does anyone know how to solve and find out the answer? Thank you so much if you help!
Answers
Answer:
perpendicular
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{2}{3}[/tex] x + 5 ← is in slope- intercept form
with slope m = - [tex]\frac{2}{3}[/tex]
3x - 2y = 4 ( subtract 3x from both sides )
- 2y = - 3x + 4 ( divide through by - 2 )
y = [tex]\frac{3}{2}[/tex] x - 2 ← in slope- intercept form
with slope m = [tex]\frac{3}{2}[/tex]
• Parallel lines have equal slopes.
clearly the slopes are not equal, so not parallel.
• the product of the slopes of perpendicular lines = - 1
- [tex]\frac{2}{3}[/tex] × [tex]\frac{3}{2}[/tex] = - 1
then the lines are perpendicular to each other.
Answer:
The lines are perpendicular.
Step-by-step explanation:
[tex]3x -2y=4[/tex]
Step 1: Add -3x to both sides.
[tex]3x-2y+-3x=4+-3x[/tex]
[tex]-2y=-3x+4[/tex]
Step 2: Divide both sides by -2.
[tex]\frac{-2y}{-2} =\frac{-3x+4}{-2}[/tex]
[tex]y=\frac{3}{2} x-2[/tex]
Finally...
[tex]y=\frac{3}{2} x-2\neq y=-\frac{2}{3} x+5[/tex] so the lines are not parallel.
However, [tex]\frac{3}{2}[/tex] is the opposite reciprocal of [tex]-\frac{2}{3}[/tex], so, the lines are perpendicular.
(You can also try drawing the lines.)
Related Questions
Helpppppppppppppppppppppppp
Answers
the actual amount is 78000 dollar
Step-by-step explanation:
one pack cigarettes cost 25 dollar
3 pack cigarettes costs 75 dollar
20 years × 52 =1040
1040 weeks
1040 × 75 dollar
78000 dollar
this graph shows the height of a tree over a 5 year growing peroid calculate the rate of change of height per year
Need explanation on how to solve ASAP
Answers
Answer: It jupes by 2 each year the rate is 2 to 1 year
Step-by-step explanation:
In zero years it alretey 1m so we can go to 1 where its 3 it juped by two more
Help me please!! due at 8pm tonight 10/12/22
Answers
Answer:
y=3x+3
Step-by-step explanation:
Use rise/run
Answer:
y=-9x+5
Step-by-step explanation:
Find x of the triangle
Answers
Answer: The answer is 20°
Step-by-step explanation:
I think it’s 20° but I’m only in the 6th grade and I got my 180 ruler for this into the screen
The quadratic equation [tex]( k - 1 )x^{2} + 2x + ( 2k - 3 ) = 0[/tex] , where k is R, has real distinct roots.
Find the range of possible values for k.
Answers
The possible values of k such that the quadratic equation has real distinct roots are 1 / 2 and 2.
What are the possible values of k associated to quadratic equation?
In this problem we find the case of a quadratic equation, of which the values of a variable k must be found such that the polynomial have real distinct roots. This can be done by using the discriminant of the quadratic formula, which is defined below:
For a · x² + b · x + c = 0, the discriminant is:
b² - 4 · a · c > 0
Then, if we know that a = k - 1, b = 2 and c = 2 · k - 3, then the possible values of k are:
2² - 4 · (k - 1) · (2 · k - 3) > 0
4 - (4 · k - 4) · (2 · k - 3) > 0
4 - (8 · k² - 8 · k - 12 · k + 12) > 0
8 · k² - 20 · k + 8 > 0
Whose form form is shown below:
8 · (k² - (20 / 8) · k + 1) = 0
8 · (k² - (5 / 2) · k + 1) = 0
8 · (k - 2) · (k - 1 / 2) = 0
The possible values of k are 1 / 2 and 2.
To learn more on quadratic equations: https://brainly.com/question/1863222
#SPJ1
Write an
equation of the line passing through point P(-1,-4) that is parallel to
y = -6x + 8.
Answers
y = -6x -25 is equation of slope intercept .
What exactly does slope intercept mean?
A method of expressing a line's equation that makes it simple to identify the slope and y-intercept is known as the slope-intercept form. The point where the line is drawn the y-axis is known as the y-intercept, and the slope refers to how steep the line is.The equation is y = -6x + 8
compare with equation y=mx+b
slope m = -6
Use the point-slope method
y = -6x + 8
point P(-1,-4) point given (x1,y1)
y-y1=m(x-x1) point-slope form
y - ( -1 ) = -6 ( x - (-4))
y + 1 = -6 ( x + 4 )
y + 1 = -6x - 24
y = -6x -25
Learn more about slope-intercept form.
brainly.com/question/9682526
#SPJ13
Help Please!!
