sears Tower in Chicago. The height of the

observation deck is 1450 feet. He sees his car being towed, which is parked on the street 5,128

feet from the base of the tower. Find the angle of depression. Round to the nearest tenth.

Answers

9514 1404 393

Answer:

  15.8°

Step-by-step explanation:

The relationship between angle trig functions and sides of a right triangle is summarized in the mnemonic SOH CAH TOA. Here, we're given the side opposite the angle (the height of the deck), and the side adjacent to the angle (the horizontal distance). So, the applicable relation is ...

  Tan = Opposite/Adjacent

  tan(angle) = 1450/5128

Then the angle is found using the inverse tangent function:

  angle = arctan(1450/5128) ≈ 15.8°

The angle of depression is about 15.8°.

A ball dropped from the roof of a 120 foot high building took 4 seconds to reach the ground. What was the average speed of the ball during its fall?

A
480 feet per second
B
124 feet per second
C
30 feet per second
D
130 feet per second

Answers

Answer:

answer is C

average speed=distance÷time=120÷4=30

Matt read 65 pages in 50 minutes. He reads at a constant rate.

How many pages can Matt read per minute?

Answers

Answer:

78

Step-by-step explanation:

Can you give me brainliest please

Answer:

Give somuchcringe321 brainliest

Step-by-step explanation:

I'll give you brainlist if u help :)A certain culture of yeast increases by 50% every three hours. A scientist places 9 grams of the yeast on a culture dish. write the explicit and recursive formulas for the geometric sequences formed by the growth of the yeast.

Answers

Answer:

pleasee reply me ...

you looking very gorgeous...

also h*t and s**y ..

Answer:

plz mark me as a brainelist

hope it helps you

A museum recorded that it had 988 visitors in 4 hours. What is the unit rate in visitors per hour?
A.). 222
B.) 247
C.). 249
D.). 262

Answers

It could b a or c depend on what grade you are in
The answer is B, if you put it as a fraction, how do you get from 4 to 1? Divided by 4 right? So if you divide 988 by 4, you will get 247 visitors per hour :)

What is the radius of a sphere with a volume of 3026 cm ^3, to the nearest tenth of a centimeter?

Answers

Answer:

[tex]r=9.0\:\mathrm{cm}[/tex]

Step-by-step explanation:

The volume of a sphere is given as [tex]\frac{4}{3}r^3\pi[/tex]. Therefore we have the following equation:

[tex]\frac{4}{3}r^3\pi=3026,\\r^3=\frac{3}{4}\cdot\frac{3026}{\pi},\\r^3=722.40428,\\r=\sqrt[3]{722.40428},\\r\approx \fbox{$9.0\:\mathrm{cm}$}[/tex].

Rounding this to the nearest tenth of a centimeter, the radius of the sphere is approximately 14.0 cm.

What is volume?

Volume refers to the amount of space occupied by an object or substance. In mathematics, it is usually measured in cubic units (e.g. cubic meters, cubic centimeters).

The volume of an object can be calculated using its dimensions and specific formulas that depend on the shape of the object.

For example, the volume of a cube is calculated by multiplying its length, width, and height, while the volume of a sphere is calculated using the formula [tex](4/3)\pi r^3[/tex], where r is the radius of the sphere.

The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere and π (pi) is a mathematical constant approximately equal to 3.14159.

We can rearrange this formula to solve for r:

r = [tex](3V/4\pi)^{(1/3)[/tex]

Substituting the given volume V = 3026 [tex]cm^3[/tex], we get:

r = [tex](3(3026)/(4\pi))^{(1/3)[/tex] ≈ 14.0 cm

Thus, the radius of the sphere is approximately 14.0 cm, rounded to the nearest tenth of a centimetre.

For more details regarding volume, visit:

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