Given: P (-4; 7), Q ( 3;0) and R (-1;-4).
Determine:
1.1.1
the gradient of QR​

Answers

Answer 1
Slope or gradient = y2-y1/x2-x1

= -4-0/-1-3 = -4/-4 = 1

So final answer is :

Y=x

(By the way don’t get confused and wonder what happened to the 1 , it is with X , cause if you put 1x or x , it’s the same thing)

Related Questions

Consider the equation 5(10)^(z/4)=32 Solve the equation for z, express the solution as a logarithm in base-10

Answers

Answer:

[tex]\displaystyle z = 4\, \log_{10} \left(\frac{32}{5}\right)[/tex].

Step-by-step explanation:

Multiply both sides by [tex](1/5)[/tex] and simplify:

[tex]\displaystyle \frac{1}{5} \times 5\, (10)^{z/4} = \frac{1}{5} \times 32[/tex].

[tex]\displaystyle (10)^{z/4} = \frac{32}{5}[/tex].

Take the base-[tex]10[/tex] logarithm of both sides:

[tex]\displaystyle \log_{10}\left(10^{z/4}\right) = \log_{10} \left(\frac{32}{5}\right)[/tex].

[tex]\displaystyle \frac{z}{4} = \log_{10}\left(\frac{32}{5}\right)[/tex].

[tex]\displaystyle z = \log_{10}\left(\frac{32}{5}\right)[/tex].

Y equals 1/3 X +5 through (two, one)

Answers

Answer:

No solution

Step-by-step explanation:

1 = 1/3(2) + 5

1 = 17/3

Therefore no solution as 1 is not equal to 17/3

Solve the equation for all values of x.
- 2x(x − 8)(10x + 1) = 0
From deltamath.com

Answers

Answer:

x=0       x=8          x = -1/10

Step-by-step explanation:

- 2x(x − 8)(10x + 1) = 0

Using the zero product property

-2x =0   x-8 = 0    10x+1= 0

x= 0    x= 8             10x = -1

x=0       x=8          x = -1/10

find the missing side.​

Answers

Answer:

33.4

Step-by-step explanation:

tan50 = x/28

x =28tan50 = 33.3691 = 33.4 (nearest tenth)

Which equation represents a line which is parallel to the line 7y-x=-56

y=-1/7+1
y=1/7x-1
y=7x-4
y=-7x-2​

Answers

Answer:

The parallel line is y = 1/7 x - 1  

hope this helps!

SOMEONE HELP ME PLEASE

Answers

I NEED HELP TOOOO LIKE ASAPPPP IM IN SUMMER SCIOL LOL
Answer: 1/36
First roll 1/6 chance of getting 1. Second chance 1/6 chance of getting 1. Multiply the two.

Evaluate x^4 • x^-1 when x = 4

Answers

Answer:

64

Step-by-step explanation:

4^4*4^-1      

4^4*1/4

256*1/4

256/4

64

What are the zeros of f(x) = x2 - 8x+16?
O A. x= 4 only
B. x = -4 and x = 4
C. X=-2 and x = 8
D. x=-4 only

Answers

Answer:

x=4

Step-by-step explanation:

f(x) = x^2 - 8x+16

Set equal to zero

0 = x^2 -8x +16

Factor

what 2 numbers multiply to 16 and add to -8

-4*-4 = 16

-4+-4 = -8

0= (x-4)(x-4)

Using the zero product property

x-4 = 0  x-4 =0

x=4  x=4

there are nickels, dimes, and quarters in a piggy bank. altogether, the coins are worth $3.65. the number of dimes is three times greater than the number of nickels, and the number of quarters is one greater than double the number of nickels. how many quarters, nickels, and dimes are there?

Answers

This question is solved using a system of equations, and doing this, we get that: There are 9 quarters, 4 nickels and 12 dimes.

I am going to say that:

x is the number of nickels.

y is the number of dimes.

z is the number of quarters.

In all, they are worth $3.65.

A nickel is worth $0.05, a dime is worth $0.1 and a quarter is worth $0.25, so:

[tex]0.05x + 0.1y + 0.25z = 3.65[/tex]

Dimes: 3 times greater than nickels:

This means that:

[tex]y = 3x[/tex]

Quarters: One greater than double the number of nickels:

This means that:

[tex]z = 2x + 1[/tex]

Value of x:

We have y and z as function of x, so we can replace into the equation and find the value of x, so:

[tex]0.05x + 0.1y + 0.25z = 3.65[/tex]

[tex]0.05x + 0.1(3x) + 0.25(2x+1) = 3.65[/tex]

[tex]0.05x + 0.3x + 0.5x + 0.25 = 3.65[/tex]

[tex]0.85x = 3.4[/tex]

[tex]x = \frac{3.4}{0.85}[/tex]

[tex]x = 4[/tex]

y and z:

[tex]y = 3x = 3(4) = 12[/tex]

[tex]z = 2x + 1 = 2(4) + 1 = 9[/tex]

There are 9 quarters, 4 nickels and 12 dimes.

A similar question is found at https://brainly.com/question/17096268

Solve 2x + 3y = C, for y

Answers

Answer:

y= [tex]\frac{c-2x}{3}[/tex]

Step-by-step explanation:

2x+3y=C

isolate y

3y=C-2x

y= [tex]\frac{c-2x}{3}[/tex]

At age ​20, to save for​ retirement, Rebecca decides to deposit 80​$ at the end of each month in an IRA that pays 6.2% compounded monthly. Use the formula for the value of an annuity.

A=P[(1+r/n)^nt-1]/(r/n)

How much money will be in the IRA when Rebecca​ retires?

How much interest will the IRA have​ gained?

Answers

Answer:

159319.26 I Don't know the interest

Which dimensions cannot create a
triangle?
• three angles measuring 25° 65°, and 90°
• three angles measuring 50°, 30°, and 100°
• three sides measuring 5 in., 12 in., and 13 in.
• three sides measuring 4 ft, 8 ft, and 14 ft

Answers

Answer:

three angles measuring 50°, 50°, 50° because they would add up to 150°. a triangles angles can only add up to 180°

Step-by-step explanation:

Answer:

three sides measuring 4 ft, 8 ft, and 14 ft

Step-by-step explanation:

The sum of the 3 angles of a triangle add to 180

three angles measuring 25° 65°, and 90° 25+65+90 =180

• three angles measuring 50°, 30°, and 100°50+30 +100 = 180

The sides of a triangle a<b<c   (a+b) >c

• three sides measuring 5 in., 12 in., and 13 in.

(5+12)>13  true

• three sides measuring 4 ft, 8 ft, and 14 ft

(4+8) >14  false

SEE QUESTION IN IMAGE

Answers

Answer:

d) 2y + x = 106

Step-by-step explanation:

Mean of the data = sum of the data / number of frequencies:

(40 + 38 + y + y + x + 32)/6 = 362y + x + 110 = 36*62y + x = 216 - 1102y + x = 106

Correct choice is d

prove that...sin^4α+sin^2αcos^2α=sin^2α​

Answers

Answer:

Note that LHS means left-hand side and RHS means right-hand side.

Step-by-step explanation:

LHS = sin⁴a + sin²a cos²a

= sin²a (sin²a + cos²a)

At this point, you can use the identity sin²a + cos²a = 1,

= sin²a (1)

= sin²a

= RHS (Proved)

Answer:

Step-by-step explanation:

[tex]\Large \boldsymbol{} \sin^4a+\sin^2a \cos^2a=\sin^2a \\\\\sin^2a(\underbrace{\sin^2a+\cos^2a}_1) =\sin^2a \\\\\sin^2a\cdot 1=\sin^2a \\\\\sin^2a=\sin^2a[/tex]

If you get it right, you are a critical thinker. You were in the garden, there are 34 people in the yard. You kill 30. How many people are in the garden?

Answers

The answer is 1 because you are the only one in the garden. The rest of the people are in the yard.

GEOEMTRY- PLEASE HELP , solve for x

Answers

Answer:

[tex]17x-23=1/2\times81[/tex]

[tex]17x-23=40.5[/tex]

[tex]17x=40.5+23[/tex]

[tex]17x=63.5[/tex]

[tex]x=63.5/17[/tex]

[tex]x=3.73[/tex]

OAmalOHopeO

what is the volume of the triangular prism​

Answers

Answer:

308 cm³

Step-by-step explanation:

The volume is:

V = Bl = 1/2(ah)lV = 1/2(7*8)*11 = 308 cm³

[tex]\\ \rm\Rrightarrow Volume=Area\:of\;base(Height)[/tex]

[tex]\\ \rm\Rrightarrow Volume=\dfrac{1}{2}Base\times Height \times Height\:of\;Prism[/tex]

[tex]\\ \rm\Rrightarrow Volume=\dfrac{1}{2}(8)(7)(11[/tex]

[tex]\\ \rm\Rrightarrow Volume=4(7)(11)[/tex]

[tex]\\ \rm\Rrightarrow Volume=28(11)[/tex]

[tex]\\ \rm\Rrightarrow Volume=308cm^3[/tex]

PLEASE HELP!!!!!!!!

Answers

Answer:  3

Step-by-step explanation:                                                                                                          

[tex]\displaystyle\ \Large \boldsymbol{} We \ have \ a \ square\ function \\\\ f(x)=ax^2+bx+c \\\\And \ we \ know \\\\ \left[\left \[ {{f(0)=a\cdot 0+b\cdot0+c=0} \atop {f(-4)=a(-4)^2+-4b+c=-24}} \right.=>[/tex]                                                [tex]\displaystyle\ \Large \boldsymbol{} \left[ \ {{c=0} \atop {16a-4b=-24}} \right. =>\boxed{4a-b=-6} \\\\\\ and \ x_0 =-\frac{b}{2a}=1 =>\boxed{ b=-2a} \\\\\\ \left \{ {{4a-b=-6} \atop {b=-2a}} \right. =>4a+2a=-6=> a=-1 \ ; \ b=2 \\\\\\then \ b-a=2-(-1)=\boxed{3}[/tex]                                                                                    

If two natural numbers are n and (n+3) prove that the differences of their square is an even numbers

Answers

Answer and explanation:

Given two natural numbers n and n+3, we prove that the difference or their squares is even thus:

(n+3)²-(n)²= (n+3)(n+3)-(n)²

=n²+3n+3n+9-n²

=6n+9

Since the value of the difference of square of the natural numbers n and n+3 is in the form 6n+9, the difference is not an even number.

What is an equation for this graph?

Answers

Answer:

sinx

Step-by-step explanation:

the shape of the graph shows a sine graph, which is usually denoted by asinbx+c

a is amplitude/2 = 2/2 = 1

b is the period, 360 = 360/b, b=1

since the graph starts at (0,0), c =0

hence, this graph is 1sin1x = sinx

The equation is y = sin(x)

Help Please I will
Mark brainliest

Answers

Answer:

-2

Step-by-step explanation:

The output of the chart and graph drops by 2 for every input.

What is the value of |6x| - |- 2y| if x = - 3 and y= 5?

Answers

Answer:

8

Step-by-step explanation:

|6x| - |- 2y|

Let x = -3 and y = 5

|6*-3| - |- 2*5|

|-18| - |-10|

Taking the absolute values

18 - 10

8

Select the correct answer from each drop-down menu.
CD is perpendicular to AB and passes through point 95, 12).
If the coordinates of A and B are (-10, -3) and (7,14), respectively, the x-intercept of CĐ is (blank). The point
(Blank) lies on CD.

Answers

Answer:

Hello! the answer is CD is 17,0 (-2,19)

given m||n, find the value of x

Answers

Step-by-step explanation:

3x+5+x-25=180°

4x=180°+20

x=50

Because m and n are parallel, we can use the supplementary angles theorem. This means that the two angles add up to equal 180°.

Knowing this, we can add the two angles together and they should equal 180:

(3x + 5) + (x - 25) = 180

4x - 20 = 160

4x = 160

x = 40

If needed, to find the angle measures, we can just plug in our x value to find the measures of the angles.

Given three consecutive odd integers whose sum is 369, find the smallest of the three integers.

Answers

Answer:

Step-by-step explanation:

369 = x + (x+2) + (x+4)

369 = 3x + 6

363 = 3x

121 = x

now that we know that x = 121, we can solve the equation by plugging in the variable

369 = x + (x+2) + (x+4)

369 = 121 + 123 + 125

369 = 369

The smallest three integers are 121,123 and 125.

Let, the smallest odd integers be n

Then according to the given condition,

[tex]n+(n+2)+(n+4)=369\\3n+6=369\\3n=363\\n=121[/tex]

So, the numbers are,

[tex]n=121\\n+2=121+2=123\\n+4=121+4=125[/tex]

Learn More:https://brainly.com/question/2254193

This polygon is a Quadrilateral (4 sided figure). Based on the interior angle sum, find the value of x.

Answers

Answer:

Step-by-step explanation:

The total sum of interior angles of a quadilateral is 360°

please click thanks and mark brainliest if you like :)

Help anyone can help me do this question,I will mark brainlest.​

Answers

Answer:

but what to do in do I have to find the area of the particular Region or a length of that

What we have to do in this question
You have to post this question again with full explanation!

Seena’s mother is 7 times as old as Seena. After 4 years
her mother will be 4 times as old as she will be then .Find
their present ages.

Answers

Given :

Seena’s mother is 4 times as old as Seena. After 5 years her mother will be 3 times as old as she will be then .Find their present ages.

Solution :

Let us assume :

Seena's age be x

Her mother's age be 4x

After 5 years :

Seena's age = x + 5

Her mother's age = 4x + 5

Ratio of age after 5 years :

Seena's mother = 3

Seena's ratio = 1

Hence, the equation is :

[tex] \looparrowright\frak{ \frac{4x + 5}{x + 5} = \frac{3}{1} }[/tex]

By cross multiplying we get

[tex] \looparrowright \frak{3(x + 5) = 4x + 5}[/tex]

[tex] \looparrowright \frak{3x + 15 = 4x + 5}[/tex]

[tex] \looparrowright \frak{x = 10}[/tex]

Hence, the ages are

Seena's age = x = 10 yrs

Her mother's age = 4x = 4 × 10 = 40 years

Seena's age is 10 and her mother's is 40 respectively

Find the product using suitable property: a.46*102 b.55*1004​

Answers

Answer:

please

Step-by-step explanation:

follow me

please

please

please


A function() is graphed
What is the slope of the function?
m
What is the intercept of the function?
Which equation represents the graph of the function?

Answers

Y=mx+b use that formula
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