Answer:
y - 7 = 5(x + 7).
Step-by-step explanation:
The slope m (7--3)/ (-7- -9)
= 10 / 2 = 5.
y - y1 = m(x - x1)
Using the point (-7, 7):
y - 7 = 5(x + 7).
Given the following two equations determine if they are parallel, perpendicular, or neither.
3x + 6y = 30
4y + 2x = 9
Please show work!
Answer:
Parallel
Step-by-step explanation:
What you want to do first is to put both equations into the slope intercept form: y=mx+b.
In the first equation, you move the [tex]3x[/tex] to the right side of the equal sign by subtracting on both sides:
[tex]6y = -3x + 30[/tex]
Then you want to divide both sides by 6 to isolate y:
[tex]y = -\frac{1}{2}x + 5[/tex]
Next for the second equation, you do similar steps. You subtract [tex]2x[/tex] from both sides:
[tex]4y=-2x+9[/tex]
Then you want to divide both sides by '4' to isolate y:
[tex]y= -\frac{1}{2}x+\frac{9}{4}[/tex]
Now to check if the two equations are parallel, perpendicular, or neither, you compare the slopes 'm' which is the coefficient next 'x'. If two equations have the same slope, then they are parallel. If the slopes multiplied equal -1, then they are perpendicular. If the slopes are not the same or if the product of the slopes is not -1, then it is neither.
In the case of this problem, the slopes are the same, so the equations are parallel:
[tex]-\frac{1}{2} = -\frac{1}{2}[/tex]
Liam is a rewards member at a local restaurant. He can buy four tacos at regular price and get 5.50 off of his purchase. Zachary found a coupon to buy three tacos at regular price and get 6.50 off his total. What would the taco price x need to be in order for Liam and Zachary to spend the same amount?
Liam can buy 4 tacos at regular price and get 5.50 off of his purchase while Zachary can buy 3 tacos at regular price and get 6.50 off his total.
There is no price of the taco that makes that both of them spend the same.
Liam and Zachary buy tacos at the same place. Let "x" be the price of each taco and "y" be the total amount spent.
Liam can buy 4 tacos at regular price and get 5.50 off of his purchase.
We can represent the situation through the following linear equation.
y = 4x - 5.50 [1]
Zachary found a coupon to buy three tacos at regular price and get 6.50 off his total.
We can represent the situation through the following linear equation.
y = 3x - 6.50 [2]
We want to know the prices of the taco so that both of them spend the same amount.
We calculate it making [1] equal to [2].
4x - 5.50 = 3x - 6.50
4x - 3x = -6.50 + 5.50
x = -1.00
The taco would have cost -1.00 for both of them to spend the same. Since in reality, this is unlikely, we can say that there is no price of the taco that makes that both of them spend the same.
Liam can buy 4 tacos at regular price and get 5.50 off of his purchase while Zachary can buy 3 tacos at regular price and get 6.50 off his total.
There is no price of the taco that makes that both of them spend the same.
Learn more about linear equations here: https://brainly.com/question/2263981
7. What is the equation of the line that passes through (-1, -4) and (0,5)?
A.) y = 9x + 5 B.) y = 5x + 9 C.) y = -9x + 5 D.) y = -5x + 9 E.) none of these
1
Answer:
A)y=9x+5
Step-by-step explanation:
If x=-1, y=-4,
y=9*-1+5=(-9)+5=-4
If x=0, y=5,
y=9*0+5=5
Write an expression in simplest form that represents the area of the banner
Answer:
Can I have a picture so I can give you one
Step-by-step explanation:
thank you
Solve the equation. Type just the numeral answer. Do NOT round your solution.
n
= -1.2
-1.5
n=
Answer:
-2.7
thats the answer but i cant submit without some words lol
Answer:
n= 1.8
Step-by-step explanation:
Solve the following expression:
n/-15 = -1.2
-Multiply -1.5 on both sides:
(-1.5) n/-1.5 = -1.2(-1.5)
n=1.8
Therefore, the final answer is n = 1.8.
The modified expression x^3(2x+5)-4(2x+5) has two terms with a common factor of
Answer:
( 2 x +5) ( x ^3 − 4 )
Step-by-step explanation:
I dont think this the answer your looking for, however, if you work backwards from here by expanding, you might get what you want. :)
The sum of two numbers is 8 and
their difference is 2.
Answer:
The numbers are 3 and 5.
Step-by-step explanation:
Hope that helped.
Also can I please have Brainliest?
Only if I'm right of course
Which of the following correctly represents the given data in the problem?
a = 24, g = 48, h = 22, i = 80
a = 22, c = 80, d = 24, i = 48
a = 24, b = 48, c = 22, i = 48
a = 24, c = 48, e = 22, i = 80
Answer:
D
Step-by-step explanation:
100% true
Answer:
It is D
Step-by-step explanation:
Find the hypotenuse of a right triangle with a side of 6 and a side of 8.
(ONLY put the number of your answer.) *
Answer:
10 (can't just write a number bcs i couldn't send yoy if i won't write something else)
Find the slope of the line that passes through the points (5,2) and (6,10). *
Answer:
8
Step-by-step explanation:
[tex] \frac{10 - 2}{6 - 5} = 8[/tex]
Answer:
The slope of the line is 8
Step-by-step explanation:
Use this formula for calculating the slope with two points:
[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
(5,2) = ([tex]x_{1}[/tex],[tex]y_{1}[/tex])
(6,10) = ([tex]x_{2}, y_{2}[/tex])
Substitute the points into the equation
10 - 2 = 8
-------- --- = 8
6 - 5 = 1
So the slope would be 8.
imagine you have to hunt find food to eat what kind of food will you find
Answer:
deer
Step-by-step explanation:
Answer:
hmm...wild dear and plants
Suppose X has a continuous uniform distribution over the interval [1.3, 6.2]. Round your answers to 3 decimal places.
Required:
a. Determine the mean of X.
b. Determine the variance of X
c. What is P(X < 3.7)?
Answer:
(a) 3.75
(b) 2.00083
(c) 0.4898
Step-by-step explanation:
It is provided that X has a continuous uniform distribution over the interval [1.3, 6.2].
(a)
Compute the mean of X as follows:
[tex]\mu_{X}=\frac{a+b}{2}=\frac{1.3+6.2}{2}=3.75[/tex]
(b)
Compute the variance of X as follows:
[tex]\sigm^{2}_{X}=\frac{(b-a)^{2}}{12}=\frac{(6.2-1.3)^{2}}{12}=2.00083[/tex]
(c)
Compute the value of P(X < 3.7) as follows:
[tex]P(X < 3.7)=\int\limits^{3.7}_{1.3}{\frac{1}{6.2-1.3}}\, dx\\\\=\frac{1}{4.9}\times [x]^{3.7}_{1.3}\\\\=\frac{3.7-1.3}{4.9}\\\\\approx 0.4898[/tex]
Thus, the value of P(X < 3.7) is 0.4898.
Ms. Sunshine is going to bake cookies for her students. She wants each student to receive 2.5 cookies. If she has 25 students in her class, how many cookies does she need to bake?
Answer:
Ms. Sunshine needs to make 62.5 cookies.
Step-by-step explanation:
25 * 2.5 = 62.5
please
help i’ve been stuck on
this all day
Answer:
CPB
Step-by-step explanation:
acute is less than 90 degrees and right is 90 degrees and obtuse is over 90 degrees
Answer: The answer is CPB
2 1/8 and 17/8 are reciprocal numbers. True False
Answer:
False
Step-by-step explanation:
If make 2 1/8 into an improper fraction, it will be 17/8. a reciprocal is a flip of a number, so it is false.
Can someone help me find the area of the triangle
please!!!
Answer:
18
Step-by-step explanation:
The mean volume for a bottle of cologne is 4 ounces and the standard deviation is 0.22 ounces. A random sample of 121 bottles is taken. What is the probability of obtaining a sample mean within 0.04 ounces of the population mean?
a. 0.9545
b. 0.0363
c. 0.3085
d. 0.5000
Answer:
The standard error of the mean is 0.02
Step-by-step explanation:
Here, we want to calculate the standard error of the mean.
Mathematically;
standard error of mean = SD/ √n
where SD is the standard deviation and n is the number of samples
From the question, SD = 0.22 and n = 121
Inserting this into the equation
Standard error of the mean = 0.22/√121
= 0.22/11 = 0.02
The probability of obtaining a sample mean is "0.9545".
According to the question,
Mean,
[tex]\mu = 4[/tex]
Standard deviation,
[tex]\sigma = 0.22[/tex]
Random sample,
[tex]n = 121[/tex]
By Central limit theorem,
→ [tex]\bar {x} \sim (4, \frac{0.22}{\sqrt{121} } )[/tex]
[tex]= 0.2[/tex]
Now,
→ [tex]P(|\bar{x} - \mu| \ \alpha \ 0.04) = P(-0.04 \ \alpha \ \bar{x} - \mu \ \alpha \ 0.04)[/tex]
[tex]= P(\frac{-0.04}{0.02} \ \alpha \ z \ \alpha \ \frac{0.04}{0.02} )[/tex]
[tex]= P(-2 \ \alpha \ z \ \alpha \ 2)[/tex]
[tex]= 0.9545[/tex]
Thus the above response i.e., "option a" is appropriate.
Learn more:
https://brainly.com/question/16943601
If the Constant of Proportionality between X and Y is 12, which equation represents their relationship?
Answer:
y=12x 12=k k=constant of Proportionality
Step-by-step explanation:
You are given a penny on January 1, two pennies on January 2, four pennies on January 3, and eight pennies on January 4, and so on. 1.
Assuming the pattern continues, how many pennies do you get on the following dates? January 5 January 10 January 31
Answer:
january 5 :12
january 10:22
Step-by-step explanation:
Answer:
16 pennies512 pennies1073741824 penniesStep-by-step explanation:
We can see a pattern:
Days >> Pennies1 >> 1= 2^02 >> 2= 2^13 >> 4 = 2^24 >> 8 = 2^3...n >> 2^(n-1)So
January 5 fall on n = 5, therefore 2^4 = 16 penniesJanuary 10 falls on n = 10, therefore 2^9 = 512 penniesJanuary 31 falls on n = 31, therefore 2^30 = 1073741824 penniesProblems 4 (a and b), 6 (a,b, and c), 7 (a,b, and c), 8, and 9 (a,b, and c) Thank you so much!
For real help on this, people will receive more points to prevent point stealing.
Answer:
no problem glad to help
kelly flies a distance of 2,100 miles. The trip takes 4 2/3 hours.
What is the airplane's unit rate of speed in miles per hour?
Answer:
450 miles per hour
Step-by-step explanation:
Kelly flies at a distance of 2,100 miles
The time taken for the trip is 4 2/3 hours
Therefore the rate of speed can be calculated as follows
= 2,100 ÷ 4 2/3
= 2,100 ÷ 14/3
= 2100 × 3/14
= 150 × 3
= 450 miles per hour
Answer:
450
Step-by-step explanation:
please help me :(((((
Answer:
,hbdgyhy6jyiwci7oygiuhopuoyiudysrtaehsyrdutfihipj
Step-by-step explanation:
yugd oufygp8iuhyefyif hovujm
Alex is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal
Answer:
here
Step-by-step explanation:
Alex is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal to 180°. ... Triangle PQR has vertex P on line n and vertices Q and R on line m. Angle QPR is 80 degrees. Segment PQ makes 40 degrees angle with line n and segment PR makes 60 degrees angle with line n.
Answer:
Angle PQR measures 40 degrees
Step-by-step explanation:
No explanation took the test got it right.
Little late but, oh well, better late than never.
What is the slope of the line that passes through the points (−10,0) and (-13, 3)?
Answer:
-1
Step-by-step explanation:
To find slope
m=y2-y1
--------
x2-x1
m= 3-0
-----
-13-(-10)
m= 3
---
-3
m=-1
PLSSS HELPPPPP MEEEE III WILLL GIVVVEEE BRAINLIESTTTT!!!!!!
Answer:
it should be 4.5
Step-by-step explanation:
In the diagram below of triangle TUV, W is a midpoint of TU and X is a midpoint
of UV. IfWX = 23 – 2x, and TV = 64 – 10x, what is the measure of TV?
А.
W
T
V
Answer:
Submit Answer
Answer:
[tex] TV = 34 [/tex]
Step-by-step explanation:
WX = 23 – 2x,
TV = 64 – 10x,
First, create an equation you will use to find the value of x.
Thus:
[tex] WX = \frac{1}{2}(TV) [/tex] (midsegment theorem of a ∆)
[tex] 23 - 2x = \frac{1}{2}(64 - 10x) [/tex] (substitution)
[tex] 23 - 2x = \frac{1}{2}(64 - 10x) [/tex]
Multiply both sides by 2
[tex] (23 - 2x)*2 = \frac{1}{2}(64 - 10x)*2 [/tex]
[tex] 46 - 4x = 64 - 10x [/tex]
Collect like terms
[tex] 46 - 64= 4x - 10x [/tex]
[tex] -18= -6x [/tex]
Divide both sides by -6
[tex] 3 = x [/tex]
[tex] x = 3 [/tex]
Find TV:
[tex] TV = 64 - 10x [/tex]
Plug in the value of x
[tex] TV = 64 - 10(3) = 64 - 30 [/tex]
[tex] TV = 34 [/tex]
Answer:
the answer is 18
Step-by-step explanation: I unfortanutley got it wrong by listen to the dude that said it 34 but it's 18
The math club is having a car wash to raise funds to attend a state competition. They need to raise a minimum of $325.00. The cost of supplies for the car wash is $25.00. If they expect 40 cars on the day of the car wash, what is the amount they will have to charge each car to meet the minimum goal?
Answer:
8.75
Step-by-step explanation:
the formula to use would be:
$325 = 40x - 25
add 25 to both sides of the equation to get:
$350 = 40x
divide both sides by 40 to get:
x = 350/40 = $8.75
if they charge $8.75 per car, they will raise 40 * that for a total of $350.
they would then subtract the $25 for the cost of the supplies and they would be left with $325.
that's their minimum goal.
Answer:
8.75
Step-by-step explanation:
Simplify (10x^2− 8x − 1) + (4x^2− 8x − 5).
Answer: 14[tex]x^{2}[/tex] − 16x − 6
Please help will put brainliest
Answer:
7x - 8y = -23
Slope = 1.750/2.000 = 0.875
x - intercept = -23/7 = 3.28571
y - intercept = 23/8 = 2.87500
7x - 7y = -14
Slope = 1
x - intercept = -2/1 = -2.00000
y - intercept = 2/1 = 2.00000
PLEASE HELP ME ITS URGENT
Just the first one
Answer:
m=-1/3
Step-by-step explanation:
