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.
Answers
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 = 4b) RQ is parallel to OP.
Parallel lines have equal slopes.
Find the slope of OP:
m = 5/4 = 1.25RQ 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 + 15c) The x-intercept is determined at y = 0:
0 = 1.25x + 151.25x = - 15x = - 15/1.15x = - 12Related Questions
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.
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
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:
509^6*78^8
HOW R YA'LL DOIN
Answers
Answer: Great U?
Have a great Day/Night
Gabrielle's age is two times Mikhail's age. The sum of their ages is 54. What is Mikhail's age?
Answers
Gabrielle is 36 years old.
18 * 2 = 36
and
18 + 36 = 54
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
You can get this by plugging each of the x values into the expression -x+4
Hope that helps
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
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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
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
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.
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
Need some help on this one as well haha, answer when you can:)
Answers
Answer:
250 dollars
Step-by-step explanation:
Can someone help me out with this?
Answers
Answer:
-7.5x -12.5, x < -17.5x +2.5, x ≥ -1Step-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]
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.
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 :)
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.
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 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
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:
165% of what number is 28
Answers
Answer:
i belive it is 46.2
Step-by-step explanation:
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.
Solve the division fact:
7 = 56 :
Answers
Answer:
the correct answer to the math problem is 8
Step-by-step explanation:
56÷8=7
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
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).
Pls solve I need this today
Answers
Answer:
25
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
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:
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 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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