What is the slope-intercept equation
for the following line?

What Is The Slope-intercept Equationfor The Following Line?

Answers

Answer 1

Answer:

y= 2x +7

Step-by-step explanation:


Related Questions

If cosec ∅ = √2, find the value of 1+sin²∅+cos²∅/1+sec²∅-tan²∅.​

Answers

Given: [tex]cosec[/tex] [tex]A[/tex]  [tex]=\sqrt{2}[/tex]

∴ [tex]A=\frac{\pi }{4} =45^{0}[/tex]

[tex]sin[/tex] [tex]A[/tex] [tex]=sin[/tex] [tex]45^{0}[/tex] = [tex]\frac{1}\sqrt{2}[/tex]

[tex]cot[/tex] [tex]A[/tex] [tex]=cot[/tex] [tex]45^{0}[/tex] [tex]=1,[/tex]

[tex]tan[/tex] [tex]A[/tex] [tex]=[/tex] [tex]tan[/tex] [tex]45^{0}[/tex] [tex]=1[/tex]

[tex]cos[/tex] [tex]A[/tex] [tex]=[/tex] [tex]cot[/tex] [tex]45^{0}[/tex] [tex]=\frac{1}{\sqrt{2} }[/tex]

∴ [tex]=2[/tex]

[tex]\large\underline{\sf{Solution-}}[/tex]

METHOD 1: Using Trigonometric values.

We have given that,

[tex]\sf\cosec\theta=\sqrt2[/tex]

So,

[tex]\sf\theta=45^{\circ}[/tex]

We need to find:

[tex]\sf\dfrac{1+\sin^2\theta+\cos^2\theta}{1+\sec^2\theta-\tan^2\theta}[/tex]

So,

[tex]\sf\longmapsto\dfrac{1+\sin^2(45^{\circ})+\cos^2(45^{\circ})}{1+\sec^2(45^{\circ})-\tan^2(45^{\circ})}[/tex]

[tex]\sf\longmapsto\dfrac{1+\left(\frac{1}{\sqrt2}\right)^2+\left(\frac{1}{\sqrt2}\right)^2}{1+(\sqrt2)^2-(1)^2}[/tex]

[tex]\sf\longmapsto\dfrac{1+\frac{1}{2}+\frac{1}{2}}{1+2-1}[/tex]

[tex]\sf\longmapsto\dfrac{1+1}{2}[/tex]

[tex]\sf\longmapsto\dfrac{2}{2}[/tex]

[tex]\sf\longmapsto\bf1[/tex]

METHOD 2: Using Trigonometric Identities

We need to find:

[tex]\implies\dfrac{1+\sin^2\theta+\cos^2\theta}{1+\sec^2\theta-\tan^2\theta}[/tex]

But, we know that,

[tex]\sf\red⇛ \sin^2\phi+\cos^2\phi=1[/tex]

And,

[tex]\sf\red⇛ \sec^2\phi-\tan^2\phi=1[/tex]

So,

[tex]\sf\longmapsto\dfrac{1+(\sin^2\theta+\cos^2\theta)}{1+(\sec^2\theta-\tan^2\theta)}[/tex]

[tex]\sf\longmapsto\dfrac{1+1}{1+1}[/tex]

[tex]\sf\longmapsto\dfrac{2}{2}[/tex]

[tex]\sf\longmapsto\bf1[/tex]

Therefore, by both methods the answer is 1.

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Similar questions

Prove that:

\cos( \frac{3\pi}{2} + \theta) \cos(2\pi + \theta) [ \cot( \frac{3\pi}{2} - \theta) + \cot(2\pi + \theta) ] = 1...

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Sarah has $31,000 in a savings account. The interest rate is 8% per year. How much simple interest will she earn in 5 years?

Answers

Answer:

$12,400

Step-by-step explanation:

Interest = Principal x Rate x Time (in years)

I = 31000 x .08 x 5

I = 12,400

A student from last year got an answer of 36 when asked to simplify the expression below. Identify the student’s mistake? Then solve it correctly.

`2+10\ \times\ 3`

Answers

2 + 10 x 3 ≠ 36
you have to do the multiplication first.
= 2 + (10 x 3)
= 2 + 30
= 32

Use the number line to help you decide which statement is true.
(A)
(B)
(C)

Answers

Answer:

I think it's (A). 5

I don't know

Answer:

5/8 > 1/2

Step-by-step explanation:

No need number line. Just use fraction walls

Match the pairs of equivalent expressions.

Answers

i would say y + 2/5y is the equivalent expression of 7/5y and y - 2/5y is the quivalent expression of 3/5y but im not sure

four more than the quotient of a number and six. write in algebraic expression

Answers

Answer:

4+n/6 (the slash means a fraction with n on top.) <3

Step-by-step explanation:

Here's a question ~

can anyone give the explanation ?​

Answers

Answer:

See below

Step-by-step explanation:

As per the question we have:

The y - intercept is b = -1The slope has same angle with x- and y - axis.

This can be a function with the slope of m = 1 or m = - 1 as these lines must be perpendicular to each other and make 90°/2 = 45° or 45° + 90° = 135° angle with the x- or y- axis.

So the lines could be:

y = x - 1 ory = -x - 1

Lines must be perpendicular to each other as they are cutting at y intercept -1

Slope intercept form of line

for slope -1

y=-x-1

For slope 1

y=x-1

ive answered a and b but struggling to answer c. how do you work it out?

Answers

Answer:

-2, 1.5

Step-by-step explanation:

(y1 + y2)/2 = y midpoint formula

so, (-1 + 4) = 3

3 / 2 = 1.5

y = 1.5

Step-by-step explanation:

To find the midpoint:

Use the formula;

d = (x2 + x1)/2, (y2 + y1)/2 where x2 = -2, x1 = -2, y1 = -1, y2 = 4

Substitute the values into the equation above. This gives;

d = (-2 + -2)/2, (4 + -1)/2

= (-4/2), (3/2)

=(-2, 1.5) <<<<<<< Ans

I hope this helps. Thank you

hello
Michael cycled 15 km at an average speed of 18 km/h.
How many minutes did his journey take?

Answers

Answer:

50 minutes

Step-by-step explanation:

Amount of time his journey took = 15km ÷ 18km/h

                                                      = 0.833h (to 3sf)

                                                      = 50 minutes

What is the value of 2.3+8−12?

1.) 10.8

2.) 10.3

3.) 9.8

4.) 9.5

Answers

Answer:

2

Step-by-step explanation:

to answer this algebraic question use BDMAS rule

first solve bracket then division, multiplication,addition then subtraction.

6+8-12

14-12

2

Answer:

9.8

Step-by-step explanation:

convert your decimal into a fraction so 2.3= 23/10

23/10 + 8 - 1/2

then calculate your sum or difference

leaving you with

49/5

meaning your answer is

9.8

hoose the statement that describes its
solution.
3(x + 8) - 9x = 6(4- x)
O There is no solution.
оо
There is only one solution.
ws
о
All real numbers are solutions.

Answers

Answer:

3rd option

Step-by-step explanation:

3(x + 8) - 9x = 6(4 - x) ← distribute parenthesis on both sides

3x + 24 - 9x = 24 - 6x , collect like terms on left side )

24 - 6x = 24 - 6x

Since both sides are the same then any value of x will make the equation true.

That is all real numbers are solutions

Answer: C g(x) is a function because f(x) is one-to-one.

Step-by-step explanation:

identify the errors made in finding the inverse of y = x2 + 12x. An image shows a student's work. Line 1 is x = y squared + 12 x. Line 2 is y squared = x minus 12 x. Line 3 is y squared = negative 11 x. Line 4 is y = Start Root negative 11x End Root, for x greater-than-or-equal 0.

Answers

Answer:  Line 1 should be  x = y² + 12y  NOT (x = y² + 12 x)

Step-by-step explanation:

solving for the inverse of y = x² + 12x

Line 1:    x = y² + 12 x.      

Line 2    y² = x - 12 x.  

Line 3 is y²= - 11 x.

Line 4 is y = √(- 11x)  for x ≥ 0.

The error lies in Line 1. All x's have to be switched with y's and vice versa for the method to work.

As such Line 1 should be  x = y² + 12y  NOT (x = y² + 12 x)

Since Line one is wrong, it messes with all the other lines.

a new car increased in price from 78200 to 136850 what is the percentage increase

Answers

Answer:

The percentage increase is by 1.75

Step-by-step explanation:

78,200 x 1.75 = 136,850

Which equation has only one unique solution?

A.
|3 − x| = 3
B.
|x − 2| − 7 = 7
C.
-4|x| + 1 = -3
D.
9 − |2x − 1| = 9

Answers

The equation with only one unique solution is 9 − |2x − 1| = 9, with the solution x = 1/2. D.

To determine which equation has only one unique solution, let's analyze each equation:

|3 − x| = 3

In this equation, the absolute value term represents a distance.

By setting up two cases, where the absolute value is positive and negative, we can find the solutions.

Case 1:

3 - x = 3

Solving for x, we have x = 0.

Case 2:

x - 3 = 3

Solving for x, we have x = 6.

Thus, this equation has two solutions.

|x − 2| − 7 = 7

Similar to equation A, the absolute value term represents a distance.

By adding 7 to both sides, we have |x - 2| = 14.

This equation implies that the distance between x and 2 is 14.

There are two possible values for x: x = 2 + 14 = 16 and x = 2 - 14 = -12.

This equation has two solutions.

-4|x| + 1 = -3

To solve this equation, we isolate the absolute value term:

-4|x| = -4

Dividing both sides by -4:

|x| = 1

The absolute value of any number is always positive or zero.

The equation |x| = 1 has two solutions: x = 1 and x = -1.

9 − |2x − 1| = 9

The absolute value term represents a distance.

Subtracting 9 from both sides, we have |2x - 1| = 0.

The only way the absolute value of a real number can be equal to zero is if the number inside the absolute value is zero.

Thus, we set 2x - 1 = 0 and solve for x:

2x - 1 = 0

2x = 1

x = 1/2

Equation D has only one unique solution: x = 1/2.

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Consider the system of equations.

y=3x−2−7x−2y=−9
Solve the system of equations algebraically.

Answers

Answer:

(x, y) = (-5/13, -41/13)

Step-by-step explanation: (Assuming the following corrections:)

y = 3x-2

-7x-2y = 9

-7x-2(3x-2) = 9

-7x-6x+4 = 9

-13x = 5

x = -5/13

y = -5/13(3) - 2

y = -15/13 - 2 = -41/13

In the equation x + 10 = 22, what do you need to do to solve the problem ?

Answers

Just move 10 other side
X= 22-10 = 12
It called Substract propertie

Answer:

In the given equation we need to find out the value of x to make this equation true.

First write the equationx+10 = 22Now place 10 to the other side[By placing 10 to the other side the symbol will change into -]x = 22-10Now subtract 10 from 22x = 12∴ 12 + 10 = 22


What is the coefficient of the term of degree 4 in the polynomial?
6x3 + 2x - 5x3 + x²

Answers

the coefficient of term 4 is 2

given r||s, what is the measure of <1 ?

Answers

Step-by-step explanation:

post the full question

hope this helps you.

Choose the correct answer​

Answers

Answer:

b) 50 degrees

Step-by-step explanation:

I'm not sure if it 100% correct but this is what i remember:

BCE is a straight line and a straight line is equal to 180 degrees.

If AB=AC then the angle of both those corners will be 180-115

which equals to 65 degrees (both angles)

Now because all corners of a triangle add up to 180

you can do 180-65-65 which is 180-130

this equals to the angle BAC which is 50 degrees

tbh ive fogotten how to do all of these so plz helpppppppppp

Answers

Answer:

16.26°

Step-by-step explanation:

Start by labelling the given sides of a triangle as either adjacent, opposite or hypotenuse side.

• Adjacent side: side on which the right angle and angle of interest lie

• Opposite side: side facing the angle of interest

• Hypotenuse side: side facing the right angle

In this case, the side with '24' is the adjacent side while the side with '7' is the opposite side.

Given these two sides, we use tangent to find the unknown angle.

[tex]\boxed{ \tanθ = \frac{opp}{adj} }[/tex]

[tex] \tanθ = \frac{7}{24} [/tex]

Tasking the inverse of tangent on both sides:

[tex]θ = \tan^{ - 1} ( \frac{7}{24} ) [/tex]

θ= 16.260° (3 d.p.)

Thus, the second option is correct.

Notes:

[tex]\boxed{ \sinθ = \frac{opp}{hyp} }[/tex]

[tex]\boxed{ \cosθ = \frac{adj}{hyp} }[/tex]

Nadia says figure A id dilated to form figure A' using a scale factor of 2 and point B as the center of dilation. What mistake did Nadia make? What is the correct scale factor?

Answers

Answer:

Nadia says figure A is dilated to form figure A9 using a scale factor of 2 and point B as the center of dilation. What mistake did Nadia make? What is the correct scale factor?

Step-by-step explanation:

Can someone help please

Answers

i think it’s 146 irdk
The angle G and the angle 34 are alternate exterior angles. The alternate exterior angle there on tells us that these angles are congruent(the same measure). Which means angle G = 34. The answer is A

can someone please help me as soon as possible​

Answers

Answer:

a quadratic function is letter A

Colleen divided integer a by −2 and got 9. Then she divided 9 by integer b and got −3. Find the quotient of integer a and integer b.


a
b
= 6

Answers

Answer:

hen she divided 9 by integer b and got −3. Find. Colleen divided integer a by −5 and got 9. Then she divided 9 by integer b and got −3. Find the quotient of integer a and integer b. a b = Categories Uncategorized. Leave a Reply Cancel reply. Your email address will not be published.

Step-by-step explanation:

Directions: Solve each of the following problems. Show your solution. (5 points each)

1. Bailey’s rectangular dog pen for his Irish setter must have an area of 400 square feet.
Also ,the length must be 10 feet longer than the width. Find the dimension of the pen.

Answers

Answer:

400=(×+20)× is the equation or

400=×^2+20×

(×+10)= square root of 500

×+10=10 radical 5

final answer -10 + or - 10 radical 5=×

Someone help plz make sure it’s right will make brainiest:)

Answers

Answer:

it's ether 1 or 2

cuz the slope is 1/3

Answer:

It is 2

Step-by-step explanation:

Which is y=1/3x + 10/3

will mark brainliest ​

Answers

Answer:

115

Step-by-step explanation:

In triangles ABC and AWXY, ZA= Wand ZB= ZX.
Which of the following must to be true to prove AABC= AWXY by the AAS
theorem?
A. ZCZY
B. BC XY
O
C. AB BC
D. ABW

Answers

Answer:

c

Step-by-step explanation:

The solution is, C. AB = WX, must to be true to prove AABC= AWXY by the AAS theorem.

What is Triangle?

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

here, we have,

We are given,

Triangles ABC and WXY having ∠A=∠W and ∠B=∠X

Now, it is give that the triangles hold AAS theorem.

Since, we already have two corresponding angles equal i.e. ∠A=∠W and ∠B=∠X.

So, by AAS Theorem, the corresponding sides between these angles must be  equal.

Thus, we have, AB = WX.

Hence, option C is correct. C. AB = WX, must to be true to prove AABC= AWXY by the AAS theorem.

Learn more about Triangle congruency click here:

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Chris
goes to a shop to buy meat, vegetables and fruit.
(a) The costs of the meat, vegetables and fruit are in the ratio
meat : vegetables : fruit = 2:2:3.
The cost of the meat is $2.40.
Calculate the total cost of the meat, vegetables and fruit.

Answers

Answer:

meat = $2.40

vegetables = $ 2.40

fruit = $2.40 + X

= 2.40 ÷ 2

= 1.2

therefore 2.40 + 1.2

=$3.6 (For fruits )

= $3.6 + $2.40 + $2.40

= $ 8.4

Hope this helps .Plzz mark me brainliest

The total cost of the meat, vegetables and fruit is $8.4.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, the costs of the meat, vegetables and fruit are in the ratio meat : vegetables : fruit = 2:2:3.

The cost of the meat is $2.40.

Let the total cost of the meat, vegetables and fruit be x.

Now, 2+2+3=7

So, 2/7 ×x=2.40

2x=2.40×7

2x=16.8

x=8.4

Therefore, the total cost of the meat, vegetables and fruit is $8.4.

To learn more about the ratio visit:

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so far , a storm has traveled 35 miles in 1/2 hour. if its currently 5:00pm and the storm is 105 miles away from you , at what time will the storm reach you ? explain your answer

Answers

Answer:

hey do you want money if yes then tell me I will give you 1000$

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