What is the equation of the line that is parallel to the
given line and passes through the point (-3, 2)?
3x - 4y = -17
3x - 4y = -20
4x + 3y = -2
4x + 3y =-6
Answers
Step-by-step explanation:
Let, the given point of the equation of the line are (3,-1) and (0,3) i.e
(x1,y1)=(3,-1) and (x2,y2) = (0,3)
Now,
The slope of the line (m1) = y2-y1 ÷ x2-x1
= 3-(-1) ÷ 0-3
= 3+1 ÷ -3
= 4/-3
since, the lines are parallel i.e.
m1 = m2
or, m2 = -4/3
Again,
The required equation of the line passing through the point (-3,2)=(x1,y2) is
y-y1 = m2(x-x1)
or, y-2 = -4/3 ( x +3)
or, 3(y-2) = -4(x+3)
or, 3y-6 = -4x - 12
or, 4x+3y = -12+6
Therefore, 4x+3y = -6 is the right answer.
Related Questions
A 2-column table with 6 rows. The first column is labeled t with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 12, m, 4, 0, negative 4, negative 2. If the table of the function contains exactly two potential turning points, one with an input value of –1, which statement best describes all possible values of m? m ≥ –12 –12 < m < 4 m ≤ 4 m ≥ 4 or m ≤ –12
Answers
Answer:
B
Step-by-step explanation:
right on edg3
What is the value of p?
Answers
Answer:
p =43
Step-by-step explanation:
Finding the angle in a triangle
The angle next to 133, angle a, is 180-133 = 47 because the angles form a straight line
The angle next to 90, angle b, is 180-90 = 90, because the angles form a straight line
We have a triangle. The angles in a triangle equal 180 degrees
a+b+ p =180
47+90+p = 180
137 + p = 180
p = 180-137
p =43
HELP ANGJHHGG plssssssssssssssssssfghgg
Answers
Answer:
5377
Step-by-step explanation:
this is a vector question where how far is the Resultant. that is, it is determined by the magnitude of the Hypotenuse.
using Pythagoras theorem
Hypotenuse ²= Opposite ²+Adjacent²
Hypotenuse ²= 2865²+4550²
Hypotenuse ²= 8208225+20702500
Hypotenuse ²=28910725
Hypotenuse=√28910725
Hypotenuse=5376.86944234282
Hypotenuse= 5377 approximated
Which relation is a function?
{(-4,-7), (-9, 5), (4, -2), (-9, 0)}
{(-7, -7), (-2, 5), (−1, 6), (-2, −5)}
{(0, 1), (3, 2), (5, -3), (0, 2)}
{(-3, -2), (-1, 3), (0, -2), (3, 4)}
Answers
Answer:
Here's a little trick I learned in 8th grade. The first numbers don't matter all that matters are the 2nd numbers, and if you have 2 of the same kind of numbers then it's not a function so your answer would be B.
Determine the x-intercept of the following equation.
(-x-2)(x-3)=y
Answers
Answer:
3,-2
Step-by-step explanation:
set y =0 and solve
(-x-2)(x-3)=0
the values 3, -2 solve the equation and are your x-intercepts
Please help thank you
Answers
Answer:
Line A: 4
Line B: -2
Step-by-step explanation:
Line A
Pick any two points from the graph such as (2, -1) and (3, 3)
Use the gradient formula to calculate the gradient:
Change in y/change in x
-1 -3/2-3 = -4/-1 = 4
The gradient of line A is 4
Line B
(1, -1) and (0, 1)
-1 - 1/1 - 0 = -2/1 = -2
The gradient of line B is -2
Answer:
Line A is 4.
Line B is -2.
Step-by-step explanation:
See attached image
In which part of the graph is the distance from home decreasing?
Answers
Answer:
A) 2
Step-by-step explanation:
Because the slope is negative of line 2 the distance is getting smaller
What is the value of y?
