Step-by-step explanation:
Hey there!!!
Here,
The midpoint of AB is M(-3,-3) and coordinates of A is (-8,-2).
Now,
Using midpoint formulae,
[tex](x,y) =( \frac{x1 + x2}{2} ,\frac{y1 + y2}{2} )[/tex]
Put all values.
[tex]( - 3,- 3) = ( \frac{ - 8 + x}{2} , \frac{ - 2 + y}{2} )[/tex]
As they are equal, equating with their corresponding elements we get,
[tex] - 3 = \frac{ - 8 + x}{2} [/tex]
Simplify them.
[tex] - 6 = - 8 + x[/tex]
[tex]x = - 6 + 8[/tex]
Therefore, x= 2
Now,
[tex] - 3 = \frac{ - 2 + y}{2} [/tex]
Simplify them.
[tex] - 6 = - 2 + y[/tex]
[tex]y = - 6 + 2[/tex]
Therefore, y = -4.
Therefore, the coordinates of B are (2,-4).
Hope it helps...
Please help me to prove this!!!
Answer: see proof below
Step-by-step explanation:
Given: A + B + C = π → A + B = π - C
→ A + C = π - B
Use the Cofunction Identities: sin (π - A) = sin A
sin (A - π/2) = cos A
cos (π/2 - A) = - sin A
Use the Power Reducing Identity: sin ² A - sin² B = sin (A + B) · sin (A - B)
Use the Sum to Product Identity:
sin A - sin B = 2 [cos (A + B)/2] · [sin (A - B)/2]
Proof LHS → RHS:
LHS: sin² A - sin² B - sin² C
= (sin² A - sin² B) - sin² C
Power Reducing: sin (A + B) · sin (A - B) - sin² C
Given: sin (π - C) · sin (A - B) - sin² C
Cofunction: sin C · sin (A - B) - sin² C
Factor: sin C [sin (A - B) - sin C]
[tex]\text{Sum to Product:}\qquad \sin C\bigg[2\cos \bigg(\dfrac{(A-B)+C}{2}\bigg)\cdot \sin \bigg(\dfrac{(A-B)-C}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad \qquad =2\sin C\bigg[\cos \bigg(\dfrac{(A+C)-B}{2}\bigg)\cdot \sin \bigg(\dfrac{A-(B+C)}{2}\bigg)\bigg][/tex]
[tex]\text{Given:}\qquad \qquad 2\sin C\bigg[\cos \bigg(\dfrac{(\pi - B)-B}{2}\bigg)\cdot \sin \bigg(\dfrac{A-(\pi - A)}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =2\sin C\bigg[\cos \bigg(\dfrac{\pi -2B}{2}\bigg)\cdot \sin \bigg(\dfrac{2A-\pi}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =2\sin C\bigg[\cos \bigg(\dfrac{\pi}{2} -B}\bigg)\cdot \sin \bigg(A-\dfrac{\pi}{2}\bigg)\bigg][/tex]
Cofunction: 2 sin C (-sin B) · (cos A)
= -2 sin C · sin B · cos A
= -2 cos A · sin B · sin C
LHS = RHS: -2 cos A · sin B · sin C = -2 cos A · sin B · sin C [tex]\checkmark[/tex]
13.) The ratio of the weight of an object on Mars to the weight of that object on Earth is 4:10. If a rocket weighs 15 tons on earth, how many tons would it weigh on Mars? (Need help quick please)
Answer: 6 tons
Step-by-step explanation: 4:10 is also 2/5 so all we need to do is 2/5 of 15 which is 6. [15x(2/5)]
Hope this helps!
Please mark Brainliest!
10. The sum of the percent of dark red SUVs and white SUVs was
26.3%. What was the percent of dark red SUVs?
Answer:
it is 12.2
Step-by-step explanation:
what is the slope of 3y = 9 – 4x
Answer:
The slope is -4/3
I hope this helps :)
Find the distance between (-5,3) and (2,-1).
