Answers
Answer:
The equation a parallel line will be:
[tex]y=\frac{4}{3}x-9[/tex]
Hence, option B is correct.
Step-by-step explanation:
Given the equation
[tex]8x-6y=7[/tex]
Writing the line into the slope-intercept form
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
so
[tex]8x-6y=7[/tex]
[tex]6y\:=\:8x-7[/tex]
Dividing both sides by 6
[tex]y=\frac{4}{3}x-\frac{7}{6}[/tex]
comparing with the slope-intercept form
Thus, the slope of the line = m = 4/3
We know that the parallel lines have the same slope.
Thus, the slope of the parallel line is also 4/3
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = 4/3 and the point (6, -1)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-\left(-1\right)=\frac{4}{3}\left(x-6\right)[/tex]
[tex]y+1=\frac{4}{3}\left(x-6\right)[/tex]
Subtract 1 from both sides
[tex]y+1-1=\frac{4}{3}\left(x-6\right)-1[/tex]
[tex]y=\frac{4}{3}x-9[/tex]
Thus, the equation a parallel line will be:
[tex]y=\frac{4}{3}x-9[/tex]
Hence, option B is correct.
Related Questions
What is 13 4/5 + 5 1/3
Answers
Step-by-step explanation:
Add the whole numbers
13 +5 = 18
Add the fractions
4/5 +1/3
The LCD is 15
12/15 + 5/15
17/15
Simplify
17/15 = 1 2/15
1 is a while number so, add it to the other whole number
18 +1 = 19
Your final answer will be 19 2/15
Please gimme brainliest
In function for every input there is exactly one output
Answers
Answer:
It should be true, because without an output or input it would be an alien device that doesn't need any energy to work, making it true, also i dont really know if its true
PLEASE ANSWER ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
112°
Step-by-step explanation:
according to the question
34°+34°+x=180°
68°+x=180°
x=112°
19. Find the equation of the line that contains the given points. Write the equation in slope-
intercept form, if possible.
(-5,-5) and (1,7)
Please solve step by step
Answers
Answer:
y = 2x +5
Step-by-step explanation:
1. use slope intercept for y2 - y1 / x2 - x1 --> 7-(-12) / 1-(-5)
2. solve --> 7-(-12) / 1-(-5) = 2
3. put in slope (2) and a coordinate into equation --> y = mx + b --> 7 = 2(1) + b
4. solve --> 7 = 2(1) + b --> b = 5
5. put the equation together --> y = 2x + 5
1 hay bale = 16" X 16" X 44"
The trailer is 28' long, 8' wide, and the hay can be stacked 8' high.
How many bales can the trailer transport?
Answers
Answer:
25 Haybales
Step-by-step explanation:
On your trailer you should be able to fit 25 bales in a tier (spelling). 6 high would give you 150. Then you should be able to put another 10-20 on the neck of the trailer. All depends on how high you want to stack.
hiiiiiiiiiiiiiiiiiiiiiiii pls hellllppp :/
Answers
Answer:
$15 an hour
Step-by-step explanation:
If we want to find the pay per hour, we divide the pay by the hour
[tex]\frac{22.5}{1.5} = 15\\[/tex]
63.75/4.25 =15
108.75/7.25 = 15
191.25/12.75= 15
Our answer is $15 an hour
Our answer is $15 an hour, or B.
Here is a list of numbers.
32 29 30 37 34 33 31 Work out the median
Answers
Answer:
20, 29, 30, 31, 32, 33, 34, 37
~ the median is: 31 +32 / 2 = 31.5
Step-by-step explanation:
Plz mark me as Brainly
A train travels at a speed of 35 miles per hour. How far will the train travel in 5 hours?
This is Math
Answers
Answer:
175 miles
Step-by-step explanation:
35 times 5 = 175
Explanation: 35x5=175
PLEASE HELP! The vertices of square LMNO are L(0, 2), M(2, 0), N(0,−2), and O(−2, 0). Which of the following shows that its diagonals are congruent perpendicular bisectors of each other? I ATTACHED THE IMAGES.
Answers
Answer:
The fourth one is correct.
Step-by-step explanation:
To show the diagonals are congruent, calculate their lengths using the Distance Formula: d=(x2−x1)2+(y2−y1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√.
Find the length of LN.
Substitute 0 for x1, 2 for y1, 0 for x2 and −2 for y2.
LN=(0−0)2+(−2−2)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√
=02+(−4)2‾‾‾‾‾‾‾‾‾‾√
=8‾√
Find the length of MO.
Substitute 2 for x1, 0 for y1, −2 for x2 and 0 for y2.
MO=(−2−2)2+(0−0)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√
=(−4)2+02‾‾‾‾‾‾‾‾‾‾√
=8‾√
Since LN=MO, by the definition of congruent line segments, LN=MO.
To show the diagonals are perpendicular, calculate their slopes using the Slope Formula: m=y2−y1x2−x1.
Find the slope of LN.
Substitute 0 for x1, 2 for y1, 0 for x2 and −2 for y2.
m1=−2−20−0=−40⇒m1 cannot be defined.
Find the slope of MO.
