Answer:
[tex]\boxed {\boxed {\sf y= - \frac{4}{3} x -7}}[/tex]
Step-by-step explanation:
We can find the equation using the point-slope formula.
[tex]y-y_1=m(x-x_1)[/tex]
where (x₁, y₁) is the point and m is the slope.
We already know the point is (-6,1). We must find the slope.
We are told the line is parallel to y=-4x/3 +5. Since this line is in y=mx+b form, the slope (m) must be -4/3. Parallel lines have equal slopes, so the line we are finding also has a slope of -4/3
Next, define values for the variables.
[tex]x_1= -6 \\y_1= 1\\m= - \frac{4}{3}[/tex]
Substitute the values into the formula.
[tex]y-1= - \frac{4}{3} (x--6)[/tex]
[tex]y-1= - \frac{4}{3} (x+6)[/tex]
Now put the equation into the form y=mx+b. First, distribute the -4/3 .
[tex]y-1= - \frac{4}{3} *x+ - \frac {4}{3}*6[/tex]
[tex]y-1= - \frac{4}{3} x - 8[/tex]
Add 1 to both sides to isolate y.
[tex]y-1+1= - \frac{4}{3} x - 8+1[/tex]
[tex]y= - \frac{4}{3} x -7[/tex]
The equation of the line is y=-4/3x -7
Reflect the figure across the y- axis, then state the ordered pairs of the image.
May someone please explain how I would reflect it?
Please tell me if these questions are like or unlike!! (Math)
Answer:
1. like
2.unlike
3.unlike
4.like
5. ......
6. ......
Step-by-step explanation:
Answer:
The number 5 and 6 is both unlike
I hope i it help's you
Questions in the attachments
Thank you to anyone who answers it
Answer:
C. 3.5
2 is one less than 3 and 3.5 is one less than 4.5. It's pretty easy. :)
Answer:
XY=3
Step-by-step explanation:
Find the length of the midsegment of the trapezoid.
Answer:
29
Step-by-step explanation:
The Trapezoid Midsegment segment theorem states that the length of the midsegment is half the sum of the length of its two parallel sides. Therefore:
MN = ½(AB + DC)
MN = ½(21 + 37)
MN = ½(58)
MN = 29
sooo like I need some help?
Answer:
11?
Step-by-step explanation:
The missing side is 4 so 4+4+3=11.. Maybe?
Answer:
4^2 +3^2 =5^2
=25
Step-by-step explanation:
Pythagorean Theorem.
How to covert feet into miles
Who can answer this
find the common difference of the arithmetic sequence 10, 1, -8...
Want to choose 2 letters ,without replacement, from 5 letters
Can someone please help me answer this is a test and I need to hurry
Answer:
27
Step-by-step explanation:
PLEASE HELP
what is 74 × 12
please show your work
(I'm giving out easy points dont be sad if you didn't get points on this one, I'll be posting a lot of them so no worries)
GIVeawAy
if u answer my last question ill do more giveaways
Answer:
Okay. I'll check it out. Can you help me with my last question
too?
Answer:
TY
Step-by-step explanation:
The total cost of 4 starfish was $7.20. Write and solve an equation to find how much one starfish cost.
Answer:
$1.80
Step-by-step explanation:
4x = 7.20
x = 1.80
what is the complement and supplement of 35 degrees
Answer:
it's compliment is 55 degrees (55+35 = 90 degrees)
it's supplement is 145 degrees (145 + 35 = 180 degrees)
Step-by-step explanation:
Matthew plots an integer on a number line that has an absolute value of 119. Gabrielle plots a different integer on the same number line that also has an absolute value of 119. Which two integers could Matthew and Gabrielle have plotted?
0 and 119
0 and –119
119 and –119
119 and 238
Answer: 119 and -119
Step-by-step explanation: The absolute value of a number is its distance from 0.
