what is y=4/5x+2 in standard form
Answer:
4x-5y=-10
Step-by-step explanation:
The standard form of a linear equation is Ax+By=CAx+By=C.
Multiply both sides by 55.
5y=5(45x+2)5y=5(45x+2)
Simplify 5(45x+2)5(45x+2).
Tap for more steps...
5y=4x+105y=4x+10
Rewrite the equation with the sides flipped.
4x+10=5y4x+10=5y
Move all terms containing variables to the left side of the equation.
4x−5y+10=04x-5y+10=0
Subtract 1010 from both sides of the equation.
4x−5y=−104x-5y=-10
Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex.
Coordinates: (-3,8) (4,5) (2,-5)
Given:
The three vertices of a parallelogram are (-3,8), (4,5), (2,-5).
To find:
The fourth vertex of the parallelogram.
Solution:
Let the vertices of the parallelogram are A(-3,8), B(4,5), C(2,-5) and D(a,b).
We know that, diagonals of a parallelogram bisect each other. It means midpoints of both diagonals are same.
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Two diagonals of ABCD are AC and BD.
Midpoint of AC = Midpoint of BD
[tex]\left(\dfrac{-3+2}{2},\dfrac{8-5}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)[/tex]
[tex]\left(\dfrac{-1}{2},\dfrac{3}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{4+a}{2}=\dfrac{-1}{2}[/tex]
[tex]4+a=-1[/tex]
[tex]a=-1-4[/tex]
[tex]a=-5[/tex]
And,
[tex]\dfrac{5+b}{2}=\dfrac{3}{2}[/tex]
[tex]5+b=3[/tex]
[tex]b=3-5[/tex]
[tex]b=-2[/tex]
Therefore, the coordinates of fourth vertex are (-5,-2).
find the missing angle
Answer:
50°
Step-by-step explanation:
65+65+<z = 180
130+ <z = 180
<z = 50°
Find the equivalent expressions for (x + 7)(x + 1).
x(x + 7+8)
(x +4)^2 - 9
x^2+ 8x + 7
x^2+ 7x + 8
(x+ 4)^2 +9
x(x + 8) +7
Answer:
The answers should be
x^2 + 8x + 7
x(x + 8) +7
Step-by-step explanation:
(x + 7)(x + 1)
x(x) + x(1) + 7(x) + 7(1)
x^2 + x + 7x + 7
x^2 + 8x + 7
Answer:
C d
Step-by-step explanation:
The system of equations has
options are
1. no solution
2. one solution
3. infinitely many solutions
Answer: no solution
Step-by-step explanation: after simplifying they are parallel which means they have no solutions
Researchers make a one-sample z interval to estimate the proportion of adults who would say they learned
something new in the past month. Previous studies have suggested that about 40% would answer "yes" to this
question. The researchers plan on using a confidence level of 95%, and they want the margin of error to be no
more than 25%.
Answer:369
Step-by-step explanation:
plz help me with this question.....
Answer:
See Below.
Step-by-step explanation:
The sum of an A.P. is given by:
[tex]\displaystyle S_n=\frac{n}{2}(a+x_n)[/tex]
Where n is the number of terms, a is the initial term, and xₙ is the last term.
Therefore:
[tex]\displaystyle S_{30}=\frac{30}{2}\Big(a+x_{30}\Big)=15(a+x_{30})[/tex]
And likewise:
[tex]\displaystyle S_{20}=\frac{20}{2}\Big(a+x_{20}\Big)=10(a+x_{20})\\\\ S_{10}=\frac{10}{2}\Big(a+x_{10}\Big)=5(a+x_{10})[/tex]
Substitute:
[tex]15(a + x_{30}) = 3(10 (a + x_{20}) - 5(a + x_{10} ))[/tex]
Distribute:
[tex]15a+15x_{30}=30a+30x_{20}-15a-15x_{10}[/tex]
Simplify:
[tex]15x_{30}=30x_{20}-15x_{10}[/tex]
Simplify:
[tex]x_{30}=2x_{20}-x_{10}[/tex]
The nth term for an A.P. is:
[tex]x_n=a+d(n-1)[/tex]
Where a is the initial term and d is the common difference.
