The map of a biking trail is drawn on a coordinate grid. The trail starts at P(−5, 4) and goes to Q(2, 4). It goes from Q to R(2, −2) and then to S(7, −2). What is the total length (in units) of the biking trail? WILL GIVE BRAINLIEST NEED ASAP WILL ALSO GIVE 5 STARS AND THANKS!!!!!!!!!! SOMEONE PLZ HELP I NEED THIS!!!!!!!!!!!!!!!!!!!!!!!!!
12
18
16
14
Answer:
18 units
Step-by-step explanation:
PQ= 7 units
QR = 6 units
RS = 5 units
its really not that hard..
please help; i’m confused
Answer:
The values of k that make the given equation having imaginary roots are:
k < -18, or (-∞,-18).
Step-by-step explanation:
Nature of the Roots of a Quadratic Equation
The standard representation of a quadratic equation is:
[tex]ax^2+bx+c=0[/tex]
where a,b, and c are constants.
Solving with the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
The expression:
[tex]d=b^2-4ac[/tex]
Is called the discriminant. The discriminant determines the nature of the roots of a quadratic equation as follows:
If d=0, there is only one real root.
if d>0, there are two different real roots
if d<0, there are two different imaginary (complex) roots
We are given the equation:
[tex]-2x^2+12x+k=0[/tex]
Comparing with the standard quadratic equation, we have:
a=-2, b=12, c=k
Calculating the discriminant:
[tex]d=12^2-4(-2)k[/tex]
[tex]d=144+8k[/tex]
If the equation has imaginary roots, then d<0, thus:
144 + 8k < 0
Subtracting 144:
8k < -144
Dividing by 8:
k < -18
The values of k that make the given equation having imaginary roots are: k < -18, or (-∞,-18).
The fuel for a chain saw is a mix of oil and gasoline. The label says to mix 3 ounces of oil with 5 gallons of gasoline. How much oil would you use if you had 120 gallons of gasoline?
Answer:
120 gallons of gasoline needs 180 ounces of oil
Step-by-step explanation:
Since the label for the chain saw reads to mix 3 ounces of oil with 5 gallons of gasoline, it means we have a ratio of 3 ounces of oil to 5 gallons of gasoline. That is
3 ounces of oil = 5 gallons of gasoline
Using the the unity method, by dividing both sides by 5,
3/5 ounces of oil = 1 gallon of gasoline.
So, for 120 gallons of gasoline, we have
120 × 1gallon of gasoline = 120 × 3/5 ounces of oil
So, 120 gallons of gasoline = 60 × 3 ounces of oil
So, 120 gallons of gasoline = 180 ounces of oil
So, 120 gallons of gasoline needs 180 ounces of oil
Answer:
Try 15,360 gallons or it could be 15,360 oz. one of those I hope it helps a bit. I did 128 times 120 gl. witch gave me 15,360.
Step-by-step explanation:
Which of the following inequalities matches the graph?
answers:
x < 2
y > 2
y < 2
x > 2
Answer:
None of them but for the actual question on the picture it is x < -3
Step-by-step explanation:
I'll give brainliest!!! I need help fast please I just need someone to check my answers!!! Don't respond if you don't know what you're talking about!!!
LOOK AT THE SCREENSHOT!!
Answer:
your correct
Step-by-step explanation:
:D
Emily wants to buy new boots that cost $68. The sales tax rate in her city is 5%. What is the total cost for the boots?
Question 5 (1 point)
It is currently 84 degrees outside. If the temperature drops 2 degrees every hour, what equation
represents the temperature () after any number of hours (x)?
Answer:
[tex]T(x)=84-2x[/tex]
Step-by-step explanation:
Linear Modeling
The initial temperature outside is 84 degrees.
We are told the temperature drops 2 degrees every hour.
Let's call x to the number of hours elapsed. After x hours, the temperature would have dropped by 2x degrees, since it's a rate of 2 degrees per hour.
That drop is subtracted from the initial temperature to produce the linear model as follows:
[tex]\mathbf{T(x)=84-2x}[/tex]
This is the linear equation that represents the described situation.
help me plzzzzzzzzzzzzzz
will mark brainliest answer!! 50 points!! pls help!!
