How to solve ,step by step

How To Solve ,step By Step

Answers

Answer 1

Answer:

gradient = slope = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] = [tex]\frac{rise}{run}[/tex]

Slope intercept Form equation : y = mx + b

m = slope or gradient

b = y - intercept ( where the line crosses the y = axis)

x and y = are place holders for a coordinate pair that makes the equation true

c) y = -6x + 8

The -6 is the m. It's the slope or gradient.

the + 8  is the b. It's the y- intercept.

d) y = 4

This is a horizontal line. It intercepts the y-axis at 4.

That means the 4 is the y-intercept.

There is no x. That means the slope is 0. The line rises 0 as it runs left to right.

e) y -4x= 0  

equation needs to be is standard form y = mx + b.

add 4x to both sides in order to isolate the y variable.

y = 4x + 0.

The slope or gradient is 4. The y - intercept is 0. The line crosses through the origin.

f) y -x = -8

Add x to both sides.

y = x - 8

There is one x.  That means the gradient is 1. The y-intercept is the -8

g) y + 3x = 7

Subtract 3x from both sides.

y = -3x + 7

-3 = gradient. 7 = y-intercept.

h) y + [tex]\frac{1}{2}[/tex]x = -4

Subtract [tex]\frac{1}{2}[/tex]x from each side.

y = -[tex]\frac{1}{2}[/tex]x - 4

One last thing. If you are presented with an equation without a y, the gradient is  'undefined'.

example : x = 4

This a vertical line passing through 4 on the x-axis. There is no 'b' because its not crossing the y-axis.

Why is it 'undefined' ?

As the line rises it, it does not 'run' left or right. [tex]\frac{rise}{0}[/tex] . Zero can never, ever be in the denominator. Denominators can't be zero. That is why we say it's 'undefined'.

Hope this helps.


Related Questions

What is the gradient of a line perpendicular to a line with a gradient of -6?

Answers

Answer:

1/6

Step-by-step explanation:

Gradient of a line perpendicular to a line with a gradient of m = -1/m

Gradient of a line perpendicular to a line with a gradient of -6 = -1 /-6 = 1/6

solve: − <− + 7( − 2)
(show your work)

Answers

Answer:

hope it helps.

stay safe healthy and happy...

Find the value of x that will make A||B

Answers

Answer:

7

Step-by-step explanation:

Alternate interior angles must be congruent.

3x - 2 = 2x + 5

x = 7

f(x) = square root 32x
g(x) = square root 2x

Answers

Given:

The two functions are:

[tex]f(x)=\sqrt{32x}[/tex]

[tex]g(x)=\sqrt{2x}[/tex]

To find:

The [tex](f\cdot g)(x)[/tex]. Assume [tex]x\geq 0[/tex].

Solution:

We have,

[tex]f(x)=\sqrt{32x}[/tex]

[tex]g(x)=\sqrt{2x}[/tex]

Now,

[tex](f\cdot g)(x)=f(x)\cdot g(x)[/tex]

[tex](f\cdot g)(x)=\sqrt{32x}\cdot \sqrt{2x}[/tex]

[tex](f\cdot g)(x)=\sqrt{32x\times 2x}[/tex]

[tex](f\cdot g)(x)=\sqrt{64x^2}[/tex]

[tex](f\cdot g)(x)=8x[/tex]

Therefore, the correct option is A.

Find the value of x. PLEASE HELP ASAPPPPPP


Answers

Answer:

5

Step-by-step explanation:

(38 + 6x - 6) ÷ 2 = 7x -4

multiply both sides by 2

(38 + 6x - 6 = 2( 7x - 4)

38 + 6x - 6 = 14x - 8

32 + 6x = 14x - 8

40 = 8x

x = 5

Midsegments are the average of both bases.

5. A monument casts a 78 ft. shadow at the same time that a vertical yardstick casts a 4.5 ft. shadow. How high is the monument?​

Answers

Hello,

Using Thalès 's theorem:

Let's h the height of the monument.

[tex]\dfrac{1}{h} =\dfrac{4.5}{78} \\\\h=\dfrac{78}{4.5} =\dfrac{156}{9} \approx{17.3\ (ft)}[/tex]

If you don't know what is the Thalès's theorem,

imagine that the similar triangles.