So, it follows that:
[tex]x_{30}=a+d(30-1)=29d+a\\ x_{20}=a+d(20-1)=19d+a\\ x_{10}=a+d(10-1)=9d+a[/tex]
Therefore:
[tex]29d+a=2(19d+a)-9d-a[/tex]
Which follows that:
[tex]29d+a=38d+2a-9d-a\\ \\ 29d=29d \\\\ d\stackrel{\checkmark}{=}d[/tex]
QED.
Which of the following best describes AD?
D
А
c
A. Altitude
B. Angle bisector
C. Perpendicular bisector
D. Median
Answer:
it will option A. Altitude hope it helps
The segment AD in the given triangle describes as Altitude.
What is Triangle?A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.
Sum of the interior angles of a triangle is 180 degrees.
Given is a triangle ABC.
Altitude of a triangle is defined as the perpendicular segment drawn from a vertex to the opposite side.
Angle bisector is the line segment drawn from a vertex to the opposite side which bisects the angle at that vertex.
Perpendicular bisector is the perpendicular line segment drawn from a vertex to the opposite side which divides the opposite side to two halves.
Median is the line segment joining the vertex with the mid point of the other side.
Here, it is only given that the drawn line is perpendicular. It does not bisect side or angles.
So it is altitude.
Hence the given segment is altitude.
Learn more about Altitudes of Triangles here :
https://brainly.com/question/2272632
#SPJ7
y=4x-6
2x-3y=8
if this problem is to be solved bye substitution, which is correct step
Answer:
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
ok
BC has endpoints B(-3,-5) and C(12,12). FInd the coordinates of the midpoint of BC
Answer:
(9/2, 7/2)
Step-by-step explanation:
The easiest way to remember how to do this problem is to average the x-coordinates and average the y-coordinates.
So, in your problem (-3 + 12)/2 = 9/2 and (-5 + 12)/2 = 7/2
The midpoint is (9/2, 7/2)
[tex]4 \times {8}^{x + 1} = {2}^{2x} [/tex]
Calculate the value of x
Answer:
[tex] - 2[/tex]
Step-by-step explanation:
2^2×2^3(x+1)=2^2x
same base cancel,you will get
2+3x+3=2x
take same variable then - or + you will get
[tex]x = - 2[/tex]
Answer:
x=-5
Step-by-step explanation:
2^2×2^3(x+1)=2^2xsince they have the same Base we equat the exponents2+3(x+1)=2x2+3x+3=2x group like terms3x-2x=-3-2x=-5Sarah started with two large dogs and 8 small dogs, write the ratio of large to small dogs. then interpret the ratio with words
Answer:
2:8
Sarah has 2 small dog and 8 big ones
Step-by-step explanation:
What is the Unit price of 5 tickets for $5.00 ?
Answer:
$25
Step-by-step explanation:
Solve for x.
7(x - 3) + 3(4 - x) = -8
x = 25/10
x= -16/19
x= -41/10
O x = 1/4
Answer:
x = 1/4
Step-by-step explanation:
Calculations:
[tex]7(x-3)+3(4-x)=-8[/tex]
[tex]7x-21+12-3x=-8[/tex]
[tex]4x-9=-8[/tex]
[tex]4x=1[/tex]
[tex]x=\frac{1}{4}[/tex]
Enter the number that belongs in the green box
Answer:
x = 7
Step-by-step explanation:
All sides are equal therefore its 7
Hope this helps!! ♥︎
x = 7
7 because the measurement of all side are congruent
In which quadrant does the terminal side of 225° angle in standard position lie
Answer:
4 th quadrant
Step-by-step explanation:
olz make me brainliest
Line CD contains points A (4, 6) and B (4, 3). The slope of line CD is (2 points)
positive
undefined
negative
zero
Answer:
slope is undefined
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = A(4, 6) and (x₂, y₂ ) = B(4, 3)
m = [tex]\frac{3-6}{4-4}[/tex] = [tex]\frac{-3}{0}[/tex]
Division by zero is undefined thus the slope of CD is undefined
Two sisters want to save money to buy a game. The game costs $90. One sister has $36 and the other has $40. How much more money do they need?
