Answer:
9.385 km
Step-by-step explanation:
Given the points :
home (1 -3) school (-1, 2) library (3, 2)
Distance between Home and school :
Distance = √(x2 - x1)² + (y2 - y1)²
Home = (1, - 3) ; School = (-1, 2)
x1 = 1 ; y1 = - 3 ; x2 = - 1 ; y2 = 2
Distance = √(-1 - 1)² + (2 - (-3))²
Distance = √-2² + 5²
Distance = √4 + 25
= 5.385 km
From school to library :
School = (-1, 2) ; library (3, 2)
x1 = - 1 ; y1 = 2 ; x2 = 3 ; y2 = 2
Distance = √(x2 - x1)² + (y2 - y1)²
Distance = √(3 - (-1))² + (2 - 2)²
Distance = √4² + 0²
Distance = √16 + 0
Distance = √16
Distance = 4 km
Total distance in kilometers from home to library :
(5.385 + 4) km = 9.385km
What is a complete circle in radians?
Answer:
The radian is a unit of measure for angles used mainly in trigonometry. ... Whereas a full circle is 360 degrees, a full circle is just over 6 radians. A full circle has 2π radians (Roughly 6.28) As seen in the figure above, a radian is defined by an arc of a circle.
find x
please solve this
Answer:
120°
Step-by-step explanation:
ABCD is a cyclic Quadrilateral.
[tex] \angle CBE [/tex] is the exterior angle of cyclic quadrilateral ABCD.
Since, the exterior angle of a cyclic quadrilateral is equal to the interior opposite angle.
[tex] \therefore x = m\angle ADC\\\\
\therefore x = 120\degree [/tex]
solve 1) y"+y'+y=x²;
Answer:
i will get a wrong aswer
Step-by-step explanation:
sorry
An item costs $350 before tax, and the sales tax is $31.50.
Find the sales tax rate. Write your answer as a percentage.
Which of the following statements is NOT true
Si en un triángulo un ángulo mide 30º y otro 70º¿cuánto mide el tercer ángulo?
Answer:
El tercer ángulo es 80
Step-by-step explanation:
En un triángulo hay 3 ángulos. Cuando sumas todos los ángulos, es igual a 180. Entonces, para esto, todo lo que tienes que hacer es sumar 30 y 70, lo que te da 100. Luego, restar 100 de 180, lo que te da 80. Lo que significa que el tercer ángulo es 80 :)
How many solutions exist for the given equation? (x + 12) = 4x - 1 o zero infinitely many
help plz its do in 10 min
Answer:
No offence
Step-by-step explanation:
but have you tried looking it up?
CAN SOMEONE PLEASE HELP ME?
PLEASE. There are four questions that I just need help with :(
Some equations have the form y=kx, where k is a number.
Which equation CANNOT be written in the form y=kx?
y=x
y=x+3
y/2=x
y= ‐1/10x
Answer:
y=x+3
Step-by-step explanation:
The equation "y=x+3" cannot be written in the form y=kx because the form doesn't use addition as a basic operation. Let's try verifying the choices:
y=x is possible if the value of k is 1, provided that both y and x are of the same value.
y/2=x is possible because y=2x, provided that 2 is the value of k.
y=-1/10x is possible because -1/10 is the value of k. This is just the same with y=kx.
Factorize:
x^4 - 6x^2 - 27
x^4 - 6x^2 - 27
Let u = x^2
We know that x^4 = (x^2)^2.
u^2 - 6u - 27
(u - 9)(u + 3)
Now, back-substitite for u.
(x^2 - 9)(x^2 + 3)
The RIGHT SIDE FACTOR is the difference of two squares.
So, x^2 - 9 becomes (x - 3)(x + 3).
(x - 3)(x + 3)^2
Done.
solve the equation
pls help
Evaluate the expression if f = 15 g = 5 and h = -45 F - h --------- 10
Answer: 3
Step-by-step explanation:
-15- -45= 30
30/10=3
Which statement correctly compares the function shown on this graph with
the function y = 7x - 10?
Plz help me with this
Answer:
The answer is A, the function shown on the graph has a smaller rate of change, but a higher starting point. hehe your welcome.
Step-by-step explanation:
The function shown in the graph has a smaller rate of change but a higher starting point. Option A is correct.
Given that,
To compare the function shown in the graph with y =7x -10.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
The slope of the function y =7x - 10 is m = 7, and the slope of the function in the graph is m = 6.
The intercept of the function in equation form is -10 while the intercept of the function shown in the graph is -6.
Thus, the functions shown in the graph have a smaller rate of change but a higher starting point. Option A is correct.
learn more about function here:
brainly.com/question/21145944
#SPJ5
2.find the domain,range and function.
x,y
-4,8
-3,1
0,-5
-3,2
Domain:
Range:
Function
Step-by-step explanation:
domain ={-4,-3,0,}
range ={8}
Write a system of equation for the following scenario.
