A path for a new city park will connect the park entrance to Main Street, as shown to the right. The path should be perpendicular to Main Street. What is an equation that represents the path?
Answer:
[tex] y = -\frac{1}{2}x + 3 [/tex]
Step-by-step explanation:
To create an equation in slope-intercept form, y = mx + b, for the path, we need to find slope (m) of the path, and also determine the y-intercept (b) of the path.
First, find the slope of the main street:
Using two points on the main street, (2, 3) and (3, 5),
[tex] slope (m) = \frac{y_2 - y_1}{x_2 -x_1} = \frac{5 - 3}{3 - 2} = \frac{2}{1} = 2 [/tex]
Since the path would be perpendicular to the main street, therefore, the slope of the path would be the negative reciprocal of 2.
Thus, the slope of the path, m = -½.
The y-intercept of the path is the point at which the line of the path cuts across the y-axis.
The path intercepts the y-axis at y = 3. Therefore, the y-intercept (b) = 3.
Substitute m = -½, and b = 3 into [tex] y = mx + b [/tex].
✅The equation that represents the path would be:
[tex] y = -\frac{1}{2}x + 3 [/tex]
Answer:
its y=1/2x+4 lol the other guy was 1 off
Step-by-step explanation:
f(x)=2^x+1 and g(x)= f (x-3)
Enter the rule of function for g in the box
g (x) =
The length of a rectangle is four times its width. Twice the perimeter of that rectangle is 160 cm. Find
the length and width of that rectangle. pls answer fast
Answer:
Step-by-step explanation:
Given twice the perimeter of rectangle =160
Let width of the rectangle=X
So length of the rectangle =4x
2(perimeter of rectangle)=160
2[2(length+width)]=160
4(4x+x)=160
5x=160/4
5x=40
X=40/8
X=5cm
So length of the rectangle =4x
=20cm
Width of the rectangle =X
=5cm.
Length = 4*5 = 20 cm
Width. = 4 cm.
Explain this to me please.
Answer:
f(x + 3) = x² + 3x - 2
General Formulas and Concepts:
Order of Operations: BPEMDASExpand by FOIL (First Outside Inside Last)Step-by-step explanation:
Step 1: Define
f(x) = x² - 3x - 2
f(x + 3) is x = x + 3
Step 2: Find
Substitute: f(x + 3) = (x + 3)² - 3(x + 3) - 2Expand by FOILing: f(x + 3) = x² + 6x + 9 - 3(x + 3) - 2Distribute 3: f(x + 3) = x² + 6x + 9 - 3x - 9 - 2Combine like terms: f(x + 3) = x² + 3x - 2A developer has 7 1/2 acres of land to build houses on. If each house is to be built on -1/4 acre plot, how many houses can he build?
a 3
b 5
c 30
d 35
HELPPPP PLEASEEE ASAPPPPP
Answer:
Step-by-step explanation:
PQRS
PQ + QR + RS + PS = 186
RS = SP - 7
PQ = RS = x - 7
QR = PS = x
2x + 2(x - 7) = 186
4x = 200
x = 50
PQ and RS = 43
QR and SP are 50
What is 65658 divided by 706? SHOW YOUR WORK!!
Answer:
the answer is 93
Step-by-step explanation:
i dont know how to explain it but just use a calculator.
What’s the answer for r
Answer:
can you show a picture :)
Use the vertex formula to find the vertex of the quadratic function f(x) = -x2 + 4x - 8.
find the missing value for each of the following 3 questions
1. 5% of 60 is _____
2. 40% of 500 is _____
3. 75% of 60 is ______
Answer:
1. 3
2. 200
3. 45
Step-by-step explanation:
What division problem can be represented using the number line?
A number line going from 0 to StartFraction 10 Over 3 EndFraction in increments of one-third. An arrow goes from 0 to five-thirds and from five-thirds to StartFraction 10 Over 3 EndFraction.
Answer:its b
Step-by-step explanation:
edge 2020
Answer:its b
Step-by-step explanation:
HELP ME PLZZZZZZZZZZ I WILL GIVE MORE POINTS AT THE END
Answer: the answer is u [tex]\geq[/tex] 2
i will give the BRAINIEST
given g (x)= f (x)+k. Identify a value of k that transforms f into g. Round your answer to the nearest integer.
K= 5
Step-by-step explanation:
You must count the distance between so if you look at where it lines up perfect -3,0 up to 2 the distance is 5
Answer:
k = - 5Step-by-step explanation:
The slopes are same and y-intercepts are:
2 for f and -3 for gSince we have:
g(x) = f(x) + kWe can find the value of k:
-3 = 2 + kk = -3 - 2k = -5Answer is k = - 5
ANSWER PLEASE !!!!! I NEED IT NOW!!
nixon cuts 5/6 inch sections of wood to make a birdhouse roof . he cut 24 sections. how many inches did he cut
Answer: 20 inches
Step-by-step explanation: 5/6 x 24 = 20
Answer:20 Inches
Step-by-step explanation:
5/6in*24=20inches
8.162 be when round to hundred place
I don't know if you mean rounding to the HUNDRED place or the HUNDREDTHS place, but I will give you both answers.
