please help me with math !!

the diagram shows two parallel lines OP and RQ. Straight line PQ is parallel to the y-axis and O is the origin.

a) Find the equation of the straight line PQ.
b) Find the equation of the straight line RQ.
c) Find the x-intercept of the straight line RQ.​

Please Help Me With Math !! The Diagram Shows Two Parallel Lines OP And RQ. Straight Line PQ Is Parallel

Answers

Answer 1

Answer:

a) x = 4b) y = 1.25x + 15c) (-12, 0)

Step-by-step explanation:

a) PQ is parallel to the y-axis and contains point (4, 5).

It means its equation is:

x = 4

b) RQ is parallel to OP.

Parallel lines have equal slopes.

Find the slope of OP:

m = 5/4 = 1.25

RQ has slope of 1.25 and passes through (- 8, 5).

Find its equation using point-slope form:

y - 5 = 1.25(x - (-8))y - 5 = 1.25x + 10y = 1.25x + 15

c) The x-intercept is determined at y = 0:

0 = 1.25x + 151.25x = - 15x = - 15/1.15x = - 12

Related Questions

An online T-shirt store is having a sale. The original price of each T-shirt is p dollars. The store sells 20 T-shirts and earns a total of (20p−60) dollars.

a. Factor the expression using the GCF.

20p−60=

b. The discount per T-shirt is $
. what is the discount

Answers

Answer:20 (p-3)

Step-by-step explanation:

At Store A, a game system sells for $150.The same system sells for $175 at Store B.Use a ratio to compare the price at Store A to the price at Store B.

Answers

Answer:

6:7

Step-by-step explanation:

=store A:store B

=150:175

=6:7

Name an angle adjacent to FGI
JGI

HGJ

DGE

HGE

Answers

Answer:<JGI

Explanation:

Any angle with the letter H can not be as it is on the opposite side. Leaving you with <JGI and <DGE. <DGE is beside angles DGF and angle EGH

Hope this helps.

The adjacent angle of the angle ∠FGI will be ∠JGI. Then the correct option is A.

What is an angle?

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

An angle is a structure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are on the plane where the rays are located.

Adjacent angle - In math, two points are nearby in the event that they have a typical side and a typical vertex.

From the figure, the contiguous point of the point ∠FGI will be ∠JGI. Then the right choice is A.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ2

Gabrielle's age is two times Mikhail's age. The sum of their ages is 54. What is Mikhail's age?

Answers

Mikhail is 18 years old.

Gabrielle is 36 years old.

18 * 2 = 36
and
18 + 36 = 54

This is a sketch of the curve with equation y = f(x).
The vertex of the curve is at (2, -3)
У
Х
(2, 3)
Write down the coordinates of the vertex of the curve with equation
a) f(x) + 5
b) –f(x)


help me please

Answers

Answer:

Below in bold.

Step-by-step explanation:

a) the curve moves up 5 units, so

the vertex is (2, -3 + 5)

= (2, 2).

b) - f(x) is the image of f(x) in the x-axis so

The vertex is at (2, 3).

The lengths of two organisms, P and Q. were recorded. Organism Pis
25 nanometers long and Organism Q is 2,500 picometers long. Which
organism has the greater length?

Answers

Answer:

  P

Step-by-step explanation:

The SI prefixes nano- and pico- stand for ...

  nano- = 10^-9

  pico- = 10^-12

2500 picometers is 2500·10^-12 = 2.5·10^-9 = 2.5 nanometers.

25 nanometers is greater than 2.5 nanometers, so is the greater length. Organism P has the greater length.

What is the number seven hundred thirty-one million, nine hundred thirty-four thousand, thirty written in a stranded form

Answers

Answer:

731,934,030

Step-by-step explanation:

hope this helps you

Answer:

731,934,030

Step-by-step explanation:

Hope it helps

Pls solve I need this today

Answers

Answer:

25

Step-by-step explanation:

A scale drawing of a house shows a closet with floor dimensions of 4.4 cm by 3.2cm. The scale from the drawing to the actual closet is 2cm for every 1m. WhT is the actual area of the closets floor

Answers

The actual area of the closet floor would be 3.52m

The actual area of the closet floor is 3.52m.

What is a rectangle?

A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees.

It has different lengths and widths.

