[tex] \huge\fbox\green{QUESTION} [/tex]

[tex] \mathsf \blue{calculate \: the \: gradient}[/tex]

[tex] \huge\fbox\green{QUESTION} [/tex][tex] \mathsf \blue{calculate \: The \: Gradient}[/tex]

Answers

Answer 1

[tex] \huge \fbox \orange{♧Answer♧}[/tex]

[tex] \mathcal\blue{METHOD\:1} [/tex]

[tex] \mathsf \purple{ - ( \frac{y}{x} )}[/tex]

[tex] \mathsf \purple{ - ( \frac{ - 4}{5})} [/tex]

[tex] \mathsf \purple{( \frac{4}{5} )}[/tex]

[tex] \mathcal\blue{METHOD\:2} [/tex]

[tex] \mathsf\purple{m\:=\:(Y2\:-\:Y1)\:÷\:(X2\:-X1)} [/tex]

[tex] \mathsf\purple{m\:=\:(-4\:-0)\:÷\:(0\:-\:5)} [/tex]

[tex] \mathsf\purple{( \frac{4}{5})} [/tex]

[tex] \mathcal\blue{METHOD\:3} [/tex]

[tex] \mathsf\purple{m\:=\:rise\:÷\:run} [/tex]

[tex] \mathsf\purple{m\:=\:( \frac{4}{5})} [/tex]

[tex] \mathbb\pink{NOTE:} [/tex]

The difference between the y-coordinates of the two points is called the rise. The difference between the x-coordinates of the same two points is called the run. The slope can be calculated by dividing the rise by run.

Related Questions

Find the area of the regular polygon

Answers

Answer:

162m²

Step-by-step explanation:

distance from corner to center = 1/2 of the diagonal

all sides are equal, and this has 4 sides, so it is a square

9m = 1/2 of diagonal

multiply both sides by 2 to isolate the diagonal

18m = diagonal

area of square = length²

length * √2 = diagonal

given the diagonal, we can find the length and then the area

length * √2 = diagonal

divide both sides by √2 to find the length

18m/√2 = length ≈12.7

square the length to find the area

area = 162 m²

if f(x)=x^2+2x-10 what is f(-2)

Answers

Answer:

-2

Step-by-step explanation:

f(2)= 2^2 + 2(2) - 10

= 4+4-10

=8-10

= -2

The weekly salary of a security guard, $S, is based on the formula, S=B+8H where B is the basic wage in dollars, and H is the number of hours he is on duty per week.

(a) Given that the security guard received $710 for a total of 45 hours of work in a particular week, find the basic wage.

(b)
(i) Calculate the salary he received after working for 42 hours in one week.
(ii) At the end of another week, the security guard earned $662. Find the number of hours worked that week.​

[tex]\\[/tex]

ty! ~

Answers

Answer:

A. 350

B. (i) $686 (ii) 39 Hours

Step-by-step explanation:

Based on what's given..

A)

[tex]\sf S=B+8H[/tex]

[tex]\sf 710=B+8\times45[/tex]

[tex]\sf 710=B+360[/tex]

[tex]\sf B=710-360[/tex]

[tex]\boxed{\sf B= 350}[/tex]

B)

(i)

[tex]\sf S=350+8\times42[/tex]

[tex]\sf S=350+336[/tex]

[tex]\boxed{\sf S=686}[/tex]

(ii)

[tex]\sf 662=350+8H[/tex]

[tex]\sf 8H=662-350[/tex]

[tex]\sf H=312 \div 8[/tex]

[tex]\boxed{\sf H=39}[/tex]

Find the slope and the y-intercept of the linear function shown below

Answers

Answer:

You give no Problem or answers to choose from

Step-by-step explanation:

Sorry

[(-3)+9] × [(-10)-(-9)]
please solve this​

Answers

[(-3)+9] × [(-10)-(-9)]

6 × (-10 + 9)

6 × (-1)

= -6

find the measure of each arc.
a. JL
b. KM
c. JLM
d. JM

Answers

The measure of each arc.

a. JL =  132

b. KM =147

c. JLM = 200

d. JM =120

What is angle?