8.162 rounded to the hundreds place - 0
8.162 rounded to the HUNDREDTHS place- 8.16
How many feet are there in 3 meters?
Hint: 1 m 3.3 ft
Round your answer to the nearest tenth.
Answer:
9.8
Step-by-step explanation:
Answer:
9.9
Step-by-step explanation:
The Los Angeles area experiences many earthquakes. In 1994, the Northridge earthquake measured 6.7 on the Richter scale. In 2014, Los Angeles experienced an earthquake that measured 5.1 on the Richter scale. Compare the intensities of the two earthquakes. Use a logarithmic model to solve. Round to the nearest whole number.
Answer:
[tex]I_1=40I_2[/tex]
Step-by-step explanation:
[tex]M_1[/tex] = Magnitude of 1994 earthquake = 6.7
[tex]M_2[/tex] = Magnitude of 2014 earthquake = 5.1
[tex]I_1[/tex] = Intensity of 1994 earthquake
[tex]I_2[/tex] = Intensity of 2014 earthquake
[tex]I_0[/tex] = Zero-level earthquake the same distance from the epicenter = 0.001 mm
Magnitude is given by
[tex]M_1=\log(\dfrac{I_1}{I_0})\\\Rightarrow I_010^{M_1}=I_1\\\Rightarrow I_1=I_010^{6.7}[/tex]
[tex]M_2=\log(\dfrac{I_2}{I_0})\\\Rightarrow I_010^{M_2}=I_2\\\Rightarrow I_2=I_010^{5.1}[/tex]
Dividing the above intensities with each other we get
[tex]\dfrac{I_1}{I_2}=\dfrac{I_010^{6.7}}{I_010^{5.1}}\\\Rightarrow \dfrac{I_1}{I_2}=39.81\approx 40\\\Rightarrow I_1=40I_2[/tex]
The intensity of the earthquake in 1994 was 40 times stronger than the earthquake in 2014.
A team of 5 students is chosen at random from 14 girls and 13 boys. Determine
in how many ways can the team be chosen if
a) there are no restrictions.
b) there must be more girls than boys.
Answer:
A)9687600
b)340704
Step-by-step explanation:
Is this linear regression equation a good fit for the data? Why or why not? A. r = - .7622 , so this is a good negative correlation fit for the data . B. r = - .9919 , so this is a very good negative correlation fit for the data C. r = .9919 , so this is a very good positive correlation fit for the data . D. r = .7622 so this is a good positive correlation fit for the data .
Answer: Is this linear regression equation a good fit for the data? Why or why not? A. r = - .7622 , so this is a good negative correlation fit for the data . B. r = - .9919 , so this is a very good negative correlation fit for the data C. r = .9919 , so this is a very good positive correlation fit for the data . D. r = .7622 so this is a good positive correlation fit for the data .
Step-by-step explanation:
A small order of fries at Wendy’s has 90 more calories than the small order of fries at McDonald’s. If together they have 550 calories, how many calories are in the Wendy’s small order of fries?
Answer:
320 caloriesStep-by-step explanation:
Small order of fries at Wendy’s = x calories
Small order of fries at McDonald’s = y calories
x = y + 90x + y = 550Substitute x in the second equation
y + 90 + y = 5502y = 550 - 902y = 460y = 230Then, x is:
x = 230 + 90 = 320 caloriesWhat are 25 times by the same number then divide it by sixty
Candace bought 14 sacks of dog food to share equally among three dog shelters. How much dog food does each shelter get?
Answer:
4 sacks
Step-by-step explanation:
The library charged Monica $50 for a book that was 10 days overdue
Please i need help
A point on a wheel has a constant angular velocity of 3 rad/s. The angle turned through in 15 seconds is:
45 rad
10π
5 rad
90π rad
Question 3 of 10
Which of the following are trinomials?
A. 8x
B. 3y +5y2 + y
C. 6x2
D. x4 + x2 +1
E. x2 +3
F. x11
Answer:
So, only B and D are trinomials.
Step-by-step explanation:
A trinomial is an algebraic expression having three terms in it.
A. 8x
Not a trinomial because, it contains only one term.
B. 3y +5y2 + y
A trinomial because, it contains three terms.
C. 6x2
Not a trinomial because, it contains only one term.
D. x4 + x2 +1
A trinomial because, it contains three terms.
E. x2 +3
Not a trinomial because, it contains two terms only.
F. x11
Not a trinomial because, it contains only one term.
So, only B and D are trinomials.
4 cups 6 fl oz - 2 cups 7 fl oz
Answer:
What's the question?
Step-by-step explanation:
Put it DB and I'll gladly answer!
Please help it’s due
5 = 60
6 = 150
7 = 30
if you have any more questions let me know
Which is not a true statement about 4x^2 + 5x - 1 ?
Answer:
ndidnfnfjkfnfb
Step-by-step explanation:
nxbcudnbdbdhdikd
Answer:
where is the statement
what is x?
6-4x=6x-8x-2
Answer:
x=4
Step-by-step explanation:
isolate the variable (x) by dividing each side by the factors that don't contain the variable