We have,

Closet dimensions:

Length = 4.4 cm

Width = 3.2 cm

We need to convert the unit cm into meters.

We are given that,

2cm = 1m

Multiply 4.4/2 on both sides

4.4 cm = 4.4/2 x 1m

4.4 cm = 2.2 m

Length = 2.2m

Multiply 3.2/2 on both sides.

3.2 cm = 3.2/2 x 1m

3.2 cm = 1.6 m

Width = 1.6m

The actual area of the closet:

= length x width

= 2.2m x 1.6m

= 3.52m

Thus the actual area of the closet floor is 3.52m.

Learn more about rectangles here:

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The weight of each fountain pen manufactured in a factory must be 10g with a tolerance of 2g. Pens that are not within the tolerated weight must be thrown away. Write an inequality that can be used to assess which pens are tolerable (w is the weight of the pen)?

Answers

According to the information given, the absolute value inequality that can be used to assess which pens are tolerable is:

[tex]|w - 10| \leq 2[/tex]

The absolute value function measures the distance of a point to the origin, and is defined by:

[tex]|x| = x, x \geq 0[/tex][tex]|x| = -x, x < 0[/tex]

The weight must be of 10g, with a tolerance of 2g, which means that the absolute value of the difference between the weight w and 10g must be of at most 2g, hence the inequality is:

[tex]|w - 10| \leq 2[/tex]

To learn more about absolute value inequalities, you can take a look at https://brainly.com/question/24005819

How do I find the domain and range of this?

Answers

Step-by-step explanation:

identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Tommy bought one dozen donuts. He gave one-sixth of the donuts to his wife. He then gave one-fifth of the remaining donuts to his son. He took the rest to work. How many donuts did Tommy take to work?

Answers

Answer:

8

Step-by-step explanation:

1/6 of 12 is 2

12 - 2 = 10

1/5 of 10 is also 2

10 - 2 = 8

Tommy took 8 donuts to work.

pls help I really need it too pass I am begging

Answers

Answer:

Lateral : 103.67 in²

Total : 864 in²

Step-by-step explanation: there you go

Can someone help me out with this?

Answers

Answer:

-7.5x -12.5, x < -17.5x +2.5, x ≥ -1

Step-by-step explanation:

The absolute value function changes slope at its vertex. Here, that vertex is translated to x = -1. To the left of that point, the function is equivalent to one that negates its argument:

  |x| = -x . . . for x < 0

  |x| = x . . . for x ≥ 0

for (x+1) < 0

  y = -7.5(x +1) -5 = -7.5x -12.5

for (x+1) ≥ 0

  y = 7.5(x +1) -5 = 7.5x +2.5

This means we can write the piecewise function as ...

  [tex]y=\begin{cases}-7.5x-12.5,&\text{if }x<-1\\7.5x+2.5,&\text{if }x\ge-1\end{cases}[/tex]

Solve the following for :
60/3=x/4

Answers

Answer:

80

Step-by-step explanation:

60/3 becomes 20 and then it says equal to 1/4 x because x divided by 4 so we multiply by 4 to get 80

The function f(x)is graphed on the coordinate plane.

What is f(−2)?



Enter your answer in the box.

f(−2) =

Answers

Answer:

f(-2) = -2

Step-by-step explanation:

f(-2)  means find the y value when x = -2

The y value when x = -2 is-2

f(-2) = -2

165% of what number is 28

Answers

Answer:

i belive it is 46.2

Step-by-step explanation:

The closest whole number is 17 at 28.05

509^6*78^8

HOW R YA'LL DOIN

Answers

Answer: Great U?

Have a great Day/Night

Find the equation of line through (-15,9) with slope 4/5 in slope-intercept form.

Answers

Answer:

well, we know it is

y = -4 x + b

so all we need is b

5 = -4(9) + b

5 = -36 + b

b = 41

so

y = -4 x + 41

Part C
Does this curved line represent a function? If not, at what points does it fall the vertical line test?

Answers

Answer:

it is a function because it doesn't have multiple y values for each x value

Simplify the difference. (7w2 – 7w – 8) – (5w2 + 2w – 3)

Answers

Answer:

2w2-5w-11 just subtract the second set of numbers from the first but it has to be like terms such as anything that is squared would only be applicable to another term with that is squared. a term is any group of number separated by a plus or a minus but it is not a term if it is separated by a multiplication symbol or a division symbol

Answer:

2w^2 - 9w - 5

Step-by-step explanation:

I got it right in Grandpoint.

omg please help for brainlist !!!!!!!!!!!!!!!!!!!

