First find the equation of y.
[tex]y=mx+n=\frac{\Delta y}{\Delta x}x+n[/tex]
Find the slope m.
[tex]m=\frac{5-9}{-1-3}=\frac{-4}{-4}=1[/tex].
Pick one point, I'll pick (-3, 9). Insert coordinates in equation then compute n.
[tex]9=1(-3)+n\implies n=12[/tex].
The equation of a line y is:
[tex]y=x+12[/tex].
The perpendicular line [tex]y_{\perp}[/tex] is same like the normal line except its slope m becomes:
[tex]k=-\frac{1}{m}=-1[/tex].
The equation of a perpendicular bisector is thus:
[tex]y_{\perp}=-x+12[/tex].
Hope this helps.
Answer:
[tex]y = \frac{1}{2} x + 3[/tex]
Step-by-step explanation:
Using the given points, first find the slope:
m = (₂ - y₁) / (x₂ - x₁)
= (5 - 9) / (-1 - (-3))
= -4 / 2
= -2
Find y-intercept by using anyone of the give points and slope from above:
y = mx + b
5 = -2(-1) + b
5 = 2 + b
b = 3
With the m and b, you can make equation of line:
y = mx + b
y = -2x + 3
To find the perpendicular slope, make it opposite and inverse it.
m = -2 becomes 1/2
Regular equation of line:
y = -2x + 3
Perpendicular equation of line:
[tex]y = \frac{1}{2} x + 3[/tex]
Jenise throws a ball 75 times and hits the target 41 times. What is the experimental probability that she will hit the target? State your answer as a percent.
Answer:
Step-by-step explanation:
Probability is the ratio of the required outcome to the total possible outcome
Total outcome = 75
Number of times target was hit (expected outcome) = 41
Pr(she will hit target)= 41/75
Next is to state in percent and u do that by multiplying the resulting fraction by 100
41/75 i n percent.
41/75×100
= 4100/75
= 54.67%
Hence the answer in percentage is 54.67%
ASAP ASAP PLEASEEEEE! WILL GIVE BRAINLIST
Answer:
A: -6r+6
Step-by-step explanation:
[tex]8-\left(6r+2\right)[/tex]
[tex]-(6r+2)=-6r+2[/tex]
[tex]=8-6r-2[/tex]
[tex]8-6r-2=-6r+6[/tex]
[tex]=-6r+6[/tex]
What is the length of segment with endpoints at (-3,4) and (4,4)?
Answer:
7,0
you add to get this answer to get another answer which is this answer
Calculate the mean of the given data set. You must show your work to receive all possible points.
68 ,63,67,66,65,87,69,61,86,82,28
Please help!
Answer:
87
Step-by-step explanation:
In math, the mean is the middle number of a sequence.
Suppose that a family wants to increase the size of the garden which is currently 16 feet long and 8 feet wide without changing the basic shape of the garden. That is, the family wants to ensure that the length of the garden remains twice the width (see figure).
1. Write an equation for the area of the new garden.
2. Write an equation that calculates how much more area the new garden will have as compared to the current garden. Simplify the equation into a quadratic equation in standard form.
3. Using the equation from Exercise 2, determine what effect increasing the width of the garden by two feet will have on the length of the garden and the total area of the garden.
4. Using the equation from Exercise 2 and factoring, determine how much the width of the garden will need to be increased in order for the garden area to be 160 square feet larger than its original area.
5. Using the equation from Exercise 2 and factoring, determine how much the width of the garden will need to be increased in order for the garden area to be four times its original area.
Answer:
See below
Step-by-step explanation:
Sides of the garden
16 feet and 8 feetNew dimensions of the garden
16 + 2x and 8 + x1. The area of the new garden
(16 + 2x)(8 + x) = 2x^2 + 32x + 1282. The difference in area
2x^2 + 32x + 128 - 16*8 = 2x^2 + 32x3. x= 2 effect on the area
2*2^2 + 32*2 = 8 + 64 =72 ft²4. Area difference = 160
2x^2 + 32x = 160x^2 + 16x - 80 = 0Solving we get positive root of 4 ft5. Area difference = 4 times
2x^2 + 32x = 128*32x^2 + 32x - 384 = 0x^2 + 16x - 192= 0Solving we get positive root of 8 ftNeed some help ...please ?
