What is the gradient of the line that passes through the points (4.2) and (0.4)

Answers

Answer 1

Answer:

[tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

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

[tex]y_{2}=4\\y_{1}=2\\x_{2}=0\\x_{1}=4[/tex]

[tex]=>\frac{4-2}{0-4}[/tex]

[tex]=> -\frac{1}{2}[/tex]

That's it. Hope that helped.


Related Questions

A sample of 12 measurements has a mean of 16.5, and a sample of 15 measurements has a mean of 18.6. Find the mean of all 27 measurements

Answers

Answer: [tex]17.67[/tex]

Step-by-step explanation:

Given

Sample  of 12 measurements has a mean of 16.5 and

a sample of 15 measurements has a mean of 18.6

Take [tex]\bar{x_1},n_1[/tex] be the mean and no of measurements

and [tex]\bar{x_2},n_2[/tex] be the mean and no of measurements in second case

[tex]\therefore \bar{x_1}=\dfrac{\sum a_1}{n_1}\\\\\Rightarrow \sum a_1=\bar{x_1}\times n_1\\\\\Rightarrow \sum a_1=198\quad \ldots(1)[/tex]

Similarly,

[tex]\therefore \bar{x_2}=\dfrac{\sum a_2}{n_2}\\\\\Rightarrow \sum a_2=\bar{x_2}\times n_2\\\\\Rightarrow \sum a_2=279\quad \ldots(2)[/tex]

Mean of 27 measurements

[tex]\Rightarrow \bar{x_3}=\dfrac{\sum a_1+\sum a_2}{n_1+n_2}\\\\\Rightarrow \bar{x_3}=\dfrac{198+279}{12+15}\\\\\Rightarrow \bar{x_3}=\dfrac{477}{27}\\\\\Rightarrow \bar{x_3}=17.67[/tex]

Diego is 8 years older than 3 times Sofia’s age. If Sofia is y years old, which expression represents Diego’s age?

A) (8 × 3) + y
B) 8 + 3 + y
C) 3(8 + y)
D) 3y + 8

Answers

Answer:

D

Step-by-step explanation:

We know that Y represents Sofia's age

Diego is 8 years older than 3 times Sofia's age

means to get Diego's age we have to multiply Sofia's age by 3 and add 8

which is 3Y+8

The answer to this.

Answers

Answer:

The two column proof is presented as follows;

Step [tex]{}[/tex]     Statement               Reason

1 [tex]{}[/tex]            [tex]\overline {AC}[/tex] ≅ [tex]\overline {BD}[/tex]                Given

[tex]{}[/tex]              ∠CAB ≅ ∠DBA  

2  [tex]{}[/tex]          [tex]\overline {AB}[/tex] ≅ [tex]\overline {AB}[/tex]                Reflexive property

3 [tex]{}[/tex]          ΔABC ≅ ΔBAD        SAS rule of congruency

Step-by-step explanation:

Given that we have;

Segment [tex]\overline {AC}[/tex] of ΔABC being congruent to (≅) segment  [tex]\overline {BD}[/tex] on ΔBAD and angle ∠CAB on ΔABC is congruent to angle ∠DBA on ΔBAD, and also that the two triangles share a common side, which is segment [tex]\overline {AB}[/tex], we have;

Segment [tex]\overline {AB}[/tex] is congruent to itself by reflexive property, therefore;

Two sides and an included angle on ΔABC are congruent to the corresponding two sides and an included angle on ΔBAD, which by Side-Angle-Side, SAS, rule of congruency, ΔABC is congruent to ΔBAD

Name a point that is collinear with points E and H

Answers

Answer:

Point J

Step-by-step explanation:

The image of the points are missing and so i have attached it.

Collinear points are simply points that are on the same line.

From the attached image, we see that points E and H are on the same line of the cube.

Now, the other point that lies on that same line as seen in the image is point J.

Thus, point J is collinear to points E & H.

line RP and line RQ are tangent to point G at P and Q. if the measurement of angle PRG=35 degrees, find the measurement of angle PGR.​

Answers

Answer:

55°

Step-by-step explanation:

By theorem of specific circle, the radius is perpendicular to the tangential lineSummation of all internal angles equal to 180°

Thus from the atrachment, the angle PGR is 180°-35°-90°

= 55°

The product of two integers is 84. If one
integer is (-12), find the other.​

Answers

Answer:

-7

Step-by-step explanation:

-12x = 84

/-12     /-12

   x = -7

Answer:

The other integer is - 7.

