Answer:
1. y + 3 = 3/5(x)
2. y - 10 = [tex]\frac{1}{2}[/tex](x + 3)
Step-by-step explanation:
1.
When a line is parallel to another line, it means that the two lines have the same slope. So, for this first problem, the slope of the other parallel line would have to be 3/5.
In the problem, they've given you a point of (0, -3).
Now, you can can plug everything you know into the point slope formula which is...
y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex]).
[tex]x_{1}[/tex] and [tex]y_{1}[/tex] are the points that you plug in, and m is the slope.
After you plug everything in, you should get:
y + 3 = 3/5(x + 0)
You don't really need to include the 0, so your final equation would be
y + 3 = 3/5(x).
2.
When a line is perpendicular to another line, it means that the slope of the other is its opposite reciprocal. This means that the slope of the perpendicular line would be 1/2. I got this by dividing 2 by 1 and multiplying it by -1.
reciprocal of -2 = -[tex]\frac{1}{2}[/tex] x -1 =
You can do the same thing we did in the previous problem with the point given here, which is (-3, 10).
y - 10 = [tex]\frac{1}{2}[/tex](x + 3)
Pls help with this pls thanks
Answer:
The books in the library are 1040
Part B
What is the density of the plne log? Show your work.
Answer:
Please Provide the an attachment.Then i can show u my answer
7 times the sum of a number and 4 is the same as 8 decreased by 3 times a number
Answer:
7x+4= 8-3x
Step-by-step explanation:
What do you think this means about solving for the variables in a situation represented by
two equations?
Answer:
In mathematics, to solve an equation is to find its solutions, which are the values (numbers, functions, sets, etc.) that fulfill the condition stated by the equation, consisting generally of two expressions related by an equals sign. When seeking a solution, one or more variables are designated as unknowns.
round 5/2 To the nearest whole number
please be quick
A 30-foot long escalator forms a 41° angle at the second floor. Which is the closest height of th
141
30 feet
A 20 feet
B. 22.5 feet
C. 24.5 feet
D. 26 feet
Answer:
[tex]\huge\boxed{\text{B) } 22.5 \ \text{feet}}[/tex]
Step-by-step explanation:
We can use basic trigonometric functions to find the closest height of the escalator.
Let's set up a picture from what we already know. The length of the escalator is 30 feet, and it forms a 41 degree angle with the top. Since it will form a 90 degree angle with the ground, we can find the angle between the ground and the beginning of the escalator.
Since all triangles have an angle sum of 180:
[tex]90+41+x=180[/tex] [tex]131+x=180[/tex] [tex]x = 180-131[/tex] [tex]x=49[/tex]Now we know that the triangle looks something like this.
/ | 41°
/ |
/ |
/ |
30 / |
/ |
/ |
/ |
/__________| 90°
49°
We need to find the length of the side between the 41 and 90° angle.
To find which trigonometric operation to use on this triangle, we can use the acronym SOH CAH TOA.
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
We can use the sine of the 49 degree angle (opposite / hypotenuse) to find our missing side (since we know the hypotenuse).
Let's set up an equation and solve with our calculator.
[tex]\text{sin}(49) = \frac{\text{opposite}}{\text{hypotenuse}}[/tex] [tex]\text{sin}(49) = \frac{x}{\text{30}}[/tex] [tex]30 \cdot \text{sin}(49) = x[/tex]We can calculate the sine of 49 with our calculator. We'd end up multiply 30 and that value and get 22.6.
Since the closest value to 22.6 on the answer choices is 22.5, the correct answer would be B) 22.5 feet.
Hope this helped!
Answer:
The answer is B.
Step-by-step explanation:
B. 22.5 feet
Create a polynomial function in standard form with a leading coefficient of 2 and zeros at 0 1 and 3 brainly
Answer:
[tex]P(x) = 2x^3 - 8x^2 + 6x[/tex]
Step-by-step explanation:
Given
[tex]p =2[/tex] -- Leading coefficient
[tex]Zeros: 0, 1\ and\ 3[/tex]
Required
Determine the polynomial
Represent the zeros with a, b and c.
Such that
[tex]a = 0[/tex]
[tex]b = 1[/tex]
[tex]c = 3[/tex]
The polynomial is:
[tex]P(x) = p * (x - a) * (x - b) * (x - c)[/tex]
[tex]P(x) = 2 * (x - 0) * (x - 1) * (x - 3)[/tex]
[tex]P(x) = 2x * (x - 1) * (x - 3)[/tex]
Open bracket
[tex]P(x) = (2x^2 - 2x) * (x - 3)[/tex]
[tex]P(x) = 2x^3 - 6x^2 - 2x^2 + 6x[/tex]
[tex]P(x) = 2x^3 - 8x^2 + 6x[/tex]
Evaluate the expression when b=5 and c=7
Answer:
7×7-5/7+3(5)
49-5/7+15
44/22
=2
so c squared - b
over c+3b is =2
The diagram shows a square with perimeter 40 cm.
7 cm
Work out the percentage of the area inside
the square that is shaded.
4 cm
Answer:
55 cm²
Step-by-step explanation:
side length of square = perimeter/4 = 40/4 = 10 cm.
area of square = side x side = 10 x 10 = 100 cm²
area of triangle #1 = 1/2bh = 1/2(3)(10) = 15
area of triangle #2 = 1/2bh = 1/2(6)(10) = 30
100 - 15 - 30 = 55 cm²
help!!!!!!!!!!!!!!!!!!!!!!