Answers

Answer:

f(x) is linear

g(x) is exponential

Step-by-step explanation:

A linear function will always have the same rate of change between equally distant points, while an exponential function will have an increasingly large rate of change between equally distant points.

First, look at f(x). All these points are equally distant at 2 units apart on the x-axis, so they can be directly compared:

[tex](-38)-(-18)=-20\\(-58)-(-38)=-20\\(-78)-(-58)=-20[/tex]

All of these points are the same distance apart on the y, so f(x) must be a linear function.

Now look at g(x). These are also all equally distant at only 1 unit apart.

[tex]30-10=20\\90-30=60\\270-90=180[/tex]

These are very clearly not the same distance apart on the y, so g(x) must be the exponential function.

how would i plot this on a graph?

Answers

Answer:

(1, 4)

Step-by-step explanation:

im assuming that the point is h(1) = 4

this point is basically just h(x) = y

1 is your x

4 is your y

you plot it at the point (1, 4)

Solve.

−4.8x=−4

What is the solution to the equation?

Enter your answer as a simplified fraction in the box.

x =

Answers

-4.8x=-4

The simplified fraction is 5/6

How I solved it:

-4.8 = -24/5 in fraction form.

-24/5 × 5/6 = -120/30

-120/30= -4

Answer:

-4

Step-by-step explanation:

Need some help on this one as well haha, answer when you can:)​

Answers

Answer:

250 dollars

Step-by-step explanation:

Please help

Thank you

Answers

Answer:

m ∠JPN = 131°    

Step-by-step explanation:

m ∠JPL = m ∠MPK                         Vertical angles are =

7x + 19 = 11x -17                               Substitution  

- 4x =  -36                                      Algebra: Solving for x

   x = 9                                           Algebra: Solving for x

 m ∠JPL = 82°                              Substitution x = 9 into m ∠JPL = 7x +19

m ∠JPL + m ∠LPK = 180°             Definition of linear pair/supplement

                                                     angles = 180°

82° + m ∠LPK = 180°                      Substitution    

            m ∠LPK = 98°                     Algebra

m ∠LPK = m ∠LPN + m ∠NPK        Angle addition Theorem

       PN bisects ∠LPK                     Given    

m ∠LPN = m ∠NPK                          Definition of angle bisector

98 ° = 2 ( m ∠LPN)                           Substitution  

    m ∠LPN = 49°                             Algebra

m ∠JPN = m ∠JPL + m ∠LPN         Angle Addition

 m ∠JPN = 82° + 49°                     Substitution  

m ∠JPN = 131°                                 Addition    

Jax is proving that the base angles of an isosceles triangle are congruent. He joins a line from
the vertex point to the midpoint of the base, as shown.
Which statement is true?
A) Since AKLM is congruent to AKNM using SSS congruency, m_KLM = m_KNM.
B) Since AKLM is congruent to ANKM using SSS congruency, m_KLM = m_KNM.
C) Since AKLM is congruent to AKMN using SAS congruency, m_KLM = m_KMN.
D) Since AKLM is congruent to ANKM using SAS congruency, m_KLM = m_KNM.

Answers

Answer: there you go

Step-by-step explanation:

please please help for brainlist i beg !!!!!

Answers

Answer:

5(3)^(n-1)

a*b^n

5 is the second value (n-1), so a=5

the amount triples (*3) every minute, so b=3

D, or an = 5(3)^n-1, is correct!

Let’s break this down...

5 is the number of files that we have in the first minute. The 3 triples the 5. Since there is an exponent, the growth is exponential and will always triple the product before it.

Hope this helps :)

4. Find the range of f(x) = -x + 4 for the domain {-3, -2, -1, 1}.
O {7, 6, 5, 3}
O {-7, -6, -5, -4}
O {7, 6, 5,4}
O {-7, -6, -5, 3}

Answers

It’s this first one- 7,6,5,3
You can get this by plugging each of the x values into the expression -x+4
Hope that helps

Solve the division fact:
7 = 56 :

Answers

Answer:

the correct answer to the math problem is 8

Step-by-step explanation:

56÷8=7

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