The coordinates of p and q are p(3,5) and q (7,1). Find the gradient of pq

Answers

Answer 1

Hi there!

[tex]\large\boxed{\text{Gradient = -1}}[/tex]

We can find the slope using the slope formula:

Slope = (y2-y1)/(x2-x1)

Plug in the given coordinates:

Slope = (1 - 5)/(7 - 3)

Simplify:

Slope = -4/4

Slope = -1


Related Questions

State the mathematical properties of all the steps in the equation below.

(2x + 3) − 7 = 8 + x Problem Statement.
(2x + 3) + (−7) = 8 + x _____________
((2x + 3) + (−7)) + 7 = (8 + x) + 7_____________
(2x + 3) + (−7 + 7) = (8 + x) +7 _____________
(2x + 3) + 0 = (8 + x) + 7 _____________
2x + 3 = (8 + x) + 7 _____________
2x + 3 = 7 + (8 + x) _____________
2x + 3 = (7 + 8) + x _____________
2x + 3 = 15 + x _____________
(2x + 3) + (−3) = (15 + x) + (−3) _____________
2x + (3 + (−3)) = (15 + x) + (−3) _____________
2x + 0 = (15 + x) + (−3) _____________
2x = (15 + x) + (−3) _____________
2x = (−3) + (15 + x) _____________
2x = (−3 + 15) + x _____________
2x = 12 + x _____________
2x + (−x) = 12 + x + (−x) _____________
2x + (−x) = 12 + 1 · x + (−x) _____________
2x + (−x) = 12 + 1 · x + (−1) · x _____________
2x + (−x) = 12 + (1 + (−1))x _____________
2x + (−x) = 12 + 0 · x _____________
2x + (−x) = 12 + 0 _____________
2x + (−x) = 12 _____________
2x + (−1) · x = 12 _____________
(2 + (−1)) · x = 12 _____________
1 · x = 12 _____________
x = 12 Solution

Answers

Answer:

173*3*j3

Step-by-step explanation:

naksbvajahagcgaja

Answer:

HIHHIHIHIHIHIHIHIH

Step-by-step explanation:

IHIHIHIHIHIHIHIHIH

URGENT PLS HELP!!!
Work out the value of 3x + 5y
when x = -5 and y = 5

Answers

Answer:

10

Step-by-step explanation:

3x + 5y

Let x= -5 and y =5

3(-5) + 5(5)

Multiply first

-15 +25

Then add

10

10 because 3x-5=-15 and 5x5=25 so 25-15=10

Find the 7th term in the
sequence
,
32
1, 3, 9,...
Hint: Write a formula to help you.
1st term • Common Ratio desired term – 1)
Enter

Answers

Answer:

243

Step-by-step explanation:

formula is

Un = ar^n-1

U7 = ar^7-1

U7 =ar^6

U7 =1/3 ×3^6

where a=1/3 and r= 3

U=243

Please Help Quick ASAp Hurry
What is the exact volume of the cylinder?
A. 780π in3
B. 5070π in3
C. 390π in3
D. 11,700π in3

Answers

Answer:

B. 5070π in³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Volume of a Cylinder Formula: V = πr²h

r is radiush is height

Step-by-step explanation:

Step 1: Define

Identify variables

r = 13 in

h = 30 in

Step 2: Find Volume

Substitute in variables [Volume of a Cylinder Formula]:                                V = π(13 in)²(30 in)Evaluate exponents:                                                                                         V = π(169 in²)(30 in)Multiply:                                                                                                             V = 5070π in³

Answer:

[tex]\large\fbox{B. 5070 π inches³}[/tex]

Step-by-step explanation:

We have given that :-Radius of cylinder , r = 13 inchesHeight of cylinder , h = 30 inchesWe need to find :-

The Volume of cylinder

Formula Used :-

Volume of cylinder = π × r ² × h

Where,

r is the radius of cylinderh is the height of cylinderSolution :-

Using Formula

➛Volume of cylinder = π × r ² × h

substitute the values into the formula

➛ Volume of cylinder = π × ( 13 inches)² × 30 inches.

Evaluate exponent

➛ Volume of cylinder = π × 169 inches ² × 30 inches.

multiply, we get

➛ Volume of cylinder = 5070 π inches ³.

Therefore, option B which is 5070 π inches³ is the correct ☑ answer.