Answers
Answer:
y
Step-by-step explanation:
the value of y may be y or on the alphabetic order 25th
Solve for x
3x² - 5x + 6 = 10 - 4x
Answers
Answer: [tex]-1, \frac{4}{3}[/tex]
Step-by-step explanation:
[tex]3x^{2}-5x+6=10-4x\\\\3x^{2}-x-4=0\\ \\ (x+1)(3x-4)=0 \\ \\ x=\boxed{-1, \frac{4}{3}}[/tex]
Answer:
x = -1
x = 4/3
Step-by-step explanation:
Hello!
First, let's convert the equation into Standard Form: [tex]ax^2 + bx + c = 0[/tex]
[tex]3x^2 - 5x + 6 = 10 - 4x[/tex][tex]3x^2 - x - 4 = 0[/tex]We can solve this by factoring the quadratic. We have to find two numbers that multiply to [tex]ac[/tex] but add up to [tex]b[/tex].
ac = -12b = -1The two numbers would be -4 and 3. We can expand -x to -4x + 3x, and then factor by grouping.
Factor[tex]3x^2 - x - 4 = 0[/tex][tex]3x^2 +3x - 4x - 4 = 0[/tex][tex]3x(x + 1) - 4(x + 1) = 0[/tex][tex](3x - 4)(x + 1) = 0[/tex]Use the Zero Product Property. Set each factor to zero and solve for x.
3x - 4 = 03x = 4x = 4/3x + 1 = 0x = -1The solutions to the quadratic are -1 and 4/3.
Find the lengths of sides marked with variables (x, y, w, z). Show all work
Answers
Answer:
1) 19.07 m, 2) 80.10 ft, 3) 56.79 mStep-by-step explanation:
Use trigonometry to solve for unknowns.
1) Use sinesine = opposite leg / hypotenusesin 27° = x/42x = 42 sin 27°x = 19.07 m (rounded)2) Use tangenttangent = opposite leg / adjacent legtan 23° = 34/xx = 34 / tan 23°x = 80.10 ft3) Use cosinecosine = adjacent leg / hypotenusecos 48° = 38/xx = 38 / cos 48° x = 56.79 m (rounded)#1
sin27=x/42x=42sin27x=19.07m#2
tan23=34/xx=34/tan23x=80.1ft#3
cos48=38/xx=38/cos48x=56.79mIts math please help
Answers
Answer:
g
Step-by-step explanation:
for this function, we put in the value of "g" (because it is the cause of the function--it is the independent variable [it changes; and it doesn't rely on something else to change] )
so, because the part independently changing is the gas used, that is our input of this graph.
(you can imagine this to be a graph, which typically has the independent variable that we are directly changing--x--along the x-axis, which is where we would place g.)
hope this helps!!
Imagina that the cook is using a potato-chopping machine instead of a knife, allowing him to chop a maximum of 120 potatoes instead of 100. Which is the best estimate of the number of hamburgers he could cook if he chopped 100 potatoes with the machine
Answers
The number of hamburgers he could cook is 14 if he chopped 100 potatoes with the machine option (B) is correct.
What is the graph of the best estimate?A mathematical notion called the graph of the best estimate connects points spread throughout a graph.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have shown a graph in the picture that shows the number of hamburgers cooked versus the number of potatoes chopped.
As we can see in the graph,
Number of potatoes chopped = 80
number of hamburgers cooked = 30
Number of potatoes chopped = 90
number of hamburgers cooked = 20
Number of potatoes chopped = 95
number of hamburgers cooked = 10
Number of potatoes chopped = 100
number of hamburgers cooked = 14 (best estimate)
Thus, the number of hamburgers he could cook is 14 if he chopped 100 potatoes with the machine option (B) is correct.
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Function h is a transformation of the parent exponential function. Which statement is true about this function?
As x approaches positive infinity, approaches 0.
As x approaches negative infinity, approaches positive infinity.
As x approaches positive infinity, approaches positive infinity.
As x approaches negative infinity, approaches negative infinity.
Answers
The statement that is true about this function is C. As x approaches positive infinity, h(t) approaches positive infinity
Calculations and Parameters
Given that we have:
The domainThe rangeThe functionTherefore, when x approaches to negative infinity,
[tex]\lim_{x \to \infty} h(x)[/tex]
= 2^(-∞-5)
= 2^(-∞)
= 1/2^∞
=0
Also, as x approaches negative infinity, function h(x) approaches 0.
Then when x approaches to positive infinity,
[tex]\lim_{x \to \infty} h(x)[/tex]
2^(∞-5)
= 2^(∞)
= ∞
Therefore, As x approaches positive Infinity, h(x) approaches positive infinity.
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Select the correct answer.
Edwin graphs the relationship of the gallons of milk he buys in terms of dollars.
Answers
Jej pls help someone didnt get right b4 i give 50 points
Answers
Answer:
Mixed Number: 11 1/5
Improper Fraction: 56/5
Step-by-step explanation:
Given:
It takes 3/7 tonnes of sand to make a tonne of concrete.
Mason has 4 4/5 tonnes of sand.
To Find:
How much concrete, in tonnes, can he make?
Give your answer as a fraction in its simplest form.
Solve:
By the given , takes 3/7 tonnes of sand = tonne of concrete.
Thus, we divide the total of tonnes of sand Mason have by how many it takes to make a tonne of concrete.
Hence, we have;
[tex]4\frac{4}{5}\div \frac{3}{7}[/tex]
Convert to improper fraction;
[tex]=\frac{24}{5}\div \frac{3}{7}[/tex]
Using the fraction rule;
[tex]\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]
[tex]=\frac{24}{5}\times \frac{7}{3}[/tex]
Cross-cancel common factor - 3
[tex]=\frac{8}{5}\times \frac{7}{1}[/tex]
Multiply fraction:
[tex]=\frac{56}{5}[/tex]
Convert improper to mixed number:
[tex]=11\frac{1}{5}[/tex]
Hence, the answer is [tex]\mathrm{11\frac{1}{5}\;or\;\frac{56}{5} }[/tex]
RevyBreeze
Answer:
[tex]\rm Improper \ fraction : \sf \sf \dfrac{56}{5} \ of \ concrete[/tex]
[tex]\rm Mixed \ fraction: \sf 11\dfrac{1}{5} \ of \ concrete[/tex]
Explanation:
[tex]\sf concrete = total \ tones \ of \ sand \ \div \ unit \ rate \ of \ sands \ required \ to \ make \ concrete[/tex]
Here given:
total tones of sand = 4 4/5unit rate of sand required = 3/7Concrete:
[tex]\sf \rightarrow 4\dfrac{4}{5} \div \dfrac{3}{7}[/tex]
[tex]\rightarrow \sf \dfrac{24}{5}\div \dfrac{3}{7}[/tex]
[tex]\rightarrow \sf \dfrac{24}{5}\times \dfrac{7}{3}[/tex]
[tex]\rightarrow \sf \dfrac{56}{5}[/tex]
[tex]\rightarrow \sf 11\dfrac{1}{5}[/tex]
Please find x! These are probably simple! ASAP pls! 2 problems!
1) 3 + x + (-7) ; x = 6
2) x + (-5) + 5; x = -3
17 points:)
Answers
The numeric values of the given expressions are given as follows:
1) 2.
2) -3.
How to find the numeric value of an expression?We find the numeric value of an expression replacing all instances of x by the number.
The expression 1 is:
3 + x + (-7) = 3 + x - 7 = x - 4.
When x = 6, the value is:
x - 4 = 6 - 4 = 2.
The expression 2 is:
x + (-5) + 5 = x - 5 + 5 = x.
Hence, when x = -3, the value is:
x = -3.
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Which of the following could be the equation of the function below?
y = -3 sin (2 (x + pi)) + 2
y = -3 sine (x + pi) + 2
y = 3 sin (4 (x - pi)) + 4
y = 3 sin (2 (x + pi)) + 2
Answers
The equation of the sine function will be y = -3 sin [2(x + π)] + 2. Then the correct option is A.