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint.

The measure of JL

=m JK+ m KL

= 53+79

= 132

The measure of KM

=m KL+ m LM

= 79+68

=147

The measure of JLM

= 53+68+79

= 200

The measure of JM

=360-200

=120

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The radius of a circle is 8 meters. What is the circle's area? Use 3.14 for ​.

Answers

Step-by-step explanation:

A = πr^2

When r=8m and π = 3.14,

A = 3.14*8*8=200.96sq.m

Answer:

[tex]\huge\boxed{\bf\:200.96\:m^{2}}[/tex]

Step-by-step explanation:

If,

Radius (r) = 8 mπ = 3.14

Area (A) of the circle = ?

A = πr²                    [tex]\dashrightarrow[/tex]  Formula

A = 3.14 × (8)²

A = 3.14 × 64

A = 200.96 m²

[tex]\rule{150pt}{2pt}[/tex]

HELP. HOW DO I SOLVE THIS?

Answers

The margin error is 2.82%.

What is Margin of Error?

A margin of error is a statistical measurement that accounts for the difference between actual and projected results in a random survey sample

The margin of error for a sample proportion is given by

[tex]z_{\alpha /2}\sqrt{ \frac{p(1-p)}{n} }[/tex]

where p is the sample proportion and n is the sample size.

Consider the  confidence level of 95%, then  [tex]z_{\alpha /2}[/tex] = 1.96

p = 53% = 0.53 and n =1200

Thus, Margin of error=

[tex]z_{\alpha /2}\sqrt{ \frac{p(1-p)}{n} }[/tex]

=1.96[tex]\sqrt{ \frac{0.53(1-0.53)}{1200} }[/tex]

=1.96*0.0144

=0.0282

= 2.82%

Hence, margin error is  2.82%.

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z^2 + 11z+ 28 find the factor of polynomial

Answers

Answer:

(z+7)*(z+4)

Step-by-step explanation:

The first term is,  z2  its coefficient is  1 .

The middle term is,  +11z  its coefficient is  11 .

The last term, "the constant", is  +28

Step-1 : Multiply the coefficient of the first term by the constant   1 • 28 = 28

Step-2 : Find two factors of  28  whose sum equals the coefficient of the middle term, which is   11 .

     -28    +    -1    =    -29

     -14    +    -2    =    -16

     -7    +    -4    =    -11

     -4    +    -7    =    -11

     -2    +    -14    =    -16

     -1    +    -28    =    -29

     1    +    28    =    29

     2    +    14    =    16

     4    +    7    =    11    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  4  and  7

                    z2 + 4z + 7z + 28

Step-4 : Add up the first 2 terms, pulling out like factors :

                   z • (z+4)

             Add up the last 2 terms, pulling out common factors :

                   7 • (z+4)

Step-5 : Add up the four terms of step 4 :

                   (z+7)  •  (z+4)

            Which is the desired factorization

(Look at photo)

54. Given that P is a positive number, N is a negative
number, and | P | > | N |, which of the following
expressions has the greatest value?

Answers

Answer: Choice G   [tex]\left| \frac{p-n}{n} \right|[/tex]

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

Explanation:

Pick a positive number for p, and a negative value for n. Make sure that p is further away from 0 than n is (so that [tex]|p| > |n|[/tex] is a true statement).

I'll go for these values

p = 5n = -2

Replace every copy of p with 5, and replace every copy of n with -2. Then evaluate or simplify. Use your calculator if needed.

Let's start with choice F.