Step-by-step explanation:

Let the 2 integers be x and y

Given:

  one of the integer is -12, Let x = - 12

  Product of two integers is 84,

that is,

       x × y = 84

     - 12 × y = 84                        [ given one of the integer is -12 ]

       [tex]\frac{-12 \times y }{-12} = \frac{84 }{-12}[/tex]                      [ divide both sides by -12 ]

        [tex]y = - 7[/tex]

12. A is the point with coordinates (1,3)
Bis the point with coordinates (-2, -1)
The line L has equation 3y = 4 - 2x
Is line L parallel to AB?
Show your working clearly.

Answers

Answer:

line L is not parallel to AB

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3y = 4 - 2x ( divide terms by 3 )

y = [tex]\frac{4}{3}[/tex] - [tex]\frac{2}{3}[/tex] x ← in slope- intercept form

with slope m = - [tex]\frac{2}{3}[/tex]

Calculate slope of AB using the slope formula

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

with (x₁, y₁ ) = A(1, 3) and (x₂, y₂ ) = B(- 2, - 1)

[tex]m_{AB}[/tex] = [tex]\frac{-1-3}{-2-1}[/tex] = [tex]\frac{-4}{-3}[/tex] = [tex]\frac{4}{3}[/tex]

Parallel lines have equal slopes

Since the slopes are not equal then the lines are not parallel

will give brainliest !!PLSS HELP fast !! and explain

Answers

Answer:

C

Step-by-step explanation:

Difference means subtraction. That makes B incorrect.

D is wrong because we have no way of knowing if g and h are squares.

A is wrong because the numerical numbers (2 and 6) are not perfect squares. Even if you take out a 2 you are not left with numbers that are prefect squares.

That leaves with C which is the correct answer. The literals are perfect squares and so are the numbers.

Answer:

C

Step-by-step explanation:

Can someone please figure this out thank you

Answers

Using the tangent ratio below:

[tex] \large \boxed{tan A = \frac{opposite}{adjacent} }[/tex]

Therefore, the tangent ratio for a right triangle is:

[tex] \large{tanA = \frac{8}{12} }[/tex]

For this part, use the arctan to find the measure of A.

[tex] \large{arctan( \frac{8}{12} ) = A} \\ \large{arctan( \frac{8}{12} ) = 33.69 \degree}[/tex]

Therefore measure of A is 33.69, round to the nearest tenth as we get 33.7 degrees.

Answer

A = 33.7 degrees

Furthermore, the question mentions the nearest tenth, that means the b and e choice should be cleared out.

Let me know if you have any doubts regarding the trigonometric ratio.

6th grade math help me pleaseeee

Answers

Answer:

The answer is $38115

Step-by-step explanation:

Because I have the smarts

Which of these expressions is equivalent to log (9.4)?
O A. log (9) + log (4)
O B. log (9) - log (4)
O c. 9. log (4)
O D. log (9) • log (4)

Answers

Answer:

log (9) + log(4)

Step-by-step explanation:

log (9.4)

Log (ab) = log (a) + log (b)

log (9) + log(4)

Answer:

A. log ( 9 ) + log ( 4)

Step-by-step explanation:

log( 9.4)

use log (a*b) = log (a) + log (b) to expand expression

log (9) + log (4)

What is the vertex of the function f(x) = x2 + 12x?

(–6, –36)
(–6, 0)
(6, 0)
(6, –36)

Answers

Answer:

(- 6, - 36 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

f(x) = x² + 12x ← is in standard form

with a = 1, b = 12, c = 0 , then

x = - [tex]\frac{12}{2}[/tex] = - 6

Substitute x = - 6 into f(x) for corresponding value of y

f(- 6) = (- 6)² + 12(- 6) = 36 - 72 = - 36

vertex = (- 6, - 36 )

Answer:

A: (-6, -36)

Step-by-step explanation:

This should be the right answer on edge,

please correct me if I'm wrong.

The plans for a new aquarium call for 2 hallways of exhibits leading out of a circular main room as shown. What is the value of x? Give reason

Answers

Answer:

[tex]x =23^o[/tex]

Step-by-step explanation:

Given

See attachment

Required

Find x

To solve for x, we make use of:

[tex]5x + 65= 180[/tex] --- angle on a straight line

[tex]5x = 180-65[/tex]

[tex]5x = 115[/tex]

Solve for x

[tex]x = 115/5[/tex]

[tex]x =23^o[/tex]

Kylo and Quartez had $70 and $60 respectively at first. After Kylo spent $20 and Quartez received some money from his mother, Quartez had twice as much money as Kylo.
(a) How much did Kylo have in the end?
(b) How much did Quartez receive from his mother?

Answers

Answer:

a) $50 b) $40

Step-by-step explanation:

Kylo started with $70 and spent $20. This can be written as 70-20, which equals $50.

At the end, Quartez had double what Kylo had. This can be written as 2×50, which is $100. He started with $60, so his mother gave him 100-60 or $40.

**This content involves solving simple worded questions, which you may wish to revise. I'm always happy to help!

Kylo had in end

70-20=$50

Now

let Quartz received x

2(50)=x+60x=100-60x=$40

Whats is the value of x in the equation 1.5(x+4)-3=4.5(x-2)

Answers

Answer:

Step-by-step explanation:

1.5 (x+4)-3=4.5(x-2)=

1.5x+6-3=4.5x-9=

1.5x+3=4.5x-9=

1.5x-4.5x=-3-9=

-3x=-12

x=4

Answer:

x=4

Step-by-step explanation:

1.5(x+4)-3=4.5(x-2)

-Use distributiive prop. to simplify

1.5x+6-3=4.5x-9

-Simplify 6-3

1.5x+3=4.5x-9

-Subtract 1.5x from both sides

3=3x-9

-Isolate the x's by subtracting 9 from both sides

12=3x

-divide by 3

4=x

:) ur welcome

x + 3y = 1, -3x - 3y = -15
System of question

Answers

Step-by-step explanation:

[tex]x + 3y = 1 \\ - 3x - 3y = - 15 \\ x = 1 - 3y \\ - 3(1 - 3y) - 3y = - 15 \\ - 3 + 9y - 3y = - 15 \\ - 3 + 6y = - 15 \\ 6y = - 15 + 3 \\ 6y = - 12 \\ y = - 2[/tex]

[tex]y = - 2 \\x = 1 - 3y \\ x = 1 - 3( - 2) \\ x = 1 + 6 \\ x = 7[/tex]

which choice belongs in space number 4

Answers

Answer: The answer is the 4th choice.

This shows that the line AC divides BC into equal parts showing that BC = CD

What is bisection of a line?

Bisection simply means dividing the section of a line into two parts.

From the given proof shown, we can see that the proof shows that the line AC bisects the line BD at point C.

This shows that the line AC divides BC into equal parts showing that BC = CD

Hence the expression that proves the bisection is BC = CD

Learn more on bisection here: https://brainly.com/question/25770607

#SPJ6

please show me the steps of to do this
DON"T GIVE ME THE ANSWER
ASAP

Answers

Answer:

B

Step-by-step explanation:

The number [tex]a . 10^{-2}[/tex] is 8 times greater than [tex]b . 10^{-3}[/tex]

thus, [tex]a . 10^{-2} = 8b. 10^{-3}[/tex]

multiply both sides by [tex]10^{2}[/tex]

we get [tex]a = 8b. 10^{-1} \\a = 0.8 b[/tex]

if we take a = 2.5 and b = 3.1 we get 2.5/3.1 = 0.8

then B is the answer

I don’t actually know I’m just trying to get points

4.5c=9
C=
Pls help me

Answers

Answer:

c =2

Step-by-step explanation:

4.5c/4.5=9/4.5

c =2

C=2















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In figure, if PQ ⊥ PS, PQ||SR, ∠SQR = 2S° and ∠QRT = 65°, then find the values of x and y.​

Answers

Step-by-step explanation:

YAY!!!!!!!!!!!!!!!!!!!

Can someone please please please help me and show working I am stuck.​

Answers

Answer:

i think the c answer is 5

Step-by-step explanation:

list the integers satisfy the inequality -1 less than 2x - 5 less or equal to 5

Answers

Answer:

integers are { 3 , 4 , 5 }

Step-by-step explanation:

- 1 < 2x - 5 ≤ 5

- 1 + 5 < 2x - 5 + 5 ≤ 5 + 5                           [ adding by 5 ]

4 < 2x + 0 ≤ 10

4 < 2x ≤ 10

2 < x ≤ 5                                                     { divide by 2 ]

Therefore, integers are { 3 , 4 , 5 }

What of the following is the BEST statement about dependent and independent variables? Group of answer choices An experiment can have more than one of either kind of variable; you just have to keep your data straight. An independent variable is a factor that changes because of procedures conducted on the dependent variable. A dependent variable is a factor that changes because of procedures conducted on the independent variable. An experiment can have several independent variables but only one dependent variable.

Answers

Answer:

A dependent variable is a factor that changes because of procedures conducted on the independent variable

Step-by-step explanation:

Using a cause and effect analogy, the independent variable is the causal variable. The independent variable or variables are the variables on which what is being measured, has no effect, and it is the variable the investigator manipulates to find the effect on the dependent variable.

The dependent variable are the variables that shows he effect of the changes made and manipulations to the independent variable. The dependent variable is therefore, the effect variable

Therefore, the correct option is ' A dependent variable is a factor that changes because of procedures conducted on the independent variable'

find the next two terms. & choose the correct type of sequence.

Answers

Answer:

why arent you doing the quiz yourself do it yourself thats cheating.

Step-by-step explanation:


[tex] \frac{1.107}{123} \times \frac{1.998}{333} = [/tex]

Answers

Answer:

45

Step-by-step explanation:

[tex]\frac{1.107}{123} \times \frac{1.998}{333} = [/tex]

[tex] = > 9 \times 6[/tex]

[tex] = 45[/tex]

Answer:

Step-by-step explanation:

[tex]\frac{1.107}{123}*\frac{1.998}{333}= 0.009 * 0.006 = 0.000054[/tex]

1107÷ 123 = 9

The dividend has 3 decimal places. So, take 3 decimal places from the right towards left in the result  0.009

1.107 ÷ 123 = 0.0009

0.009 * 0.006

First multiply 9 * 6 = 54

Now, count the number of decimal place in the multiplicands. 0.009 has 3 decimal places and 0.006 has 3 decimal places. So totally, 3+ 3 = 6 decimal places in the result

0.009 * 0.006 = 0.000054

At what rate percent per annum, will $4000 yield an interest of $780 in 18 months (simple interest)?​

Answers

Answer:

13%

Step-by-step explanation:

780 interest/18 months=43.33 interest/month

43.33x12=520 interest/year

principal x interest rate = interest per year

4000 x interest rate =520

interest rate =520/4000

interest rate =.13 or 13%

A local city collects 8% sales tax. If the total purchase was $216.00, then how much was collected for sales tax?

Answers

$216 x 0.08 = $17.28.
Therefore $17.28 was collected for sales tax.

The ordered triple for U is (-1,5,0). To graph this point in three- dimensional coordinate space, do the following.

From the origin, move back 1 units, right_ units, and down 0 units



A. 0
B. 5
C. 1

Answers

Answer:

the answer is B

Step-by-step explanation:

Let x be a continuous random variable over​ [a,b] with probability density function f. Then the median of the​ x-values is that number m for which ModifyingBelow Integral from a to m f (x )font size decreased by 6 dx With font size decreased by 4equalsone half . Find the median. ​f(x)equalsk e Superscript negative kx​, ​[0,infinity​)

Answers

Answer:

The answer is "[tex]\int e^{ax}\ dx=\frac{e^{ax}}{a}+c[/tex]".

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]\int^{m}_{a}\ f(x)\ dx=\frac{1}{2}\\\\f(x)=ke^{-kx}, \ [0, \infty]\\\\[/tex]

let m is the median

[tex]so,\\\\ \int^{m}_{a}\ f(x)\ dx=\frac{1}{2}\\\\\to \int^m_0 k\cdot e^{-kx}=\frac{1}{2}\\\\\to [\frac{k\cdot e^{-kx}}{-k}]^m_0=\frac{1}{2}\\\\\to [- e^{-kx}]^m_0=\frac{1}{2}\\\\\to - e^{-km} +1=\frac{1}{2}\\\\\to e^{-km} =\frac{1}{2}\\\\\to e^{km} =2\\\\\to \ln(e^{km}) =\ln 2\\\\\to km= \ln \ 2\\\\\to m=\frac{\ln \ 2}{k}\\\\ \text{the answer is: } \\\\ \to \int e^{ax}\ dx=\frac{e^{ax}}{a}+c[/tex]

HELP PLZ

Does the Graph Represent A Function? Why Or Why Not?

Answers

Answer:

C

Step-by-step explanation:

Answer:

hi its c because its not a traight line

Step-by-step explanation:

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