A mid-point divides a line segment into 2 equal parts . Hence the line is divided in 1 : 1 ratio.
Let
x(1) = -1
y(1) = -2
x(2) = -3
y(2) = 13
So according to Section formula , cordinate of the mid - point (x' , y') =
[tex](x' , y') = ( \frac{ {x}^{1} + {x}^{2} }{2} , \frac{{y}^{1} + {y}^{2} }{2} )[/tex]
So using the formula & putting the values above
[tex]( \frac{ - 1 - 3}{2} , \frac{ - 2 + 13}{2} )[/tex]
[tex] = > ( \frac{ - 4}{2} , \frac{11}{2} )[/tex]
[tex] = > ( - 2 , 5.5)[/tex]
So the mid - point is (-2 , 5.5)
A group of 11 people are going to the movies one Saturday. Adult tickets cost $12.50 each and child tickets cost $7.75 each. If the total cost for admission to the movies is $109.00, how many children attended the movie?
a.) 4
b.) 5
c.) 6
d.) 7
Answer: c=6
Step-by-step explanation: $12.50 x 5 adults = $62.50. $7.75 X 6 children = $46.50. $62.50 + $46.50 = $109
what examine the rotation. which best describes point D
Answer:
center of rotation
Step-by-step explanation:
Write the equivalent expression (5x-3x2)-(5x-2)×(10x+7x2)in standard form:
Answer:
-35x³ - 39x² + 25x
Step-by-step explanation:
Step 1: Write out expression
(5x - 3x²) - (5x - 2)(10x + 7x²)
Step 2: Distribute/Expand
5x - 3x² - (50x² + 35x³ - 20x - 14x²)
Step 3: Combine like terms
5x - 3x² - (36x² + 35x³ - 20x)
Step 4: Distribute negative
5x - 3x² - 36x² - 35x³ + 20x
Step 5: Combine like terms
-35x³ - 39x² + 25x
Answer:
WAIT standard .?
Step-by-step explanation:
The sum of three numbers is 109. The second number is 4 times the first number and the third number is 8 less that the second number. What are the three numbers?
Answer:
I think the answers are 19, 17 and 76.
I am not sure...
What is the completely factored form of xy - 4xły - 5y?
A watch was brought
for a rs 4444. At what price
sold to gain
should it be
rs 444?
Answer:
Hence, the watcg must be bought at rupees 4888
Step-by-step explanation:
Let the desired selling price of the watch be x
Cost Price of the watch = 4444
We know that if Cost Price < Selling Price,
Selling Price - Cost Price = gain
When we substitute we get,
x-4444=444
x= 4888
Help me please please!!
Answer: Robert put 5 * (8) * 2 instead of putting 5 * (-8) * 2
Please Mark me as brainliest
HELPP. In words, write the meaning of: √a+3
Answer:
square root of a plus 3
Step-by-step explanation:
3) Sue and Jim are driving on the highway. Sue takes 24 minutes to drive 40 km. If Jim drives
at the same rate, how long will it take for him to drive 115 km?
69 minutes
Answer:
69min
Step-by-step explanation:
sue: 24min 40km
.6 min per 1km
×115
115 km = 69 min
ashley spends $12 to buy 3 pencils and 6 rulers. Jack spends $8 to buy 5 pencils and 2 rulers. what is the cost of 2 pencils and 2 rulers?
Answer:
$ 3 left ashley money
$ 1 left jacks money
$ 8 left ashley money
$ 4 left jacks money
Step-by-step explanation
3 pencils + 6 rulers = 12 - 9 = 3
5 pencils + 2 rulers = 8 - 7 = 1
12 - 4 = 8
8 - 4 = 4
Answer:
I am guessing 2 rulers are two dollars and 2 pencil are 4 dollars
Given the following formula, solve for t.
V = u + at.
A. t= a(v – u)
B. t = v-u/a
C. t=v+u/a
D. t =a(v + u)
Find the slope of the line parallel to the given line.
y= 2/5x+2
Slope:
[tex]\sf{\dfrac{2}{5}}[/tex]
Explanation:
Parallel lines have the same slope, so the slope of y = 2/5x + 2 will be the same as the slope of the line which is parallel to it.
The equation is written in slope-intercept form, aka y = mx + b, where m is the slope and b is the y-intercept.
In slope intercept, the slope is always the number that comes before x.
For this equation, the number in front of x is 2/5.
So, I come to the conclusion that the slope of the line parallel to y = 2/5x + 2 is 2/5.
What is the square root of 10p^3
Answer:
Factor 10 into its prime factors
10 = 2 • 5
To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.