What is a sinusoidal Function?It is a function that repeats itself in a particular time interval.
The equation is given as
y = A sin (ωx + Ф) + C
Where A is the amplitude, ω is the frequency, Ф is the phase difference, and C is the constant.
From the graph, we have
A = -3
ω = 2
Ф = 2π
C = 2
Then we have the equation will be
y = -3 sin [2(x + π)] + 2
Then the correct option is A.
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measurements are made on a raingauge at
Answers
Step-by-step explanation:
Most standard rain gauges have a wide funnel leading into the cylinder and are calibrated so that one-tenth of an inch of rain measures one inch when it collects inside.
help its timed 12 pts
Answers
Answer:
A
Step-by-step explanation:
I think your right!
Answer:
B
Step-by-step explanation:
I think it means the roots, at which the line crosses the x-axis, in which case, the answer is B, 0 and 1.4
cos2pi/7+cos4pi/7+cos8pi/7=1/8
Answers
An equation is formed of two equal expressions. The given equation is not true.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The complete question is: Check whether the given equation is true or not?cos2pi/7+cos4pi/7+cos8pi/7=1/8.
To know if the given equation, [tex]cos\dfrac{2\pi}{7}+cos\dfrac{4\pi}{7}+cos\dfrac{8\pi}{7}=\dfrac18[/tex] is true or not, both the sides of the equation are needed to be solved separately.
The value of [tex]cos\dfrac{2\pi}{7}+cos\dfrac{4\pi}{7}+cos\dfrac{8\pi}{7}[/tex] when simplified is equal to -0.5, or the value can be written as -(1/2).
Since the right side of the equation is equal to -1/2, while the right side of the equation is 1/8. Thus, the given equation is not true.
Hence, the given equation is not true.
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Find the equivalent exponential expression. (5^5)^4
Answers
Answer:
5^20
Step-by-step explanation:
since you have brackets around (5^5) you can multiply the exponents. if you think about it what you're essentially doing is
(5 * 5 * 5 * 5 * 5) * (5 * 5 * 5 * 5 * 5) * (5 * 5 * 5 * 5 * 5) *
(5 * 5 * 5 * 5 * 5)
which is why you can multiply the exponents to simplify
there are 48 students on the school bus, 28 girls and 20 boys. what is the ratio to girls to boys on the school bus?
A. 5:7
B. 7:5
C. 3:4
Answers
Answer:
eather a 5:7 or c 3:4
Step-by-step explanation:
i rlly do hope this helps and good luck
Step-by-Step Solution:
No. Of Boys = 20
No. Of Girls = 28
Total No. Of Students = 48
Ratio of Girls to Boys
= 28/20
= 14/10
= 7/5
=> 7:5
Correct Option is C) 7:5
If a polygon has an area of 25cm and is dilated by a factor of 3, what will be the area of the dilated polygon?
Answers
Answer:
225 cm²
Step-by-step explanation:
dilatation factor = 3 , then
area factor = 3² = 9
the area of the dilated polygon is then 9 times the area of the original so
area of dilated polygon = 9 × 25 = 225 cm²
In studies that use more than one data collector, how is the consistency of the data evaluated?.
Answers
In order to evaluate consistency in studies with more than one data collector, the Inter-rater reliability is used.
What is the Inter-rater reliability?This is a measure in research that is used to test the data presented by different data collectors, for consistency.
It essentially checks the extent to which the data collected from the different sources agree with each other.
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Mr. Browner has 7 keys. He has 1 key
for his home, 2 keys for his car, and
the rest are for drawers in his office.
If Mr.
Browner picks one of his keys
without looking, what is the probability
it is for his car?
Options: 1/7, 2/7, 3/7, 5/7, 6/7
Answers
Answer:
2/7
Step-by-step explanation:
there are 7 total possibilities for the keys he picks, and out of those possibilities, 2 of them are car keys. this means the probability that it is for his car is 2/7.
