Answer:
Step-by-step explanation:
5 9/50
to write an equation of a line that is...
parallel to 2x - 4y = 8
and goes through the point (3, -2)
Answer:
x-2y=7 or y=[tex]\frac{1}{2}x-\frac{7}{2}[/tex]
Step-by-step explanation:
Hi there!
We are given the line 2x-4y=8, and we want to write an equation of the line that is parallel to it and passes through (3, -2)
Parallel lines have the same slope, so it would be a good idea to find the slope of 2x-4y=8
The equation is currently written in standard form (ax+by=c), where a, b, and c are free integer coefficients, but a and b CANNOT be equal to 0, and a CANNOT be negative
In order to find the slope of the line, we can rewrite it in another form; for example, slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)
To rewrite the line in this way, we'll need to isolate y on one side.
So start by subtracting 2x from both sides
-4y=-2x+8
Divide both sides by -4
y=[tex]\frac{1}{2}x[/tex]-2
The slope of the line 1/2, as it's in the place of where m is.
It's also the slope of the line parallel to it.
We can write the equation of the new line in slope-intercept form. Here's what we know so far:
y=[tex]\frac{1}{2}x[/tex]+b (b is a placeholder for the y intercept)
So we'll need to find b.
As the equation passes through the point (3, -2), we can use it to solve for b
Substitute 3 as x and -2 as y:
-2=1/2(3)+b
Multiply
-2=3/2+b
Subtract 3/2 from both sides:
-7/2=b
Substitute -7/2 as b in the equation:
y=[tex]\frac{1}{2}x-\frac{7}{2}[/tex]
The equation can be left as that, or you can convert it back into standard form
Subtract [tex]\frac{1}{2}x[/tex] from both sides, as the variables are on one side.
[tex]-\frac{1}{2}x[/tex]+y=[tex]-\frac{7}{2}[/tex]
Remember that the coefficient in front of x (a) CANNOT be negative, and also the free coefficients a, b, and c CANNOT be fractions.
So in order to clear the fractions and to change the signs, multiply both sides by -2
x-2y=7
Hope this helps!
how do i write it please and the answer
Answer:
8-9/16 or 7.4375.
Step-by-step explanation:
x=2 y=3/4
2*2*2=8
3/4*3/4=9/16
8-.5625=7.4375
The angles featured below are ______ angles
Answer:
its normall
Step-by-step explanation:
Select two national treasures saved by Dolley Madison.
Gilbert Stuart's portrait of George Washington
A bust of Thomas Jefferson
The Declaration of Independence
The U.S. Constitution
Answer:
Gilbert Stuart's portrait of George Washington The U.S. Constitution
Step-by-step explanation:
Answer: Gilbert Stuart's portrait of George Washington
The Declaration of Independence
Step-by-step explanation:
A semicircle with diameter 8 inches is connected to a triangle with a base length of 8 inches. The height of the triangle is 3 inches.
What is the area of the composite figure?
Answer:
Step-by-step explanation:
Area of the semicircle = pi * r^2 / 2
d = 8
r = d/ 2
r = 8/2 = 4 inches
Area = pi * 4^2 / 2
Area = 3.14 * 8
Area = 25.12 square inches
Area of the triangle
Area = 1/2 * b * h
b = 8
h = 3
Area = 1/2 * 8 * 3
Area = 12 square inches
Total area = 25.12 + 12
Total area = 37.12 square inches
What is the value of the x variable in the solution to the following system of equations?