In our case however, all the factors are only raised to the first power and this means that the square root can not be simplified
At the end of this step the partly simplified SQRT looks like this:
sqrt (10p3)
STEP
2
:
Simplify the Variable part of the SQRT
Rules for simplifing variables which may be raised to a power:
(1) variables with no exponent stay inside the radical
(2) variables raised to power 1 or (-1) stay inside the radical
(3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:
(3.1) sqrt(x8)=x4
(3.2) sqrt(x-6)=x-3
(4) variables raised to an odd exponent which is >2 or <(-2) , examples:
(4.1) sqrt(x5)=x2•sqrt(x)
(4.2) sqrt(x-7)=x-3•sqrt(x-1)
Applying these rules to our case we find out that
SQRT(p3) = p • SQRT(p)
Combine both simplifications
sqrt (10p3) =
p • sqrt(10p)
Simplified Root :
p • sqrt(10p)
What is the angle of elevation of the sun when a pole 32.0 ft tall casts a shadow 45.0 ft long
As you can see in the first drawing, the vertical line represents the pole which is 32.0 ft long and the horizontal line represents the shadow casted by the pole which is 45.0 ft long. The angle θ, represents the angle of elevation of the sun.
We can solve this problem using trigonometric ratios, that is sine, cosine, and tangent. Remember SOH CAH TOA?
SOH
[tex]sin = \frac{opposite}{hypotenuse} [/tex]
CAH
[tex]cosine = \frac{adjacent}{hypotenuse} [/tex]
TOA
[tex]tan = \frac{opposite}{adjacent} [/tex]
In this case, we're going to use TOA since we are given the height of the pole which represents the line opposite the angle of elevation, and the length of the shadow of the pole which represents the line adjacent to the angle of elevation.
adjacent, a = 45.0
opposite, o = 32.0
So, to find the angle of elevation, refer to the second picture above.
please help. it’s about density
1. 4 g/mL
2. 2 g/mL
3. 5 mL
4. 400g
5. 25g
6. 2 cm^3
7. 2 g/cm^3
Rewrite in simplest terms: -5a – 86-8a + 1)
Answer:
- 13a - 85
Step-by-step explanation:
Given
- 5a - 86 - 8a + 1 ← collect like terms
= (- 5a - 8a ) + (- 86 + 1)
= - 13a + (- 85)
= - 13a - 85
Answer:
-13a - 85
Step-by-step explanation:
Collect the like terms
-5a -8a = -13a
Then calculate the sum
-86 + 1 = -85
and then you get your answer
-13a - 85
What is the same value as the expression 7/5+2 1/4+1.6
Use dimensional analysis to convert 9 milliliters to fluid ounces. Use 1 mL ≈ 0.034 fl oz.
Answer:
0.306 fl oz.
Step-by-step explanation:
9 mL * (0.034 fl oz / 1 mL) = 0.306 fl oz [the millilitres canceled out].
Hope this helps!
6(m+2)+6m=-5(-7m-7) Solve for m.
Answer:
m = -1
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
m = -1
☽------------❀-------------☾
Hi there!
~
Let's solve your equation step-by-step.
[tex]6(m+2)+6m=-5(-7m-7)[/tex]
Step 1: Simplify both sides of the equation.
[tex]6(m+2)+6m=-5(-7m-7)[/tex]
[tex](6)^{(m)} + (6)(2)+6m= (-5)(-7m)+(-5)(-7)[/tex] (Distribute)
[tex]6m+12+6m=35m+35[/tex]
[tex](6m + 6m)+(12)=35m + 35[/tex] (Combine Like Terms)
[tex]12m + 12 = 35m + 35[/tex]
[tex]12m + 12 = 35m + 35[/tex]
Step 2: Subtract 35m from both sides.
[tex]12m + 12 - 35m = 35m + 35 - 35m[/tex]
[tex]-23m + 12 = 35[/tex]
Step 3: Subtract 12 from both sides.
[tex]-23m + 12 - 12= 35 - 12[/tex]
[tex]-23m = 23[/tex]
Step 4: Divide both sides by -23.
[tex]\frac{-23m}{-23} = \frac{23}{-23}[/tex]
[tex]m = 1[/tex]
❀Hope this helped you!❀
☽------------❀-------------☾
Erica has saved $2400.if she spends $45 per day then what is the first day that her balance will be $500 or less
Answer:
The 43rd day of spending $45.
Step-by-step explanation:
Let the number of days = x.
If she spends $45 per day, then in x days she spends 45x.
She starts with $2400, so 45x is subtracted from 2400.
2400 - 45x < 500
Subtract 2400 from both sides.
-45x < -1900
Divide both sides by -45. Remember to change the direction of the inequality sign when multiplying or dividing by a negative number.
x > 42.2
Answer: The first day is the 43rd day of spending $45.
30 – 2а — 4) + За
Which expressions are equivalent?
Answer:
=2456
Step-by-step explanation:23456
Find the distance between the points (6, 9) and (0, 1).
Write your answer as a whole number or a fully simplified radical expression. Do not round.
units
Answer:
D= 10
Step-by-step explanation:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d=\sqrt{(0-6)^2+(1-9)^2}\\d=\sqrt{(-6)^2+(-8)^2}\\d=\sqrt{(36)+(64)}\\d=\sqrt{100}\\d=10[/tex]
Write a formula for the area of the regular polygon.