PLEASE HELP FINDING TRIANGLE ANGLE

Answers

Answer:

x = 146

Step-by-step explanation:

The exterior angle of the triangle is equal to the sum of the opposite interior angles

x = 48+98

x = 146

Answer:

The sum of all the angles in a triangle is 180 degrees,

We know the measures of two angles, 48 and 98

if we add those and then subtract their sum from 180, we can find the third angle which will help us find the exterior angle x

48+98=146

180-146 = 34

now, we have to do 180-34 to find the measure of x.

why? any straight line is 180 degrees.

180-34 = 146

x = 146

hope this is correct and it helps you.

I NEED HELP PLEASE ITS A SOLVE FOR X PROBLEM :(

Answers

Answer:

x = 4

Step-by-step explanation:

6(6 + x) = 5(5 + x + 3) => secant secant theorem

36 + 6x = 5(8 + x)

36 + 6x = 40 + 5x

Subtract 36 from each side

36 + 6x - 36 = 40 + 5x - 36

6x = 4 + 5x

Subtract 5x from each side

6x - 5x = 4 + 5x - 5x

x = 4

Tyrone is converting StartFraction 45 Over 50 EndFraction to a percent. Which method should he use to find the percent?

Answers

Answer:

Multiply the numerator and the denominator of the fraction by 2.

Step-by-step explanation:

Here are the options :

Divide the numerator and denominator of the fraction by 2.

Subtract 40 from the numerator and denominator of the fraction.

Multiply the numerator and the denominator of the fraction by 2.

Add 50 to the numerator and denominator of the fraction.

(45 x 2) / (50 x 2) = 90/100

Multiply 90/100 by 100 = 90%

the same answer would be gotten if 45/50 is multiplied by 100

45/50 x 100 = 90%

It took six people four days to build a wall.
a) Working at the same rate, how long would it have taken eight people to build the wall?
b) Working at the same rate, how many people would have been needed if the wall had
to be completed in two days?

Answers

Answer:

a=5 days, 3 hours

b= 3 people

find the measure of the missing angles.​

Answers

Step-by-step explanation:

a is the answer to this question

Answer:

d=90   e=27    f=153

Step-by-step explanation:

The angle adjacent to d is 90 degrees. They both add up to 90. 180-90=190. D=90.

E is a vertical angle, congruent to 27.

E=27.

F is a linear pair with 27, which means it's supplementary (adds to 180). 180-27=153.

F=153.

hey there, please help me. thank you

Answers

Answer:

S.S.S

Step-by-step explanation:

When three sides of a triangle are respectively equal to three corresponding sides of another triangle, they are said to be congruent .

hope it is helpful to you

Please help thank you!

Answers

Answer:

10

Step-by-step explanation:

Complete the angle addition postulate for the following angle

Answers

Given:

A figure and an incomplete equation [tex]m\angle GEM+m\angle MEO+m\angle \_\_[/tex].

To find:

The missing value for the given equation by using the angle addition postulate.

Solution:

A ray EM divides the angle GEO into two parts. The first part is [tex]\angle GEM[/tex] and the second part is [tex]\angle MEO[/tex].

Using the angle addition postulate [tex]\angle GEO[/tex] is the sum of [tex]\angle GEM[/tex] and [tex]\angle MEO[/tex].

[tex]m\angle GEM+m\angle MEO+m\angle GEO[/tex]

Therefore, the missing value is GEO and the complete equation is [tex]m\angle GEM+m\angle MEO+m\angle GEO[/tex].

The ratio of men to women working for a company is 4 to 7. If there are 165 employees total, how many women work for the company?

Answers

Answer: 105

Step-by-step explanation:

Given

The ratio of men to women working for a company is 4:7

There are total of 165 employees

Suppose, there is  4x men and 7x women such that the ratio remains constant

[tex]\therefore 4x+7x=165\\\Rightarrow 11x=165\\\Rightarrow x=15[/tex]

[tex]\text{Men= }4\times 15=60\\\text{Women= }7\times 15=105[/tex]

someone help please, giving brainlist to anyone who answers <3

Answers

Answer:

65 seats

Step-by-step explanation:

1. Approach

To answer this question, one has to find the rate at which seats are added to each row. Then one must find the number of seats in the first row. Using this information, one can form an equation to find out how many seats are in any given row when given the row number. Finally, one can substitute (20) into the equation to find out how many seats are in the row (20).

2.Find the rate at which seats are added

One is given the row number and the corresponding number of seats in the row. This information is presented in the formate ([tex]x,y[/tex]), as the following is,

(3, 31), (6, 37)

Where (x) is the row number and (y) is the number of seats.

To find the rate at which seats are added, one must solve for the rate of change. This can be done using the following formula,

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

Substitute in the given information and solve for the rate of change,

[tex]\frac{37-31}{6-3}[/tex]

Simplify,

[tex]\frac{37-31}{6-3}\\=\frac{6}{3}\\=2[/tex]

Seats are added at a rate of (2) seats per row.

3. Find the equation

The easiest way to write the equation of this situation is to use the equation of a line is in the slope-intercept form. This form is as follows,

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

Where (m) is the slope of the line and (b) is the (y-intercept). As one found in (step (2)) the slope of the line is (2). Substitute this into the equation,

[tex]y=2x+b[/tex]

One is given that (3, 31) is a part of this scenario, substitute this point into the equation and solve for the unknown,

[tex](31)=2(3)+b[/tex]

Simplify,

[tex]31 = 6+b[/tex]

Inverse operations,

[tex]31=6+b\\25=b[/tex]

Substitute this into the equation to complete the equation,

[tex]y=2x+25[/tex]

4.Find how many seats are in the row (20)

Now that one has the equation to find the number of seats where (x) represents the row number and (y) represents the number of seats. Substitute in the row number (20) to solve to find the number of seats in the row.

[tex]y=2x+25[/tex]

[tex]y=2(20)+25[/tex]

Simplify,

[tex]y=2(20)+25\\y=40+25\\y=65[/tex]

Use the graph at the top to figure out the question. If someone could help they would be great! And brainliest. Please help

Answers

Answer:

A) $24

Step-by-step explanation:

Looking at the graph, each gallon of gasoline is $3. Therefore, the equation would be y = 3x. To solve for 8 gallons, substitute the value into the equation.

y = 3(8) = 24

Therefore, the cost of 8 gallons of gasoline would be $24.

A bag contains 60 marbles of different colours. The probability of randomly selecting a red marble is 5/12. How many red marbles does the bag contain?

Answers

Answer:

25 red marbles

What is the area of the irregular polygon shown below?

Answers

Answer:

86 sq units

Step-by-step explanation:

it is the because:

18*4=72

3.5*4/2=7

7+7+72=86 sq units

If θ is an angle in standard position and its terminal side passes through the point (6,1), find the exact value of
sec

θ
secθ in simplest radical form.

Answers

Given:

θ is an angle in standard position.

Its terminal side passes through the point (6,1).

To find:

The exact value of secθ in simplest radical form.

Solution:

If θ is an angle in standard position and its terminal side passes through the point (x,y), then the exact value of secθ is:

[tex]\sec\theta =\dfrac{Hypotenuse}{Base}[/tex]

[tex]\sec\theta =\dfrac{\sqrt{x^2+y^2}}{x}[/tex]

It is given that θ is an angle in standard position and its terminal side passes through the point (6,1), then the exact value of secθ is:

[tex]\sec\theta =\dfrac{\sqrt{6^2+1^2}}{6}[/tex]

[tex]\sec\theta =\dfrac{\sqrt{36+1}}{6}[/tex]

[tex]\sec\theta =\dfrac{\sqrt{37}}{6}[/tex]

Therefore, the exact value of secθ is [tex]\dfrac{\sqrt{37}}{6}[/tex].

Brainly to whomever somehow solves for x. I WILL REPORT SCAMS AND UNHELPFUL "WHAT?" ANSWERS.

Answers

Answer:

[tex]x=\frac{33}{7}[/tex]

Step-by-step explanation:

Since ED is parallel to CA, the two triangles in the figure share all 3 angles and therefore must be similar. By definition, the corresponding sides of similar polygons are in a constant proportion.

Therefore, we have:

[tex]\frac{11}{11+x}=\frac{14}{20},\\14(11+x)=20\cdot 11,\\11+x=\frac{20\cdot 11}{14},\\x=\frac{110}{7}-11=\boxed{\frac{33}{7}}[/tex]

solving system by substitution

Answers

Answer:

The solution of this system is (9, 2).

Step-by-step explanation:

Substitute x - 7 for 'y' in the first equation.  We get:

x - 3(x - 7) = 3           Doing this temporarily eliminates the variable 'y'.

Now perform the indicated multiplication, and then combine like terms:

x - 3x + 21 = 3, or

-2x = -18

so that x = 9.  Substituting 9 for x in the second equation, we get:

y = 9 - 7, or y = 2.  

The solution of this system is (9, 2).

The measures of the angles of a triangle are shown in the figure below. Solve X.

Answers

Answer:

x = 106º

Step-by-step explanation:

There are 180º in every triangle

x = 180 - 32 - 42

x = 106º

Answer:

x= 106 degree

Step-by-step explanation:

x + 42 + 32=180 degree (sum of interior angles of a triagle is 180 degree)

x + 74 = 180

x = 180 - 74

x = 106 degree

Me pueden ayudar con estos ejercicios porfa.

Answers

Step-by-step explanation:

a. 3x²+10x+8 = (3x+4)(x+2)

b. 4x²+21x-18 = (4x-3)(x+6)

c. 3x²+8x+5 = (3x+5)(x+1)

d. 6x²+5x-4 = (2x-1)(3x+4)

e. 15x⁴-23x²+4 =(5x²-1)(3x²-4)

f. 15x⁴+23x²+4 =(5x²+1)(3x²+4)

g. 6x²-7x-3 = (2x-3)(3x +1)

h. 6x²-43x+72 = (3x-8)(2x-9)

What is the area of the triangle shown below?​

Answers

Answer:

12

Step-by-step explanation:

Each half of the isosceles triangle is a right triangle with side lengths 3, 4, 5.

A = bh/2

A = 8 * 3/2

A = 12

The net of an isosceles triangular prism is shown. What is the surface area, in square units, of the triangular prism.

Answers

Answer:

I don't see the triangular prism.

Step-by-step explanation:

here is the problem if you want to help them

the price of a ring was increased by 30% to £325 what was the price before the increase

Answers

Mark brainliest please

Answer is : Price before increase is £250


Explaination:

Let the Original price of a ring = x

Increase price( g) = 30%
New price(n) = £325

x = ( 100*n)/ (100+g)
x= (100*325)/(100+30)
x= (200*325)/130
x= 250

Therefore price before increase is £250

Another method:

Given that after 30% increases,
the cost of the ring is £325 so we can assume that 130% (100+30) is £325.

Now, we have to form an expression in term of x where x represents the original cost :

130/100*x=325

Solving x

x= 250

So the original price or price before the increase is £250




Una máquina de bolas de chicle tiene 23 chicles verdes, 52 chicles rojos, 34 chicles azules, 61 chicles amarillos y 30 chicles rosas. ¿Qué porcentaje de los chicles son rojos?

Answers

Answer:

creo que es 96%

Step-by-step explanation: sume todo los chiles excepto los chiles rojos y luego con la suma de todos los chiles los reste con los chiles rojos.

PLEASE HELP ME PLS!!!!!!!!!

Answers

A. 14 ft
B. 4 seconds
C. 9.25 seconds

Find the volume of the pyramid. The base is an isosceles triangle with a base of 7/3 meters and height of 15/2 meters. The height of pyramid is 24/5 meters
Volume of pyramid =

V=224/25 m3

V=1344/25 m3

V=14 m3

Answers

Answer:

14 m³

Step-by-step explanation:

the volume of pyramid = ⅓× base area × height

= ⅓ × (½×7/3 × 15/2) × 24/5

= (7×15×24)/(3×2×3×2×5)

= 2520/180

= 14 m³

If using the method of completing the square to solve the quadratic equation
x^2– 10x + 21 = 0, which number would have to be added to "complete the
square"?

Answers

Answer: 25

Step-by-step explanation: The number that is added to both sides is the number that is needed to create a perfect square trinomial.

The question is, what is that number?

Well, it comes from a formula. The number that is added to both sides always comes from half the coefficient of the middle term squared.

So half of -10 squared or -5 squared which is 25.

So 25 is added to both sides.

ANSWER PLEASE!!!!!!!!!!!!!

Answers

Answer:

It would be a negative linear association if not then nonlinear association.

Step-by-step explanation:

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