2x - 3y = 3
5x - 4y = 4
Answer:
x = 0
Step-by-step explanation:
Solve 2x - 3y = 3 for x:
[tex]2x - 3y = 3[/tex] [tex]2x - 3y + 3y = 3+ 3y[/tex] (add 3y to both sides)[tex]2x = 3y + 3[/tex] [tex]\frac{2x}{2} = \frac{3y+3}{2}[/tex] (divide both sides by 2)[tex]x = \frac{3}{2}y + \frac{3}{2}[/tex]Substitute 3/2(y) + 3/2 for x in 5x - 4y = 4
[tex]5x - 4y = 4[/tex] [tex]5(\frac{3}{2}y + \frac{3}{2}) - 4y = 4[/tex] [tex]\frac{7}{2}y + \frac{15}{2} = 4[/tex] (simplified both sides of equation)[tex]\frac{7}{2}y + \frac{15}{2} - \frac{15}{2} = 4 - \frac{15}{2}[/tex] (subtract 15/2 from both sides)[tex]\frac{7}{2}y = -\frac{7}{2}[/tex] [tex]\frac{7}{2}y * \frac{2}{7} = \frac{-7}{2} * \frac{2}{7}[/tex] (multiply both sides by 2/7)[tex]y = -1[/tex]Substitute -1 for y in x = 3/2(y) + 3/2
[tex]x = \frac{3}{2}y + \frac{3}{2}[/tex] [tex]x = \frac{3}{2}(-1) + \frac{3}{2}[/tex] [tex]x = -\frac{3}{2}+ \frac{3}{2}[/tex] (simplified both sides of equation)[tex]x = 0[/tex]Therefore, the value of the x-variable is 0.
anyone know if they can help me rq
We are given two equations, one of which has an isolated variable [tex]x[/tex].
That screams to me that substitution would be a prefered strategy here, compared to elimination, although both work.
That means we'll be substituting our value of [tex]x[/tex], which is given as [tex]-y+3[/tex], into the first equation, [tex]15x+31y=-3[/tex].
[tex]15x+31y=-3[/tex]
[tex]x=-y+3[/tex]
[tex]15(-y+3)+31y=-3[/tex]
[tex]-15y+45+31y=-3[/tex]
[tex]16y=-48[/tex]
[tex]y=-3[/tex]
With this value, we can plug it back into either of the two equations to solve for [tex]x[/tex], I'll be substituting it back into the second equation, since it's easier.
[tex]x=-y+3[/tex]
[tex]y=-3[/tex]
[tex]x=-(-3)+3[/tex]
[tex]x=6[/tex]
So our solution is [tex](6,-3)[/tex], and to check we can plug it back into the first equation.
[tex]15x+31y=-3[/tex]
[tex]15(6)+31(-3)=-3[/tex]
[tex]90-93=-3[/tex]
Which is true, so our solution is correct.
Hope this helps!
Answer:
Step-by-step explanation:
[tex]\begin{cases} 15x+31y=-3 \\\\ x=-y+3 \ \ | \times 15\end{cases} \Leftrightarrow \ominus\begin{cases} 15x+31y=-3 \\\\ 15x=-15y+45 \ \ \end{cases} \Leftrightarrow \\\\\\ 15x-15x+31y=-3-(-15y)-45 \\\\ 31y=15y-48 \\\\ 31y-15y=-48 \\\\ 16y=-48 \ \ |\div 16 \\\\ y=-3 \ \ ; \ \ x=-y+3=3+3=6 \\\\[/tex]
[tex]\huge \boldsymbol{\mathfrak {Unswer}}: x=6 \ \ ; \ \ y=-3[/tex]
The perimeter of a rectangle measures 36 inches. If the width is 5 times the length, what is the width of the rectangle?
Answer:
the width of the rectangle is 15 inches ...
and the length is 3 inches
Answer:
180.
Step-by-step explanation:
to find this, you multiply 36 by 5, which gets you 180.
keyword: times
If two fair sided dice are rolled,how many total possible outcomes are in the sample space?
Answer:
36
Step-by-step explanation:
There are 6 possible outcomes on a single fair dice and there are two dice: 6 × 6 = 36. Hope this helps!
Answer: 36
Explanation:
There are 6 sides for either die, which leads to 6*6 = 36 outcomes with two dice. Think of a table with 6 rows and 6 columns. Each of the 36 inner cells represents a different dice sum.
Work out the nth term of the following sequence:
7, 16, 31, 52, 79
its a quadratic sequence and i worked out the second difference (6) so know its 3n² but i don't know the rest
Answer:
Step-by-step explanation:
Since it is given that it is quadratic it is of the form f(n)=an^2 + bn+c.
Since we know a few terms we can plug in to get some equations:
f(1)= a +b+c = 7
f(2)=4a+2b+c = 16
f(3)=9a+3b+c = 31
Now you've got yourself a system of three equations which I trust you can solve.
I will say that I'm not sure that this is the most efficient solution(check out the link below which might have a better solve).
Here are some nice explanations with the "real" math notation for a slightly different but related problem:
https://math.stackexchange.com/questions/2345256/how-to-find-the-nth-term-of-quadratic-sequences
Good luck!
6. How many planes contain the given line and point?
a. DB and point A
b. BD and point E
C. AC and point D
d. EB and point C
Answer:
B. BD and point E
Step-by-step explanation:
BD and point E is the only choice with both of them lying on the plane, the others lie on other planes
PROBLEM SOLVING A boat is traveling parallel to the shore along RT. When the
boat is at point R, the captain measures the angle to the lighthouse as 35º After the
boat has traveled 2.1 miles, the captain measures the angle to the lighthouse as 70°
The exterior angle theorem states that the sum of two opposite interior angles is equal to the measure of the exterior angle.
The distance SL= 5.77 miles between the boat and the lighthouse after travelling 2.1 miles
According to the conditions given in the problem the exterior angle is 70 degrees and one of the opposite interior angle is 35 degrees.
m∠ L + m∠R= 70°
m∠ L + 35° = 70°
m∠ L = 70°-35°
m∠ L = 35°
If one interior angle is 35 degrees the other must also be 35 degrees to make a total of 70 degrees.
The sum of all angles of the triangle is always equal to 180 degrees.
So the third angle of the triangle will be
180°= 35°+35°+m ∠S
m∠S= 110°
From the triangle
Angle theta= m∠S= 110°
Fy= SL= height
Fx= RS = base
F= RL= hypotenuse
The line SL has to be found out.
Let the Fx= 2.1 miles
Then
Fx= Fcos ∅
But Cos ∅ = Cos 110°= -0.342
2.1= F (-0.342)
F= - 6.140 = hypotenuse
Now the vertical component
Fy= Fsine theta
Fy= - 6.140 sine 110°
Fy= - 6.14×0.94
Fy= -5.77 miles
The negative sign indicates that it is in the opposite direction.
https://brainly.com/question/13729598
Find the mean of the boys
Answer:
14 is the mean of boys
Step-by-step explanation:
graph using the slop and y intercept
Answer:
the slop is -1/2 and they y intercept 2
The question is on the sheet...pls help!
Answer:
C
Step-by-step explanation:
5. A fast food restaurant counted how many hamburgers they sold every day for 10 days. The first
day they counted 45. The next day they counted 52. The next 5 days they counted: 47, 60, 51, 49, and
48. Then, the last 3 days they counted: 53, 59, and 44
Answer:
Am unsure if you are asking for persons to add the given numbers of hamburgers sold each day. If so, The answer is below
Step-by-step explanation:
First you must add each amount that was sold each day
45524760514948535944After adding all these numbers above, The answer would be 508 burgers for the 10 days.
Which of the following describes the transformation from Figure 1 to Figure 2? On a coordinate plane, figure A B C D E has points (negative 3, 5), (negative 2, 5), (negative 1, 4), (negative 2, 3), (negative 5, 3). Figure A prime B prime C prime D prime E prime has points (2, 2), (3, 2), (4, 1), (3, 0), (0, 0). CLEAR CHECK translation 2 units to the right and 3 units down translation 3 units to the left and 2 units up translation 5 units to the right and 3 units down translation 5 units to the left and 3 units up
Answer:
a
Step-by-step explanation:
The transformation from Figure 1 to Figure 2 is:
The transformation of 5 units to the right and 3 units down.
Option C is the correct answer.
What is translation?It is the movement of the shape in the left, right, up, and down directions.
The translated shape will have the same shape and shape.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
A B C D E has points (-3, 5), (-2, 5), (-1, 4), (-2, 3), and (-5, 3).
A' B' C' D' E' has points (2, 2), (3, 2), (4, 1), (3, 0), and (0, 0).