Which expression represents the quotient of the model shown? -x2 O x + 3 x - 3 lolo o O -X-3 -x + 3
Answer:
-x+3Step-by-step explanation:
Given the expression
-x^2 + x + 3 x - 3
Factorize
(-x^2 + x) + (3 x - 3)
-x(x-1)+3(x-1)
= (x-1)(-x+3)
Hence one of the quotient is -x+3
The ground temperature at airport is 12 degrees. The temperature decreases by 5.2 degrees for every mile above ground. What would be the temperature outside of plane 3 miles above ground
Answer:
-3.6 degrees
Step-by-step explanation:
Since we need to find the temperature that is 3 miles above ground we first need to multiply the distance above ground by the decrease in temperature per mile.
3 * 5.2 = 15.6
Now that we have the total decrease in temperature at that altitude we subtract it from the temperature at ground level. This gives us the final temperature at 3 miles above the ground.
12 - 15.6 = -3.6
Finally, we can see that the temperature is -3.6 degrees
Write an equation for (-1,-2),(-3,-4)
Answer:
y=x+1
Step-by-step explanation:
First find the slope by subtracting the y values from both points and dividing it by the subtraction of the x values from both points:
-4--2/ -3--1= -2/-2= 1
so the slope is 1
Now find the y-intercept by plugging in the x and y from one of the points into the equation y=x+b
-3=-4+b
1=b
now plug the slope and y intercept in:
y=x+1
hope this helps :D
7. QR =
8. Z
P
24x - 2
Q 6x +14 R
102
->
Answer:
7Q ^12
Step-by-step explanation:
Porque se se suman la cuestione y porque solo me estás pagando con cinco puntos
I’m struggling with this could you help me pls
Step-by-step explanation:
a) x=0, y=6
x=1, y=4
x=2 , y=2
x=3, y=0
x=4, y= -2
y= 6-2x
b) look at the attachment.
c)
6-2x=3
-2x=-3
x=3/2
lloooooook belooooow please help giving brainliest
Answer:
Do you need the fourmulas?
Step-by-step explanation:
A circle has its centre at the origin and has a radius of 5.
What is its equation?
Answer:
x²+y²=25
Step-by-step explanation:
(x-h)²+(y-k)²=r²
(x-0)²+(y-0)²=5
x²+y²=25
Laura bought a notebook and a pencil for $4.50. The notebook cost twice the amount of the pencil. On your worksheet, solve the question and write your answer below. . How much was the pencil and how much was the notebook
Answer:
n+p=4.50
n=2p
2p+p=4.5
2p=4.5
p=$1.5
n=$3
Step-by-step explanation:
Answer:
Pencil: $1.50
Notebook: $3
Step-by-step explanation:
n = cost of notebook
p = cost of pencil
n + p = 4.5
n = 2p
substitute n into the first equation
2p + p = 4.5
3p = 4.5
p = 1.5
n = 2p
n = 2(1.5)
n = 3
In a game show, players play multiple rounds to score points. Each round has 3 times as many points available as the previous round.
Round 0 1 2 3 n
Points 25 75 225 675
Which equation shows the number of points available, p, in round n of the game show?
Answer:
[tex]p = 25(3)^n[/tex]
Step-by-step explanation:
Given
Round 0 1 2 3
Points 25 75 225 675
Required
Determine the equation
Let n = rounds and p = points.
So, we have:
[tex](n_1,p_1) = (0,25)[/tex]
[tex](n_2,p_2) = (1,75)[/tex]
[tex](n_2,p_2) = (3,225)[/tex]
The above shows a geometric progression.
So, we solve using
[tex]p = ab^n[/tex]
In [tex](n_1,p_1) = (0,25)[/tex]
n = 0 and p = 25
Substitute these values in [tex]p = ab^n[/tex]
[tex]25 = ab^0[/tex]
[tex]25 = a*1[/tex]
[tex]25 = a[/tex]
[tex]a = 25[/tex]
In [tex](n_2,p_2) = (1,75)[/tex]
n = 1 and p = 75
Substitute these values in [tex]p = ab^n[/tex]
[tex]75 = ab^1[/tex]
[tex]75 = ab[/tex]
Substitute 25 for a
[tex]75 = 25*b[/tex]
Make b the subject
[tex]b = \frac{75}{25}[/tex]
[tex]b = 3[/tex]
So, we have:
[tex]a = 25[/tex] and [tex]b = 3[/tex]
The equation [tex]p = ab^n[/tex] becomes
[tex]p = 25(3)^n[/tex]
Equation representing the number of points 'P' in 'n' games will be [tex]P=25(3)^{n}[/tex].
Explicit formula of the Geometric sequence:a, ar, ar², ar³........arⁿ
There is a common ratio of 'r' in each successive term to the
previous term.
Therefore, it's a geometric sequence.
Explicit formula of a geometric sequence is given by,[tex]T_n=ar^{n-1}[/tex] (For n ≥ 1)
Here, [tex]a=[/tex] First term
[tex]r=[/tex] Common ratio
[tex]n=[/tex] nth term
Given in the table,
Common ratio (r) of any successive term to the previous term,[tex]r=\frac{75}{25}=3[/tex]
First term of the sequence 'a' = 25Explicit formula of the sequence will be,
[tex]P=25(3)^{n}[/tex] [For n ≥ 0]
Therefore, equation representing the number of points 'P' in 'n' games will be [tex]P=25(3)^{n}[/tex].
Learn more about the geometric sequence here,
https://brainly.com/question/11385300?referrer=searchResults
y = 3x - 2
y = 4x - 5
Answer:
x = 3
y = 7
Step-by-step explanation:
y=3x-2
y=4x-5
then 3x-2 = 4x-5
reduce
x = 3
y = 7
Answer:
SOLVE FOR Y
y=
2
x+5
SOLVE FOR X
x=2y−5
Step-by-step explanation:
Problem 1: The Jefferson Band is selling baked goods to raise money for their trip. Their goal is to
profit at least $500. Each baked good sells for $2 but costs $0.50 to make. How many baked goods
will they have to sell to meet the goal?
Answer
250
315
333
334
341
Answer:
334
Step-by-step explanation:
[tex]\color{plum}\tt\bold{(a) \: 250}[/tex]
○=> Steps to derive correct answer :Money Jefferson needs to collect = $500
Selling price of each baked good = $2
Cost price of each baked good = 0.50
Number of baked goods Jefferson need to sell to meet his goal :
[tex] =\tt \frac{500}{2} \times 0.50[/tex]
[tex] =\tt 250 \times 0.50[/tex]
[tex]\color{plum} =\tt 125 \: baked \: goods[/tex]
Thus, Jefferson needs to sell 125 baked goods.
▪︎Therefore, the correct option is (a) 125.
There are 1,775 pennies in Isaiah’s jar. If 25 pennies are needed to fill a bag, how many whole bags can Isaiah fill?
Answer:71
Step-by-step explanation:1775/25
Answer:
71 bags
Step-by-step explanation:
Each bag: 20 pennies
Pennies count: 1775
Final Answer: 71 bags
Explain:
1775 / 25 = 71