Unit 4 lesson 11 geometry Parallel and Perpendicular Lines Unit Test
I have been doing well in this test till this question... any help is appreciated!!
Answers
The values of x = 14 and y = 12
In the diagram given, there are two parallel lines and three angles formed by cutting the parallel lines.
So here, angles (2x+7)° and (3x-7)° are corresponding angles.
That is they occupy relatively same position, that is both are above each parallel line.
So they are equal angles.
i.e., 2x+7 = 3x-7
⇒ 3x-2x = 7 +7
⇒ x = 14
Now the angles 2x+7° and 12y+1° are supplementary angles.
Supplementary angles are formed on a straight line between a line cutting the straight line.
That is their sum = 180°
i.e., 2x+7° + 12y+1° = 180
⇒ 2 x 14 + 7 + 12y +1 = 180
⇒ 28 + 8 +12y = 180
⇒ 36 +12y = 180
⇒ 12y = 180 -36
⇒ 12y = 144
⇒ y = 12
Learn more about parallel lines at https://brainly.com/question/24607467
#SPJ1
Write an equation in point-slope form of the line that passes through the given point and with the given slope m. A. (1, -8) m= -9
Answers
The point-slope form of a line is:
y = mx + b
where m is the slope and b is the y-intercept
Replacing with point (1, -8) and m= -9, we get:
-8 = (-9)(1) + b
-8 = -9 + b
-8 + 9 = b
1 = b
Then, the equation is:
y = -9x + 1
I need the right answer so please be correct
Answers
Answer: 8
Step-by-step explanation:
found slope
3. Toby randomly interviewed 70 patrons at a country music concert to determine their favorite type of music. Based on the results of his survey, he made the following claim:
Two out of three concert-goers prefer country music.
Which of the following statements best describes why this is not a valid claim?
O Only people on the floor level were surveyed.
Not enough patrons at the concert were surveyed.
The concert-goers were not randomly surveyed.
Toby only surveyed patrons at a country music concert who are probably biased toward country music.
Al changes se
Answers
Answer: Two out of three concert-goers prefer country music.
Step-by-step explanation:
Toby is interviewing country music concert participants, and therefore isn't getting a diverse spread of interviewees and isn't getting accurate data.
what are the steps of simplifying the fraction 1244/2000 to its lowest term?
Answers
Explanation: Find the GCD (or HCF) of numerator and denominator
GCD of 1244 and 2000 is 4
Divide both the numerator and denominator by the GCD:
1244 ÷ 4
2000 ÷ 4
Reduced fraction:
311/500
Therefore, 1244/2000 simplified to lowest terms is 311/500.
Which ordered pair would form a proportional relationship with the point graphed below?
-60-40-20 20 40 60 80 ×
x
*
O (-10, 30)
O (30, -15)
O (-30, 10)
10.0
40
30
20
10
20
30-
40-
(60,-20)
Answers
Answer: (-30, 10)
Step-by-step explanation:
A proportional relationship is of the form y=kx for some constant k.
From the point (60, -20), we know that k = -1/3.
So, we are looking for a point where the y coordinate is -1/3 of the x coordinate. This is satisfied by option 3.
10. Dan paid 20% down on 8 new car that cost
$16,584.00. He will pay the balance in
24 equal monthly installments.
He will pay S Drop-cown each month.
A. 1,105.60
B. 667.18
C. 552.80
D. 132.20
Answers
Answer:
552.8
Step-by-step explanation:
16584/8=2073
2073*0.8=1658.4
1658.4*8=13267.2
13267.2/24=552.8
Help me with this i need to submit this assignment tyy
i think its ez but yk.. im lazy
Answers
Answer:
3x3x3x3=81
.......................
can you help with these two questions please
Answers
So let’s start with that
Area of circle is 3.14(r^2)
We are given the diameter as 20m
So radius is 10m
Thus area = 3.14(100)= 314 sq metres
Now each box covers 58 sq metre
So no of boxes = 314/58= 5.41
Rounding to 1 significant figure
It’s 5 boxes
Clearly we are underestimating it as it’s around 5 boxes and a half
For the second question just equate their area
(11)(10)/2 = 22b
=> b= 2.5cm
What is the value of −5 + (−14) + 53?
Answers
Answer:
34
Step-by-step explanation:
The value would be 34
scores on an iq test are normally distributed. the test is designed so that the mean is 100 and standard deviation is 15. (a) what percentage of the population has an iq above 120?
Answers
From the normal distribution it is calculated that 9.18% of people has an iq over 120.
Normal distributions are crucial to statistics because they are widely used in the natural and social sciences to represent real-valued regressors with unknown distributions.
Some of their significance can be attributed to the central limit theory. This claim states that, in some cases, the average of many samples (observations) of a stochastic process with limited mean and variance constitutes itself as a random variable, whose distribution merges to a normal distribution as the number of samples increases.Because of this, the distributions of physical values, such as error margins, which are expected to be the sum of many independent events, are frequently near to normal.We have to find P( X > 120 )
Thus find z score for x =120
[tex]z=\frac{x-\mu}{\sigma}=\frac{120-100}{15}=\frac{20}{15}=1.33[/tex]
Thus we get:
P(X>120) = P(Z>1.33)
P(X>120) = 1 - P(Z<1.33)
P( Z < 2.67) = 0.9082
Thus
P(X>140) = 1 - P(Z<2.67)
P(X>140) = 1 - 0.9082
P(X>140) = 0.0918
Percentage = 9.18%
Therefore 9.18% of people has an iq over 120.
To learn more about normal distribution visit:
https://brainly.com/question/12421652
#SPJ4
If Q = {all perfect squares less than 30} and p={ all odd numbers from 1 to 10}
Answers
When Q = {all perfect squares less than 30} and p={ all odd numbers from 1 to 10) Q ∩ P = { 1, 9}
How to calculate the value?Set theory simply means the branch of mathematical logic that deals with sets, that can be described as collections of objects.
It should be noted that perfect squares are the numbers that can be divided to give same number.
Q = {all perfect squares less than 30}. This will be 1, 4, 9, 16, 25
P ={ all odd numbers from 1 to 10}. This will be 1, 3, 5, 7, and 9.
In this case, the common numbers to set of P and Q are 1 and 9.
Therefore, the numbers are 1 and 9 since they're common to both sides.
Learn more about numbers on:
brainly.com/question/24644930
#SPJ1
If Q = {all perfect squares less than 30} and p={ all odd numbers from 1 to 10}. Find Q ∩ P.
A pile of sand has a weight of 65 kg.
Some of the sand is put into a small sack.
The rest of the sand is put into a large sack.
The sand in the large sack weighs 15 kg more than the sand in the small sack.
What is the weight of the sand in the small sack?
Answers
Answer:
25kg
Step-by-step explanation:
65=x+x+15
65-15=2x
50=2x
25=x
44+400 divided by (4+62)-24
Answers
Answer:
10.57
Step-by-step explanation:
44+400=444
(4+62)-24=
66-24=42
444/42=10.57
MATH PLEASE DO THIS FOR BRAINLYIST
Answers
Answer: The percent of change in the perimeter is 100 percent and
the percent of change in the area is 300 percent .
Step-by-step explanation:
Rectangle is the closed shaped polygon with 4 sides. Opposite sides of the rectangle are equal. when the length and the width of the sandbox are doubled the percent of change in the perimeter is 100 percent and the percent of change in the area is 300 percent.
I NEED HELP!!!
50 POINTS!!!
Answers
slope is 3;
rise/run = y/x
6/2 = 3/1
URGENTTTY PLS PLS HELP !! GRAPH TOO PLS !!
Answers
Mrs. Scott rented a jeep. The rental charge is a flat fee of
$115 plus $12.50 per hour. Her bill is $152.50, not
including tax. Write and solve an equation that could be
used to find the number of hours she rented the jeep
Answers
Step by step
Using y intercept form
y = mx + b
Flat fee of $115 is y intercept or “b”
The $12.50 per hour is the rate or “m”
$152.50 is the total
So your equation is
$152.50 = $12.50x + $115
To solve subtract $115 from both sides to isolate x
$152.50 - $115 = $12.50x + $115 -$115
$152.50 = $12.50x
Divide both sides by $12.50 to solve for x
x = 12.2 hours
An angle measures 58° more than the measure of its supplementary angle. What is the measure of each angle?
Answers
Answer: 61° and 119°
Step-by-step explanation:
So for the smaller angle you have to do:
1. 180-58=122
2. 122/2=61
Then you just add 61+58=119 for the larger angle
what does it mean translate the figure 5 units up
Answers
By definition. a Translation is a transformation in which a figure is moved a fixed distance in a fixed direction.
The Image is the figure obtained after the transformation and the Pre-Image is the original figure.