Roshaun has saved $150 and continues to save $10 each week. Keegan starts with $0 and saves $25 each week.
Answer:
Let's start out with the amount of money each person will have over any period of time. Let t = time in weeks.
Roshaun will have 150 + 10t. Keegan will have 25t. we want to know when they will have the same amounts, so we set the 2 equations equal and solve for t:
150 + 10t = 25t
150 = 25t - 10t
150 = 15t
150/15 = t
10 = t
Therefore, in 10 weeks they will both have the same amount:
Roshaun: 150 + 10(10)--->150 + 100 = $250
Keegan; 25(10) = $250
Hope this helps!
Step-by-step explanation:
Please mark me as the brainliest answer and please follow me
Which number line correctly shows 0.8 + 0.3?
Answer:
B
Step-by-step explanation:
Answer:
B. Is the correct way to show the problem.
Step-by-step explanation:
A: The number line is useless. It shows working backwards from the answer. You want to show how the answer was obtained. + goes right - goes left. Not A. This actually shows 1.1 - 0.8 - 0.3
C: C shows 0.8 - 0.3. Remember + goes right - goes left.
D: D is wrong. It shows 0.3 to 1.1 and then 0.3 back to 0.8. You are not doing that.
What is the successor of 2,550
Answer:
2551
Step-by-step explanation:
The successor of a number is 1 more than it.
PLS GIVE BRAINLIEST
Simplify the expression.
4 (-y + 2) – 3y
A. y – 8
B. -7y + 2
C. -7y + 8
D. y + 8
SHOW YOUR WORK PLZSSSSSS
Answer:
B
Step-by-step explanation:
Expand to get -4y+2-3y. Combine like terms to get -7y+2.
PLEASE PLEASE PLEASE HELP!
Answer: Interval Notation:
(– ∞,–1) ∪ (–8, ∞) Set-Builder Notation:
{x | x ≠–1}, but I don’t know to the Question #2. (III), sorry. :(
Step-by-step explanation: Set up the composite function and evaluate, then find the domain of the result. (Neither)
A full strip plus another half of a strip of staples contains 315 staples
Answer:
[tex]210 staples[/tex]
Step-by-step explanation:
Lets solve this equation:
[tex]x(fullstrip)+\frac{1}{2}x(halfstrip)=315.[/tex]
Combine terms:
[tex]x+\frac{1}{2}x=\frac{3}{2}x \frac{3}{2}x=315[/tex]
[tex]x=315*\frac{2}{3}[/tex]
[tex]x=210[/tex]
So a full strip contains 210 staples.
Hope this helps :D please hit the crown
Guys, please help! I'm reaallllyyyy desperate!
Answer:
So first, let's substiute the variables into numbers based on your problem. We get -(-1)-(5)^2+3(-1)(5). If we solve that expression, we will get -39. So, your answer is -39. Hope this helps and good luck
Step-by-step explanation:
Answer:
-12
Step-by-step explanation:
-a-b²+3ab
-(-1)-5²+3(-1×5)
+1-25-3+25
-24-3+15
-27+15
=-12
Travis goes to the book fair where paperback books are $1.50 and hardback books are $3. Travis buys five paperback books and two hardback books. How much change will Travis receive from a $20 bill?
Using the appropriate arithmetic operations, the amount of change Travis is entitled to is :$6.50
Total cost of paper back books :
($1.50 × 5) = $7.50Total cost of hardcover books :
($3 × 2) = $6Total cost = $7.50 + $6.00 = $13.50
Change = $20 - $13.50 = $6.50
Therefore, Travis will get a change of $6.50
Learn more : https://brainly.com/question/18106342
insert three arithmetic means between 7 and 15
Answer:
9, 11 , 13
Step-by-step explanation:
Find the average of 7 and 15, that is
[tex]\frac{7+15}{2}[/tex] = [tex]\frac{22}{2}[/tex] = 11
We now have 7, 11, 15
Now find the average of 7 and 11, 11 and 15
[tex]\frac{7+11}{2}[/tex] = [tex]\frac{18}{2}[/tex] = 9
[tex]\frac{11+15}{2}[/tex] = [tex]\frac{26}{2}[/tex] = 13
Thus the 3 arithmetic means between 7 and 15 are
9, 11, 13
(2,5),( 3, 6) Rate of change and slope
Answer:
1 for both slope and rate of change
Step-by-step explanation:
Slope is another word for the rate of change of y with respect to x.
triangle ABC ~ triangle XYZ , where AB = 18 cm, BC = 30 cm , and CA = 42 cm . The longest side of triangle XYZ is 25.2 cm. What is the perimeter of triangle XYZ ?