Now,
A = (-3 + 5, 5 - 3) to A' = (2, 2)
B = (-2 + 5, 5 - 3) to B' = (3, 2)
C = (-1 + 5, 4 - 3) to C' = (4, 1)
D = (-2 + 5, 3 - 3) to A' = (3, 0)
E = (-5 + 5, 3 - 3) to E' = (0, 0)
We see that,
There is a translation of 5 units to the right and 3 units to the down.
Thus,
The transformation of 5 units to the right and 3 units down.
Learn more about translation here:
https://brainly.com/question/12463306
#SPJ1
Perpendicular to y=-2x+1, but passes through (-4,4)
inverse f(x)=-5x-30?
Step-by-step explanation:
f(x) = -5x - 30
[tex] \: [/tex]
Invers
[tex]y = - 5x - 30[/tex]
[tex]x = - 5y - 30[/tex]
[tex]x + 30 = - 5y[/tex]
[tex]y = - \frac{x}{5} - \frac{30}{5} [/tex]
[tex]y = - \frac{x}{5} - 6[/tex]
[tex] {f}^{ - 1} (x) = - \frac{x}{5} - 6[/tex]
CAN SMB PLS HELPPPP!!!! THIS DUE TONIGHT!!! REWARD: 30 POINTS
9514 1404 393
Answer:
x = 40
∠6 = 120
Step-by-step explanation:
This question has nothing to do with parallel lines.
Angles 5 and 6 form a linear pair, so are supplementary.
∠6 + ∠5 = 180°
3x +60 = 180
3x = 120 . . . . . . . . . subtract 60
x = 40 . . . . . . . . . . . divide by 3
Angle 6 is the supplement of angle 5 as shown above.
∠6 = 3x = 120
The total cost for 6 mangoes and four apples is $46. Which equation represent this information?
Answer:
Step-by-step explanation:
6m+4a=46
what is the answer for the question A=B+C
Answer:
8=4+4
Step-by-step explanation:
if x and y vary inversely and x=2.5 when y =100 find x when y=25
Answer:
x is 10.
..............
- The equilateral triangle and the rectangle have equal perimeters, measured in feet.
a. Find the value of x.
Answer:
x=
Step-by-step explanation:
Answer:
Do you have a picture that goes with the question that you can post?
Step-by-step explanation:
Please help asap! I will give brainliest for correct answer!
Answer:
0.01miles/day
Step-by-step explanation:
1: Convert 9cm to miles
[tex]9cm*(\frac{1m}{100cm})*(\frac{1km}{1000m})*(\frac{1mile}{1.609km})=0.000055935miles[/tex]
2: Convert 5.5 minutes to days
[tex]5.5minutes*(\frac{1hour}{60minutes})*(\frac{1day}{24hours})=0.003819444 days[/tex]
3. Set miles over days
[tex]\frac{0.000055935miles}{0.003819444days}[/tex]
4: Divide to get the answer
0.014644 miles/day
5: Round to get the final answer
0.01 miles/day
How far is it around the perimeter of crater lake?
1 7/8 divided by 2 2/5 if give good response = brainlist
Answer:
75/96 or in its simplest form, 25/32
Step-by-step explanation:
1. Convert both fractions into improper fractions
1 7/8 becomes 15/8 (1 × 8 = 8, 8 + 7 = 15)2 2/5 becomes 12/5 (2 × 5 = 10, 10 + 2 = 12)2. Use KFC
Keep the first fraction the sameFlip the second fractionChange the sign from ÷ to ×15/8 ÷ 12/5 = 15/8 × 5/12
15 × 5 = 758 × 12 = 9675/96 = 25/32 (divide the numerator and denomiator by 3)Hope this help!
Find the perimeter of the rectangle with the given dimensions.
9. A = 56 m^2 , l = 8 m.
Answer:
length(l) is 8 m
area=56^2
l*b=56^2
8*b=56^2
b=56/8
hence,
breadth {width}(b) is 7 m
hence , perimeter is
2(l+b)
2(8+7)
2*15
30 cm
hence perimeter is 30 cm
find the 125th term of the number pattern 2,4,6,8......
Answer: 250
Step-by-step explanation: 125*2 = 250
Write the equation of the line that passes through the points(-6,8)and(0,-3). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line..
Answer:
y-8= -11/6 (x+6)
Step-by-step explanation:
