Y=6x+13 x-intercept and y-intercept
Answer:
y int (0, 13)
x int (-13/6,0)
just make the x = 0 and solve to get y
same with the x make y =0 and solve
Distance between the lines 3x +4y =9 and 6x + 8y =15 is
hope it helps you
can you BRAINLEST me
Answer:
0.3 unitsStep-by-step explanation:
Given lines in standard form:
ax + by = c3x +4y =9 and 6x + 8y =15We can see they have same slopes:
m = -3/4 and m = -6/8 = -3/4The lines after simplification of the second one:
3x + 4y = 9 3x + 4y = 7.5Since the lines are parallel, use the distance formula:
[tex]d= |c_1-c_2|/\sqrt{a^2+b^2}[/tex]Substitute the values and find d:
[tex]d = |9-7.5|/\sqrt{3^2+4^2} = |1.5|/\sqrt{25} =1.5/5=0.3[/tex]Bag A contains 3 red balls and 1 blue ball. Bag B contains 1 red ball and 1 blue ball. You perform the following experiment. First, randomly pick one ball from each bag. Next, place the ball from bag A into bag B and the ball from bag B into bag A. What is the expected number (or mean) of red balls in the bag A
Answer:
2
Step-by-step explanation:
because the tree you must have more red balls than blue
Match the following items.
Determine the functions if θ is a first-quadrant angle, and sin = .
1. cosθ √(15)/5
2. tanθ √(10)/2
3. cscθ √(15)/3
4. secθ √6/3
5. cotθ √6/2
The functions are illustrations of trigonometry ratios
[tex]\mathbf{(a)\ cos\theta = \frac{\sqrt{15}}{5}}[/tex]
The sine of an angle is calculated as follows
[tex]\mathbf{sin\theta = \sqrt{1 - cos^2\theta}}[/tex]
So, we have:
[tex]\mathbf{sin\theta = \sqrt{1 - (\sqrt{15}/5)}}[/tex]
[tex]\mathbf{sin\theta = \sqrt{1 - (15/25)}}[/tex]
Take LCM
[tex]\mathbf{sin\theta = \sqrt{\frac{10}{25}}}[/tex]
[tex]\mathbf{sin\theta = \frac{\sqrt{10}}{5}}[/tex]
[tex]\mathbf{(b)\ tan\theta = \frac{\sqrt{10}}{2}}[/tex]
The tangent of an angle is:
[tex]\mathbf{\ tan\theta = \frac{Opposite}{Adjacent}}[/tex]
Using Pythagoras theorem, we have:
[tex]\mathbf{Hypotenuse^2 = Opposite^2 + Adjacent^2}[/tex]
So, we have:
[tex]\mathbf{Hypotenuse^2 = (\sqrt{10})^2 + 2^2}[/tex]
[tex]\mathbf{Hypotenuse^2 = 10 + 4}[/tex]
[tex]\mathbf{Hypotenuse^2 = 14}[/tex]
Take square roots
[tex]\mathbf{Hypotenuse = \sqrt{14}}[/tex]
So, the sine of the angle is:
[tex]\mathbf{\ sin\theta = \frac{Opposite}{Hypotenuse}}[/tex]
[tex]\mathbf{\ sin\theta = \frac{\sqrt{10}}{\sqrt{14}}}[/tex]
Rationalize
[tex]\mathbf{\ sin\theta = \frac{\sqrt{140}}{14}}[/tex]
[tex]\mathbf{(c)\ csc\theta = \frac{\sqrt{15}}{3}}[/tex]
The sine of the angles is:
[tex]\mathbf{sin \theta = \frac{1}{csc\theta}}[/tex]
So, we have:
[tex]\mathbf{sin \theta = \frac{1}{\sqrt{15}/3}}[/tex]
[tex]\mathbf{sin \theta = \frac{3}{\sqrt{15}}}[/tex]
Rationalize
[tex]\mathbf{sin \theta = \frac{3\sqrt{15}}{15}}[/tex]
[tex]\mathbf{sin \theta = \frac{\sqrt{15}}{5}}[/tex]
[tex]\mathbf{(d)\ sec\theta =\frac{\sqrt 6}{3}}}[/tex]
The sine of an angle is calculated as follows
[tex]\mathbf{sin\theta = \sqrt{1 - (1/sec\theta)^2}}[/tex]
So, we have:
[tex]\mathbf{sin\theta = \sqrt{1 - (3/\sqrt 6)^2}}[/tex]