[tex]F = \left| \frac{p-n}{p} \right|\\\\F = \left| \frac{5-(-2)}{5} \right|\\\\F = \left| \frac{5+2}{5} \right|\\\\F = \left| \frac{7}{5} \right|\\\\F = \left| 1.4 \right|\\\\F = 1.4\\\\[/tex]

Now onto choice G

[tex]G = \left| \frac{p-n}{n} \right|\\\\G = \left| \frac{5-(-2)}{-2} \right|\\\\G = \left| \frac{5+2}{-2} \right|\\\\G = \left| \frac{7}{-2} \right|\\\\G = \left| -3.5 \right|\\\\G = 3.5\\\\[/tex]

Next up is evaluating the expression for choice H.

[tex]H = \left| \frac{p+n}{p-n} \right|\\\\H = \left| \frac{5+(-2)}{5-(-2)} \right|\\\\H = \left| \frac{5-2}{5+2} \right|\\\\H = \left| \frac{3}{7} \right|\\\\H \approx \left| 0.4286\right|\\\\H \approx 0.4286\\\\[/tex]

Then let's compute expression J.

[tex]J = \left| \frac{p+n}{p} \right|\\\\J = \left| \frac{5+(-2)}{5} \right|\\\\J = \left| \frac{5-2}{5} \right|\\\\J = \left| \frac{3}{5} \right|\\\\J = \left| 0.6 \right|\\\\J = 0.6\\\\[/tex]

Lastly, compute expression K.

[tex]K = \left| \frac{p+n}{n} \right|\\\\K = \left| \frac{5+(-2)}{-2} \right|\\\\K = \left| \frac{5-2}{-2} \right|\\\\K = \left| \frac{3}{-2} \right|\\\\K = \left| -1.5 \right|\\\\K = 1.5\\\\[/tex]

-----------------------------------

To summarize, when plugging p = 5 and n = -2 into each expression, we got these results:

F = 1.4G = 3.5H = 0.4286 (approximate)J = 0.6K = 1.5

Expression G leads to the largest output.

Therefore, [tex]\left| \frac{p-n}{n} \right|[/tex] has the largest value when p > 0 and n < 0.

The expression |(p-n)/n| has the greatest value. Therefore, option G is the correct answer.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given that, p is a positive number, n is a negative number, and |p| > |n|.

Let us consider p=5 and n=-2

Now,

F) |(p-n)/p|

= |(5-(-2))/5|

= |7/5|

= 1.4

G) |(p-n)/n|

= |(5-(-2))/(-2)|

= |7/(-2)|

= 3.5

H) |(p+n)/(p-n)|

= |(5-2)/(5-(-2))|

= |3/7|

= 0.43

J) |(p+n)/p|

= |(5-2)/5|

= |3/5|

= 0.6

K) |(p+n)/n|

= |(5-2)/2|

= |3/2|

= 1.5

The expression |(p-n)/n| has the greatest value. Therefore, option G is the correct answer.

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13. How are squares and triangles the same? How are they different?​

Answers

Answer:

Squares and triangles are both polygons and right triangles and squares both have at least one right angle. They are different because squares have 4 sides and triangles have 3. Also, triangle have a total of 180 degrees while squares have a total of 360 degrees.

Hope this helped you! I would appreciate a Brainliest if this helped! Have a good day!

A pet store has three fish tanks, each holding a different volume of water and a different number of fish.
Tank A holds 40 L and 5 fish. Tank B holds 100 L and 12 fish. Tank C holds 180 L and 23 fish.
Order the tanks by volume per fish from least to greatest.
B A C

Answers

Answer:

Step-by-step explanation:

Remark

The general formula is

Volume per fish = volume of water / number of fish

Givens

40 L  and 5 fish

100 L and 12 fish

180 L and 23 fish

Solution

Tank A = 40 L / 5 fish = 8 L / fish

Tank B = 100 L /12 fish = 8.3 L / fish

Tank C = 180 L / 23 fish = 7.83L / fish

Answer

From Least to greatest = C A B

Andy is 6.25 miles north of the center of town. william is at the center of town. at noon they both start walking north.
andy walks at a constant rate of 7.5 miles in 3 hours. william walks at a constant rate of 15 miles in 4 hours.
how many hours does it take william to catch up with andy?

