Find the slope of the line that passes through (23, -30) and (-7, 18).

Answers

Answer 1

Answer:

slope = - [tex]\frac{8}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (23, - 30) and (x₂, y₂ ) = (- 7, 18)

m = [tex]\frac{18-(-30)}{-7-23}[/tex] = [tex]\frac{18+30}{-30}[/tex] = [tex]\frac{48}{-30}[/tex] = - [tex]\frac{8}{5}[/tex]


Related Questions

james cuts his 2 of his neighbor's lawn the first is 1000 m long and 100 m wide what is the area

Answers

Answer:

100,000m^2

Step-by-step explanation:

The area formula is length multiplied by width:

A=l x w

Substitute in the values for length and width

A= 1000 x 100

Solve for A

A= 100,000m^2

Answer: 100,000 m² or 1 × 10⁵ m²

Step-by-step explanation:

Concept:

Here, we need to know how to calculate the area of a rectangle.

Area = w · l

w = width

l = length

Solve:

Width = 100 m

Length = 1000 m

Area = w · l

Area = (100) (1000)

Area = 100,000 m²

Hope this helps!! :)

Please let me know if you have any questions

ABC is a right-angled triangle. Angle B = 90. Angle A = 36. AB = 8.7 cm. Work out the length of BC. Give your answer correct to 3 significant figures.

Answers

Answer: About 6.321 cm

Step-by-step explanation:

[tex]tan(x)=\frac{opposite}{adjacent}[/tex]

[tex]tan(36)=\frac{x}{8.7} \\\\x=8.7*tan(36)=6.3209...[/tex]

see ss below
please show all work ​

Answers

Answer:

x = 117km

Step-by-step explanation:

a1 = 18 km

q = 90% = 90/100 = 0.9


a2 = a1 • q = 18 • 0.9 = 81/5 = 16.2 km

a3 = a2 • q = 16.2 • 0.9 = 729/50 = 14.58 km

n = 10

x = a1 • q^n - 1/q - 1 = 18 • 0.9^10 - 1/0.9 - 1 = 117km



Answer:

Solution given:

since Rosie walked 18 km INA first day.

so

first term[a]=18km

again

she walked 90% of what she walked the day before which means

common ratio decreasing

common ratio[r]90%=0.9

sum of 10th day[tex]S_{10}[/tex]=?

no of term (n)=10

now

we have

[tex]Sum_{10}=\frac{a(r^{n}-1)}{r-1}[/tex]

substituting value:

=[tex]\frac{18(0.9^{10}-1)}{0.9-1}[/tex]

=117.28km

in nearest 10 it is 117km

the total distance Rosie had travelled by the end of 10 days is 117km.

Helpppp pleaseeee !!!!!!

Answers

Answer:

149 inches squared

Step-by-step explanation:

top rectangle: 25 * 7 = 175

second rectangle: 8 * (25 - 17) = 8^2 = 64

triangle in bottom right: 1/2 * (13 - 8) * (15 - 11) = 10

175 + 64 + 10 = 149 sq in

hopefully got this right!

I neeeddddd helppppp it’s urgenttttttt!!!!!!!!

Answers

Answer:

x=7

Step-by-step explanation:

The sum of the arc of a circle is 360 degrees

85+5x+5+10x+5+-7+6x+6+17x = 360

Combine like terms

38x+94=360

Subtract 94 from each side

38x+94-94 = 360-94

38x = 266

Divide each side by 38

38x/28 = 266/38

x = 7

The answer to this question is x=7

Consider this equation. tan) 19 17 If 8 is an angle in quadrant II, what is the value of Cos() OA. 19 6 OB. 17 6 O c. V18 6 OD. 17​

Answers

Using trigonometric identities, it is found that the value of [tex]\cos{\theta}[/tex] is given by:

B. [tex]\cos{\theta} = \frac{\sqrt{17}}{6}[/tex]

What is the tangent of an angle?

It is given by the division of it's sine by it's cosine, that is:

[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]

In this problem, the equation given is:

[tex]\tan{\theta} = -\sqrt{\frac{19}{17}}[/tex]

That is:

[tex]\frac{\sin{\theta}}{\cos{\theta}} = -\sqrt{\frac{19}{17}}[/tex]

[tex]\sin{\theta} = -\sqrt{\frac{19}{17}}\cos{\theta}[/tex]

The following identity is applied:

[tex]\sin^2{\theta} + \cos^2{\theta} = 1[/tex]

Then:

[tex]\left(-\sqrt{\frac{19}{17}}\cos{\theta}\right)^2 + \cos^2{\theta} = 1[/tex]

[tex]\frac{36}{17}\cos^2{\theta} = 1[/tex]

[tex]\cos^2{\theta} = \frac{17}{36}[/tex]

[tex]\cos{\theta} = \frac{\sqrt{17}}{6}[/tex]

More can be learned about trigonometric identities at https://brainly.com/question/24496175

Answer:

Hi sorry I just wanted to ask is it B or D? positive or negative?

Step-by-step explanation:

edmentum is the worst

The slopes of two lines. Determine the value of ‘a’ that will make the lines
parallel
and perpendicular

Answers

i think a is 12 sorry if it's wrong

find the equation of the line passing through (-4,1) and perpendicular to the line y=x/4+2​

Answers

Answer:

y = -4x

Step-by-step explanation:

First, for an equation of form y=mx+b, m represents the slope. Therefore, for y=x/4+2 = (1/4)*x + 2, 1/4 is the slope. For perpendicular lines, the negative reciprocal of the slope is the slope of the line perpendicular to it. Therefore, the slope of our line is the negative reciprocal of 1/4.

To find the reciprocal of something, we can just divide 1 by it (another way to do this would be to flip the numerator and denominator, so 1/4 turns into 4/1). Therefore, 1/(1/4) = (1/1)/(1/4) = (1/1) * (4/1) = 4. The negative reciprocal is thus -4.

Our equation is therefore of form y = (-4) x + b. To solve for b, we can plug in the point given and solve for b in our equation. We have

-4 = (-4) * 1 + b

-4 = -4 + b

add 4 to both sides to isolate the b

0 = b

Therefore, our equation is

y= (-4)x + 0

y = -4x

yes jcuctxujensh ysywhxnchuencjcjd

The base of a triangular prism has an area of 35 m2. This triangular prism has a height of 7 m. What is the volume of this triangular prism? ​

Answers

Answer:

The volume is 245 m^2

Step-by-step explanation:

the volume formula is aways base time height, or V = bh

so plot the number in, 35 x 7 = 245

x(x - 2) = 4 please help

Answers

Answer:

[tex]x = 1 + \sqrt{5} x = 1 - \sqrt{5} [/tex]

Find the y-intercept of the following equation. Simplify your answer.
y = -10x -3/7

Answers

Answer: (0, -3/7)

Step-by-step explanation:

The Y-intercept would be the value of y when x is at 0, which is when the Y axis is intercepted. -3/7 is the starting position of the function when the the X = 0.

Find the area of a regular pentagon
with a side length of 10 cm. Round to
the nearest tenth.
10 cm
[? ] cm2

Answers

Step-by-step explanation:

here~~~~~~~~~~~~~~~~~~~~~~~

porfavor ayudenme con esta radicacion no la entiendo√81 ∙ 49

Answers

Answer:

441

Step-by-step explanation:

sqrt81=9

9 x 49=441

Answer:

441

Step-by-step explanation:

√ 9 ^2  ⋅  49

9  ⋅  49 = 441

is (the number in the photo) rational or irrational?

Answers

Answer:

irrational

Step-by-step explanation:

Instructions: Find the measure of the indicated angle to the nearest
degree.
19
?
8
=

Answers

Answer:

? ≈ 65°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos? = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{8}{19}[/tex] , then

? = [tex]cos^{-1}[/tex] ([tex]\frac{8}{19}[/tex] ) ≈ 65° ( to the nearest degree )

A group of students is arranging squares into layers to create a project. The first layer has 5 squares. The second layer has 10 squares. Which formula represents an arithmetic explicit formula to determine the number of squares in each layer ?

Answers

Answer: Its B i just took the test

Step-by-step explanation:

HURRY PLEASE!
Evaluate –5u for u = –4.

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{-5u}[/tex]

[tex]\huge\textsf{= -5(-4)}[/tex]

[tex]\huge\textsf{= 5(4)}[/tex]

[tex]\huge\textsf{= 20}[/tex]

[tex]\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{20}}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Find the angle between the hands of a clock at 5:15

Answers

Answer:

67.5

Step-by-step explanation:

Answer:

the hour hand and minute hand on a 12-hour clock at 5:15. Again, the two angles created by the hour hand and minute hand at five-fifteen are 292.5 degrees and 67.5 degrees.

Step-by-step explanation:

what is bigger 35% or 2/5

Answers

Answer:

35% = .35

2/5 = 4/10 = .4

.4 >.35

Step-by-step explanation:

What are the solutions to the system of equations?

{y=x²−4x+8
y=2x+3

Answers

Answer:

x = 1, y = 5

x = 5, y = 13

Step-by-step explanation:

y = x² − 4x + 8 .......(1)

y = 2x + 3 .......(2)

Substitute the value of y in equation 2 into equation 1

y = x² − 4x + 8

y = 2x + 3

x² − 4x + 8 = 2x + 3

Rearrange

x² − 4x − 2x + 8 − 3 = 0

x² − 6x + 5 = 0

Solve by factorization

Find the product you x² and 5. The result is 5x²

Find the factors of 5x² such that their sum will result in −6x. The factors are −x and −5x.

Replace −6x in the equation above with −x and −5x. This is illustrated below:

x² − x − 5x + 5 = 0

x(x − 1) − 5(x − 1) = 0

(x − 1)(x − 5) = 0

x − 1 = 0 or x − 5 = 0

x = 1 or x = 5

Substitute the value of x into equation 2 to obtain the value of y.

y = 2x + 3

x = 1

y = 2(1) + 3

y = 2 + 3

y = 5

x = 5

y = 2x + 3

y = 2(5) + 3

y = 10 + 3

y = 13

SUMMARY:

x = 1, y = 5

x = 5, y = 13

URGENT PLS HELP<3 Each person needs to rent a helmet for $5. Write the expression for the total cost for the helmets.

Answers

Answer:

5n

Step-by-step explanation:

cost of one helmet = $5

let 'n' be the number of person that is n=1,2,3,4........

note that the value of n is always a natural number

therefore the expression = 5n

where 5 is the cost one helmet

n is the number of persons

5n is the answer. N is the number. Hope this helps

Given HM = 24 and mHK = 66 , find x and y​

Answers

Answer:

x=24,y=33

hopefully this answer can help you to answer the next question

Find the distance between K(9, 2) and L(-3, 9) to the nearest tenth

Answers

Answer:

≈ 13.9

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = K(9, 2) and (x₂, y₂ ) = L(- 3, 9)

d = [tex]\sqrt{(-3-9)^2+(9-2)^2}[/tex]

   = [tex]\sqrt{(-12)^2+7^2}[/tex]

   = [tex]\sqrt{144+49}[/tex]

   = [tex]\sqrt{193}[/tex]

   ≈ 13.9 ( to the nearest tenth )

Answer:

d=√(193)

Step-by-step explanation:

d=√((x_2-x_1)²+(y_2-y_1)²)

Points: (9, 2) & (-3, 9)

d=√((-3 - 9)²+(9 - 2)²)

d=√((-12)²+(7)²)

d=√(144)+(49)

d=√(193)

Solve the following given problem

Answers

Answer:

The radius is 3.5cm

Step-by-step explanation:

Given

[tex]V = 192.5cm^3[/tex]

[tex]h = 5cm[/tex]

Required

The volume (V)

The volume of the vase is:

[tex]V = \pi r^2h[/tex]

So, we have:

[tex]192.5 = 22/7 * r^2 * 5[/tex]

Divide by 5

[tex]38.5 = 22/7 * r^2[/tex]

Multiply by 7/22

[tex]12.25= r^2[/tex]

Take positive square roots

[tex]r = 3.5[/tex]

{24a - 18b} =24a−18b I neeed help

Answers

0

(24a - 18b) = 24a - 18b

24a - 18b = 24a - 18b

collect like terms

24a - 24a = -18b + 18b

0 = 0

What is the area
Help quick pls

Answers

Answer:

22 cm

Step-by-step explanation:

just add

Answer:

50 +  [tex]5\sqrt{6}[/tex] =

62.24744871

Step-by-step explanation:

10* 5 = 50

triangle 5^2 + x^2 = 7^2

x = [tex]\sqrt{24 }[/tex]

area triangle = 1/2 * [tex]\sqrt{24 }[/tex] *5

[tex]\sqrt{24} = 2\sqrt{6}[/tex]

area triangle =  [tex]5\sqrt{6}[/tex]

Stacy spent £12 on ingredients for bread.
She made 18 loaves and sold them for £1.10 each.
Calculate her percentage profit.

Answers

Answer:

39.4 or 40 % depending on which place you round it to

Step-by-step explanation:

18 * 1.10= 19.8      

(19.8  - 12) / 19.8 = 0.39393939...

so 39.4 or 40 % depending on which place you round it to

Question 5 of 41
Which of the following best describes the volume of a solid?
A. It is the sum of the base area plus the lateral area of the solid.
B. It is the amount of three-dimensional space inside the solid.
C. It is the distance around the base of the figure.
D. It is the total area of the exterior surface of the solid.
SUBMIT

Answers

It is the amount of three-dimensional space inside the solid

B. It is the amount of three-dimensional space inside the solid.

What is volume?

Volume, measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.

The volume of a solid is the measure of the amount of three-dimensional space that is occupied by the solid.

It is a measure of the physical space that the solid occupies in three-dimensional space. It is different from the surface area or perimeter of a solid which measure the amount of space that is taken up by the solid in two dimensions.

In summary, the volume of a solid refers to the amount of three-dimensional space that is enclosed by the solid, and it is an important measurement in many fields including engineering, architecture, and physics.

Learn more about Volume here:

https://brainly.com/question/1578538

#SPJ7

Write an equation
in slope y-intercept form A(2,6),m=0

Answers

Solve for b:

y = 0x + b

6 = 0 + b

b = 6

The answer is y = 0x + 6

There are 135 people in a sport centre. 73 people use the gym. 59 people use the swimming pool. 31 people use the track. 19 people use the gym and the pool. 9 people use the pool and the track. 16 people use the gym and the track. 4 people use all three facilities. How many people didn't use any facilities?​

Answers

Answer:

24 people

Step-by-step explanation:

((The numbers are up there, so I am not going to define each variable.))

For starters, there is no overlap between the double facilities groups, except the triple facility users, so:

19 + 9 + 16 - 4 = 40 people

Since there is overlap between single and double groups, you will need to subtract, so:

Gym: 73 - 19 - 16 = 38

Pool: 59 - 19 - 9 = 31

Track: 31 - 9 - 16 = 6

Total for 1 facility: 38 + 31 + 6 - 4 = 71 people

((Minus 4 because the 4 triple facility users overlap the double facility users (problem is in layers: layer 1 minus layer 2, then minus layer 3).))

Next, add the totals:

71 + 40 = 111 people (using facilities)

135 - 111 = 24 people (who didn't use any)

(((I'm not 100% sure on this answer, so if someone could check my work, that would be much appreciated.)))

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