Answer:
distance = sqrt( 65 ) ~= 8.06
Step-by-step explanation:
To find the distance between two points, we can use the distance formula.
distance = sqrt( [x2 - x1]^2 + [y2 - y1]^2)
distance = sqrt( [-5 - 2]^2 + [3 - -1]^2)
distance = sqrt( [-7]^2 + [4]^2)
distance = sqrt( 49 + 16 )
distance = sqrt( 65 ) ~= 8.06
Cheers.
Answer: d=8.06
Step-by-step explanation:
To this the distance between two points, you would need the distance formula.
Distance Formula: [tex]d=\sqrt{(x_{2}-x_{1} )^2+(y_{2} -y_{1} )^2}[/tex]
Since we have two given points, all we have to do is plug them in.
[tex]d=\sqrt{(2-(-5) )^2+(-1 -3 )^2}[/tex] [parentheses]
[tex]d=\sqrt{(7)^2+(-4 )^2}[/tex] [exponent]
[tex]d=\sqrt{49+16}[/tex] [add]
[tex]d=\sqrt{65}[/tex] [square root]
[tex]d=8.06[/tex]
Now we know that the distance is d=8.06.
15. PART A: Write an algebraic expression for each verbal expression "the product of 9 and t squared, increased by the sum of the square of t and 2" *
Answer:
9t²+(t²+2)
Step-by-step explanation:
The product of 9 and t squared is expressed as 9×t² (product means multiplication)
9×t² = 9t²
Also, sum of the square of t and 2" is expressed as t² + 2 (sum means addition)
Finally, if the product of 9 and t squared, increased by the sum of the square of t and 2", the final expression will be the sum of the two expressions gotten. {Increment also means addition} i.e 9t²+(t²+2)
The algebraic expression is 9t²+(t²+2)
100 students went on a field trip. 6 buses were filled and 10 students traveled to the destination in cars with their parents. How many students were on each bus?
Answer:
15 students on each bus!
Step-by-step explanation:
100-10(with parents)
90÷6(how many busses)
15 students on each
The students travelling on each bus are 15.
What are arithmetic operations?The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.
Total number of students is given as 100.
The students to travel on car are 10.
Then, the students to travel on bus are given by following operation as,
Total students - Students to travel on car
⇒ 100 - 10 = 90
Now, the students on each bus can be obtained by using the division operation as below,
Students to travel on bus ÷ Total number of bus
⇒ 90 ÷ 6 = 15
Hence, the number of students on each bus is obtained as 15.
To know more about arithmetic operation click on,
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hey can someone help me?
In a social club, the ratio of men to women is 5: 7. There are 595 women. How
many men are there?
Answer:
52
you take 5 ÷ it by 7 the ×it by 595
A ratio is an ordered pair of numbers a and b written as a/b where b is not equal to zero.
if the number of women in the social club is 595 then the number of men in the social club is 425.
What are ratios and proportions?A ratio is an ordered pair of numbers a and b written as:
a / b where b does not equal 0.
A proportion is an equation in which two ratios are equal to each other.
We have,
The ratio of men to women:
= 5:7
= 5/7
Let,
The number of men = 5x
The number of women = 7x
Now,
If the number of women = 595
We have,
7x = 595
Multiplying both sides by 5/7 we get,
5/7 x (7x) = 5/7 x 595
5x = 5/7 x 595
5x = 5 x 85
5x = 425
This means if there are 435 men in the social club if the number of women is 595.
Thus if the number of women in the social club is 595 then the number of men in the social club is 425.
Learn more about ratios and proportions here:
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Yolanda is buying supplies for school. She buys n packages of pencils at $1.10 per package and m pads
of paper at $2.20 each. What does each term in the expression 1.1n +2.2m represent? What does the
entire expression represent?
The term 1.1n represents the (select)
The term 2.2m represents the (select)
The expression represents the (select)
1.1n represents the total cost of n packages of pencils.
2.2m represents the total cost of m pads of paper
The entire expression represents the total cost of Yolanda's school supplies.
What is the length of the segment connecting the points A(1,3) and B(6,5)?