Re-write the following expression using ADDITION ONLY:
12- 3+16 - 37 - (-20)

Answers

12- 3+16 - 37 - (-20)
=9+16-37-(-20)
=25-37-(-20)
=-12-(-20)
=8
(therefore ur answer would be 8)

Answer:

12- 3+16 - 37 -( 20)

=8

Step-by-step explanation:

Two negatives are a positive , this really helps

A manufacturer knows that their items have a normally distributed length, with a mean of 10.2 inches, and standard deviation of 1.8 inches. If 25 items are chosen at random, what is the probability that their mean length is less than 9.8 inche

Answers

Answer:

P [ X ≤  9.8 ]  = 0.1335

Step-by-step explanation:

P [ X ≤  9.8 ]  =  [ ( 9.8  - 10.2 )/1.8√25 ]

P [ X ≤  9.8 ]  =  - 0.4*5/1.8

P [ X ≤  9.8 ]  = - 2 / 1.8

P [ X ≤  9.8 ]  =  - 1.11

From z- table we get:  α  =  0.1335

P [ X ≤  9.8 ]  = 0.1335   or   P [ X ≤  9.8 ]  = 0.1335

John read 10 books in 12 months. What was his rate of reading in months per book?

Answers

Answer:

1.2 books per month

12/10

Step-by-step explanation:

A : B = 5 : 7 and B : C = 3 : 5 what is the ratio of A : B : C ?​

Answers

Answer:

15:21:35 (I'm not sure, but this is my best guess)

Step-by-step explanation:

15:21 = A:B (plugging in 3 as a test)

21:35 = B:C

15:21:35 = A:B:C (can't simplify)

how do I set it up for this?

Answers

Answer:

CF = 8.5

Step-by-step explanation:

Given 2 intersecting chords, then

The product of the parts of one chord is equal to the product of the parts of the other chord, that is

CF × DF = BF × EF , substitute values

CF × 14 = 7 × 17

14CF = 119 ( divide both sides by 14 )

CF = 8.5

someone help me please

Answers

Answer:

1, 3, 4

Step-by-step explanation:

Points N and K are on plane A and plane S

Point P is the intersection of the line n and line g

Points M, P, and Q are noncollinear

What is the value of x?



Enter your answer in the box.

Answers

The answer is x = 9, hope this helps- mark brainliest if you can please thanks
Not 100% sure but I got 9.126 for x

x^4+64 will be the perfect square by adding

Answers

Answer:

[tex]( { {x}^{2} })^{2} + 16 {x}^{2} + {8}^{2} \\ ( {x}^{2} + 8) ^{2} \\ ( { {x}^{2} })^{2} - 16 {x}^{2} + {8}^{2} \\ ( {x}^{2} - 8) ^{2} [/tex]

+16x² or -16x² is the answer

Use expression and the unit grid below to answer the question .

Answers

0.24 divided by 3 is 0.08 I do not understand the question

What is the slope of the line that contains the points in the table

Answers

Answer:

C. -5

General Formulas and Concepts:

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from table

Point (-1, 6)

Point (0, 1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{1 - 6}{0 - -1}[/tex]Subtract:                                                                                                            [tex]\displaystyle m = \frac{-5}{1}[/tex]Simplify:                                                                                                             [tex]\displaystyle m = -5[/tex]

A standard deck of cards contains 52 cards. Of these cards there are 13 of each type of suit (hearts, spades, clubs, diamonds) and 4 of each type of rank (A – K). Two cards are drawn from the deck and replaced each time back into the deck. What is the probability of drawing the King of Clubs and a heart from the deck of cards?

Answers

Answer: 13%

Step-by-step explanation:

April measured her bed and made a scale drawing. The scale of the drawing was 1
centimeter = 6 inches. In the drawing, the bed is 10 centimeters long. What is the
length of the actual bed?

Answers

60 inches = 5 feet long

Tony Stark is trying to improve his Iron Man suit by increasing its power. One modification will cost $350 million, of which the US Government will pay $110 million, and his contractor will offer a 30% discount on the entire cost of the project. If he has half the remainder in petty cash, how much does he still need to raise?'

The total cost is $350 million.

The US Government is offering to pay $110 million.

A contractor is offering to reduce the total cost by 30%.

Tony has enough money to pay the remaining costs out of petty cash.

Answers

69 Nicce elon musk would be proud

Answer:

I am a piano so yeah I'm just typing to fill the character requirement

Step-by-step explanation:

get got


6. Write an equation of a line that is Parallel to the line: y = 3x -3

Answers

Answer:

3x - y -6 = 0

Step-by-step explanation:

We need to find the Equation of the line parallel to the given equation of line . The given equation of the line is ,

[tex]\rm\implies y = 3x - 3 [/tex]

Slope Intercept Form :-

[tex]\rm\implies y = mx + c [/tex]

where ,

m is slopec is y intercept .

Therefore , the Slope of the line is 3 . Let the parallel line passes through ( 3,3) . We know that the parallel lines have same slope . Therefore the slope of the parallel line will also be 3 .