[tex]\mathbf{sin\theta = \sqrt{(1 - 9/6)}}[/tex]
[tex]\mathbf{sin\theta = \sqrt{( - 3/6)}}[/tex]
The sine of the angle does not have a real value
[tex]\mathbf{(e)\ cot\theta = \frac{\sqrt 6}{2}}[/tex]
Start by calculating the tangent of the angle
[tex]\mathbf{tan\theta = \frac{1}{cot\theta}}[/tex]
So, we have:
[tex]\mathbf{tan\theta = \frac{1}{\sqrt 6/2}}[/tex]
[tex]\mathbf{tan\theta = \frac{2}{\sqrt 6}}[/tex]
Rationalize
[tex]\mathbf{tan\theta = \frac{2\sqrt 6}{6}}[/tex]
[tex]\mathbf{tan\theta = \frac{\sqrt 6}{3}}[/tex]
The tangent of an angle is:
[tex]\mathbf{\ tan\theta = \frac{Opposite}{Adjacent}}[/tex]
Using Pythagoras theorem, we have:
[tex]\mathbf{Hypotenuse^2 = Opposite^2 + Adjacent^2}[/tex]
So, we have:
[tex]\mathbf{Hypotenuse^2 = (\sqrt{6})^2 + 3^2}[/tex]
[tex]\mathbf{Hypotenuse^2 = 6 + 9}[/tex]
[tex]\mathbf{Hypotenuse^2 = 15}[/tex]
Take square roots
[tex]\mathbf{Hypotenuse = \sqrt{15}}[/tex]
So, the sine of the angle is:
[tex]\mathbf{\ sin\theta = \frac{Opposite}{Hypotenuse}}[/tex]
[tex]\mathbf{\ sin\theta = \frac{\sqrt{6}}{\sqrt{15}}}[/tex]
Rationalize
[tex]\mathbf{\ sin\theta = \frac{\sqrt{90}}{15}}[/tex]
Rewrite as:
[tex]\mathbf{\ sin\theta = \frac{3\sqrt{10}}{15}}[/tex]
[tex]\mathbf{\ sin\theta = \frac{\sqrt{10}}{5}}[/tex]
Read more about trigonometry ratios at:
https://brainly.com/question/24888715
Which of the following algebraic expressions will translate “the sum of eight and twice w”?
A: 8 + w
B: 2(8) + w
C: 8 = 2w
D: None of these choices are correct.
d
8+2x is the correct answer
Guys please help this is making my brain hurt I will give brainliest btw
Answer:
in order from the top down
2,5,1,4,5
Which is an equation of the line through the origin and (3,4)? Please help
A. y = 4/3x
B. y = 3/4x
C. y = 4x
D. y = 3x
Aashi buys
2 packets of bread rolls costing £1.40 for each packet
1 bottle of ketchup costing £1.80
3 packets of sausages
Aashi pays with a £10 note.
She gets 45p change.
Work out the price in pounds (£) of one pack of sausages.
(you will get brainliest) !! :D
Price of one unit Sausage = 1.65
Sum ( Price x Quantity) = Total Expenditure
Price of Bread x Quantity of Bread + Price of Ketchup x Quantity of Ketchup + Price of Sausage x Quantity of Sausage
Total Expenditure Value = 10 - 0.45 = 9.55
Let price of sausage = P
Therefore, 2 (1.40) + 1 (1.80) + 3 P = 9.55
2.80 + 1.80 + 3 Ps = 9.55
4.6 + 3 P = 9.55
3P = 9.55 - 4.60 = 4.95
P = 4.95 / 3 = 1.65
To learn more, refer https://brainly.com/question/16910784?referrer=searchResults
I have more questions then this
Answer:
maybe 3 option
Step-by-step explanation:
hope helpful
have a great day
please answer the question above
it's (Septagon)
Answer:
128.57
Step-by-step explanation:
each angle is equal and all of them will sum 900 degrees
Answer:
128.6... degrees
Step-by-step explanation:
Because regular shapes have all equal angles, we can do this:
900/7
regular septagons/heptagons have 7 sides
900/7 = 128.571429 or about 128.6
Please answer. Don't spam!