In this case, you know that the figure shown in the picture must be translated 5 units up. Therefore, the rule for this transformation is:
[tex](x,y)\rightarrow(x,y+5)[/tex]You can identify that the marked point on the Pre-Image has the following coordinates:
[tex]\mleft(-4,-3\mright)[/tex]Therefore, applying the rule for this transformation, you get that the coordinates of the marked point in the final figure, are:
[tex]\mleft(-4,-3\mright)\rightarrow\mleft(-4,-3+5\mright)\rightarrow(-4,2)[/tex]The answer is:
Coordinates of the marked point in the original figure:
[tex](-4,-3)[/tex]Coordinates of the marked point in the final figure:
[tex]\mleft(-4,2\mright)[/tex]Describe the translation from AB to A’B’
Answers
The translation from AB to A’B’ is (x, y) → (x + 9, y + 2).
What is Translation in Math?The translation is a type of transformation in mathematics. When a shape is transformed, the original shape is referred to as the preimage, and the translated shape is referred to as the image.In mathematics, a translation is the movement of a shape to the left or right and/or up or down. The translated shapes appear to have the same size as the original shape, and hence the shapes are congruent. They were simply relocated in one or more directions.Given:
The coordinates of A(preimage) are (-5,1).
The coordinates of A'(image) are (4,3).
From the coordinates of the translated image, A'B' we can determine the transformations.
The translation applied to the point (-5,1) are (x, y) → (x + 9, y + 2).
To know more about translation visit:
https://brainly.com/question/19004409
#SPJ10
<
Find the time-and-a-half pay rate by multiplying the hourly wage, $22 by
by 1-1/2
When the hourly wage is $22, the time-and-a-half pay rate is $
(Simplify your answer.)
Answers
consequently, the time and a half rate will be 33 dollars per hour according to the query.
What is the logic behind time and a half pay rate and how tocalculate it?A higher rate of pay known as "time and a half" is normally only applied to hours that are over 40 in a workweek or that are worked extra.
Companies have different overtime pay practices, with time and a half as a typical rate.
Simply said, it means that for each hour performed within the time and a half window, the employee will receive payment in addition to their regular hourly rate of one half of that amount.
Time and a Half Rate = Hourly Rate * 1.5
According to the given question:
Time and a half rate =22$*1-1/2
=22$*1.5
=33$ per hour
Therefore, According to the question given the Time and a pay half rate will
be 33$ per hour.
To learn more about Time and a half pay rate , click here:
https://brainly.com/question/24589858
#SPJ13
In Montyville, the value of homes has experienced an annual change of -2 percent. If the rate continues, what will be
the change over 10 years?
Answers
Answer:
I believe the answer would be -20 percent
Consider the line y = - - X+4.4.***4.Find the equation of the line that is perpendicular to this line and passes through the point (-9, 6).Find the equation of the line that is parallel to this line and passes through the point (-9, 6).Note that the ALEKS graphing calculator may be helpful in checking your answer.Equation of perpendicular line: 0-Equation of parallel line:X0P
Answers
ANSWER:
[tex]\begin{gathered} \text{perpendicular} \\ y=\frac{4}{3}x+18 \\ \text{parallel} \\ y=-\frac{3}{4}x-\frac{3}{4} \end{gathered}[/tex]STEP-BY-STEP EXPLANATION:
We have that the equation of a line in its slope and y-intercept form is the following:
[tex]\begin{gathered} y=mx+b \\ \text{where m is the slope and b is y-intercept} \end{gathered}[/tex]Now, when two equations are perpendicular, the slope of both are opposite, that is, the product between them is equal to -1, like this:
[tex]\begin{gathered} m_1\cdot m_2=-1 \\ -\frac{3}{4}\cdot m_2=-1 \\ m_2=\frac{4}{3} \end{gathered}[/tex]We replace the values of the point (-9, 6) and the slope to calculate the value of the y -intercept:
[tex]\begin{gathered} 6=-9\cdot\frac{4}{3}+b \\ b=12+6 \\ b=18 \end{gathered}[/tex]Therefore, the perpendicular equation that also passes through the point (-9,6) is:
[tex]y=\frac{4}{3}x+18[/tex]Now, when two lines are parallel, the slope is the same, therefore we calculate directly that it passes through the point (-9, 6)
[tex]\begin{gathered} 6=-9\cdot-\frac{3}{4}+b_{} \\ b=6+9\cdot-\frac{3}{4} \\ b=-\frac{3}{4} \end{gathered}[/tex]therefore, the equation of the line that is parallel to this line and passes through the point (-9, 6) is:
[tex]y=-\frac{3}{4}x-\frac{3}{4}[/tex]