Answer:
The answer is
[tex]\sqrt{29} \: \: \: or \: \: \:5.38 \: \: \: units[/tex]Step-by-step explanation:
The length of the segment connecting two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
A(1,3) and B(6,5)
The length is
[tex] |AB| = \sqrt{ ({1 - 6})^{2} + ({3 - 5})^{2} } \\ = \sqrt{ ({ - 5})^{2} + ( { - 2})^{2} } \\ = \sqrt{25 + 4} \\ = \sqrt{29} [/tex]
We have the final answer as
[tex] \sqrt{29} \: \: \: or \: \: \:5.38 \: \: \: units[/tex]
Hope this helps you
.what is .02 divied by .30 please dont show the calculator answer
Answer:
1/15
Step-by-step explanation:
.02 = [tex]\frac{2}{100}[/tex] and .30 = [tex]\frac{3}{10}[/tex]
cross multiply
[tex]\frac{2}{100}[/tex] ÷ [tex]\frac{3}{10}[/tex] = 2(10) ÷ 300
[tex]\frac{20}{300} = \frac{1}{15}[/tex]
Fraction answer: 1/15
Decimal answer: 0.066666666666667
A plumber charges $17 to visit a client's home, plus an additional $36 per hour. What is the
duration, in hours, of a plumber's visit that costs $89?
Answer:
I believe the duration for $89.00 is 2 hours
Step-by-step explanation:
We start off with the $17 dollars and calculate 36.00+36.00 for a total of $89. Therefore, (120 mins)/60=2 hours.
Because this is a linear problem, I'd use the slope-intercept formula:
[tex]y = mx + b[/tex]
where
m = slope (rise/run)
y = dependent value
x = independent value
b = constant value
Because the plumber charges $17 upon arrival, it is our constant. The $36 is our slope (per hour, per minute, per etc. is generally a give away). Additionally because the total cost of the plumber's visit depends on how long s/he stays at a client's home, the $89 is our y value. Therefore the equation should look like this:
[tex]89 = 36x + 17[/tex]
Solve for x by subtracting 17 from both sides of the equation then dividing by 36.
[tex]72 = 36x[/tex]
[tex]2 = x[/tex]
The plumber spent two hours at his/her client's home.
what is the area of the parallelogram 12cm 11cm 9cm ?
Answer:
1188
multiply the numbers
(4 x 10^4) x (2 x 10^-5)
A) 8 x 10^1
B) 8 x 10^-1
C) 2 x 10^9
D) 6x 101-1.
Five roses cost $25 how many Roses can you purchase for $75
Simplify this i need help
Answer:
Step-by-step explanation:
√2x(7 + √2x)
7√2x + √2x ·√2x
7√2x + 2x
or
2x + 7√2x
A is the answer
find the slope of the line that contains passes through the points (-2,6) and (-5,-1)
Answer:
slope = [tex]\frac{7}{3}[/tex]
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 ) = (- 2, 6) and (x₂, y₂ ) = (- 5, - 1)
m = [tex]\frac{-1-6}{-5+2}[/tex] = [tex]\frac{-7}{-3}[/tex] = [tex]\frac{7}{3}[/tex]
Solve
(6.0 x 10 ^4) + (3.0 x 10 ^4)
Answer:
9x10000 or 9.0 x 10^4
Step-by-step explanation:
6x104+3x104
Simplifies to:
9x10000
=9x10000
Mark Brainliest?
Answer:
9.0 x 10^4
Step-by-step explanation:
(6.0 x 10 ^4) + (3.0 x 10 ^4)
=> 6 x 10000 + 3 x 10000
=> 10000(6+3)
=> 9(10000)
=> 9 x 10^4
=> 9.0 x 10^4
Brooklyn bought 9 chicken wings for $12. What was the cost of the wings in wings per dollar?
Answer:
3/4 wings per dollar
Step-by-step explanation:
We want to find wings per dollar
9 wings/ 12 dollars
Divide top and bottom by 3
3/4 wings per dollar
True False: Complementary angles sometimes fom straight angles
Answer:
False
Step-by-step explanation:
Complementary angles form a right angle (L shape) and have a sum of 90 degrees. Supplementary angles form a straight line and have a sum of 180 degrees.
7(-7x-9) + 3x+2 = -5(-3x-8) + 6
The answer needs to be a fraction! Please help - asap - Thank you!
