Answer:
(4, -6)Step-by-step explanation:
The formula of a midpoint of the segment AB:
[tex]M_{AB}\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right)[/tex]
We have A(7, -2) and B(1, -10). Substitute:
[tex]M_{AB}\left(\dfrac{7+1}{2};\ \dfrac{-2+(-10)}{2}\right)\\\\M_{AB}\left(\dfrac{8}{2};\ \dfrac{-12}{2}\right)\\\\M_{AB}(4;\ -6)[/tex]
After traveling 345 miles, the Johnston family stopped at a rest stop for lunch. Looking at the map, they realized they had completed 3/5 of the trip. If d represents the total distance in miles, which equation can be used to find d?
A. 3/5 divided by d = 345
B. 3/5 x d = 345
C. 345 x d = 3/5
D. 345 divided by d = 5/3
Answer:
B
Step-by-step explanation:
Answer:
B. 3/5 x d = 345
Step-by-step explanation:
−7x + 25 = 48 Step 1: −7x + 25 − 25 = 48 − 25 Step 2: −7x = 23 Step 3: negative seven times x over seven = twenty-three over seven Step 4: x = twenty-three over seven Step 1: He should have added 25 to each side. Step 1: He should have divided both sides by −7. Step 3: He should have divided both sides by −7. Step 3: He should have multiplied both sides by −7.
Answer:
Step 3: He should have divided both sides by −7
Step-by-step explanation:
Incorrect calculation
−7x + 25 = 48
Step 1: −7x + 25 − 25 = 48 − 25 Step 2: −7x = 23
Step 3: negative seven times x over seven = twenty-three over seven
-7*x/7 = 23/7
-7x/7 = 23/7
Step 4: x = twenty-three over seven
Correct calculation
−7x + 25 = 48
Step 1: −7x + 25 − 25 = 48 − 25 Step 2: −7x = 23
Step 3: negative seven times x over seven = twenty-three over seven
-7*x/-7 = 23/-7
-7x/-7 = 23/-7
Step 4: x = twenty-three over negative seven
x = -23/7
Solve for n, 4 x n = 7 x 16
Answer:
n=28
Step-by-step explanation:
Do I have to explain how i got the answer?
Answer:
4n=112
n=112/4
n=28
Step-by-step explanation:
Please give me brainliest, if I helped you
3 3/10 ÷ 1 4/7?
erdtcfyvghb (random stuff, it claims my question is too short. ignore this part!)
Answer:
2 1/10 would be your answer
Answer:
The answer is 21/10 or 2.1
Consider function f.
f(x)= x^3 + 2x^2 - 5x - 6
Select the locations of the zeros of function f on the coordinate plane. Then select the end behavior of its graph.
Answer:
x = 2, x = -1, x = -3As x approaches negative infinity, f(x) approaches negative infinityStep-by-step explanation:
Given function
f(x)= x^3 + 2x^2 - 5x - 6Finding zero's
x^3 + 2x^2 - 5x - 6 = 0x^3 - 2x^2 + 4x^2 - 8x +3x - 6 =(x - 2)(x^2 + 4x + 3) = (x - 2)(x^2 + x + 3x + 3) = (x - 2)(x(x + 1) + 3(x + 3)) =(x - 2)(x + 1)(x + 3)Zero's are
x = 2, x = -1, x = -3See the graph attached
Correct end behavior as per graph:
As x approaches negative infinity, f(x) approaches negative infinityAnswer:
As x approaches negative infinity, f(x) approaches negative infinity
Step-by-step explanation: Plato
A man wants to cut down a tree in his yard. To ensure that the tree doesn’t hit anything he needs to know the height of the tree. He measures his distance from the tree at 18 meters and the angle of elevation to the tree at 80 degrees. What is the height of the tree to the nearest tenth of a meter?
Answer:
[tex]\boxed {\boxed {\sf 102.1 \ meters}}[/tex]
Step-by-step explanation:
Let's assume the tree forms a right angle with the ground.
The distance from the tree to the man is 18 meters. The angle of elevation, which is 80 degrees, is the angle from where the man is to the top of the tree. We want to find the height of the tree, which we can call x.
Let's draw a diagram. (not to scale)
We can use sine (opposite/hypotenuse), cosine (adjacent/hypotenuse) or tangent (opposite/adjacent). We base the sides off of the elevation angle.
x is opposite the elevation angle and 18 is adjacent to the angle. So, we must use tangent.
[tex]tan(\theta)=opposite/adjacent[/tex]
The angle (θ) is 80. The opposite is x. The adjacent is 18.
[tex]tan(80)=x/18[/tex]
Now, solve for x by isolating it.
x is being divided by 18. The inverse of division is multiplication. Multiply both sides of the equation by 18.
[tex]18*tan(80)=x/18*18[/tex]
[tex]18*tan(80)=x[/tex]
[tex]18*5.67128182=x[/tex]
[tex]102.0830728=x[/tex]
Round to the nearest tenth. The 8 in the hundredth place tells us to round up.
[tex]102.1\approx x[/tex]
The height of the tree is about 102.1 meters.