Answers

Answer: 5 hours

Step-by-step explanation:

[tex]speed=\frac{distance}{time}[/tex]

Andy speed = 7.5/3 = 2.5 mph

William speed = 15/4 = 3.75 mph

1. Write an equation that represents the question

let h = # of hours it takes William to catch up with andy

   2.5h + 6.25 = 3.75h

2. subtract 2.5h from both sides

   6.25 = 1.25h

3. Divide 1.25 from both sides

   [tex]\frac{1.25h}{1.25} =\frac{6.25}{1.25}[/tex]

   h = 5

Therefore, we know it will take 5 hours for William to catch up with andy.

If the area of a round cricket oval is 27500 square meters, Find the distance from the centre of the ground to the boundary.

Answers

The distance from the centre of the ground to the boundary based on the area given is 93.58 meters.

How to calculate the distance?

From the information given, the area of a round cricket oval is 27500 square meters. The information simply wants us to calculate the radius which will be calculated thus:

Area of a circle = πr²

πr² = 27500

(3.14) × r² = 27500

r² = 27500/3.14

r² = 8757.96

r = ✓8757.96

r = 93.58

Therefore, the distance from the centre of the ground to the boundary is 93.58 meters.

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year 9 students from a school were asked to choose one language to study the table shows information about their choices LANGUAGE French students=17 German students=35 Italian students=38 Students in math class 9s1 were told to draw a pie chart to illustrate the language work out all of the angles of each sector of the pie chart

Answers

Answer:

French 17

German 35

Italian 38

total 90

French = 17/90 ×360 =68°

German = 35/90 ×360= 140°

Italian 38/90 ×360= 152°

If superheroes were to fly 300 miles with one will get there first.

Superhero A: 4 miles in 4 minutes

Superhero B: 7 miles in 2 minutes

Superhero C: 2 miles in 2 minutes

Answers

Answer:

Superhero B

Step-by-step explanation:

7 miles in 2 minutes is much farther than 1 mile A minute

[tex]\sf How \; do \; you\; solve\; this?[/tex]
[tex]\bf 9\left(2x+1\right)=\:9x-18[/tex]

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Here we go :} [/tex]

[tex]\qquad \sf  \dashrightarrow \:9(2x + 1) = 9x - 18[/tex]

[tex]\qquad \sf  \dashrightarrow \:18x + 9 = 9x - 18[/tex]

[tex]\qquad \sf  \dashrightarrow \:18x - 9x = - 18 - 9[/tex]

[tex]\qquad \sf  \dashrightarrow \:9x = - 27[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = - 27 \div 9[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = - 3[/tex]

[tex] \textsf{Hence, value of x is -3} [/tex]

9(2x+1)=9x-18
•Apply the Distributive Property
18x+9=9x-18
•Rearrange variables the the left side of the equation
18x-9x=-18-9
•Combine like terms
9x=-18-9
•Calculate the sum or difference
9x=-27
•Divide both sides
x= -27/-9
•Cross out the common factor

x=-3

write down the first five terms of the following sequences. a) start at 26 and subract 3. b)start at -3 and add 10.

Answers

Answer:

26, 23, 20, 17, 14, 11
-3, 7, 17,27,37,47

Step-by-step explanation:

sequence add and subject

Which statement below is always true?

A. Two parallel lines intersect at a right angle.
B. Two parallel lines lie in the same plane.
C. Two lines that are skew to each other intersect at one point.
D. A transversal never intersects another line.

Answers

Answer:

The answer is B. Two parallel lines lie in the same plane.

Step-by-step explanation:

Parallel lines never cut (intersect) or meet each other, and they lie on the same plane.