Answer:
-107/61
Step-by-step explanation:
-49x-63+3x+2=15x+40+6
-46x-61=15x+46
61x=-107
x=-107/61
the answer is 2/3 !!
yw gl
Please help, question is in photo below, about finding angles.AWARDING MORE POINTS
Step-by-step explanation:
[tex](2x + 23) + (9x - 5) = 11x + 18 \\ 11x + 18 = 95 \: \: \: \: 11x = 77 \\ x = 7 \\ abd = (2 \times 7) + 23 = 37 \\ dbc = (2 \times 9) - 5 = 13[/tex]
Answer:
x=7
m<ABD=37°
m<DBC=58°
Step-by-step explanation:
Add the two equations. They need to equal 95. Solve for x.
(2x+23)+(9x-5)=95
11x+18=95
11x=95-18
11x=77
x=7
Substitute 7 in for x to both equations to solve for the angle degrees.
m<ABD=2x+23 = 2(7)+23 = 14+23 = 37
m<DBC=9x-5 = 9(7)-5 = 63-5 = 58
CHECK: 37+58=95
What is the range of the relation of centimeters as a function of inches? {5.08, 10.16, 17.78, 25.4, 33.02} all positive integers x greater-than-or-equal-to 0 y greater-than-or-equal-to 0
Answer:
y>0 Option D
Step-by-step explanation:
Answer:
The answer is D.)
Step-by-step explanation:
This is right on edg. 2020
write a two column-proof
Answer:
1. number each step
2. start with the given informatiom
3. statements with the same reason can be combined into one step
4. draw a picture and mark it with the given information
5. you must have a reason for every statement
6. the order of the statements in the proof is not always fixed , but make sure the order makes logical sense
-5x - 16 + 3x = -23 - 9x
???Anyone I need help
Answer:
x=−1
Step-by-step explanation:
Let's solve your equation step-by-step.
−5x−16+3x=−23−9x
Step 1: Simplify both sides of the equation.
−5x−16+3x=−23−9x
−5x+−16+3x=−23+−9x
(−5x+3x)+(−16)=−9x−23(Combine Like Terms)
−2x+−16=−9x−23
−2x−16=−9x−23
Step 2: Add 9x to both sides.
−2x−16+9x=−9x−23+9x
7x−16=−23
Step 3: Add 16 to both sides.
7x−16+16=−23+16
7x=−7
Step 4: Divide both sides by 7.
7x
7
=
−7
7
x=−1
Answer:
x=−1
Answer: x= -1
Step-by-step explanation:
can anyone help me it’s algebra 2
Answer:
2.5
Step-by-step explanation:
4x+1=11
4x=11-1
4x=10
x=10/4
=2.5
CAN SOMEONE MAKE SENSE OUT OF THIS. please i need explaining!!! Shawn's square living room needs new flooring. He needs 196 square feet of flooring to cover the living room. What are the dimensions of Shawn's living room? Since Shawn's living room is in the shape of a square, we know that the length of each side is exactly the same. If we let s represent the length of the room, we can write an equation using the area of a square formula (A = s2). A=s•s=s2=196 Using the definition of square root: s2 = 196 s = ±√196 s = ±14 But since we are talking about the dimensions of Shawn's living room, the only real solution to this problem is 14 feet (because a solution of -14 feet would not be possible).
Step-by-step explanation:
Shawn's living room is a square, so all four sides are the same length. Area of a square is A = s², and we know the area is 196 ft². If substitute this for A:
196 ft² = s²
Take square root of both sides:
s = √(196 ft²)
s = ±14 ft
Since measurements of lengths can't be negative, s must be +14 ft. So Shawn's living room is 14 ft x 14 ft.
Answer:
14 ft x 14 ft.
Step-by-step explanation:
if de = 6x , EF =4x, and df =10 what is DE
Answer: 6
Step-by-step explanation:
Given DE, EF and DF, we know that DE and EF make up DF. We add DE and EF and set it equal to DF.
6x+4x=10 [add]
10x=10 [divide both sides by 10]
x=1
Now that we know x=1, we can plug that into DE.
6(1)=6
Now, we know that DE is 6.
I only need letter D
Answer:
its how much money he will get
Step-by-step explanation: