The equation of the triangle's line of symmetry is Y= X+10.
Equation: The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
Symmetry: Symmetry means that one shape is identical to the other shape when it is moved, rotated, or flipped. If an object does not have symmetry, we say that the object is asymmetrical. The concept of symmetry is commonly found in geometry.
Isosceles triangle is a triangle that has at least two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case.
It is given that an isosceles triangle with sides A(-10,1) ; B (-6,3) ; C(-4,7) is drawn and we notice that, the mid point of AB is the perpendicular bisector of the line AB.
Mid point of AB = (-8,2)
Slope of AB = [(-10) - (-6)] / (1 - 3)
=> -4 / -2
=> 2
Slope of perpendicular bisector of AB = 1
Equation of the line of symmetry = (Y - 2) = 1 [X - (-8)]
=> Y - 2 = X + 8
=> Y= X+10
Therefore, the equation of the triangle's line of symmetry is Y= X+10.
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Which graph shows a non-proportional linear relationship between x and y?
Add your CORRECT Please
Answer:
IQR= (16)−(10)=6
Thus, option 'C' is true.
Step-by-step explanation:
Given the data
8, 9, 9, 10, 12, 12, 13, 14, 15, 15, 15, 16, 18, 19, 20
The interquartile range is equal to the difference between the 75th and the 25th percentiles
The 25th percentile is 10
The 75th percentile is 16
Finally,
IQR= (16)−(10)=6
Thus, option 'C' is true.
3(x + 5)2 + 6 vertex
Answer:
The equation does not match the form of any conic section.
Not a Conic Section
Step-by-step explanation:
If v2 = u2 + 2as, evaluate a when v = 5,
u = 2 and s = 7.
Answer:
a = 3/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
v² = u² + 2as
v = 5
u = 2
s = 7
Step 2: Evaluate
Subtract u² on both sides: v² - u² = 2asDivide 2s on both sides: (v² - u²)/(2s) = aRewrite: a = (v² - u²)/(2s)Substitute: a = (5² - 2²)/(2 · 7)Exponents: a = (25 - 4)/(2 · 7)Multiply: a = (25 - 4)/14Subtract: a = 21/14Simplify: a = 3/2Vaughn paints his porch floor and also the porch floors of 9 neighbors. Each floor is a rectangle that is 8.2 feet long and 6.7 feet wide. What is the exact total area of all the porch floors that Vaughn paints? Enter your answer in the box.
(My little sister needs help but I can't help her right now)
Answer:
494.46 feet²
Step-by-step explanation:
So the area of one porch floor is
=l×w
=8.2×6.7 feet²
=54.94 feet²
So he paints 9 porch floors
So the exact total area of all the porch floors that Vaughn paints is
=54.94×9 feet²
=494.46 feet²
What is the value of y?
A. 10
B. 110
C. 85
D. 55
Answer:
D. 55°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set Up Equation
40° + (y + 30)° + y° = 180°
Step 2: Solve for y
Combine like terms: 2y° + 70° = 180°Isolate y term: 2y° = 110°Isolate y: y° = 55°Which relation is a function?
{(1, −1), (−2, 2), (−1, 2), (1, −2)}
{(1, 2), (2, 3), (3, 2), (2, 1)}
{(1, 4), (2, 3), (3, 2), (4, 1)}
{(4, 2), (3, 3), (2, 4), (3, 2)}
Answer:
The answer to this question is B
Step-by-step explanation:
just believe
The Ratio of number x and four added by two
Answer:
The ratio of a number x and four added to two:
= 4x + 2 = 0
= 4x = -2
= 4x/4 = -2/4
= x = -2/4
= x = -1/2
Step-by-step explanation:
Hope this helped!
4r + 5y = 10
- 1 - 8 = 3y
Answer:
y = -3, r = 25/4
Step-by-step explanation:
4r+5y = 10
-1 - 8 = 3y <--- This can be simplified to:
-9 = 3y
-3 = y
Now we plug -3 into y in the first equation
4r + 5y = 10
4r + 5(-3) = 10
4r - 15 = 10
4r = 25
r = 25/4
A Cuban restaurant
donates 225 meals each hour. How
many meals does the restaurant
donate in 12 hours?
The PTO is hosting a donut and coffee day at the shcool. Each box of donuts and costs $9.00 and each cup of
coffee cost $0.50. The PTO spent $63 on the donuts and on the coffee.
What are the unknown quantities in this problem? Select all that apply.
The school where the donut and coffee day will take place.
The cost of each box of donuts.
The cost of each cup of coffee.
The number of boxes of donuts the PTO bought.
The number of cups of coffee the PTO bought.
Answer:
The school where the donut and coffee day will take place.
The number of boxes of donuts the PTO bought.
The number of cups of coffee the PTO bought.
need helpppp i have no idea what to do
Answer:
Line 1 and Line 2: Perpendicular
Line 1 and Line 3: Neither
Line 2 and Line 3: Neither
Step-by-step explanation:
We will write all lines in slope intercept form i.e [tex]y=mx+b[/tex]
where m is slope.
And check
a) If two lines are parallel they have same slope [tex]m_1=m_2[/tex]
b) If two lines are perpendicular they have opposite reciprocal slopes i.e [tex]m_1=-\frac{1}{m_2}[/tex]
Equation for Line 1: [tex]y=-\frac{4}{3}x-4[/tex]
Already in slope-intercept form
Slope for Line 1 m is: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex]
Equation for Line 2: [tex]6x-8y=-6[/tex]
Converting into slope-intercept form:
[tex]6x-8y=-6\\-8y=-6x-6\\y=\frac{-6x-6}{-8}\\y=\frac{-6x}{-8}+\frac{-6}{-8} \\y=\frac{3x}{4}+\frac{3}{4}[/tex]
Slope for Line 2 m is: [tex]\mathbf{m_2=\frac{3}{4}}[/tex]
Equation for Line 3: [tex]-4y=3x+7[/tex]
Converting into slope-intercept form:
[tex]-4y=3x+7\\y=-\frac{3}{4} -\frac{7}{4}[/tex]
Slope for Line 3 m is: [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]
Now, finding answers
Line 1 and Line 2
Checking their slopes: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex], [tex]\mathbf{m_2=\frac{3}{4}}[/tex]
Both lines are perpendicular because they have opposite reciprocal slopes
Line 1 and Line 3
Checking their slopes: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex], [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]
Slopes are neither same, nor opposite reciprocal, so they are neither
Line 2 and Line 3
Checking their slopes: [tex]\mathbf{m_2=\frac{3}{4}}[/tex], [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]
Slopes are neither same, nor opposite reciprocal, so they are neither
The answers are:
Line 1 and Line 2: Perpendicular
Line 1 and Line 3: Neither
Line 2 and Line 3: Neither
After a discount of 40%, the sale price of a ridepass at a fun park is $30 what was the orginal price
Multiply.
(1.6)⋅(−4.2)
A. −67.2
B. −6.72
C. 6.72
D. I don't know.
frist you multiply 1.6 with -4.2
7
Find the slope of a line that passes through the points (-5,3) and (-3, 8)
Answer:
-2/5
Step-by-step explanation:
hope this helps
10:Mohan lent altogether 6,600 to Ram and Shyam for 2 years. Ram agreed to
pay simple interest at 15 % p.a. and Shyam agreed to pay compound interest
at the same rate. If Ram paid Rs 112.50 more than Shyam as the interest, find
how much did he lend to each of them?
Answer:
Mohan lent 3600 to Ram and 3000 to Shyam.
Step-by-step explanation:
Given that Mohan lent altogether 6,600 to Ram and Shyam for 2 years.
Let Mohan lent x to Ram and y to Shyam
x+y=6600
Or, x=6600-y ...(i)
As Ram pays simple interest at 15 %=0.15 p.a, so, the interest paid by Ram in 2 years:
[tex]I=x\times 0.15 \times 2 \\\\\Rightarrow I=0.3x \\\\[/tex]
[tex]\Rightarrow I=0.3(6600-y) \\\\[/tex] [by using (i)]
[tex]\Rightarrow I=1980-0.3y \cdots(ii)[/tex]
As Shyam pays compound interest at 15 %=0.15 p.a,
so, the interest paid by Shyam in 2 years, C.I.= Final amount - Initial principal amount
[tex]C.I. = y(1+0.15)^2-y \\\\\Rightarrow C.I. = y(1.15^2-1) \\\\\Rightarrow C.I. = y(1.3225-1) \\\\\Rightarrow C.I. = 0.3225y \cdots(iii)[/tex]
As Ram paid Rs 112.50 more than Shyam as the interest, so by using equations (ii) and (iii),
[tex](1980-0.3y)-0.3225y=112.5 \\\\\Rightarrow 1980-0.3y-0.3225y=112.5 \\\\\Rightarrow 0.6225y=1980-112.5 \\\\\Rightarrow y = 1867.5/0.6225=3000[/tex]
From equations (i),
[tex]x=6600-3000=3600[/tex]
Hence, Mohan lent 3600 to Ram and 3000 to Shyam.
420 presents in 15 hours at this rate how many presents does Santa deliver in 5 hours
Answer:
140 Presenrs
Step-by-step explanation:
If Santa delivers 420 presents in 15 hours and to get to 5 hours you need to divide 15 to 3, so what you do to one number you must do to the other, so therefore divide 420 by 3 to get 140 presents in 5 hours.
Factor the following polynomial.
98x3 – 18x
Answer:
2x(7x - 3)(7x +3)
Step-by-step explanation:
Find common factors between the 2 numbers:
98x^3 - 18x
2x(49x^2 - 9)
now find what numbers multiplied together is 49, and find what numbers added together equals 0 and the product is 3, 7 times 7 is 49 and 3(-3) = 9 while 3 - 3 = 0 so:
2x(7x - 3)(7x +3)
Pls help I’m stuck on this question and I can’t figure it out! Will give brainliest!
Answer:
A, C, and D
Step-by-step explanation:
Parent function of y = x will be all linear equations that have the x variable with the exponent equal to one.
Answer:
A, C, and D.
Step-by-step explanation:
the other answer is not correct because i pressed on this to help you because my teacher actally just tought me that and so she just tought us (my class)
about this and she used this question for an example and she used that other answer and asked which ones where correct and i said A, C, And D.
and guess what? i got it correct! so trust me, you gotta do A, C, and D. i hope that helps you and please mark me brainlist have a nice day.
First answer gets brainiest
Answer:
52 degrees
Step-by-step explanation:
the sides are equal
Answer:
52 degrees
Step-by-step explanation:
since each side have one line, they are both equal, which means that x is also 52 degrees
hope this helps
take care
Find the m<2 if m<1=127 awnser choice a.106 b.127 c. 90 d.53
Please help
I will mark brainlest and theres alot of points :)
Answer:
answer is a
Step-by-step explanation:
5(2)=10+2(7)=24
Identify a solution to this system of equations:
[-4+3y=23]
[x-y=-7]
Answer:
solution for -4 + 3y = 23
3y = 23+4
3y = 27
y = 9
solution for X - y = -7
X = 1
y = 8
Answer: x = 2; y = 9
[tex]\left \{ {{-4+3y=23} \atop {x-y=-7}} \right.\\\\<=>\left \{ {{3y=27} \atop {x=y-7}} \right.\\\\<=>\left \{ {{y=9} \atop {x=y-7}} \right.\\\\<=>\left \{ {{y=9} \atop {x=2}} \right.[/tex]
Step-by-step explanation:
PLEASE HELP ME WITH THESE !!!
Answer:
T = 1 I = 5 R = 40
Step-by-step explanation:
Use cross multiply method or use scientific calculator to find it by shift solve method
Answer:
T= 1
I= 5
R= 40
Step-by-step explanation:
T: 28/7 = 4 so you should divide 7 by 7 to get t
I: 12/4 is 3 so you should divide 20 by 4 to get I
R: 36/9 is 4 so multiply 10 times 4 to get R
Solve the following and check for extraneous solutions
√4x + 8= x+ 3
Answer:
X=-5
Step-by-step explanation:
√4x+8=x+3
Simplifies to:
2x+8=x+3
Let's solve your equation step-by-step.
2x+8=x+3
Step 1: Subtract x from both sides.
2x+8−x=x+3−x
x+8=3
Step 2: Subtract 8 from both sides.
x+8−8=3−8
x=−5
Emmet walks 0.4 miles on each trip to the park. How far will Emmet walk if he makes 4 trips to the park?
Miles
Emmet will walk 1. 6 miles if he makes 4 trips to the park
How to determine the valueFrom the information given, we have that;
Emmy walks 0. 4 miles per tripHe wants to walk 4 tripsIt is important to note that proportion is the mathematical comparison of two numbers or elements
If 0. 4 miles is equivalent to 1 trip
Then x miles is equivalent to 4 trips
cross multiply
x = 0 . 4 × 4
Multiply through
x = 1. 6 miles
Thus, Emmet will walk 1. 6 miles if he makes 4 trips to the park
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Which line show the first error in the solution?
3(x−2)=18 (1)
3x−6=18 (2)
3x−6+6=18+6 (3)
3x=24 (4)
x=21 (5)
Line 2
Line 4
Line 5
Line 3
Answer:
Line 3
Step-by-step explanation:
Proper solution step-by-step:
1. 3(x-2)=18
2. 3x - 6 = 18
3. 3x = 18 + 6
4. 3x = 24
5. x = 8
Help me please!! I cannot do math! :D
Answer:
Dude PDF is not a question
Step-by-step explanation:
3.
=45x-27
=9(5x-3)
4.
=6x+75x²
=3x(2+9x)
17.
22=16+x+3+14+57
5
110=90+x
110-90=x
x=20
John and his best friend found some money. They split the money evenly, each getting $14. How much money did they find?
Answer:
$28
Step-by-step explanation:
John and his best friend each got $14, so in total there are $14+$14=$28.
Answer:
$28
Step-by-step explanation:
If they split the money evenly then both of them got half.
So, multiply 14 by 2 to find the answer:
(14)(2) = 28
John and his best friend found a total of $28.
I hope this helps!!
- Kay :)
determine the slope of the lines.
line 1: y=9
line 2: x=-3
are the slopes parallel, perpendicular, or neither?