Hello Gumiho!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
Find the distance.
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
Refer to the attached picture for the steps.
Answer :- The answer will be (c) [tex]\boxed{\boxed{\tt\sqrt{a^{2} + b^{2}}}}[/tex]
__________________
Hope it'll help you!
ℓu¢αzz ッ
Write the equation of the line parallel to y=6 that passes through the point (2, -3). Write your answer in slope-intercept form.
Answer:
Y=-3
You see y=-3 does pass through 2,3 and is also parallel to y=6
Plz help me
I will thank you
Answer: 89674 buckets were produced in 4 months
Answer:
Step-by-step explanation:
First you have to do 5263 / 7 = 751.9 (rounded 751.857143)
Then do 751.9x121.6= 91 431
You get 121.6 because that is how many days are in 4 months.
Hope this helps !!!!
Have a good day/night!!<333
Choose the scientific notation for 0.01.
O 1x 10-4
O 1x 103
O 1x 10-2
O 1x 101
Answer:
1×10-2
Step-by-step explanation:
10-2 = 1÷100 =0.01×1 = 1× 10-2
50!
4! 46!
How do I solve this? I learned it yesterday
Answer: 50! = 3.0414093e+64. 4!= 24. 46!=5.5026222e+57
Plz help I need help
Answer:
x = 6
Step-by-step explanation:
This can be written as a ratio
7 : 2
21 : x
If you times one side by 3, you have to multiply the other side by three too:
2 × 3 = 6
∴ x = 6 when y = 21
Choose the numbers to find the product shown by the model.
-
0.5 x ? = ?
Answers: (this one is for what it was multiplied by)
A) 0.01
B) 0.1
C) 1
D) 10
Answers to the question:
E) 0.005
F) 0.05
G)0.5
H)5
Answer: A F D G
Step-by-step explanation:
Given f(x) = 2x - 3, find f(8)
***EXPLANATION NEEDED***
Answer:
f(8) = 13
Step-by-step explanation:
Step 1: Plug in 8 for the value of x.
[tex]f(8) = 2(8) - 3[/tex]Step 2: Multiply 2 by 8.
[tex]f(8) = 16 - 3[/tex]Step 3: Subtract 3 from 16.
[tex]f(8) = 13[/tex]Therefore, f(8) = 13.
Answer:
Step-by-step explanation:
Hi there!
Given;
f(x) = 2x - 3
To find: f(8)
Replace 8 in each place where there is "x" in f(x).
or, f(8) = 2*8 -3
= 16-3
= 13
Therefore, f(8) = 13.
Hope it helps!
The perimeter of a rectangular garden is 332 m.
If the length of the garden is 93 m, what is its width?
Answer:
73
Step-by-step explanation:
332÷2= 166
166 - 93 = 73
-7 over 1 3rd written as a fraction is
Answer: 22/3 I think
sorry if it’s wrong
Answer:
7 1/3
i hope this helps you can do it
Which of the following coordinate points have a y-value of 6? Select all that apply.
A) (3, 6)
B) (6, 5)
C) (8, 6)
D) (1, 6)
Answer
A, C, and D
Step-by-step explanation:
You are trying to find the y value in (x,y) form. Therefore, it has to be A, C, and D because they all have a 6 in the y value.
What are the three major responsibilities of the county sheriff? (Site 1)
Answer:1. They make policies
2. They perform executive duties
3. They plan environmental and land use policy
Step-by-step explanation:
Answer:
To become rich
Step-by-step explanation:
I'm rich so
A manufacturer of bicycles has determined that 550 bikes per month will be sold at a price of $250. At a price of $150, it is estimated that 750 bikes will be sold. a) Determine a linear function (equation) that predicts the number of bikes that will be sold each month at any given price. b) Use your equation from question a to predict how many bikes will be sold at $350.
Answer:
A is the answer
trust me
here is your answer and please follow me and Mark me As brain list
A manufacturer of bicycles has determined that 550 bikes per month will be sold at a price of $250. At a price of $150, it is estimated that 750 bikes will be sold.
a) Determine a linear function (equation) that predicts the number of bikes that will be sold each month at any given price.
b) Use your equation from question a to predict how many bikes will be sold at $350.
Step-by-step explanation:
Option A os Correct
A rectangle is drawn so that the width is 1 feet shorter than the length. The area of the rectangle is 72 square feet. Find the length of the rectangle.
Answer:
9 ft
Step-by-step explanation:
Atea = length* width
what two numbers multiply to 72 but are one number apart
9 * 8
9 is the length since the width is given as being shorter.
other numbers can multiply to 72 but they are not one number apart.
Answer:
9ft
Step-by-step explanation:
5(Y-1)=3(2Y-5)-(1-3Y)
Answer: =11/4
Step-by-step explanation:
Answer:
[tex]y = 2 \frac{3}{4} \\ [/tex]
Step-by-step explanation:
[tex]5(y - 1) = 3(2y - 5) - (1 - 3y) \\ 5y - 5 = 6y - 15 - 1 + 3y \\ 5y - 5 = 9y - 16 \\ 16 - 5 = 9y - 5y \\ 11 = 4y \\ \frac{11}{4} = y \\ 2 \frac{3}{4} = y \\ [/tex]
Evaluate.
plz help
12⋅(14+13)2+23
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
52
Step-by-step explanation:
14+13= 27+2=29+23=52
The value of the numerical expression 12 ⋅ (14 + 13)² + 23 will be 8771.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
The expression is given below.
⇒ 12 ⋅ (14 + 13)² + 23
Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction are all part of the PEMDAS formula. To answer the problem properly and accurately, this rule must be followed.
⇒ 12 ⋅ (14 + 13)² + 23
⇒ 12 ⋅ (27)² + 23
⇒ 12 ⋅ 729 + 23
⇒ 8748 + 23
⇒ 8771
The value of the numerical expression 12 ⋅ (14 + 13)² + 23 will be 8771.
More about the value of the expression link is given below.
brainly.com/question/23671908
#SPJ5
4. Allen is showing his work in simplifying -8.3 + 9.2 - 4.4 + 3.7. Identify and explain any errors in his work or in his reasoning. Write feedback to Allen explaining the mistake he made and how to correct his work. (5 points) Step Work Reasoning −8.3 + 9.2 − 4.4 + 3.7 Original problem 1 −8.3 + 9.2 + 4.4 + 3.7 Additive inverse 2 −8.3 + 4.4 + 9.2 + 3.7 Commutative property 3 −8.3 + (4.4 + 9.2 + 3.7) Associative property 4 −8.3 + 17.3 Simplify 5 9 Simplify
Answer:
-8.3 + 9.2 - 4.4 + 3.7
= -8.3 + 9.2 + (-4.4) + 3.7 {Additive inverse}
= -8.3 + (-4.4) + 9.2 + 3.7 {Commutative Property}
= [ -8.3 + (-4.4] + [ 9.2 + 3.7] {Associative property}
= - 12.7 + 12.9
= 0.2
Step-by-step explanation:
Simplify the expression the square root of 4x^2/3y. Show your work.
Answer:
2x/3y
Step-by-step explanation:
√4x^2/3y
√4√x^2/3y
2x/3y
the nth term of a sequence is n(n-8)÷√n+3
find the 1st and 6th terms
Answer:
-4 and -2✓6+3
Step-by-step explanation:
use pemdas
1(1-8)÷✓1 + 3
-7÷1+3
-4
6(6-8)÷✓6+3
-12÷✓6+3
multiply fraction by ✓6 on bottom and top to get rid of square root on bottom
-12✓6÷6+3
divide -12 by 6 and put radical next to it
-2✓6+3
which of the following is not a perfect tube 1, 9, 8,27
Answer:
9
Step-by-step explanation:
9 is not a cube number; it is 3 squared. 3³ is 27, 1³ is 1 and 2³ is 8.
9 is not a perfect cube because ∛9 is not a whole number.
Hope this helps!