Substitute 2 for x1, 0 for y1, −2 for x2 and 0 for y2.
m2=0−0−2−2
=0−4
=0
The slope of LN cannot be defined, this means that LN is parallel to y-axis. The slope of MO is equal to 0, this means that MO is parallel to x-axis. x and y axis are perpendicular, therefore LN⊥MO.
The figure shows the same square L M N O on a Cartesian plane as in the beginning of the task. Diagonal L N is perpendicular to diagonal M O.
To show the diagonals bisect each other, calculate their midpoints using the Midpoint Formula: P(x1+x22,y1+y22).
Find the midpoint of LN.
Substitute 0 for x1, 2 for y1, 0 for x2 and −2 for y2.
P1(0+02,2+(−2)2)=(0, 0)
Find the midpoint of MO.
Substitute 2 for x1, 0 for y1, −2 for x2 and 0 for y2.
P2(2+(−2)2,0+02)=(0, 0)
Both midpoints are the same point on the coordinate plane. This means the two diagonals intersect at their midpoints, or bisect each other.
The figure shows the same square L M N O on a Cartesian plane as in the beginning of the task. The diagonals intersect at point P. Segments L P, P N, M P, and P O are congruent.
Therefore, the diagonals are congruent perpendicular bisectors of each other.
What’s 2 plus 2 please let me know I have no idea please tell me please I beg
Answers
Answer:
22
Step-by-step explanation:
Answer: 2+2=4
Step-by-step explanation: Thanks for the points kiddo :)
Anyways if you had 2 dogs and got 2 more you would have 4 dogs in all
Which expression is equivalent to 4x-5 ?
Select all that apply
A. 3(2x-5)-2(x-5)
B. 3x-2-(3-x)
C. 7x+1-3(x+2)
D. 4(2x-1)-2(2x-1)
Answers
Answer:
A
Step-by-step explanation:
[tex]x58 \frac{.225 {.39 < }^{?} }{?} [/tex]
[tex].555121213 \frac{ = < < \sqrt{ { \frac{?}{?} }^{?} } }{?} [/tex]
OK!!! I NEED HELP AGAIN AND ITS HONESTLY SUPER EASY :/ I DONT KNOW WHY IM NOT doing it BY MYSELF BUTTTTT---- GIVING BRAINLIEST, FIVE STARS AND THANKSSS!
Which measurement is most accurate to describe the amount a soup bowl could hold?
4 fl. oz.
16 fl. oz.
3 pints
1 quart
Answers
Answer: 16 fl oz
Step-by-step explanation:
Answer:
1 quart sorry if I'm wrong
Step-by-step explanation:
What is the value of x?
Enter your answer in the box.
x =
A triangle with angle measures thirty-nine degrees and one hundred two degrees. The third angle has an unknown measure, x degrees.
Answers
Answer:
x=39
Step-by-step explanation:
The sum of the measure of all of the interior angles of a triangle is equal to 180 degrees. If a triangle has angle measures known to be 102 and 39 degrees, in order to find the last angle measure an equation can be used such as [tex]x=180-102-39[/tex]. When solving this equation the third angle measure is x, which is revealed to be 39 degrees.
find the value of x
x=
Answers
Answer:
x = 4
Step-by-step explanation:
Since BD is an angle bisector then it divides the opposite side into segments that are proportional to the other 2 sides, that is
[tex]\frac{BA}{BC}[/tex] = [tex]\frac{AD}{CD}[/tex] , substitute values
[tex]\frac{x}{6}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
3x = 12 ( divide both sides by 3 )
x = 4
Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.75 per mile. Katie has no more than $10 to spend on a ride. How many miles can Katie travel without exceeding her limit?
Answers
Answer:
11 miles
Step-by-step explanation:
10-1.75=8.25
8.25÷.75=11
Two sides of a right triangle are 5 units and 8 units respectively.
Those sides could be the legs, or they could be one leg and the
hypotenuse. What are the possible lengths of the third side?
Answers
Answer: See explanation
Step-by-step explanation:
The possible lengths of the third side would be:
✓hypotenuse = (✓5² + 8²)
= ✓(25 + 64)
= ✓89
= 9.4
OR
8² - 5² = side²
side² = 64 - 25
side² = 39
Side = ✓39
Side = 6.24
Describe the slope of the line
Find the slope.
m =
Answers
Answer:
m = -3/5
Step-by-step explanation:
Since the line is going downwards towards the right, it is a negative slope.
We can use the points to solve for the slope.
m = -2 - 1 / 2 - (-3)
m = -2 - 1 / 2 + 3
m = -3/5
Therefore, the slope is -3/5.
The expression 10x-x^2 is greater than zero for all values of x that are
(A). Greater than 0.
(B). Less than 0 but greater than 10
(C). Greater than 10
(D). Greater than 0 but less than 10
Answers
Answer:
Here Is Your Answer Less Than 0 But Greater Than 10
can someone help me!
Solve for x.