Answer:
The area of any regular polygon is given by the formula: Area = (a x p)/2, where a is the length of the apothem and p is the perimeter of the polygon.
Step-by-step explanation:
Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients. The formula when solved for h will be equal to A/4b.
What is a polynomial?Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication, and non-negative exponentiation of variables involved.
A.)
For the given octagon, if its diagonals are made then it will be divided into 8 triangles, such that each triangle will be equal to the other.
Now, if the area of a single triangle is calculated then the area of the triangle will be,
Area of triangle = (1/2) × b × h
Further, since there are 8 triangles, therefore, the area of the octagon can be written as,
Area of octagon = Area of triangle × 8
= (1/2) × b × h × 8
= 4bh
Hence, the area of the octagon is 4bh.
B.)
The formula can be solved for h as shown below,
Area of octagon = 4bh
A = 4bh
Divide both the sides by 4b, therefore, we can write,
A/4b = 4bh/4h
h = A/4b
Hence, the formula when solved for h will be equal to A/4b.
Learn more about polynomials here:
https://brainly.com/question/27343162
#SPJ2
Solve 2.5 = 6
(answer should start with x=)
Answer: x=3.5
Step-by-step explanation:
The area of a circle is 201cm² . what is the diameter ?
The answer is 16 cm approx.
Diameter= 2[tex]\sqrt{a/pi}[/tex]
=>2[tex]\sqrt{201 / 22/7}[/tex]
=>2[tex]\sqrt{201*7/22}[/tex]
=>15.997.......
=> 16 approx
Hope this helps you!!
Answer:
The diameter of the circle is 16
Step-by-step explanation:
[tex]\pi = 3.14[/tex]
Area = [tex]\pi r^{2}[/tex] you will have to use this formula to find the radius
[tex]\pi r^{2} = 201[/tex] = [tex]3.14r^{2}=201[/tex] (divide 3.14 into both sides)
[tex]\frac{3.14r^2}{3.14} = \frac{201}{3.14}[/tex] cross out 3.14 leaves you with [tex]r^2[/tex] and divide 201/3.14= 64.01
[tex]r^2 = 64.01\\r = \sqrt{64.01}\\r = 8[/tex] square root 64.01 which equals 8
Diameter = [tex]2r[/tex] 2(8) = 16
To check answer use Area formula [tex]\pi (8)^{2}[/tex] = 201. 0619298
If ray US is an angle bisector of ∠RUT, find m∠RUT. A. m∠RUT = 80° B. m∠RUT = 40° C. m∠RUT = 20° D. m∠RUT = 10°
Answer:
Answer: m<RUT=80
Step-by-step explanation:
took the test
If ray US is an angle bisector of ∠RUT, m∠RUT = 80°.
What is a bisector in the triangle?
The angle bisector of an angle of a triangle is a straight line that divides the angle into two congruent angles. The three angle bisectors of the angles of a triangle meet in a single point, called the incenter.
What is the angle bisector formula?According to the angle bisector theorem, PQ/PR = QS/RS or a/b = x/y. An angle bisector is a line or ray that divides an angle in a triangle into two equal measures.
Learn more about angle bisector here https://brainly.com/question/24334771
#SPJ2
5) Determine the Distance between (-3, 1) and (5,-6). Round your answer 10 points
to the nearest tenth. *
22
3
4
5
-2
0
-4
-2
-3
-4
-5
-6
it is 10.63
Step-by-step explanation:
Used a calculator
CAN SOMEONE HELP ME? You just have to check if I'm right and I need the answer to 13 plzzz?? It would be greatly appreciated! I will give you a brainest!! It is geometry.
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
∠GMP and ∠AMP are linear pair
∠EPM and ∠CPM are linear pair
The instructor had saved $3,500 and rents an apartment for $275 monthly. He believes the point (6, 1850) would be on the equation of the line. Is he correct? Explain how to check if a point is on a line. Please I need this right knowWrite a sentence using an adverb clause illustrating the following usage. contrast
Answer:
Sample Answer: Write the equation using slope and y-intercept in slope-intercept form, y = –275x + 3500. Then, substitute the x and y values of the point into the equation, 1850 = –275(6) + 3500. Simplify to see if both sides are equivalent. Yes, the instructor is correct because both sides are equivalent.
Step-by-step explanation:
Answer:Sample Answer: Write the equation using slope and y-intercept in slope-intercept form, y = –275x + 3500. Then, substitute the x and y values of the point into the equation, 1850 = –275(6) + 3500. Simplify to see if both sides are equivalent. Yes, the instructor is correct because both sides are equivalent.
Step-by-step explanation:
I don't know. can someone help please??
Answer:
what
Step-by-step explanation:
Answer:
3rd option
Step-by-step explanation:
__
PQ means the whole length of PQ, same goes to the others (QR and PR)
The first option means the angles P, Q and R
The second option means the points P, Q and R