Ben shared his post with 2 friends. Each of them share the post with 3 friends a day.
a) write an exponential equation to show the growth of Ben’s social media post
Carter shares his post with 10 friends who each share the post with 2 friends a day
b) write an exponential function to show the growth of Carter’s social media post
Answer:
1. Ben
Let the number of days be x.
Let the total no. of shares be y
[tex]No.\ of\ shares\ on\ Day\ 0=2\\No.\ of\ shares\ on\ Day\ 1\ = 2*3\\No.\ of\ Shares\ on\ Day\ 2\ =\ 2*3*3\\No.\ of\ Shares\ on\ Day\ 3\ = 2*3*3*3\\No.\ of\ Shares\ on\ Day\ x\ =2*3^x\\As\ Total\ no.\ of\ shares\ = y\\y=2*3^x[/tex]
2. Carter
Let the no. of days be x
Let the total no. of shares be y
[tex]No.\ of\ shares\ on\ Day\ 0=10\\No.\ of\ shares\ on\ Day\ 1\ = 10*2\\No.\ of\ Shares\ on\ Day\ 2\ =\ 10*2*2\\No.\ of\ Shares\ on\ Day\ 3\ = 10*2*2*2\\No.\ of\ Shares\ on\ Day\ x\ =10*2^x\\f(y)=10*2^x[/tex]
Math homework. need help
Answer:
10 to the 3rd power!!!!
Answer:
10 with an exponent of 3 i believe.
Step-by-step 10^2 * 10 = 10^3
At a movie theater, the size of popcorn bags decreased 20%. If the old bags held 15 cups of popcorn, how much do the new bags hold?
Answer:
12?
Step-by-step explanation:
since this is a percent deal I would a simple trick
x/15 = 20/100
15 x 20 = 300
divide 300 by 100
that equals 3
15 - 3 = 12
Answer
12?
Step-by-step explanation:
since this is a percent deal I would a simple trick
x/15 = 20/100
15 x 20 = 300
divide 300 by 100
that equals 3
15 - 3 = 12
Find the distance between the two points rounding to the nearest tenth (if necessary).
(−2,2) and (−8,−6)
(40, 3,000) and (60, 4,000)
find the slope of the line that passes through
Answer:
slope of the line is 50
Step-by-step explanation:
The slope of a line (gradient) is determined by the rise/run so
(y2 - y1) / (x2 - x1)
We simply substitute in our coordinates and solve. So:
(4000 - 3000) / (60 - 40)
= 1000 / 20
= 100/2 = 50
Gradient is 50
The function 56 – 4y = –5x can be used to determine the total amount of money in a coin jar, y, after money isadded for x days. What is the rate of change in dollars with respect to the number of days?
Answer:
$1.25 dollars per day added to the coin jar
Step-by-step explanation:
the given equation is: 56 – 4y = –5x
we can rewrite it:
4y = 56 + 5x
y = (56 + 5x) / 4
y = 14 + ⁵/₄x
the slope of the equation is ⁵/₄, which gives us how much money is added into the coin jar every day. We can write ⁵/₄ as 1.25 or $1.25 dollars per day added to the coin jar
Donna earns $73.50 for 6 hours of gardening. Mac
earns $97.60 for 8 hours of gardening. Who earns more
per hour? How much more?
3•3^-1
Show work plz!
Answer:
1
Step-by-step explanation:
Firstly we need to do the exponent,3^-1, which equals 1/3.
Now, we multiply 3 with 1/3.
3•1/3 =1
every five years in march, the populations of a certain town is recorded. In 1995, the town had a populations of 4,500 people. From 1995 to 2000, the population increased by 15%. From 2000 to 2005, the population decreased by 4%. What was the town's population in 2005.
Answer:
population= 4968
Step-by-step explanation:
15/100= 0.15
1+0.15= 1.15
1.15 x 4500= 5175
4/100= 0.04
1-0.04= 0.96
0.96 x 5175= 4968
im going to self destruct lol
Answer:
noooooooooooo dont:(
Step-by-step explanation:
Steven has obtained a $105,000 5/1 30-year ARM at 5%. During the first ...
Steven has obtained a $105,000 5/1 30-year ARM at 5%. During the first 3 years, he has an option of paying interest only. If he were to accept this offer,
what would his initial payment be?
O A. $437.50
O B. $756.92
O C. $563.66
D. $587.50
Answer:
hope that helps
Step-by-step explanation:
Hi I had the same question on my test and the answer is c or b
The solution is, The initial payment will be $437.50.
Here, we have,
given that, Steven has obtained a $105,000 5/1 30-year ARM at 5%. During the first 3 years, he has an option of paying interest only.
so, we get,
Steven has obtained a $105,000, 5/1 30-year ARM at 5%.
During the first 3 years, he has an option of paying interest only.
So, it is simple interest.
Simple interest is given as :
I = p*r*t/100
here, p = 105000
r = 5%
t = 30
Putting values in formula:
= $157500
As this is interest for 30 years or 360 months.
So, for initial interest we will divide the interest with 360.
$157500/360
≈$437.50
Therefore, the initial payment will be $437.50
To learn more on interest click:
brainly.com/question/29335425
#SPJ7
What is the slope of the line? 4x-1=3y+5
Answer:x7
Step-by-step explanation:
Answer:
The slope would be 4/3, found from the equation: y=4/3x-2
Step-by-step explanation:
4x-1=3y+5
Subtract the 5
4x-6=3y
Divide the 3
y=4/3x-2
Can y’all help me solve this two step equation?
1=x/3-5
Answer:
18
Step-by-step explanation:
Teacher asked us the question
Answer:1/2 i think
Step-by-step explanation:
Choose yes or no weather the expression are equivalent
2(8f-5) and 10f-10
Step-by-step explanation:
I think the answer is no
Answer:
no
Step-by-step explanation:
once distributed, 2(8f-5) becomes 16f-10 which is not equivalent to 10f-10
Q1. An airplane flies with a constant speed of 600 miles per hour. How far can it travel in 3 1/2 hours?
Q2. A minibus drives with a constant speed of 68 km/h. How long will it take to travel a distance of 102 kilometers?
pls fast I need the answers for these I swear I'll make you the brainliest.
Answer:
Q1. 1050 miles
Q2. 1h 30m
Step-by-step explanation:
Q1. 1h = 300 miles
3[tex]\frac{1}{2}[/tex]h = 3.5 × 300 miles
= 1050 miles
Q2. 68km = 1h
102km = [tex]\frac{102}{68}[/tex] × 1h
= 1.5h
= 1h 30m
Dave's optometrist used medicine to dilate his eyes. Before dilation, his pupils had a diameter of 2.1 millimeters. After dilation, his pupils had a diameter of 6.3 millimeters. What was the scale factor of the dilation?
Answer:
Step-by-step explanation:
6.3 divided by 2.1 equals 3.
3 is the scale factor
Answer:
2
Step-by-step explanation:
I just took the quiz
in quadrilateral jklm angle k is a right angle. is jklm a rectangle?
HELP PLSS ASAP
Answer:
no
Step-by-step explanation:
Answer:
Cannot be determined is the correct answer
Step-by-step explanation:
Write five different fractions that each simplify to two-fifths.
[This form is blank.]
Simplify the expression.
8k - 2(4 - 3k)
Answer:
14k-8
Step-by-step explanation:
8k - 2(4-3k)
distributive property
8k - 8 + 6k
add like terms
8k + 6k -8
14k - 8
14k - 8
If anyone will look for the value of k, k is 4/7 btw but the answer to simplify the expression would be 14k-8.
Answer
14k-8
Step-by-step explanation:
combine like terms
Annabelle went rock climbing. The below graph is a model of her climbing as
time passes.
Answer the following questions about the graph:
a. What are the labels on each axis?
b. What is happening for the first 5 minutes of Annabelle's climbing session?
What is your reason for saying that?
c. When was Annabelle climbing fastest? How do you know?
d. What is happening from 5 to 7 minutes? What is your reason for saying
that?
PLS HELP find the values of x, y and z..pls
Step-by-step explanation:
8x-7+3x-11=180
11x-18=180
x=18
2y+23=4y+8
2y=15y=15/2
4y+8=3z²-5
y=15/2=> 30+8=3z²-5
43=3z²
z=±√(43/3)
Write an equation that represents the function. (linear equations)
Answer:
y = 2x + 2
Step-by-step explanation:
First solve for the slope using [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
[tex]\frac{8-2}{3-0}[/tex] = 2
Plug the slope into the slope intercept form equation y = mx + b
y = 2x + b
To solve for b, plug in any (x, y) point on the table.
2 = 2(0) + b
2 = b
Now you can plug the b value into your equation.
y = 2x + 2