if the gradient of a line,B,is -3, what is the gradient of the line which is perpendicular to B

Answers

Answer 1

perpendicular gradients are egual to -1 when multiplying them which means

Step-by-step explanation:

.Ma×Mb=-1

Ma=-1/Mb


Related Questions

Yessenia works at The Buckle. She earns $350 per week plus 3% commission on her sales. If Yessenia sells $8,500 worth of clothing this week,
what would her hourly rate be if she worked 40 hours?

Answers

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

The total amount earned in a week including the commission is $605 working for 40 hours.

The hourly rate is $15.125.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100


We have,

The amount earned in a week = $350

Amount earned in commission = 3% of $8,500

= 3% of 8500

= 3/100 x 8500

= 3 x 85

= $255

The number of hours worked = 40 hours.

The hourly rate for the week:

= (350 + 255) / 40

= 605 / 40

= $15.125

Thus,

The hourly rate is $15.125.

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Graph the equation y-2=1/5(x-5)

Answers

The points to be graphed are (0, 1) and (-0.2, 0). The graph of the equation is shown in the attached image

How to graph the equation of a line?

Given y-2=1/5(x-5)

In order to graph the equation of the line:

First, find the value of x when y = 0:

y-2=1/5(x-5), when y = 0:

0 -2 = 1/5(x-5)

-2 = 1/5x - 1

1/5x = -2 + 1

1/5x = -1

-5x = 1

x = -1/5 = -0.2

Also, find the value of y when x = 0:

y-2= 1/5(x-5), when x = 0:

y-2= 1/5(0-5)

y-2 = 1/5(-5)

y-2 = -1

y = 1

Therefore,  the values to be plotted on our graph are (0, 1) and (-0.2, 0). The image of the graph is attached

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Write an equation of the line that passes through the given point and is (a) parallel and b) perpendicular to the given line.
a. y =
b. y=

Answers

(a) The equation of the parallel line is y = 3x - 11.

(b) The equation of the perpendicular line is y = - x/3 - 1.

Consider the line graphed,

The two points on the line are ( 1, - 4 ) and ( 2, - 1 ).

Now, the slope of the line with two points ( x₁, y₁ ) and ( x₂, y₂ ) is:

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Then,

m = ( - 1 - (-4) ) / ( 2 - 1 )

m = 3

(a) The lines which are parallel have the same slope.

Now, the parallel line passes through ( 3, - 2 ).

Therefore, the equation of the line is y = mx + b where b is the y-intercept.

y = mx + b

- 2 = 3 × 3 + b

- 2 = 9 + b

b = - 11

Therefore, the equation of the line is y = 3x - 11.

(b) The slope of the line perpendicular to the line with slope m is equal to - 1/m.

Then the slope of the perpendicular line is - 1/3.

The line passes through the point ( 3, - 2 ).

y = mx + b

- 2 = ( - 1/3 ) × 3 + b

- 2 = - 1 + b

b = - 1

Then the equation of the perpendicular line is:

y = - x/3 - 1

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this is due now pls explain how u got the anser

Answers

Answer:

The correct answer is C.

Step-by-step explanation:

I got the answer by plotting the points on a graph. Then count how many places you have to go from one point to the other to find the slope. To find the y - intercept, look at where the point passes or is on the y-intercept. Sorry if this isn't a good explanation.

(p+2) is a factor of (3p^3-4p^2-13p+14)

Answers

Answer:

true

Step-by-step explanation:

3p^3-4p^2-13p+14 = (p-1)(3p-7)(p+2)

Suppose that ab = 5 cm. If we continually duplicated segment ab, what are the lengths of the first four segments you would be able to construct?

Answers

After solving the arithmetic sequences, he lengths of the first four segments will be 20 cm.

What is arithmetic sequences?

Arithmetic sequences take the following format: a, a+d, a+2d, a+3d, etc. up to n terms. A is the first term; d is a frequent difference; and n is the total number of terms.

Find the AP, the number of terms, and the common difference for the calculation using the arithmetic sequence formulas. To determine the nth term, sum, or common difference of a given arithmetic sequence, various arithmetic series formulas are used.