Answer:
119 and -119
Step-by-step explanation:
the value of a positive number inside the absolute values, signs doesn't change the value but if a negative number is put inside the absolute values, the signs change to be positive.
Hope that helps :)
30°
8 + 6x
4x + 2
in a triangle
Answer:
x=12
Step-by-step explanation:
Simplifying
30 + 4x + 2 = 8 + 6x
Reorder the terms:
30 + 2 + 4x = 8 + 6x
Combine like terms: 30 + 2 = 32
32 + 4x = 8 + 6x
Solving
32 + 4x = 8 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
32 + 4x + -6x = 8 + 6x + -6x
Combine like terms: 4x + -6x = -2x
32 + -2x = 8 + 6x + -6x
Combine like terms: 6x + -6x = 0
32 + -2x = 8 + 0
32 + -2x = 8
Add '-32' to each side of the equation.
32 + -32 + -2x = 8 + -32
Combine like terms: 32 + -32 = 0
0 + -2x = 8 + -32
-2x = 8 + -32
Combine like terms: 8 + -32 = -24
-2x = -24
Divide each side by '-2'.
x = 12
Simplifying
x = 12
2 more help !!!!!!!!
Helppppppppppppppppppppp
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Answer:
Its not because the system is y = 16, x = 7.
Step-by-step explanation:
so it will be, (16, 7)
sorry if wrong.
I want to purchase a third of a cupcake for
myself, a third for my sister, and 4 thirds for our
cousin. Katara would be great. Please help! Quickly I’m waiting 5 mins :)
Answer:
Well it would be a total of 2 Cup Cakes
Step-by-step explanation:
1/3 + 1/3 + 4/3 =2
2/3 +4/3 = 6/3
ye
Answer:
Step-by-step explanation:
it would be 2
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
maximum height reached by the rocket, to the nearest tenth of a foot.
y = -16x2 + 136x + 57
Answer:
Maximum height = 346 feet
Step-by-step explanation:
Given that,
The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation as follows :
[tex]y = -16x^2 + 136x + 57[/tex] .....(1)
We need to find the maximum height reached by the rocket. For maximum height,
Put dy/dt = 0
So,
[tex]\dfrac{d}{dt}( -16x^2 + 136x + 57)=0\\\\-32x+136=0\\\\x=\dfrac{136}{32}\\\\x=4.25[/tex]
No, put x = 4.25 in equation (1).
[tex]y = -16(4.25)^2 + 136(4.25)+ 57\\\\y=346\ feet[/tex]
So, the maximum height reached by the rocket is equal to 346 feet.
Help me please help help help
Answer:
Step-by-step explanation:
at least.
Answer these correctly I’ll give brainalist + 10 points
A chemist wishes to mix a solution that is 12% acid. She has on hand 6 liters of a 4% acid solution and wishes to add some 16% acid solution to obtain the desired
12% acid solution. How much 16% acid solution should she add?
Complete the table.
Liters of
Solution
Percent Acid Liters of
(as a decimal) Pure Acid
0.04
6
Х
0.16
0.12
Answer:
25 liters of the 16% solution should be added.
Step-by-step explanation:
pure acid amount + pure acid amount = total pure acid amount
0.02*10 + 0.16*x = 0.12*(10+x) <<<---=== it is your balance equation; x is the amount (in liters) of the 16% solution.
0.02*10 + 0.16x = 0.12*10 + 0.12*x
0.16*x - 0.12*x = 0.12*10 - 0.02*10
(0.16 - 0.12)*x = 0.12*10 - 0.02*10
x = %280.12%2A10-0.02%2A10%29%2F%280.16-0.12%29 = 25.
Answer. 25 liters of the 16% solution should be added.
Check. %280.02%2A10+%2B+0.16%2A25%29%2F%2810+%2B+25%29 = 0.12 = 12% of concentration of the final mixture. ! Correct !
Two trains on opposite tracks leave the same station at the same time. one train travels at an average speed of 80 km/hr and the other travels at an average speed of 70 km/hr. how long after they leave the station will they be 50 km apart?
Consider the non-right triangle below.
Suppose that m∠ABC=44∘, and that x=16 cm and y=13 cm. What is the area of this triangle?
cm^2
Answer:
72 cm²
Step-by-step explanation:
Given:
m<ABC = 44°
x = 16 cm
y = 13 cm
Required:
Area of the triangle
Solution:
Formula for finding area of a triangle using the Side-Angle-Side method is given as:
Area = ½*ab*sin C
where,
a = 16
b = 13
C = 44°
Plug in the values
Area = ½(16*13)*sin 44
Area = 72.2444705 ≈ 72 cm²
Help please I don’t understand
Accuracy in taking orders at a drive-through window is important for fast-food chains. Periodically, QSR Magazine publishes "The Drive-Thru Performance Study: Order Accuracy" that measures the percentage of orders that are filled correctly. In a recent month, the percentage of orders filled correctly at Burger King was approximately 90.5%. Suppose that you and two friends go to the drive-through window at Burger King and place an order. Two friends of yours independently place orders at the window at the same store.
a. What is the probability that all the three orders will be filled correctly?
b. What is the probability that none of the three will be filled correctly?
c. What is the probability that one of the three will be filled correctly?
d. What is the probability that at least one of the three will be filled correctly?
e. What is the probability that only your order will be filled correctly?
Answer:
a) 0.7412 = 74.12% probability that all the three orders will be filled correctly.
b) 0.0009 = 0.09% probability that none of the three will be filled correctly
c) 0.0245 = 2.45% probability that at least one of the three will be filled correctly.
d) 0.9991 = 99.91% probability that at least one of the three will be filled correctly
e) 0.0082 = 0.82% probability that only your order will be filled correctly
Step-by-step explanation:
For each order, there are only two possible outcomes. Either it is filled correctly, or it is not. Orders are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The percentage of orders filled correctly at Burger King was approximately 90.5%.
This means that [tex]p = 0.905[/tex]
You and 2 friends:
So 3 people in total, which means that [tex]n = 3[/tex]
a. What is the probability that all the three orders will be filled correctly?
This is P(X = 3).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{3,3}.(0.905)^{3}.(0.095)^{0} = 0.7412[/tex]
0.7412 = 74.12% probability that all the three orders will be filled correctly.
b. What is the probability that none of the three will be filled correctly?
This is P(X = 0).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.905)^{0}.(0.095)^{3} = 0.0009[/tex]
0.0009 = 0.09% probability that none of the three will be filled correctly.
c. What is the probability that one of the three will be filled correctly?
This is P(X = 1).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{3,1}.(0.905)^{1}.(0.095)^{2} = 0.0245[/tex]
0.0245 = 2.45% probability that at least one of the three will be filled correctly.
d. What is the probability that at least one of the three will be filled correctly?
This is
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
With what we found in b:
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0009 = 0.9991[/tex]
0.9991 = 99.91% probability that at least one of the three will be filled correctly.
e. What is the probability that only your order will be filled correctly?
Yours correctly with 90.5% probability, the other 2 wrong, each with 9.5% probability. So
[tex]p = 0.905*0.095*0.095 = 0.0082[/tex]
0.0082 = 0.82% probability that only your order will be filled correctly
the profits from eds plumbing company increased by 14,460, or 30% this year. what profit did the company esrn last year?
The profit of plumbing company from eds earn last year, 48200
What is the percentage?The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.
Formula for percentage;
Percentage = (present quantity/whole quantity)×100
Given that,
The profits from eds plumbing company increased by 14,460, or 30% this year
The profit company earned last year = ?
Suppose, last years profit = X
New profit = X + 0.30X = X + 14460
0.30X = 14460
X = 48200
Hence, the last years profit is 48200
To know more about Percentage check:
https://brainly.com/question/29306119
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The receipt below shows the money, in dollars, spent by a customer at the good groceries stores