[tex]\huge\mathscr\color{gold}\colorbox{black}{ANSWER:}[/tex]
[tex]{\qquad\qquad\qquad}[/tex]
You can choose Options: 2/7
[tex]__________________________________[/tex]
[tex]\large\mathcal\color{gold}\colorbox{black}{STEP-BY-STEP\: EXPLANATION:}[/tex]
[tex]{\qquad\qquad\qquad}[/tex]
Will i can choose 2/7 because 7 is probability keys he picks, and 2 keys he picks for looking a drawers in office to finding.
[tex]__________________________________[/tex]
Hope it helps Correct me if I'm wrong[tex]__________________________________[/tex]
[tex]\normalsize\color{brown}\boxed{☕TheQuestionner☕}[/tex]
Which quadratic equation is equivalent to (x-4)2-(x-4) - 6 = 0?
Answers
Answer:
x=4
Step-by-step explanation:
2x-8-x+4-6=0
or,2x-x-8+4=0
or,x-4=0
or,x=0+4
•°•x=4
ans
Answer:
x = 2 or 7
Step-by-step explanation:
(x-4)² - (x-4) - 6 = 0
x²-8x+16-x+4 -6 = 0
x²-9x+14 = 0
(x-2)(x-7) = 0
∴x = 2 or 7
If s(x) = 2 – x² and t(x) = 3x, which value is equivalent to (sof)(-7)?
-439
-141
153
443
Answers
Answer:
- 439
Step-by-step explanation:
evaluate f(- 7) and substitute the value obtained into s(x)
f(- 7) = 3(- 7) = - 21 , then
s(- 21) = 2 - (- 21)² = 2 - 441 = - 439
Answer:
A. (s*t)(-7)=-439
Step-by-step explanation:
(s*t)(-7) is the same as s(t(-7)). First find t(-7)
t(-7)=3(-7)=-21
t(-7)=-21
Plug -21 into s(t(-7)) for t(-7).
Find s(-21).
s(-21)=2-(-21)^2=-441+2=-439
Hope this helps!
If not, I am sorry.
If function g has the factors (x - 7) and (x + 6), what are the zeros of function g?
Answers
When a given function is written with factors in the form of ( x - r ), then r is a zero of the function.
Solving the QuestionWe're given:
Function g has factors (x-7) and (x+6)Therefore, the zeros of the function are 7 and -6.
Answer-6, 7
The zeroes of the function will be equal to ( 7, -6 ).
What is a quadratic equation?
It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given function:-
( x- 7 ) ( x+ 6 )As we can see that the quadratic equation in the factorized form is ( x - 7 ) ( x+ 6 ) so we will equate each factor to zero.
( x- 7 ) = 0
x = 7
( x+ 6 ) = 0
x = -6
Therefore zeroes of the function will be equal to ( 7, -6 ).
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what is the area of the triangle formed from (0,1), (0,4), and (4,1)?
Answers
Answer:
6 square units
Step-by-step explanation:
base = 4 units
height = 3 units
[tex]\sf \boxed{\bf Area \ of \ triangle = \dfrac{1}{2}*base*height}[/tex]
[tex]\sf =\dfrac{1}{2}*4*3\\\\ = 2*3\\\\ = 6 \ square units[/tex]
[tex]\Large❏ \: \large\begin{gathered} {\underline{\boxed{ \rm {\blue{Area \: of \: triangle \: = \: \frac{1}{2} \: \times \: Base \: × \: Height }}}}}\end{gathered}[/tex]
[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: \frac{1}{2} \: \times \: Base \: × \: Height [/tex]
[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: \frac{1}{2} \: \times \: 4 \: × \: 3 [/tex]
[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: \frac{1}{ \cancel2} \: \times \: \cancel{4} \: ^{\green2} \: × \: 3 [/tex]
[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: 2 \: \times \: 3[/tex]
[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: 6[/tex]
Hence , the area of triangle is 6 units.
What quadrant is the point (2, -5) in?
Answers
Answer:
quadrant 4
Step-by-step explanation:
(2,-5) would be in the 4th quadrant