Answer:
The perimeter of triangle XYZ is 54 cm
Step-by-step explanation:
In similar triangles, their corresponding sides are proportional, which means the ratios of the corresponding sides are equalTheir perimeters have the same ratio as their corresponding sides, which means P1 = r × P2, where r is the ratio of similarityTheir areas have the square of the ratio as their corresponding sides, which means A1 = r² × A2∵ Δ ABC is similar to Δ XYZ
∵ The longest side in Δ XYZ is 25.2 cm
→ That means its corresponding side in Δ ABC is the longest side
∵ AB = 18 cm, BC = 30 cm, CA = 42 cm
∴ The longest side in Δ ABC is CA
∴ CA is the corresponding side of the side of length 25.2 cm
∴ The ratio of similarity = [tex]\frac{25.2}{42}[/tex] = 0.6 ⇒ (r)
∵ The perimeter of Δ ABC = AB + BC + CA
∴ The perimeter of Δ ABC = 18 + 30 + 42
∴ The perimeter of Δ ABC = 90 cm
→ Use the 2nd fact above
∵ P of Δ XYZ = r × P of Δ ABC
∵ r = 0.6 and P of Δ ABC = 90
∴ The perimeter of Δ XYZ = 0.6 × 90
∴ The perimeter of Δ XYZ = 54 cm
Please Help me. Thanks
Can someone please explain how I am supposed to do this I do not understand at all whatsoever.
Answer:
B. (6,-3)
Step-by-step explanation:
3x - 5y ≥ 10
(1,4) IS NOT a solution to the equation
3(1) - 5(4) ≥ 10
3 - 20 ≥ 10
- 17 ≥ 10
3x - 5y ≥ 10
(6,-3) IS a solution to the equation
3(6) - 5(-3) ≥ 10
18 + 15 ≥ 10
33 ≥ 10
3x - 5y ≥ 10
(-5,-2) IS NOT a solution
3(-5) - 5(-2) ≥ 10
-15 + 10 ≥ 10
-5 ≥ 10
3x - 5y ≥ 10
(2,0) IS NOT solution
3x - 5y ≥ 10
3(2) - 5(0) ≥ 10
6 - 0 ≥ 10
6 ≥ 10
Charlie bought two holes in 3/4 of pears for $0.76 per pound and 2 wholes and 3/4 lb of grapes for $1.40 per pound how much money in dollars and cents did Charlie pay for the pears and grapes
Answer:
Hh
Step-by-step explanation:
PLS SQDANCEFAN. PLEASE SHOW ALL WORK!!! A bag contains 27 coins, all of which are either quarters or dimes. If their total value is $5.55, how many quarters and how many dimes are there?
I WILL MARK BRAINLIEST!!!!!!
Answer:
There are 19 quarters and 8 dimes.
Step-by-step explanation:
We will let x denote the amount of quarters.
Since there are 27 coins in total, (27-x) will be the amount of dimes there are.
Since each quarter is worth $0.25, the total value of quarters is given by 0.25x.
And since each dime is worth $0.10, the total value of dimes is given by 0.1(27-x).
We know that the total value of all 27 coins is $5.55. So, we can write the following equation:
[tex]0.25x+0.1(27-x)=5.55[/tex]
So, we will determine the value of x, the amount of quarters there are.
First, let’s multiply everything by 100 to remove the decimals. So:
[tex]100(0.25x+0.1(27-x))=100(5.55)[/tex]
Distribute:
[tex]25x+10(27-x)=555[/tex]
Distribute:
[tex]25x+270-10x=555[/tex]
Combine like terms:
[tex]15x+270=555[/tex]
Subtract 270 from both sides:
[tex]15x=285[/tex]
Divide both sides by 15:
[tex]x=19[/tex]
So, the value of x is 19.
This means that there are 19 quarters.
So, the amount of dimes must be 27-19 or 8 dimes.
9514 1404 393
Answer:
19 quarters8 dimesStep-by-step explanation:
When working mixture problems, it can be convenient to write a single equation using the variable to represent the highest-value contributor to the total value.
Here, we can let q represent the number of quarters. Then the number of dimes is 27-q.
The total value (in cents) is ...
25q +10(27 -q) = 555
15q +270 = 555 . . . . . . . collect terms
15q = 285 . . . . . . . . . subtract 270
q = 19 . . . . . . . . divide by 15
27 -19 = 8 . . . . . the number of dimes
There are 19 quarters and 8 dimes.
_____
Check
19 quarters have a value of 19×$0.25 = $4.75
8 dimes have a value of 8×$0.10 = $0.80
Then the total value of the 27 coins is $4.75 +0.80 = $5.55
_____
Additional comment
This is equivalent to working the problem by substitution where you write two equations ...
d + q = 2710d +25q = 555Then solve for d and substitute, leaving the variable q.
d = 27 -q
10(27-q) +25q = 555 . . . . the equation we wrote above
Of course, this pair of equations can be solved any convenient way, including elimination, matrix methods, and graphing.
You will find that if you eliminate the 'q' variable, you may end up dealing with negative coefficients in the equation. That is why I prefer to keep 'q' and eliminate 'd'.