Answer:
C. Starting from the height 1103ft, you gain 91ft each additional hour of climbling
Step-by-step explanation:
First, you subtract the 0 hour from the first hour (or second by third either or works).
1103-1194=91
Then, you put your answer in word for , which is "Starting from the height 1103ft, you gain 91ft each additional hour of climbling".
Finally go back and check to see if you made any mistakes.
M=−8j−9k+9 solve for k?
Answer:
k= -8/9j+ -1/9m+ 1
Step-by-step explanation:
Let's solve for k.
m=−8j−9k+9
Step 1: Flip the equation.
−8j−9k+9=m
Step 2: Add 8j to both sides.
−8j−9k+9+8j=m+8j
−9k+9=8j+m
Step 3: Add -9 to both sides.
−9k+9+−9=8j+m+−9
−9k=8j+m−9
Step 4: Divide both sides by -9.
-9k/-9= 8j+m-9/-9
20n + 100 greater than or equal to 320
Answer:
n greater than or equal to 11
Step-by-step explanation:
Jason has three more than four times the amount of money that Jeff has. Together they have $72 How much does each person have?
Answer:
$58.20$13.80Step-by-step explanation:
Let Jason's money be x and Jeff's money be y
x = 4y + 3x + y = 72Substitute x in the second equation
4y + 3 + y = 725y = 69y= 69/5y = $13.80Then
x = 4*13.8 + 3 = $58.2Karen's favorite movie is 123.13 minutes long. Her second-favorite movie is 96.75 minutes long. How much longer is her
favorite movie?
Answer:
Her favorite movie is 26.38 minutes longer
Step-by-step explanation:
All you have to do is subtract 123.13 by 96.75.
123.13 - 96.75= 26.38
i need help with
If x = 5, find the value of LaTeX: 16-x16 − x
Answer:
-69
Step-by-step explanation:
16-(5)(16)-(5)
16x5=80
16-80-5
16-80=-64
-64-5=-69
it says to show work...
Answer:
The answer is no solution.
Step-by-step explanation:
Consider the expression 3 + 4 x (5+6) + 7.
Which operation should be evaluated first?
When looking at this image, please answer all 3 parts (a,b,c).
Write down the letter of the symbols have Reflectional symmetry.
Write down the letter of the symbols have symmetry by Translation.
Write down the letter of the symbols have Rotational symmetry.
Answer:
see below
Step-by-step explanation:
1. letter of the symbols have Reflectional symmetry.
A, B, C, G, I, L
2. letter of the symbols have symmetry by Translation.
A, B, C, D, E, F, G, H, I, J, K, L
3. letter of the symbols have Rotational symmetry.
C, D, L
Jocelynn paid $3.01 for an item which cost $34.80 before sales tax is applied. If the sales tax remains the same, how much money, to the nearest cent, will she pay for a $100 item.
−2(−4n + 1)+5(25n − 8)=−62.
Answer:
bet
Step-by-step explanation:
Answer:
n=-20/133
Step-by-step explanation:
Use the distributive property to multiply −2 by −4n+1.
8n−2+5(25n−8)=−62
Use the distributive property to multiply 5 by 25n−8.
8n−2+125n−40=−62
Combine 8n and 125n to get 133n.
133n−2−40=−62
Subtract 40 from −2 to get −42.
133n−42=−62
Add 42 to both sides.
133n=−62+42
Add −62 and 42 to get −20.
133n=−20
Divide both sides by 133.
n=-20/133
Fraction −20/133≈−0.15037594 can be rewritten as −20/133 ≈−0.15037594 by extracting the negative sign.
n=−20/133
Explain why the solution set of the inequality |x|<5 is the intersection of two sets, while the solution set of the inequality |x|>5 is the union of two sets.The solution of |x|<5 is the set of numbers that makes either of two inequalities true. The solution set of |x|>5 is the set of numbers that makes both of two inequalities true. The solution of |x|<5 is the set of numbers between −5 and 5. The solution set of |x|>5 is the set of numbers greater than 5. The solution of |x|<5 is the set of numbers that makes both of two inequalities true. The solution of |x|>5 is the set of numbers that makes either of two inequalities true. The solution of |x|<5 is the set of numbers less than −5. The solution of |x|>5 is the set of numbers between −5 and 5.
Answer:
The region of the [tex]|x|<5[/tex] is the common area between -5 and 5.