The answer is Choice B

Step-by-step explanation:

Parallel lines never intersect

Lines that are skew don't have to intersect

Transversal lines intersect other lines

HELP ME OMG PLEASEEEEEEEEEEEEE

Answers

Volume of rectangular pyramid:

[tex]v = \frac{lwh}{3} [/tex]

[tex]v = \frac{12 \times 10 \times 3}{3} [/tex]

[tex]v = 120 \: {ft}^{3} [/tex]

Volume of the rectangular prism:

[tex]v = lwh[/tex]

[tex]v = 12 \times 10 \times 7[/tex]

[tex]v = 840 \: {ft}^{3} [/tex]

Total volume:

[tex]v = 120 + 840[/tex]

[tex]v = 960 \: {ft}^{3} [/tex]

pyramid:

lwh/2

=12×10×3/3

=120 ft^3

prism:

whl

=12×10×7

=840 ft^3

all together:

=960 ft^3

3/4(x+2)=x-2 . solve for x​

Answers

3/4(x+2) = x-2

the answer is
x=2


NEED HELP PLEASE

I can’t figure this question out. Hopefully you could help!

Answers

Answer:

see image

Step-by-step explanation:

If 21 people study French and everyone studies some language, then the other 4 people must be Spanish only students. 25 - 21 =4

Since 13 people study Spanish,

13-4=9

9 people must study both Fr and Sp.

If 9 people study BOTH, then

21-9=12,

12 people must be the Fr only people.

The arch-looking, upsidedownU is intersect.

Fr intersect Sp are the StudyBOTH people.

P(Both) = Both/Total

= 9/25

If you need %, divide 9÷25 and times by 100. That's 36%

F' means Not French people, which is Spanish only people (thankfully there are no No-Language-studiers bc they would count too)

P(F')

= P (not Fr)

= P (Sp Only)

= 4/25 = 16%

PLEASE HELP !!!!!!!!!

Answers

Answer:

17,17,17,0.6 805-774-0842 38.05-1.06.52-2.06 1.46-2.56l8.5-4.5c1.34 98.0.4758.101

Step-by-step explanation:

thanks For Answering For My Subscribe

The golf club can send a team of four students
to the next golf tournament. If there are 18
Students in the club, How many different teams
Of 6 can be selected?

Answers

Answer:

18,564

Step-by-step explanation:

The formula is n! / (r!(n-r)!

n is the total number of people and r is the number of people to be picked

n = 18, r = 6

18! / (6!(18-6)!)

18! / (6!*12!)

Total combinations = 18,564

Answer:

3

Step-by-step explanation:

18 ÷ 6 = 3

check and make sure the answer is right so you do the opposite

3 × 6 = 18

Which multiplication expression does the model show?

Answers

1/2 x 1/8
Explanation is that the bar is not fully full so it should be reasonable

15 1/2 times 2 1/8 ??

Answers

Answer:

[tex]32 \times \frac{15}{16} [/tex]

Step-by-step explanation:

15 1/2 times 2 1/8 ??

[tex](15 \times \frac{1}{2} ) \times( 2 \times \frac{1}{8} )[/tex]

15 ×2 =30 +1 =31/2

2×8=16+1=17/8

[tex] \frac{31}{2} \times \frac{17}{8} [/tex]

[tex] \frac{527}{2 \times 8} [/tex]

527/16

[tex]32 \frac{15}{16} [/tex]

Write a function rule for “The output is three less than the input x.”

Answers

Answer:

y=x-3

Step-by-step explanation:

If the interest on Rs. 100 be Rs. 6.25p. what is the interest on Rs. 320?​

Answers

6.25 / 100 = 0.0625 ( interest rate)

320 x 0.0625 = 20


answer: 20

I need help finding the unknown measures and equations pls.

Answers

Answer:

Step-by-step explanation:

10x + 8x = 180 (angles on straight line)

x = 10

AFH = 10x = 100

AFE = 8x = 80

A triangle has sides with lengths of 9 centimeters, 12 centimeters, and 15 centimeters. Is it a right triangle?

Answers

Answer:

yes, it is a right triangle.

Step-by-step explanation:

trust

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