**diagram is not to scale
What is the quotient of -3/8 and -1/3?
Answer:
1[tex]\frac{1}{8}[/tex]
Step-by-step explanation:
I used my calculators.
You help out at the bowling alley on weekends. One of the arcade games has a bin filled
with stuffed animals. A robotic arm randomly grabs a stuffed animal as a prize for the
player. You are in charge of filling the bin.
You are told that the probability of getting a stuffed giraffe today is 0.4. If there are 28
giraffes in the bin, what is the total number of stuffed animals in the bin?
Answer:
28/0.4,= 28/(2/5)=28*5/2=14*5=70, no need to use calculator
check 70*0.4=28
Step-by-step explanation:
There are 14 teams in a basketball league.
Each team plays every other team twice
during the season.
a) Suppose that you want to determine
how many games, in total, are played.
Suggest a simpler problem that you
could solve first.
b) How many games, in total, are played
during the season?
Answer:
Step-by-step explanation:210 games
14+13+12... (x2)
The total number of games played is 182.
What is permutation?The number of possible arrangements for a given set is calculated mathematically using permutation, where the arrangement's order matters.
Given that, there are 14 teams and each team plays twice with the other team.
Since each team plays every other team twice, the total number of games is nothing but the permutation of 2 out of 14 which is given by:
₁₄P₂
=14!/((14-2)!)
= (14×13×12!)/ 12!
= 14×13
=182
Hence, the total number of games played is 182.
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help me I only have until 8:50 to finish this please help me
1a) f(4) = 2
1b) x = 1 and x = 3
2a) g(3) = 55
2b) If you work 5 hours... you could expect to earn $85 (according to the function)
8x+3y=14,2x+y=4. PLz solve this it’s emergency
Answer:
x=1, y=2
Step-by-step explanation:
1) 8x+3y=14 Original system of linear 2d equations
2x+y=4
2) 8x+3y=14
-4 (2x+y) =-4(4) Multiply second equation by negative four.
3) 8x+3y=14
+ -8x-4y=-16 Add equations, eliminating x terms
4) -y=-2
y=2 solve for y
5) 8x+3(2)=14 Substitute solution for y to solve for x
8x=14-6
8x=8
x=1
The y-intercept of a parabola is 1, and its vertex is at (1,0). What function does the graph represent?
A.
f(x) = (x − 1)2
B.
f(x) = (x + 1)2
C.
f(x) = -1(x − 1)2
D.
f(x) = -1(x + 1)2
Answer: A. f(x) = (x - 1)²
Step-by-step explanation:
i need help no this
Answer:
a) 0.8
b) 0.075
c) 0.04
d) 3.3125
Step-by-step explanation:
To find the decimal of a fraction, just divide.
And if it's a mixed number, first turn it into an improper fraction. For 3 5/16 multiply 3 by 16 then add the product to 5. It would be 53/16
The cost, in dollars, of parking a car in a busy downtown area for h hours is $15 + $5h. Which statement is correct? A. For every hour the car is parked, the cost increases by $10. B. For every hour the car is parked, the cost increases by $5. C. For every hour the car is parked, the cost increases by $20. D. For every hour the car is parked, the cost increases by $15.
Answer:
For every hour the car is parked, the cost increases by $5.
Step-by-step explanation:
The cost, in dollars, of parking a car in a busy downtown area for h hours is $15 + $5h.
The fixed cost for the parking is $15. Here, $5 is extra. It increases as the number of hours increases. For every hour, the cost increases by $5. Hence, the correct statement for the given problem is (C) "for every hour the car is parked, the cost increases by $5".
Write an informal proof to show triangles ABC and DEF are similar. Please don’t answer if you don’t know!!
Answer:
ΔABC ~ ΔDEF
Step-by-step explanation:
If the given triangles ΔABC and ΔDEF are similar,
Their corresponding sides will be proportional.
[tex]\frac{\text{AB}}{\text{DE}}=\frac{\text{BC}}{\text{EF}}=\frac{\text{AC}}{\text{DF}}[/tex]
By substituting the measures of the given sides,
[tex]\frac{4}{2}=\frac{6}{3}=\frac{2}{1}[/tex]
2 = 2 = 2
Since, corresponding sides of both the triangles are proportional, both the triangles will be similar.
ΔABC ~ ΔDEF
Tell what number you would add to each side of the inequality to solve the inequality.
f-2 ≤ 3
Add ___ to each side of the inequality
Answer: Add 2 to each side
We do this to undo the "minus 2" or "subtract 2" that is happening to the variable f. Addition is the opposite of subtraction.
Solving that inequality leads to [tex]f \le 5[/tex] meaning f can be 5 or smaller.
9) Brenn has $60 in his savings account. His brother Chris has $135 in his. Brenn decides to save $5 of his allowance each week, while Chris decides to spend his whole allowance along with $10 of his savings each week. After how many weeks will Brenn and Chris have the same amount of money in their savings accounts?
Answer:
9) 15
Step-by-step explanation:
in order to solve for x which trig function would be used cosine sine or tangent
Answer:
Cosine
Step-by-step explanation:
I took the test
In order to solve for x , we use the trigonometric function cosine
What are trigonometric relations?
Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the triangle be ΔABC , where ∠B = 90°
Let the side AB be x
So , the adjacent side = x
The angle of the triangle ∠A is = 72°
So , θ = 72°
The hypotenuse AC = 8
And , by trigonometric relations , we get
cos θ = adjacent / hypotenuse
Substituting the values in the equations , we get
cos 72° = x / 8
Multiply by 8 on both sides , we get
x = cos 72° × 8
Now , cos 72° = 0.30901
Substituting the value of cos 72° , we get
x = 0.30901 × 8
x = 2.472
Hence , the value of x is determined by cosine function
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While traveling in Canada, a police officer pulls you over for speeding. The posted speed limit is 100
km/hr. She asks you if you know how fast you were driving. You suddenly realize that your
speedometer's "100" measures miles/hr, not km/hr. How fast were you going?
Answer:
Speeding at 160.934 km/hr
Step-by-step explanation:
1 mile = 1.609344 kilometers
1.609344 * 100 = 160.934 kilometers
Triangle TUV, with coordinates T (3, 3), U(3, -2), and V(-7,3), undergoes a dilation about the origin to produce triangle
WXY. If triangle W XY has coordinates W(6,6), X(6,-4), and Y(-14,6), what is the scale factor?
Answer:The scale factor is 2
Step-by-step explanation:
I took the test and I got it right
Answer:
Step-by-step explanation:
It’s 2
1. What is the value of this expression when c = 4?
4C+ 3c- 2c
Answer:
20
Step-by-step explanation:
4(4)+3(4)-2(4)=20
PLZ HELP I've been working on this for half the day, and I can't stand it. Solve and show your work.
Answer:
(5, 50)Step-by-step explanation:
Equation for weight of toy cars:
y = 9x + 5Equation for weight of toy trucks:
y = 6x + 20Solving the system by substituting y:
9x + 5 = 6x + 209x - 6x = 20 - 53x = 15x = 15/3x = 5y = 9*5+5 = 50Intersection point is (5, 50)
See attached graph
how do you write a equation with (0,2) and (3,3) in slope-intercept form?
Answer:
m= 3-2/ 3-0= 1/3
Step-by-step explanation:
y2= 3 y1= 2
x2= 3 x1= 0
10. An electric scooter manufacturer estimates that the cost C in dollars) of producing x
scooters is given by C(x) = 600+ 0.05x + 0.0002x%. Find the production level, to the nearest
unit, that will minimize the average cost Č(x) per unit.
A. 1733 scooters
B.
1250 scooters
C. 600 scooters
D.
1500 scooters
Answer:
A. 1733 scooters
Step-by-step explanation:
To get x for minimum value of C bar, set derivative = 0
We Find our x.
C(x) = 600+ 0.05x + 0.0002x^2
We need average cos per unit
So divide by x both sides
C(x) / x = 600/x + 0.05x + 0.0002x
c(x)/c = Ç(x)
Therefore, Ç(x) = 600/x + 0.05x + 0.0002x
Now differentiate both side with x
dÇ(x)/dx = 600/x^2 + 0 + 0.0002
To find x for minimum Ç(x)
Set dÇ(x)/dx = 0 => -600/x^2 + 0.0002 = 0
=> x^2 = 600/0.0002
x^2 =3000000
x = √3000000
x = 1732.05
x = 1733
Which ordered pair is a solution of this
equation?
3x - 7y = 28
Answer:
(0,-4)
Step-by-step explanation:
I plugged in 0 for x.
3(0)-7y=28
-7y=28
y=-4
A store is selling 6 for $45 if you have $75 how many can you buy?
Layla's dog eats 5/8 of a pound of food each day. Layla has a bag containing 3 3/4 pounds of
dog food. How many days will the bag feed Layla's dog?
Answer:
6 days
Step-by-step explanation:
You just divide 3/8 by 3 3/4. Hope this helps you!!!
On a roadtrip, the distance driven can be represented by
the following equation
y = 152
where x is the number of gallons of gas.
What does the 15 represent?
15 represent the car travled 15 miles / gallons.
Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.
We have been given that -
y = 15 * x
Where y = the distance and
x = the number of gallons of gas to cover that distance.
A common unit of capacity in English-speaking countries, equal to four quarts, the U.S. standard gallon being equal to 231 cubic inches (3.7853 liters), and the British imperial gallon to 277.42 cubic inches (4.546 liters).
Consider the units:
y[miles] = 15[??] * x[gallons]
15[??] = y[miles] / x[gallons]
[??] = [miles] / [gallons]
So the units of the parameter 15 must be [miles / gallon] to convert the gallons to miles.
Therefore 15 represents the miles / gallon for the vehicle.
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A pair of supplementary angles have angle measures of angle a (5n + 4) and angle b (50 - n)
Answer:
yeah for sure
Step-by-step explanation:
identify the slope of the line. then identify a point the line passes through:
1. y - 2 =1/4(x - 5)
2. y-7=-3(x+6)
Answer:
ummmm honey I'm confused already