Answer:
Step-by-step explanation:
(x - 2)/2 = 1
x - 2 = 2
x = 4
(y + 5)/2= 1
y + 5 = 2
y = -3
(4, -3) Coordinates of B
The coordinates of endpoint B is (4,-3).
What is the line segment?In geometry, a line segment is a part of a line that is bounded by two end points, and contains every point on the line that is between end points.
Now it is given that,
Mid point of line segment = M(1,1) i.e. (x,y)
coordinates of A = (-2,5) i.e. (x₁ ,y₁ )
So we have,
x = 1
y = 1
x₁ = -2
y₁ = 5
Let the coordinates of the end point be B(x₂,y₂)
Since,
x = (x₁+x₂)/2
⇒ x₂ = 2x - x₁
Put the values we get,
⇒ x₂ = 2*1 - (-2)
⇒ x₂ = 2 + 2
⇒ x₂ = 4
Similarly,
y = (y₁+y₂)/2
⇒ y₂ = 2y- y₁
Put the values we get,
⇒ y₂ = 2*1- 5
⇒ y₂ = 2 - 5
⇒ y₂ = -3
Hence, the coordinates of endpoint B is (4,-3)
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What is the equation of the line that has a slope of -4 and goes through (-1,6)
Answer:
y = -4x + 2
Step-by-step explanation:
We know that the equation of slope is y = mx + bWe also know that the slope is -4 given in this problem So:y = -4x + bUsing the point (-1, 6), we can substitute this point into the above equation to solve for b. (6) = -4(-1) + b6 = 4 + bb = 2Therefore the equation of the line is y = -4x + 2The Navy Pier Ferris Wheel in Chicago has a circumference that is 56% of the circumference of the first Ferris wheel built in 1893. The Circumfrence of the Navy Peir wheel is 439.6 ft. What is the radius of the first ferris wheel?
Hey there! I'm happy to help!
439.6 is 56% of the first Ferris wheel. The word is means equals, so we can set up the following equation. We will call the original wheel w.
439.6=0.56w
We divide both sides by 0.56
w=785
We divide by 3.14 to find the diameter.
785/3.14=250
Radius is half of the diameter.
250/2=125
The radius of the first Ferris wheel is 125 ft.
Have a wonderful day! :D
Step-by-step explanation:
439.6=0.56w
We divide both sides by 0.56
w=785
We divide by 3.14 to find the diameter.
785/3.14=250
Radius is half of the diameter.
250/2=125
The radius of the first Ferris wheel is 125
125ft.
answerers about Caca Andika from Indonesiaanother maths question teehee
what is -6 over 3 divided by 2 over -9
Answer:
9
Step-by-step explanation:
1)First you want to write out your fractions:
-6 2
___ ÷ ___
3 -9
2)When you are dividing fractions, you will have to do the reciprocal (flipped version) of 2/-9 and multiply the two fractions instead.
This is how your equation should look like now:
-6 -9
___ • ___
3 2
3)Now you want to multiply the equation like this:
-6 -9 54
___ • ___ = ______ = 9
3 2 6
4)You should get an answer of 9.
-8(-x - 7) = 120
I forgot how to do equations pls help
Answer:
x = 8
Step-by-step explanation:
Given
- 8(- x - 7) = 120 ( divide both sides by - 8 )
- x - 7 = - 15 ( add 7 to both sides )
- x = - 8 ( multiply both sides by - 1 )
x = 8
On a fishing trip, you catch two fish. The weight of the first fish is shown. The second fish weighs at least 0.5 pound more than the first fish. Write an inequality that represents the possible weights w (in pounds) of the second fish.
Answer:
w >= 1.7
Step-by-step explanation:
fyi the >= mean less than or equal to
Sosa received $90 in gift cards to Coffee Crazee and each drink she purchases costs $4.75. Sosa also received $75 in gift cards to Fran's Frappes and each drink she purchases cost $3.25. How many drinks will Sosa have to purchase in order to have the same amount remaining on the gift cards from both shops? * 33
Answer:
90 -4.75x = 75 -3.25x
90-75= 4.75x-3.25x
x= 10
Step-by-step explanation:
Answer:
10 drinks
Step-by-step explanation:
We can set up an equation to find the amount of drinks needed, x.
[tex]90-4.75x = 75-3.25x[/tex]
Now let’s solve for x by isolating it on one side of the equation.
Subtract 75 from both sides:
[tex]15 - 4.75x = -3.25x[/tex]
Add 3.25x to both sides:
[tex]15-1.5x=0[/tex]
Add 1.5x to both sides:
[tex]15 = 1.5x[/tex]
Divide both sides by 1.5:
[tex]x = 10[/tex]
Hope this helped!
Which is a counterexample for the conditional statement shown?
If three distinct points lie in a plane, then the points can form a triangle.
The points form a different polygon.
The points form a circle.
The points form an open figure.
The points form a line.
Answer:
d
Step-by-step explanation:
If three distinct points lie in a plane, can also form a straight line. Therefore, option D is the correct answer.
Given that, if three distinct points lie in a plane, then the points can form a triangle.
We need to identify the counterexample for the conditional statement given.
What is a counterexample?A counterexample to a mathematical statement is an example that satisfies the statement's condition(s) but does not lead to the statement's conclusion. Identifying counterexamples is a way to show that a mathematical statement is false.
Now, if three distinct points lie in a plane, then the points always can not form a triangle.
If three distinct points lie in a plane, can also form a straight line.
Therefore, option D is the correct answer.
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∠A and \angle B∠B are vertical angles. If m\angle A=(3x+3)^{\circ}∠A=(3x+3) ∘ and m\angle B=(4x-8)^{\circ}∠B=(4x−8) ∘ , then find the value of x.
Answer:
The value of x is 11 degrees
Step-by-step explanation:
Here, given that two angles are vertical angles, we are interested in calculating the value of x. We simply want to use an important property of vertical angles to get the value of x as given in the question.
When we talk of vertical angles, they are angles which lies on opposite side to each other when we have two intersecting line.
By property, vertically opposite angles are equal.
Thus, in this case, we are to equate the angles we are having since they are both vertical angles;
Thus,
Mathematically;
angle A = angle B
3x + 3 = 4x -8
Collect like terms;
4x-3x = 3 + 8
x = 11 degrees
1/2z + 5 = 11 What is Z?
1/2 is a fraction.
Answer:
12
Step-by-step explanation:
Subtract 5 from both sides to get the equation
1/2z=6
Then, multiply both sides by two.
z=12
Z equals 12 because when you split it in half you will get 6 as the whole number. and 6 plus 5 = 11
If the multiplication expression below were written in exponential form, what
would the exponent be?
14 x 14 x 14 x 14 x 14
Answer:
14 x 14 x 14 x 14 x 14 = [tex]14^5\\[/tex]
Step-by-step explanation:
i need help im to lazy right now (5y+3)(3y-6
Answer:
15y²-21y-18
Step-by-step explanation:
(5y+3)(3y-6)15y²-30y+9y-1815y²-21y-18plz help ASAP I can't figure out
Answer:
x = ±√17
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side of the equation, you do to the other.
Also note that the x has a power of 2. To isolate the x, simply root both sides of the equation.
x² = 17 ; √x² = √17 ; x = ±√17
~
Action video rents dvds and video games to its customers. The cost to rent d, DVD movies, is $3.50 each and the cost to rent r, video games, is $2.50 each. Which of these represents the possible number of DVDs that could be rented for no more that $20?
Answer:
d = 5.71
Step-by-step explanation:
Let
Quantity of DVD movies = d
Quantity of Video games = r
Price of DVD movies = $3.50
Price of video games = $2.50
Total budget plan for DVD movies= $20
Which of these represents the possible number of DVDs that could be rented for no more that $20
Price of DVD movies × Quantity of DVD movies = $20
$3.50 × d = $20
3.50d = 20
Divide both sides by 3.50
d = 20/3.50
= 5.71
Approximately to the nearest whole number = 6
WHATS THE VALUE OF C?? 10 minutes!!
Lucy is going to the grocery store. She will buy 5 items. Every item she will buy is $2. Afterward, she will buy herself a milk shake for $3. How much will she spend at the store?
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Solve the following equation for x, and express its value in terms of c. 3(cx-7)=9
Answer:
x=10/c
Step-by-step explanation:
3(cx-7)=9
(cx-7)=3
cx=10
x=10/c
Answer:
x=10/c
Step-by-step explanation:
3(cx-7)=9
(cx-7)=3
cx=10
x=10/c
(3x+4y=18) (5x+6y=28)
Answer:
x = 2, y = 3
Step-by-step explanation:
Given the 2 equations
3x + 4y = 18 → (1)
5x + 6y = 28 → (2)
Multiplying (1) by 5 and (2) by - 3 , then adding will eliminate the term in x
15x + 20y = 90 → (3)
- 15x - 18y = - 84 → (4)
Add (3) and (4) term by term to eliminate x
2y = 6 ( divide both sides by 2 )
y = 3
Substitute y = 3 into either of the 2 equations and solve for x
Substituting into (1)
3x + 4(3) = 18
3x + 12 = 18 ( subtract 12 from both sides )
3x = 6 ( divide both sides by 3 )
x = 2
Solution is (2, 3 )
solve for the equation 5x+5=3x+11
URGENT PLS HELP
BD bisects ABC. Find each of the following
1. Find the measure of angle ABD if the measure of angle ABD = 6x + 4 and
the measure of angle DBC = 8x - 4
2. Find the measure of angle ABC if the measure of angle ABD = 5y - 3 and the
measure of angle DBC = 3y + 15.
NEED ASAP 100 POINTS!!!!!!!!!
Answer:
3) a. f(-4) = 2
b. f(0) = 0
c. f(3) = -1.5
d. f(-5) = 0
e. x = -4
f. x= 0
4) a. f(-1) = 1
b. f(3) = -1
c. 1
d. -5
5) f(6) = 2
f(2) = 4
f(0) = 7
f(5) = 1.5
x=4
Answer:
see below
answers as required.
3)
a. [tex]f[/tex](-4) = 2
b. [tex]f[/tex](0) = 0
c. [tex]f[/tex](3) = -1.5
d. [tex]f[/tex](-5) = 0
e. x = -4
f. x= 0
4)
a. [tex]f[/tex](-1) = 1
b. [tex]f[/tex](3) = -1
c. 1
d. -5
5)
[tex]f[/tex](6) = 2
[tex]f[/tex]f(2) = 4
[tex]f[/tex](0) = 7
(5) = 1.5
x=4
2 1/2 divided by 1 4/5 = ??????
Answer:
25 /18 = 1 7/18 ≈ 1.389
Answer:
1.38
Step-by-step explanation:
2.5/1.8
1) Which expression has the greatest value
when x=3?
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The expression that has the greatest value is 2x³
What is an expression?
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example:
2 + 3x + 4y = 7 is an expression.
2x + 4 - 5x is an expression.
3x = 4 is an expression.
We have,
We will find the value of the expression when x = 3.
2x³ = 2 x 3³ = 2 x 3 x 3 x 3 = 64
2x³ + 5 = 2 x 3³ + 4 = 64 + 4 = 68
(2x)³ = 2³ x 3³ = 8 x 27 = 216
(x - 1)³ = (3 - 1)³= 2³ = 8
We see that,
2x³ has the greatest value.
Thus,
The expression that has the greatest value is 2x³
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step by step what is -1/3 divided by 1/2
Answer:
-2/3
Step-by-step explanation:
Step 1:
-1/3 ÷ 1/2
Step 2:
-1/3 × 2/1
Answer:
-2/3
Hope This Helps :)
what is 0.72 bar as a fraction
Answer:
0.72 is the same as 72100 (try putting both into a calculator!) as you can view 1.00 as 11 . Reducing the fraction gives you 72100 = 1825 .
what is the product of 3.5 and 1.82
Answer:
6.37
Step-by-step explanation:
Product means multiply.
3.5x1.82=6.37
The product of 3.5 and 1.82 is 6.37 after using the concept of arithmetic operation the answer is 6.37.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
The product of 3.5 and 1.82
To calculate the product of 3.5 and 1.82:
We have:
Product of the numbers 3.5 and 1.82
= 3.5 ×1.8 (this represents a number expression)
The expression can define as the combination of constants and variables with mathematical operators.
Product of the numbers 3.5 and 1.82 = 6.37.
Thus, the product of 3.5 and 1.82 is 6.37 after using the concept of arithmetic operation the answer is 6.37.
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Match each product of powers with its simpled expression
Answer: what’s the answer
Step-by-step explanation:
[50pts] To find the Volume of a Cone you need to: (SELECT ALL THAT APPLY)
a) Find the radius of the base
b) Find the area of the base
c)Divide by 3 at the end
d) Multiply Length time Width
e) Find the height of the cone
Answer:
find the radius of the base
find the area of the base
find the height of the cone
divide by three at the end
Step-by-step explanation:
this is from the formulae of volume of the cone
1/3πr2h
PLEASE HELP I WILL MARK YOU BRAINLIEST
Answer:
33cm cubed
Step-by-step explanation:
6 blocks by 3 blocks by 2 blocks = 36 - 3 cause of the missing blocks = 33
if the spinner lands on green 10 times out of 60 spins,which statement true
Answer:
The spinner lands on green 5 times less than expectedStep-by-step explanation:
Since not provided, it is assumed that the spinner has 4 colors.
Probability of green is one out of four = 1/4
Probability of green out of 60 spins:
1/4*60 = 15 timesAs spinner lands on green 10 times, then it is 5 times less than expected.
Answer:
The spinner lands on green 5 times less than expectedFind m2ABC.
(3x - 70)
Answer:
Step-by-step explanation:
3x - 70 = x
2x = 70
x = 35
3(35) - 70
105 - 70 = 35
m<ABC = 35
answer is C
The value of the angle ∠ABC = 35°
What are Parallel Lines Cut by Transversal?
Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.
Corresponding angles
When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position
Alternate Interior Angles
Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.
Alternate Exterior Angles
The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.
Consecutive Interior Angles
When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.
Given data ,
Let the angle be ∠ABC = ( 3x - 70 )°
Now , from the figure ,
The value of angle ∠A = x°
The value of x° is equal to ( 3x - 70 )° because they are corresponding angles
Now , from the theorem of angles cut by transversal , we get
The pairs of angles formed on the same side of the transversal that are either both obtuse or both acute and are called corresponding angles and are equal in size
Each pair of corresponding angles on the same side of the intersecting transversal are equal to each other
So ,
Substituting the values in the equation , we get
x° is equal to ( 3x - 70 )°
x° = ( 3x - 70 )°
x = 3x - 70
Adding 70 on both sides of the equation , we get
3x = x + 70
Subtracting x on both sides of the equation , we get
2x = 70
Divide by 2 on both sides of the equation , we get
x = 35°
So , the value of ∠ABC = ( 3x - 70 )°
∠ABC = ( 3x - 70 )°
∠ABC = ( 135 - 70 )°
∠ABC = 35°
Hence , The value of the angle ∠ABC = 35°
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