A line has a slope of 3 and passes through the point (
–
3,
–
2). What is its equation in point-slope form?
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions

Answer: 17

Step-by-step explanation:

Answer:

it will not change

Step-by-step explanation:

the outlier is 3

the mode is the most occuring value in the list which is 16 before and after the 3 is removed

Answer:

Step-by-step explanation:

The point (7, 0) becomes the point (7, 0) when reflected over the x-axis. That is, its coordinates do not change.

The point (7, 0) lies on the x-axis, so is on the line of reflection. Any point on the line of reflection is invariant--it doesn't move.

__

The transformation for reflection in the x-axis is ...

  (x, y) ⇒ (x, -y)

  (7, 0) ⇒ (7, 0) . . . . . . the opposite of 0 is 0

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Here, we have to find the value of x

We have given quadrilateral ABCD here , whose angles are as follows

[ The measure of right angled triangle is 90° ]

We know that,

That is

[tex]\bold{\angle{ A + }}{\bold{\angle{B +}}}{\bold{\angle{C + }}}{\bold{\angle{D + = 360{\degree}}}}[/tex]

Subsitute the required values

[tex]\sf{ ( 6x + 5){\degree} + 80{\degree}+ 90{\degree} + (9x - 10){\degree} = 360{\degree}}[/tex]

[tex]\sf{ 6x + 5 + 170{\degree} + 9x - 10 = 360{\degree}}[/tex]

[tex]\sf{ 15x - 5 = 360{\degree} - 170{\degree}}[/tex]

[tex]\sf{ 15x - 5 = 190 {\degree}}[/tex]

[tex]\sf{ 15x = 190 {\degree} + 5 }[/tex]

[tex]\sf{ 15x = 195 {\degree}}[/tex]

[tex]\sf{ x = }{\sf{\dfrac{ 195}{15}}}[/tex]

[tex]\sf{ x = }{\sf{\cancel{\dfrac{ 195}{15}}}}[/tex]

[tex]\bold{ x = 13 }[/tex]

Hence, The value of x is 13 .

[tex]\bold{\huge{\underline{\red{ Verification }}}}[/tex]

Measure of Angle A

[tex]\sf{ = (6x + 5){\degree}}[/tex]

[tex]\sf{ = (6(13) + 5 ){\degree}}[/tex]

[tex]\sf{ = (78 + 5 ){\degree}}[/tex]

[tex]\sf{ = 83{\degree}}[/tex]

Measure of Angle D

[tex]\sf{ = (9x - 10){\degree}}[/tex]

[tex]\sf{ = (9(13) - 10){\degree}}[/tex]

[tex]\sf{ = (117 - 10 ){\degree}}[/tex]

[tex]\sf{ = 107{\degree}}[/tex]

Now, we know that,

That is,

[tex]\sf{ 83{\degree} + 80{\degree}+ 90{\degree} + 107 {\degree} = 360{\degree}}[/tex]

[tex]\sf{ 163{\degree}+ 90{\degree} + 107 {\degree} = 360{\degree}}[/tex]

[tex]\sf{ 253{\degree}+ 107 {\degree} = 360{\degree}}[/tex]

[tex]\sf{ 253{\degree}+ 107 {\degree} = 360{\degree}}[/tex]

[tex]\bold{ 360{\degree} = 360{\degree}}[/tex]

[tex]\bold{ LHS = RHS }[/tex]

Hence, Proved.

Answer:

Step-by-step explanation:

Answer:

6/5

Step by step explanation:

Here we are provided with a equation which is ,

[tex]\longrightarrow 15x + 18y = 270 [/tex]

And we are interested in finding the slope of the line which is perpendicular to the given line. We may rewrite the equation as ,

[tex]\longrightarrow 18y = -15x +270\\ [/tex]

[tex]\longrightarrow y =\dfrac{-15x+270}{18}\\[/tex]

[tex]\longrightarrow y =\dfrac{-15}{18}x +\dfrac{270}{8}\\ [/tex]

[tex]\longrightarrow y =\dfrac{-5}{6}x +\dfrac{135}{4} [/tex]

Recall the slope intercept form of the line which is y = mx + c .On comparing to which we get ,

[tex]\longrightarrow m =\dfrac{-5}{6} [/tex]

Again , recall that product of slopes of two perpendicular lines is -1. So that ,

[tex]\longrightarrow m_{\perp} =-\bigg(\dfrac{1}{m}\bigg)[/tex]

Hence ,

[tex]\longrightarrow\underline{\underline{ m_{\perp}= \dfrac{6}{5}}}[/tex]

And we are done !

The slope of the line perpendicular to the line with the equation 15x + 18y = 270 is 6/5.

The equation of the given line is 15x + 18y = 270. To find the slope of this line, we need to rearrange the equation into slope-intercept form, which is y = mx + b, where 'm' represents the slope.

First, solve for 'y':

18y = -15x + 270

y = (-15/18)x + 270/18

y = (-5/6)x + 15

The slope of the given line is -5/6.

For a line perpendicular to this, the slope will be the negative reciprocal of -5/6. The negative reciprocal of a fraction 'a/b' is -b/a.

So, the slope of a line perpendicular to the given line is:

Slope = -(-6/5) = 6/5

Fully simplified, the slope of the line perpendicular to the line with the equation 15x + 18y = 270 is 6/5.

To know more about slope:

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Answer:

36 squares per table cloth, so;

36 x 7,011 = 252,396, there are 252,396 squares.

Answer:

the lines are parallel because yes

Answer:

I think that A 60 and B is acute it must de a bigger 90.

Step-by-step explanation:

Step-by-step explanation:

(i) 240 ÷ 4000 = 0.06

(ii) 760 ÷ 4000 = 0.19

(iii) (20 + 10) ÷ 4000 = 0.0075

I guess this is the answer

i am not sure!!!!

Answer:

A

Step-by-step explanation:

y = a f(x)

If |a| > 1 then a f(x) is f(x) stretched vertically by scale factor of a

If 0 < |a| < 1 then f(x)  is squashed vertically

If a < 0 then f(x)  is also reflected in the x-axis

y = f(ax)

If |a| > 1 then f(ax) is f(x) squashed horizontally by a scale factor of a

If 0 < |a| < 1 then f(x)  is stretched horizontally

If a < 0 then  f(x) is also reflected in the y-axis

g(x) has been squashed vertically by a scale factor of 1/3 (green on the attached diagram) and then reflected in the x-axis (red on the attached diagram)

Therefore, the solution is [tex]g(x) = -\dfrac13f(x)[/tex]

Answer:

x = 8cm

Step-by-step explanation:

#IhopeThisHelp

Answer:

The answer without rounding the numbers to the highest place value is 239074.473 if this was rounded to the nearest whole number it will be 239074

Step-by-step explanation:

3812.99 would be rounded to 3813

62.7 would be rounded to 63

3813*63=240219 <-----Correct answer

hope this helps mark brainliest please :)

Answer:

A

Step-by-step explanation:

x^2-14x+49 factors into (x-7)(x-7) or (x-7)^2

Answer:

=10cm

Step-by-step explanation:

=4times5 divided by 2

But that is only one triangle, the whole area is 40cm*2

" First of all, this is a hexagon which has 6 sides and 6 angles "

Answer:

Step-by-step explanation:

This is NOT a quadrilateral as the shape has 6 sides with 2 pairs of them parallel to each other.  All quadrilaterals have 4 sides instead.

The arc angle LM of the circle is 60 degrees.

The arc angle LM of the circle can be found as follows:

The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.

Therefore, let's find the central angle that subtend LM in the circle as follows:

central angle = 180 - 120 = 60 degrees(angle on a straight line)

Hence, the central angle is equals to the arc angle.

Therefore,

arc LM = 60 degrees

learn more on angles here: https://brainly.com/question/28626462

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Answer:

A rational number is defined as a number that can be written as a fraction and a number that terminates.

An irrational number is defined as a number that can't be written as a fraction and a number that has no end.

Step-by-step explanation:

4/7 is irrational because, in decimal form, it is 0.57142857...

Square root of 30 is also irrational because the square root is 5.47722557...

21 divided by square root of 4 is rational because square root of 4 is 2 and 21 divided 2 is 10.5.

pi is irrational because, in decimal form, it is 3.14159265....

-27 is also rational because it terminates

Answer:

4/7 rational, Sq root 30 irrational, 21/Sq root 4 rational, pi irrational, -27 irrational

Step-by-step explanation:

Answer:
1/7(n)-7 < 98

Step-by-step explanation:

Answer: 15.75

Step-by-step explanation: 4.5 x 3.5

Answer:

17/18

Step-by-step explanation:

okay this one is a bit different

you have to take the total number that are batwing-shaped (12) and the total number that are made of cotton (12) and then subtract the ones that are both batwing-shaped and made of cotton.

so 12+12-7 which is 17

then you put that over the total (18)

17/18 doesn't simplify

two segment drawn from one point outside the circle are equal

[tex]\\ \rm\hookrightarrow 6/x=5/x+3[/tex]

[tex]\\ \rm\hookrightarrow 6(x+3)=5x[/tex]

[tex]\\ \rm\hookrightarrow 6x+6=5x[/tex]

[tex]\\ \rm\hookrightarrow x=-6[/tex]

#2

[tex]\\ \rm\hookrightarrow \dfrac{4}{2x}=\dfrac{5}{x}[/tex]

[tex]\\ \rm\hookrightarrow 4x=10x[/tex]

No solution.

Answer:

4 inches squared… but if this is wrong it’s probably because you didn’t specifically say what shape it is