But there is no common area for the solution of [tex]|x|>5[/tex].
Step-by-step explanation:
Given two modulus functions:
[tex]1.\ |x|<5\\2.\ |x|>5[/tex]
Let us have a look at the definition of modulus function first:
[tex]|x|=\left \{ {-{x}\ if\ x<0 \atop {x}\ if\ x>0} \right.[/tex]
Now, solving the above given modulus functions one by one using the definition of modulus function.
Solution 1 :
[tex]\pm x <5\\\Rightarrow x<5, -x<5\\OR\\\Rightarrow x<5, x>-5[/tex]
Kindly refer to the attached diagram for solution.
The area shaded in the green color shows the solution for this equation.
Solution 2 :
[tex]\pm x >5\\\Rightarrow x>5, -x>5\\OR\\\Rightarrow x>5, x<-5[/tex]
Kindly refer to the attached diagram for solution.
The area shaded in the blue color shows the solution for this equation.
We can clearly observe that the region of the first equation is the common area between -5 and 5.
But there is no common area for the solution of the second equation.
Therefore, solution of [tex]|x|<5[/tex] has intersection and
solution of [tex]|x|>5[/tex] has union.
Answer:
The solution of |x|<5 is the set of numbers that makes both of two inequalities true. The solution of |x|>5 is the set of numbers that makes either of two inequalities true.
Step-by-step explanation:
On a map, 1 inch equals 6 miles. Two cities are 7.5 inches apart on
the map. What is the actual distance between the cities?
I really need help
Please help I will give 25 points!
Please I need this ASAP 15 points
Answer:
The two bowling alleys cost the same when there are 10 people in the group.
Step-by-step explanation:
Bustlin' Bowling first:
$35 base price and then $2 for each person. You can model that with b = 35 + 2x where b is the price and x is the guest number.
Grand Entertainment next:
$20 base price and then $3.50 for each person. You can model that with g = 20 + 3.5x where g is the price and x is the guest number.
So the question asks for the number of people (or what's x) that makes the cost of both bowling places equal.
In variables, it's asking when b = g, what is x?
Starting with b = g, we can replace those with the actual equations. If b = 35 + 2x and g = 20 + 3.5x, then b = g is the same as 35 + 2x = 20 + 3.5x.
I think you know how to solve that (because the trickiest part is usually translating the words into a solvable equation) but in case you don't, here's how:
35 + 2x = 20 + 3.5x
Subtract 2x from both sides.
35 = 20 + 3.5x - 2x
35 = 20 + 1.5x
Subtract 20 from both sides.
35 - 20 = 1.5x
15 = 1.5x
Divide both sides by 1.5.
15/1.5 = 1.5x/1.5
10 = x
Sooo, the answer is 10 people.
Please mark as Brainliest! :)
what is the equation of the line in standard form through each point? (3,1) & perpendicular to -4c + y - 1= 0
round 0.865 to the nearest tenth
Answer:
0.9
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
.865 will be rounded up to 1
You rode 180 miles at 60 miles per hour. Let t be the time it took. Can t be 4 hours?
Answer:
t = 3 hours, therefore it cannot be 4 hours
Step-by-step explanation:
Divide the miles traveled by the rate you traveled. This will find the time it took to travel.
180/60 = 3
You drove 3 hours to travel 180 miles, therefore t cannot equal 4.
0.6399 round to the nearest tenth
ANSWER : 0
EXPLANATION :
Bob reads 72 chapters of a book in 8 hours.
What is his rate in chapters per hour
Answer:
9 chapters per hour (ration 9:1)
Step-by-step explanation:
The vertices of rectangle HIJK,after a reflection over the y-axis, are H′(–3, 6), I′(5, 6), J′(5, –1), and K′(–3, –1). What were the coordinates of pre-image point J?
Answer:(-5,-1)
Step-by-step explanation:
9^4 x 9^5=9 to the power of what
Answer:
9⁹
Step-by-step explanation:
Hi there !
9⁴ ₓ 9⁵ = 9⁴⁺⁵ = 9⁹
Good luck !
First CORRECT ANSWER gets Brainliest
Answer:the actual answer is 43 not 34
Step-by-step explanation:
• Earth: $$ kilograms
• Sun: $$ kilograms
How many Earths weigh about as much as the Sun?
Use scientific notation.
Need help please!!!!!