To find the lengths of the first four segments we use the Arithmetic progression formula that is

[tex]a_n =[/tex] a₁ + (n - 1)d

Where

an = the nᵗʰ term in the sequence

a₁ = the first term in the sequence

d = the common difference between terms

We have a₁ as 5 cm and as it is being duplicated the common ration d is 5

and we have been asked the length of the first four segments, so n = 4

Lets substitute the given information

[tex]a_n =[/tex] 5 + (4 - 1)5

    = 5 +(3)5

    = 5 + 15

    = 20

Thus, after continually duplicated segment ab, the lengths of the first four segments will be 20Cm

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The sides of a triangle are 7 cm, 18 cm, and 16 cm. Find the length of the longest side of a similar triangle whose shortest side is 14.7 cm.

Answers

The longest side of the other triangle is 37.8 cm

How to determine the longest side of the other triangle?

From the question, the sides of the triangle are given as

Sides of a triangle = 7 cm, 18 cm, and 16 cmThe shortest side on a similar triangle is 14.7 cm.

This means that

Ratio = Corresponding sides of the triangles

So, we have

Ratio = Longest sides : Shorters sides

Substitute the known values in the above equation

So, we have the following equation

18 : 7 = Longest side : 14.7

Multiply 18 : 7 by 2.1

So, we have

37.8 : 14.7 = Longest side : 14.7

So, we have

Longest side = 37.8

Hence, the longest side  is 37.8 cm

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The division law of exponents says that if b is a non zero number and n and m are any numbers then bm/bn = bm-n true or false?

Answers

it is True that the division law of exponents says that if b is a non zero number and n and m are any numbers in the exponents of b then b^m/b^n = b^(m-n)

What is division law of exponents?

This is the law that governs numbers that are have exponents or power.

According to the question b is the number while m and n represents the value of the exponents or the numbers for which number b is raised to their power say: b^m and b^n

The division law of exponents holds as:

=  b^m ÷ b^n

= b ^ ( m - n )

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PLS HELP 40 POINTS IF YOU GET THIS RIGHT AND BRAINLIST. PRETTY SIMPLE.

• Jackie made a mistake when he _________.

• The Triangle Congruence Postulate or Theorem that is easiest for me to use is ____ because _____.

• The Triangle Congruence Postulate or Theorem that is the most difficult for me to use is ____ because _____.

Answers

Answer:

12

Step-by-step explanation:

bla bla bla is not 12 and I know that thanks for my points is not 12 thanks

Triangles worksheet

Answers

We can tell if the components on each side of the equation are congruent when you see the equals sign with a squiggly line on top. Name the corresponding sides after that. Two triangles with corresponding sides have matching sides. Congruent triangles will have the same length.

How did you recognize the triangles' matching sides?The same two angle pairs are touched by corresponding sides. When the sides are equivalent, you can multiply each side by the same value to move from one triangle to another. The corresponding sides of the triangles in the similar triangles diagram are the same color.The side a (next to b) must match either v or x, for instance, if one polygon has the sequential sides a, b, c, d, and e and the other has the sequential sides v, w, x, y, and z. (both adjacent to w).If two triangles have sides A,B,C and a,b,c, respectively, and they are similar, then the pair of matching sides are proportionate, meaning that A: a = B: b = C.The relationship between the sides and angles of two congruent triangles is referred to as "corresponding parts of congruent triangles," or cpct.

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Calculate the value of a in the triangle below.
15 cm
12 cm
a cm

Answers

Answer:

a = 9 cm

Step-by-step explanation:

Calculate the value of a in the triangle below.15 cm12 cma cm

it is a right triangle and we use the Pythagorean theorem

a = √(15²-12²)

a = √(225 - 144)

a = √81

a = 9 cm


Find the median number of points.
4
5
5
8
8
8
9
12
13

Answers

I believe it would be 8 because it is in the middle of the numbers and is more of the numbers than the others

Answer:

8

Step-by-step explanation:

Hello, no worries! It's a pleasure to meet and help you out today.

Median refers to the number that is in the middle of a data set.

The data set you provided has the numbers listed in order, which is great! However, if it's not listed in order, then you must list it in order by yourself.

Data Set: 4, 5, 5, 8, 8, 8, 9, 12, 13

As I said previously, we must find the middle value in the data set.

Data Set: 4, 5, 5, 8, 8, 8, 9, 12, 13

Clearly, the middle value in the data set is 8, so that's the median.

I hope my work has helped you in a way, and I wish you the best of luck with the rest of your assignment! (:

Determine the value of y in the inequality.

18 + 6y < 42

y < −7
y > −7
y < 4
y > 4

Answers

Answer:

y>-7

Step-by-step explanation:

Answer:

the answer is option 3

Step-by-step explanation:

18+6y<42

6y<42-18

6y<24

y<4

e. Write an equation for the line containing all possible images of point C.

Answers

Following a dilation with a scale factor of s, the coordinates of point C are 3.s +2,s. The line's equation is 3y = x - 2

What is the slope intercept equation for this line?

When you know the slope of the line to be examined and the point given is also the y intercept, you can use the slope intercept formula

y = mx + b. (0, b).

The y value of the y intercept point is represented by b in the formula.

First part

The scale factor of dilation = 2

Given that the center of dilation is the point (2, 0) on the preimage, we have;

The coordinates of the image are;

(2, 0), (2 ×(5 - 2) + 2, (2 × (1 - 0)), (2 × (5 - 2) + 2, 0)

Which gives;

The coordinates of the vertices of the image are; (2, 0), (8, 2), (8, 0)

Please find the drawing of the image of the dilation of triangle ΔABC with a scale factor of 2 attached.

Second [part;

The scale factor = 3

Center of dilation = (2, 0)

The coordinates of the image are therefore;

(2, 0), (3 × (5 - 2) + 2, (3 × (1 - 0)), (3 × (5 - 2) + 2, 0)

Which gives;

(2, 0), (11, 3), and (11, 0)

Please find attached the drawing of the image of the dilation of triangle ΔABC with a scale factor of 3

Third part;

The scale factor = 12

Center of dilation = (2, 0)

The coordinates of the image are;

(2, 0), (12 × (5 - 2), 12 × (1 - 0)), (12 × (5 - 2), 0)

Which gives;

(2, 0), (36, 12), (36, 0)

Please discover connected the drawing of the image of ΔABC having a scale factor of 12

Fourth part

Center of dilation = (2, 0)

Scale factor of dilation = s

The coordinates of the image are;

A(2, 0), C(s × (5 - 2) + 2), s × (1 - 0)), B(s × (5 - 2) + 2, 0)

Which gives;

The coordinate of point C is  3.s +2,s.

Fifth part

The slope of the line is m, which is equal to the slope of the side AC  of Δ A B C, which is given as follows;

[tex]$m=\frac{1-0}{5-2}=\frac{1}{3}[/tex]

The equation of the line in point and slope form is therefore;

[tex]$y=\frac{1}{3} \times(\mathrm{x}-2)[/tex]

Which gives;

3y = x - 2

- The equation of the line is 3y = x - 2

The complete question is:

Here is triangle ABC. Draw the dilation of triangle ABC with center (2,0) and scale factor 2. Draw the dilation of triangle ABC with center (2,0) and scale factor 3. Draw the dilation of triangle ABC with center (2,0) and scale factor 12. What are the coordinates of the image of point C when triangle ABC is dilated with center (2,0) and scale factor s? Write an equation for the line containing all possible images of point C.

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irections: Find the missing endpa
D. R(-9, 4) and S(2, -1); Find T.

Answers

The coordinates of T are (13, -6) which s is the midpoint of rt r(-9,4) and s(2,-1).

What is Midpoint?

A midpoint is defined as in the middle of the line connecting two points a position known as a midpoint. A location in the middle of a line connecting the two points that are equally far from both points is the midpoint.

Let two points A (x₁, y₁) and B (x₂, y₂), the midpoint between A and B is given by,

M(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2

Assuming that S is the midpoint of the line segment RT, where point R's coordinates are (-9, 4) and S's coordinates are (2, -1).

We have to determine the coordinates of point T.

The midpoint is the average of both endpoints. i.e., (x₁, y₁) and (x₂, y₂).

In this case, the midpoint is given by M = S(2, -1).

Let R(x₁, y₁) = R(-9, 4) and we will determine T(x₂, y₂).

2 = (-9 + x₂)/2

-9 + x₂ = 4

x₂ = 13

-1 = (4 + y₂)/2

4 + y₂ = -2

y₂ = -6

Therefore, the coordinates of T are (13, -6).

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The question seems to be incomplete the correct question would be

Find the missing endpoint if s is the midpoint of rt r(-9,4) and s(2,-1) ; find T

in the given picture, the measure of x is __°

*no multiple choice*

Answers

Answer:

x = 52°

Step-by-step explanation:

Exterior Angle Theorem

The interior angles of a triangle sum to 180°.  Angles on a straight line sum to 180°.  Therefore, the exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles of the triangle.

⇒ x + 90° = 142°

⇒ x + 90° - 90° = 142° - 90°

⇒ x = 52°

Let us assume that,

→ x + y + 90° = 180°

Now the required value of y is,

→ y + 142° = 180°

→ y = 180° - 142°

→ [ y = 38° ]

Then the value of x will be,

→ x + 38° + 90° = 180°

→ x = 180° - 128°

→ [ x = 52° ]

Hence, the value of x is 52°.

Find the quotient of
30 x 10-24
5x10-24
Write the final answer in scientific notation.

Answers

Answer: The quotient of (30 x 10^-24)/(5 x 10^-24) is 6, which means that in scientific notation, it’s written as 6 x 10^0.

Give a real-life representation of loudness and sound using exponential function.

Answers

Using an exponential function, the sound intensity of a noise that is 130 dB is of I = 10 watts/m².

Sound level

The sound level, in dB, of a sound of intensity given by I is given according to the following equation:

[tex]B = 10\log{\left(\frac{I}{I_0}\right)}[/tex]

In which [tex]I_0[/tex] is the smallest sound heard by the human ear, which is of [tex]I_0 =  10^{-12}[/tex] watts/meter.

Hence, for a sound of 130 db, the intensity I is found as follows:

[tex]130 = 10\log{\left(\frac{I}{10^{-12}}\right)}[/tex]

Isolating the logarithm, the equation is:

[tex]\log{\left(\frac{I}{10^{-12}}\right)} = 13[/tex]

The power of 10 and the logarithm are inverse functions, hence the power of 10 is applied to both sides of the equation to isolate the intensity creating the exponential function given as follows:

[tex]10^{\log{\left(\frac{I}{10^{-12}}\right)}} = 10^{13}[/tex]

[tex]\frac{l}{10^{-12}} = 10^{13}[/tex]

[tex]l = 10^{-12} \times 10^{13}[/tex]

Multiplying two terms with the same base and different exponents, we keep the base and add the exponents, hence the intensity is given as follows:

I = 10 watts/m².

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y=-4x+12
6x+ 5y = 11

Answers

The value of x = 7/2 and y = -2, Given equation are linear.

What is a linear equation?

When the greatest power of the variable is consistently 1, an equation is considered to be linear. A one-degree equation is another name for it. The typical form of a linear equation with one variable is Ax + B = 0.

The equation are,

y=-4x+12                     --------(i)

6x+ 5y = 11                 --------(ii)

for eq(i),

y + 4x = 12

4x + y = 12

Now, put together both the equation and multiply with coefficient of x to make common value of x so that we can cut by opposite signs,

(4x + y = 12)  * 6

(6x+ 5y = 11)   * 4

After multiplying, we get

24x + 6y = 72

24x + 20y = 44

Now change the signs with + to - and - to +, like that

24x + 6y = 72

24x + 20y = 44

-      -            -

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

0  + 6y - 20y = 72 - 44

=> -14y = 28

=>  y = 28/(-14)

=>  y = -2

Put y = -2 in eq(i),

4x + y = 12

4x - 2 = 12

4x = 12 + 2

x = 14/4

x = 7/2

Hence, the values we get after solving given equation is x=7/2 and y= -2.

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- Without looking, Jeff threw a small beanbag on a target with a radius of 20 cm. Adiagram of the target is shown below.10 cm 10 cmcIf the beanbag lands on the target, what is the probability it will land on the shadedarea?

Answers

To find the probability, we will need to first find the area of the whole circle and the area of the shaded part.

Area of the Big Circle

Given that the radius, R, is 20cm, the area is

[tex]\begin{gathered} A=\pi R^2 \\ =\pi\times20^2 \\ =400\pi \end{gathered}[/tex]

Area of the Shaded Part

We can find the area of the shaded part by calculating the area of the small circle (r = 10cm) and subtract it from the big circle.

Hence

[tex]\begin{gathered} a=\pi r^2 \\ a=\pi\times10^2 \\ a=100\pi \end{gathered}[/tex]

The area of the shaded portion is

[tex]\begin{gathered} A_s=A-a \\ A_s=400\pi-100\pi \\ A_s=300\pi \end{gathered}[/tex]

Probability of landing on the shaded portion:

The probability is calculated by

[tex]\begin{gathered} P(A_s)=\frac{A_s}{A} \\ =\frac{300\pi}{400\pi} \\ P(A_s)=\frac{3}{4} \end{gathered}[/tex]

Therefore, the probability that the ball will land on the shaded area is 3/4.

The FOURTH OPTION is correct.

Find the volume of this cone.Use 3 for T.10 ft=115 ftTr²hV=3Hint: The radius (1) is1/2 of the diameter.V ~ [?]ft3

Answers

Given:-

[tex]V=\frac{\pi r^2h}{3}[/tex]

To find the volume of the cone.

From the given image it is clear,

[tex]h=5,r=5[/tex]

So now we substitute the known values. so we get,

[tex]\begin{gathered} V=\frac{\pi r^2h}{3} \\ V=\frac{3(5)^25}{3} \\ V=5^3 \\ V=125 \end{gathered}[/tex]

So the required volume is 125ft^3.

Find the least common multiple of 3x and 3(x−2)

Answers

The least common multiple of the 3x and 3(x−2) is 9x(x - 2)

How to determine the least common multiple of the expressions?

From the question, the expressions are given as

3x and 3(x−2)

The expressions do not have direct factors or multiples

So, we multiply both expressions to calculate the least common multiple

This above computation can then be represented as

Least common multiple = Product of the two expressions

Substitute the known values in the above equation

So, we have the following representation

Least common multiple = 3x * 3(x - 2)

Evaluate the product of 3x and x in the above equation

So, we have the following equation

Least common multiple = 9x(x - 2)

Hence, the least common multiple of the expressions is 9x(x - 2)

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How much would Haiti’s balance be from account two over 3.4 years round to two decimal place

Answers

Solution:

Given:

Account 2 details:

Assume a year is 365 days;

[tex]\begin{gathered} P=\text{ \$}8100 \\ t=3.4years \\ r=5.1\text{ \%}=\frac{5.1}{100}=0.051 \\ n=365days \end{gathered}[/tex]

Using the compound interest formula to get the amount;

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Hence, substituting the values;

[tex]\begin{gathered} A=8100(1+\frac{0.051}{365})^{365\times3.4} \\ A=8100(1+\frac{0.051}{365})^{1241} \\ A=9633.55 \end{gathered}[/tex]

Therefore, the balance in account 2 will be $9633.55

Write the following expression using the fewest possible terms.

(−2x − 13) + (19 + 5x)

3x + (−6)
7x + (−6)
7x + 32
3x + 6​

Answers

There is nothing more we can do with these binomials, so we break them up and combine like terms.

-2x - 13 + 19 + 5x
5x - 2x + 19 - 13
3x + 19 - 13
3x + 6

Answer:

[tex]\boxed{\sf 3x+6}[/tex]

Step-by-step explanation:

[tex]\sf \left(-2x-13\right)+\left(19+5x\right)[/tex]

Simplify:-

[tex]\sf -2x-13+19+5x[/tex]

Combine like terms/Add numbers:-

[tex]\sf -2x+5x-13+19[/tex]

[tex]\sf (-2x+5x)=\bf 3x[/tex]

[tex]\sf (-13+19)=\bf 6[/tex]

[tex]\boxed{\sf 3x+6}[/tex]

Therefore, your answer is D. 3x + 6!!

_______________________

Hope this helps!

Have a great day!

Line g passes through points (2, 3) and (5, 2). Line h is perpendicular to line g. What is the slope of line h?

Answers

The slope of the line h is 3

Let m1 be the slope of line g and m2 be the slope of line h.

Line g passes through points (2, 3) and (5, 2).

Using the formula of slope,

m1 = (2 - 3)/(5 - 2)

m1 = -1 / 3

Line h is perpendicular to line g.

We know that the product of slopes of the perpendicular lines is -1.

m1 * m2 = -1

(-1/3) * m2 = -1

m2 = 3

Therefore, the slope of the line h is 3

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What is the slope of the linear relationship shown on the graph?
4/3
-4/3
3/4
-3/4

Answers

The slope of the linear graph is - 4 / 3.

How to find the slope of a linear graph?

The slope of a linear graph is the change in the dependent variable with respect tot he change in the independent variable.

The slope is describe as rise over run.

Therefore, the slope can be represented mathematically, as follows;

Hence,

slope = y₂ - y₁ / x₂ - x₁

Therefore, using (0, -2) and (- 3 / 2, 0)

x₁ = 0

x₂ = - 3 / 2

y₁ = - 2

y₂ = 0

Therefore,

slope = 0 + 2 / - 3 / 2  - 0

slope = 2 ÷ - 3 / 2

slope = 2 × 2 / -3

Therefore,

slope = - 4 / 3

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Ajay is working two summer jobs, making $8 per hour washing cars and $11 per hour
tutoring. Last week Ajay worked 2 more hours tutoring than hours washing cars and
earned a total of $60. Write a system of equations that could be used to determine
the number of hours Ajay worked washing cars last week and the number of hours he
worked tutoring last week. Define the variables that you use to write the system.
Let
Let
System of Fiquations

Answers

Using equation, the number of hours Ajay spent washing car and tutoring are 2 and 4 hours respectively.

How to represent system of equation?

Ajay is working two summer jobs working $8 per hour washing cars and $11 per hour tutoring.

Last week Ajay worked 2 more hours tutoring than hours washing cars and earned a total of $60.

The system of equation that could be used to determine the number of hours Ajay worked washing cars last week and the number of hours he worked tutoring last week can be calculated as follows:

let

x = number of hours washing cars

y = number of hours tutoring

Therefore,

y = 2 + x

Hence,

8(x) + 11(2 + x) = 60

8x + 22 + 11x = 60

19x  = 60 - 22

19x = 38

x = 38 / 19

x = 2

Therefore,

y = 2 + 2

y = 4

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Answer:

variables :

Let = w = The number of hours washing car.

let = t = The number of hours tutoring.

system of equations:

8w + 11t = 60

t = w + 2

Step-by-step explanation:


The domain for f(x) and g(x) is the set of all real numbers.
Let fix)=x²+1 and g(x) = 3x.
Find f-g-
A. x²+3x+1
B. 3x³ +3x+1
C. x² + 3x
D. x²-3x+1

Answers

The value of the composite function (f - g)(x) is x² - 3x + 1

How to evaluate the function?

The functions are given as

f(x) = x² + 1

g(x) = 3x

The composite function definition is given as

(f - g)(x)

This composite function is calculated using the following composite function formula

(f - g)(x) = f(x) - g(x)

Substitute the known values in the above equation

So, we have the following equation

(f - g)(x) = x² + 1 - 3x

Evaluate the like terms

(f - g)(x) = x² - 3x + 1

Hence, the composite function is (f - g)(x) = x² - 3x + 1

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4 of 4
A notebook costs £1.10, a pen costs 43p, a pencil costs 24p and a sharpener costs 88p.
Remi buys 2 pencils, 2 pens, 3 sharpeners and some notebooks.
He pays with £7 and receives 82p change.
How many notebooks did he buy?

Answers

Answer:

He bought 2 notebooks

Step-by-step explanation:

Add up the cost of the pens, pencils, sharpeners, and the change.

This will give you £4.80, subtract that from £7.00 and you get £2.20

Since the notebooks are only £1.10, he could've only bought 2.

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How do yu solve this problem right here 25m^2 - 17= -1

Answers

Answer:

The answer will be 4/5

Step-by-step explanation:

25m^2-17=-1

25m^2=-1+71

√25m^2=√16

5m=4

m=4/5

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