To get to his parents' house, Mateo would have to drive due north 2.1 miles. To get to his grandparents' house, he would have to drive due east 9.6 miles. What is the straight-line distance between the parents' and grandparents' houses? If necessary, round to the nearest tenth.
Answers
Answer:
The straight-line distance between the parents' and grandparents' houses = 9.83 miles.
Step-by-step explanation:
Given - To get to his parents' house, Mateo would have to drive due north 2.1 miles. To get to his grandparents' house, he would have to drive due east 9.6 miles.
To find - What is the straight-line distance between the parents' and grandparents' houses? If necessary, round to the nearest tenth.
Solution -
By the given information, the figure becomes -
From the Graph, we can see that,
The side MP = 2.1
The side MG = 9.6
And By using Pythagoreas Theorem, we get
(PG)² = (MG)² + (MP)²
⇒(PG)² = (9.6)² + (2.1)²
⇒(PG)² = 92.16 + 4.41
⇒(PG)² = 96.57
⇒PG = √96.57
⇒PG = 9.827
∴ we get
The straight-line distance between the parents' and grandparents' houses = 9.83 miles.
Related Questions
When y is directly proportional to x, the value of y = -2 when x = 4. What is the value of y when x = 8?
Answers
Answer:
y = -4
Step-by-step explanation:
When y is directly proportional to x,
= y ∝ x
= y = kx
Finding k
the value of y = -2 when x = 4
-2 = k4
k = -2/4
k = -1/2
. What is the value of y when x = 8
Finding y
y = kx
y = -1/2 × 8
y = -4
PLZ HELP, DUE TONIGHT!! Find the values of a and b such that f(x) is continuous at x=
Answers
Answers:
a = 2 and b = -4
============================================================
Explanation:
Let's define the three helper functions
f(x) = ax^2 - bh(x) = 6j(x) = 5ax+bwhich are drawn from the piecewise function. The g(x) function will change depending on what the input is.
If x < 1, then g(x) = f(x). If x = 1, then g(x) = h(x)If x > 1, then g(x) = j(x)Since we want g(x) to be continuous at x = 1, this must mean the three functions f(x), h(x), j(x) must have the same output value when the input is x = 1.
Because h(x) = 6 is a constant function, the output is always 6 regardless of the input. Therefore, we want f(x) and j(x) to have 6 as their output when x = 1. Or else, the pieces won't connect.
Plug x = 1 into the f(x) function to get
f(x) = ax^2 - b
f(1) = a(1)^2 - b
f(1) = a - b
Set this equal to the desired output of 6 and we end up with the equation a-b = 6. Solving for 'a' leads to a = b+6.
------------
We'll use the same idea for j(x)
j(x) = 5ax + b
j(1) = 5a(1) + b
j(1) = 5a + b
5a+b = 6
5(b+6) + b = 6 ... plug in a = b+6; solve for b
5b+30+b = 6
6b+30 = 6
6b = 6-30
6b = -24
b = -24/6
b = -4
Which then leads to,
a = b+6
a = -4+6
a = 2
------------
Since a = 2 and b = -4, we go from this
[tex]g(x) = \begin{cases}ax^2-b, \ \ x < 1\\6, \ \ x = 1\\5ax+b, \ \ x > 1\end{cases}[/tex]
to this
[tex]g(x) = \begin{cases}2x^2+4, \ \ x < 1\\6, \ \ x = 1\\10x-4, \ \ x > 1\end{cases}[/tex]
Meaning
f(x) = 2x^2+4 and j(x) = 10x-4
You should find that plugging x = 1 into each of those two functions leads to 6 as the output.
The graph is shown below. Note the red graph f(x) is only drawn when x < 1. Similarly, j(x) is only drawn when x > 1. The orange point represents h(x) which only happens when x = 1. So as the name implies, the piecewise function g(x) is composed of pieces of the three functions f(x), h(x), j(x).
Which is the answer no links please.
Answers
Answer:
c
Step-by-step explanation:
What is the predicted end-of-year value of a portfolio that begins the year with $200, in stocks and $100 in bonds?
Answers
Answer:
$318
Step-by-step explanation:
Calculation to determine the predicted end-of-year value of a portfolio
Given expression 1.08s + 1.02b
Now let determine the Predicted end-of-year value
Predicted end-of-year value=1.08(200) +1.02(100)
Predicted end-of-year value=216+102
Predicted end-of-year value=$318
Therefore the predicted end-of-year value of a portfolio will be $318
please help its like 5th grade math
Answers
= 54cm3
Step-by-step explanation:
vol of 1st cuboid,
=lxbxh
=4cm×6cm×1cm
=24cm³
vol of 2nd cuboid
= lxbxh
=6cm×3cm×1cm
=18cm³
vol of figure=18cm³+24cm³
= 42cm³
Estimate the area of this figure below
Answers
Answer:
its 6 square units
Step-by-step explanation:
count how many boxes the that contain blue and devide by 2
Answer:
6
Step-by-step explanation:
There are 3 parts to each side. All three of them are the same so we only have to find the area of one different parts
Area of One Side
Triangle
The side of a square is 1 square unit.
each leg of the triangle is 1 unit
The area of 1 triangle = 1/2 * 1 * 1 = 1/2
Area of 1 side
There are 3 equal parts (3 triangles) that make up a side.
Area of the three triangles = 3 * 1/2 = 3/2 = 1.5
Area of all 4 sides
4 * 1.5 = 6
The area of the blue colored figure is 6 units.
For the linear function f(x) = -2x+1 , find the following
a. Slope and Y-intercept.
b. Is the function increasing, decreasing, or constant, justify your answer.
c. Graph the function, label x, and y-intercepts.
Answers
Given:
The function is:
[tex]f(x)=-2x+1[/tex]
To find:
a. Slope and Y-intercept.
b. Is the function increasing, decreasing, or constant, justify your answer.
c. Graph the function, label x, and y-intercepts.
Solution:
a. We have,
[tex]f(x)=-2x+1[/tex] ...(i)
The slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(ii)
Where, m is the slope and b is the y-intercept.
On comparing (i) and (ii), we get
[tex]m=-2,b=1[/tex]
Therefore, the slope of the line is -2 and the y-intercept is 1.
b. If the slope of a linear function is negative, then the function is decreasing.
If the slope of a linear function is positive, then the function is increasing.
If the slope of a linear function is 0, then the function is constant.
The slope of the linear function is negative.
Therefore, the function is decreasing.
c. We have,
[tex]f(x)=-2x+1[/tex]
At [tex]x=0[/tex], we get
[tex]f(0)=-2(0)+1[/tex]
[tex]f(0)=1[/tex]
So, the y-intercept is at (0,1).
At [tex]f(x)=0[/tex], we get
[tex]0=-2x+1[/tex]
[tex]2x=1[/tex]
[tex]x=\dfrac{1}{2}[/tex]
[tex]x=0.5[/tex]
So, the x-intercept is at [tex]\left(0.5,0\right)[/tex].
Plot the points [tex](0,1), \left(0.5,0\right)[/tex] and connect them by a straight line as shown below:
Orange gray produce 133,952 oranges. If a crate holds 92 oranges, how many crates were needed for shipping? (Write operation and answer) no links
Answers
Answer:
1,456 crates needed
Step-by-step explanation:
oranges = 133,952
crate capacity = 92
133,952 / 92 = 1,456 crates needed
70% in the SIMPLEST Form
Answers
Answer:
7/100
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 70 and 100 is 10
Divide both the numerator and denominator by the GCD
70 ÷ 10
100 ÷ 10
Reduced fraction:
7
10
Therefore, 70/100 simplified to lowest terms is 7/10.
Blaine's take-home pay is $2,500 each month, and he has created a monthly budget to become more aware of where his money goes. His budget is shown below. Blaine finds that he can join a cheaper gym for $40/month, reduce his spending money to $200, and find a phone and internet package for $175. How much will these choices save him each month?
Answers
Answer:
Amount Blaine save = $250
Step-by-step explanation:
Total take home pay = $2,500
Original budget:
Rent + electricity bills = $990
Food/groceries = $525
Gas + insurance = $320
Spending money = $235
Cellphone + Internet = $250
Gym membership = $180
Total = $2,500
New budget:
Rent + electricity bills = $990
Food/groceries = $525
Gas + insurance = $320
Spending money = $200
Cellphone + Internet = $175
Gym membership = $40
Total = $2,250
How much will these choices save him each month?
Amount Blaine save = Total take home - new budget
= $2,500 - $2,250
= $250
Amount Blaine save = $250
Last Ss, super easy im just braindead
Answers
Answer:
the answer is 90
Step-by-step explanation:
A pile of 15 boxes is 3 metres high. What is the depth of each box?
5 m
0.002 km
200 cm
200 mm
Answers
ANSWER:
200 millimetre
====================================================
Work Shown:
1 meter = 100 cm
3 meters = 300 cm (multiply both sides by 3)
15 boxes are 300 cm tall combined, so 300/15 = 20 cm is the height of each box.
------------
Unfortunately 20 cm isn't listed as an answer choice, but we can convert to km and see what happens
20 cm * (1 m/100 cm)*(1 km/1000 m) = 20/(100*1000) = 0.0002 km
It's close, but off by a digit. Choice B has two zeros while 0.0002 has three zeros between the decimal point and the '2'.
------------
Let's convert to mm and see what happens
20 cm * (10 mm/1 cm) = 200 mm
Through trial and error, we arrived at the final answer.
4. Which of the following sets of ordered pairs represents a FUNCTION?* 1 point
(11, -7)
(14, 7)
(14, -9)
(15, -7)
(17, 7)
(15, -13)
(13, 1)
A
(10, -6)
(16, 18)
(16, 7)
(-3, 14)
(2, 16)
(16, 20)
(20, 10)
Oo
Answers
Answer:
Option DStep-by-step explanation:
The graph of a function should pass the vertical line test in order to be a function.
Option A
Fails as repeat x-values of 14 with different y-valuesOption B
Fails as repeat x-values of 15 with different y-valuesOption C
Fails as repeat x-values of 16 with different y-valuesOption D
All x-values are different so this is a functionThe rule is .
Every domain of the function should have an unique range i.e f(x)=y
#1
f(14) has two values hence not a function
#2
f(15) has two values hence not a function
#3
f(16) has two values hence not a function
#4
Yes it's a function,every domain has an unique range
what is the value of -35•(5/7)?
Answers
Answer:
[tex] - 35{ \bold{.}}( \frac{5}{7} ) \\ = - \frac{175}{7} \\ = 25[/tex]
PLEASE HELP!!! IL MARK BRAINLIEST
Which transformation results in a similar geometric figure rather than a congruent one?
A. Relation
B. Transformation
C. Dilation
D. Rotation
Answers
Answer: C dilation
Step-by-step explanation:
PLEASE HELP 50 POINTS
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900.
Verbally describe what each ordered pair in the first row of your table (when s = 0) means in terms of the situation. Use complete sentences in your answer.
Answers
Answer:
12 sales
Let x represent the number of sales each man had.
For Salesman A, he earns $65 per sale; this is 65x.
For Salesman B, he earns $40 per sale; this is 40x. We also add to this his weekly salary of $300; this gives us 40x+300.
Since their pay was equal, set the two expressions equal:
65x = 40x+300
Subtract 40x from each side:
65x-40x = 40x+300-40x
25x = 300
Divide both sides by 25:
25x/25 = 300/25
x = 12
Step-by-step explanation:
plz brainlist
Answer:
The other person is correct
Step-by-step explanation:
fid the log of 0.0007356
Answers
PLEASE HELP!!!!!
What is the measure of the other acute angle in the triangle above?
A. 53 degrees
B. 35 degrees
C. 37 degrees
D. 90 degrees
Answers
Answer:
53
Step-by-step explanation:
one angle is 37
the triangle means one is 90
a trianlge always = 180 total so
(37+90)-180
=53
What is every way to write a ratio?
Answers
Answer:
Step-by-step explanation:
AN Example of every way to write a ratio is:
3 to 63:63/6which one you choose will depends on the problem or situation
Find the distance between the points (1, 4) and (- 2, - 1).
Answers
5.83
Use the distance formula i attached an example of another problem same formula different numbers, you can use it for future reference just switch out the points and you’ll have your answer
what are the solutions to x^2- 3x -28= 0? select all that apply
A. x = -14
B. x = -7
C. x= -4
D x = -2
E x= 2
F x= 4
G x= 7
H x= 14
Answers
Answer:
(x +7) (x -4)
x=-7 or x= 4
Step-by-step explanation:
(x +7) (x -4)
x=-7 or x= 4
(SOMEONE HELP ME, NO LINKS)
What is the value of (5 2 -10) divided by 5 x 2 3?
Answers
Answer:
The answer of the question is C
24
Your science teacher has 25 students in her class. If she uses popsicle sticks to randomly call on students
during class, what is the probability your name will be called?
Options are 4% and 6% plsss help me
Answers
Answer:
the probably your name would be called is 1 out of 25 because there is only one of your name. if there were 5 of your names in 25 then the chance is 5 out of twenty five .
a ferris wheel has a radius of 70 feet and makes a revolution every 60 seconds, the center of the wheel is 90 feet above the ground. the ferris wheel goes counter clockwise. write an equation to model the height of a rider who starts the ride at the 3:00 position? also what is the amplitude, vertical translation and the period
Answers
Please help 10 points...
Answers
Answer:
area of a trapezoid is 1/2(h)(b1 + b2)
1/2 (3) (6+2)
1/2 (24)
12 units ²
Find the exact value of the following trig ratio given the triangle.
Answers
Answer:
9
Step-by-step explanation:
PLEASE HELP DUE IN 5 MINUTES!! NO LINKS! HELP WITH THE FIRST ONE ONLY!
Answers
Answer:
PR=130, MPR=180, MRT=180, MT=130 HOPE THIS HELPED
Step-by-step explanation:
An average of 20 pears were sold from Monday to Friday. After the sales on Saturday and Sunday, the average pears sold per day were increased to 25. How many pears were sold on Saturday and Sunday?
Answers
Answer:
5 pears
Step-by-step explanation:
Given that
The average of 20 pears were sold from Monday to Friday
But after the sales on Saturday and Sunday, the average pears sold per day were increased to 25
We need to determine the number of pears sold on Saturday and sunday
So, it is
= 25 pears - 20 pears
= 5 pears
What is the radius of a circle with a circumference of 26 meters?
Answers
Answer: 4.14 m.
Step-by-step explanation:
If you help ill give you some of my banana milk...
Answers
Given:
The function is:
[tex]f(x)=4x^2-25x-21[/tex]
To find:
The domain of the given function.
Solution:
Domain is the set of input values.
We have,
[tex]f(x)=4x^2-25x-21[/tex]
It is a quadratic polynomial.
We know that a quadratic polynomial is defined for all real values of x. So, the given function is defined for all real values of x and the domain of the given function is:
Domain = Set of all real number
Domain = (-∞,∞)
Therefore, the correct option is B.