Using point slope form :-

[tex]\rm\implies y - y_1 = m ( x - x_1) \\\\\rm\implies y - 3 = 3( x - 3 ) \\\\\rm\implies y -3 = 3x -9 \\\\\rm\implies 3x -y -9+3=0\\\\\rm\implies \boxed{\rm\red{ 3x -y -6=0}}[/tex]

(show your work!) i only got an hour left for this :c

Answers

Answer:

7 _> x

Step-by-step explanation:

28 - x _> 7(x-4)

28 - x _> 7x-28

28+28 _> 7x+x

56 _> 8x

7 _> x

distribute 7 from (x-4) so then you’re equation would be
28-x>_7x-28
then you’ll combine like terms. (-x and 7) and 28 and -28 )you’re equation is now
-8x>_ -56
divide both sides by -8 and flip your inequality sign your equation is now
x<_ 7 which is your final answer.
x is less than or equal to 7
hope this helps!

15 POINTS AND BRAINLIEST!!!

Answers

Answer:

option C

Step-by-step explanation:

2, 4, 6

i don't know whether it is correct or not...

The volume of a cube is 8mm3.
What is the length of its side?

Answers

Answer:

the length of cube

is 2 mm

Answer:

2m

Step-by-step explanation:

A cube is a 3-dimensional object with all sides of equal length. So, length = breadth = height

Let the side of cube be x.  

Then Volume of cube = x * x * x

So, length (side) of cube is 2m

Which graph is that of the inequality shown below?

Answers

Answer:

Graph C

Step-by-step explanation:

Each graph has the same slope and points, but only C works for this inequality- since you’re looking for less than or equal to, and only graphs b and c show less than, you know it’s one of those. From there you know it’s less than or equal to, so you want the full line, not dotted, since dotted represents that those values are excluded from the solution.

solve for:− 5 − 6 ≤ 8 − 8 − (show your work)

Answers

Answer:

hope it helps.

stay safe healthy and happy...

Which of the following is the logical conclusion to the conditional statements below? a arrow b mb arrow c

Answers

Answer:

B

Step-by-step explanation:

From what we have here;

if a implies b and b implies c

It simply means that we have a implying c

the correct representation here is given in the second option

And thus, we have it that;

a => c

Can someone help me with this

Answers

Answer:

a = 17

c = 9

Step-by-step explanation:

2a + 3c = 61

3a + 5c = 96

3a = 96 - 5c   (solve for 'a'. Then you can substitute)  

a = 32 - [tex]\frac{5}{3}[/tex] c

2(32 - [tex]\frac{5}{3}[/tex]c) + 3c = 61     (Substitute)

64 - [tex]\frac{10}{3}[/tex]c + 3c = 61        ([tex]\frac{10}{3}[/tex] = 3 [tex]\frac{1}{3}[/tex]. So subtracting, adding a negative, leaves [tex]\frac{-1}{3}[/tex])

-[tex]\frac{1}{3}[/tex] c= -3  

c = 9

2a + 3(9) = 61

2a + 27 = 61

2a = 34

a = 17

PLZ Find a ratio equivalent to 9/10. Then use the ratios to write a proportion.
a 70/63 9/10=70/63
b 19/70 9/10=19/70
c 19/20 9/10=19/20
d 63/70 9/10=63/70

Answers

Answer:

63/70 = 9 : 10

Step-by-step explanation:

Given ratio:

9/10

a 70/63

= 10/9

= 10 : 9

b 19/70

= 19:70

c 19/20

= 19 : 20

d 63/70

= 9/10

= 9 : 10

The equivalent ratio to 9/10 = 63/70

= 9 : 10

Describe fully the graph which has equation x2 + y2 = 9

Answers

Answer:

The graph is a circle with a radius of 3 and a center of (0,0).

Step-by-step explanation:

Graph

The equation  x² + y² = 9 represents a circle with center (0, 0) and radius = 3

What is equation?

"It is a mathematical statement which consists of equal (=) symbol between two algebraic statements."

What is graph of a equation?

"It is a set of points (x, y) which satisfy given equation."

For given question,

We have been given an equation x² + y² = 9

The graph of above equation as shown below.

We know, the equation of the circle with center (0, 0) and radius 'r' is,          x² + y² = r²

We can write given equation as  x² + y² = 3²

Comparing given equation with x² + y² = r² we have r = 3 units

The graph of above equation represents a circle with center (0, 0) and radius = 3

Therefore, the equation  x² + y² = 9 represents a circle with center (0, 0) and radius = 3

Learn more graph of function here:

https://brainly.com/question/16957172

#SPJ2

Rudy rode a bike at the speed of 32 2/3 miles per 3 1/2 minutes. What is his speed in terms of miles per hours?

HELPPP

Answers

Answer:

[tex]32 \frac{2}{3 }miles- - - - 3 \frac{1}{ 2} minutes \\ \frac{98}{3} miles - - - - \frac{7}{2} minutes \\ \frac{2}{7} \times \frac{98}{3} miles - - - - 1minute \\ 60 \times \frac{2}{7} \times \frac{98}{3} miles - - - - 1 \: hour \\ 560 \: miles - - - - 1hour[/tex]

560 miles per hour
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