Answers
Answer:
x=7
Step-by-step explanation:
Using parallel lines, cut off by a transversal, we can do this (see image):
Using the image, we can say that 94 = c = a= f, and 13x-5 = b = d =g
Since angles on a straight line add to 180, we can say that
13x-5+94 = 180
13x + 89 = 180
subtract 89 from both sides
13x = 91
x = 7
uh I kinda need help lolz
Answers
d
(Use the graph below.)
N
M
12
P
Q
Which letter represents (-2, 3)?
ОА. м
B. N
Ос. о
ODP
ΟΕ. Ο O
Answers
Answer: N
Step-by-step explanation:
solve each equation. 18.) 9 = -y
Answers
Answer:
y = -9
Step-by-step explanation:
1 Which line is perpendicular to the line y = -31 - 2and passes through the Point 4 Je=3 = 2x + 2
Answers
Answer:
y=3x+1
Step-by-step explanation:
Rewrite the following polynomial in standard form.
1 + 10x3 + x2
Answers
Answer:
31 + x
Step-by-step explanation:
1) 1 + 10 × 3 + x
2) 1 + 30 + x
3) 31 + x
Answer:
X2+10x3+1....…...…............
Three of the vertices of quadrilateral MARY are M (-3,1), A(3,3), and R(5,7). Find the
coordinates of Y, such that, quadrilateral MARY is a parallelogram.
Use coordinate geometry to prove that MARY is a parallelogram.
Answers
9514 1404 393
Answer:
Y = (-1, 5)
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, so have the same midpoint. That is ...
(M +R)/2 = (A +Y)/2
Y = M + R - A . . . . . . multiply by 2 and subtract A
Y = (-3, 1) +(5, 7) -(3, 3) = (-3 +5 -3, 1 +7, -3) . . . . . substitute point coordinates
Y = (-1, 5)
Coordinate geometry was used to find Y that makes MARY a parallelogram. The fact that there is a solution is proof enough that MARY is a parallelogram.
_____
Your teacher may expect the "proof" to be either or both of ...
showing opposite sides have the same slopeshowing opposite line segments have the same lengthGiven the method used above, both of these are unnecessary. However, in the interest of completeness, we will demonstrate.
Slope and Length of MA
slope = (3 -1)/(3 -(-3)) = 2/6 = 1/3
length = √(2²+6²) = √40
Slope and Length of AR
slope = (7 -3)/(5 -3) = 4/2 = 2
length = √(4² +2²) = √20
Slope and Length of RY
slope = (5 -7)/(-1 -5) = -2/-6 = 1/3 . . . . same as opposite side MA
length = √((-2)²+(-6)²) = √40 . . . . . . . same as opposite side MA
Slope and Length of YM
slope = (1 -5)/(-3 -(-1)) = -4/-2 = 2 . . . . same as opposite side AR
length = √((-4)² +(-2)²) = √20 . . . . . . same as opposite side AR
Opposite sides have the same slopes, so the figure is a parallelogram.
Opposite sides have the same lengths, so the figure is a parallelogram.
The volume of a cube-shaped box is 27^5 cubic millimeters. What's the length of one side of the cube-shaped box?
Answers
PLEASE HELP WITH MARK BRAINIEST
A rabbit can hop 6 feet in 2 seconds and 12 feet in 4 seconds. If the number of feet varies directly with the time the rabbit spends hopping, at what speed is the rabbit hopping?
Answers
Answer:
3 feet per second isnt this really easy tho-
Step-by-step explanation:
HELP PLSSSS LOL!!!!!!!
Answers
Answer:
1.=scalene+acute . 2. equilateral . 3. obtuse+scalene . 4. isosceles+right . 5. scalene+acute(cant tell exactly) 6. acute+isosceles . 7. right+isosceles . 8. isosceles + obtuse
Step-by-step explanation:
look at pictures
Select the correct answer.
Twenty students in Class A and 20 students in Class B were asked how many hours they took to prepare for an exam. The data sets represent their answers.
Class A: {2, 5, 7, 6, 4, 3, 8, 7, 4, 5, 7, 6, 3, 5, 4, 2, 4, 6, 3, 5}
Class B: {3, 7, 6, 4, 3, 2, 4, 5, 6, 7, 2, 2, 2, 3, 4, 5, 2, 2, 5, 6}
Which statement is true for the data sets?
A.
The mean study time of students in Class A is less than students in Class B.
B.
The mean study time of students in Class B is less than students in Class A.
C.
The median study time of students in Class B is greater than students in Class A.
D.
The range of study time of students in Class A is less than students in Class B.
E.
The mean and median study time of students in Class A and Class B is equal.
Answers
Answer:
B. The mean study time of students in Class B is less than students in Class AStep-by-step explanation:
Class A:
{2, 5, 7, 6, 4, 3, 8, 7, 4, 5, 7, 6, 3, 5, 4, 2, 4, 6, 3, 5}
Number = 20Sum = 96Mean = 96/20 = 4.8Range = 8 - 2 = 6Class B:
{3, 7, 6, 4, 3, 2, 4, 5, 6, 7, 2, 2, 2, 3, 4, 5, 2, 2, 5, 6}
Number = 20Sum = 80Mean = 80/20 = 4Range = 7 - 2 = 5Correct option is B
Work out the answers
Answers
a)200
b)120
c)410
d)37.3