Answer:
6 ≤x
Step-by-step explanation:
12 + 11/6x ≤ 5+3x
Subtract 11/6x from each side
12 + 11/6x - 11/6x ≤ 5+3x-11/6x
Subtract 5 from each side
12 + 11/6x - 11/6x -5 ≤ 5+3x-11/6x-5
7 ≤ 3x-11/6x
Get a common denominator
7 ≤ 18/6x-11/6x
7 ≤7/6x
Multiply each side by 6/7
6/7 *7 ≤ 6/7 *7/6x
6 ≤x
How would you simplify xy^2 - yx^2?
Answer:
i think you have to change it to -x^2y+xy^2
Step-by-step explanation:
I am so sorry if i am wrong but have a good day!
Explain one way to apply inverse operations to solve each equation. Then, solve each equation and verify check your solution.
Step-by-step explanation:
We need to use inverse operations to isolate x by itself.
The inverse of addition is subtraction so we can subtract 2 from both sides
[tex]5x + 2 - 2 = 22 - 2[/tex]
[tex]5x = 20[/tex]
Divison is the inverse of multiplication so we can divide 5 by both sides to find the answer of x.
[tex] \frac{5x}{5} = \frac{20}{5} [/tex]
[tex]x = 4[/tex]
We can plug 4 in for a to verify it
[tex]5(4) + 2 = 22[/tex]
[tex]20 + 2 = 22[/tex]
[tex]22 = 22[/tex]
So it is true.
Find the percent of change. Round your answer to the nearest tent necessary, Please explain.
Original price: $185
New price: $160
Original number of students: 56
New number of students: 77
Answer:
No answer just clues
Step-by-step explanation:
x/100*160/1=185/1
y/100*56/1=77/1
I just can't do anymore metal math today, sorry.
Nabil earns $2100 a month. He spends 30 % of it and saves the rest. How much does he save each month?
$ 1470
$ 1400
$ 1450
Answer:
$1470
Step-by-step explanation:
$2100 * 70% = $1470
Lucas deposits $4,000.00 for 6 years at 2% interest, compounded monthly. How much interest does he earn at the end of the 6 years? Round to the nearest cent. SHOW THE WORK PLEASE
Answer:
$12644.56
Step-by-step explanation:
one year = 12 month
4,000 * (1.02)^(6*12) = 16644.5615
16644.5615-4000 = 12644.5615
Answer:
Step-by-step explanation:
[tex]A=P(1+r/c)^{ct}\\ \\ A=4000(1+.02/12)^{12(6)}\\ \\ A\approx \$ 4509.54[/tex]
graph the function f(x)=2x-3
Answer:
-3y ( 1, -1 )
Step-by-step explanation:
you start at -3y and move up 2 times and you'll be at ( 1, -1 )
Solve x2 - 16x + 60 = -12 by completing the steps.
Answer: x = 8 ± 2i root 2
Answer:
Thank you so much! I don't think i necessarily have to answer this at all since you already did!
Step-by-step explanation:
edge approved ;p
edit; ok now I feel kind of bad about using an answer slot just to thank you... SORRY!!!!!!!!!!
What is p / r equal to?
Using our trig functions, we know that tan x = opposite side of a right triangle divided by the adjacent side of the right triangle.
So, tan x = p/r.
Answer: tan x°
The trigonometric function gives the ratio of different sides of a right-angle triangle. The ratio of p and r can be written as tan(x°) and sec(y°).
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
As per the given figure, the ratio of the p\r can be written as shown below,
In terms of angle x,
tan(x°) = p units / r units
tan(x°) = p/r
In terms of angle y,
tan(y°) = r / p
1 / tan(y°) = r/p
sec(y°) = r/p
Hence, the ratio of p and r can be written as tan(x°) and sec(y°).
Learn more about Trigonometric functions:
https://brainly.com/question/6904750
#SPJ5
John bought a crate of floor tiles $100. The crate had 5 boxes of floor tiles. Each box contained 40 floor tiles. What is the cost per tile ?
You have a cup containing 4 green skittles, 5 red skittles, 7 yellow skittles, and 10 purple skittles. What is the probability of not pulling a purple skittle?
Answer:
about 62%
Step-by-step explanation:
add all of the numbers
subtract the number of purple skittles
do 16÷26
multiply your answer by 100
get 61.5
round up
A block of steel in the shape of a prism with a rectangular base. The measurements of the base are 30 cm by 20 cm and the height of the prism is 10 cm. By melting this block, marbles are made which have the shape of a ball. How many marbles can be made if the radius measurement of one of these marbles is 11.273 cm?
Can anyone please help?
9514 1404 393
Answer:
1 marble
Step-by-step explanation:
The volume of steel is ...
V = LWH
V = (30 cm)(20 cm)(10 cm) = 6000 cm³
The volume of a marble is ...
V = (4/3)πr³ = (4/3)π(11.273 cm)³ = 6000 cm³
The block of steel will make 1 marble.
Is 2 a solution for the equation 5x + 6=3x - (-2x - 6)
Answer:
x=0
Isolate the variable by dividing each side by factors that do not contain the variable.
Annie lives 12 miles directly south of her school. The grocery store is 5 miles east of Annie's house. Annie needs to stop by the grocery store before driving down the road that connects the store to her school. How far does Annie drive to get to school?
Answer: 18 miles.
Step-by-step explanation:
We can think on this as a triangle rectangle, where one cathetus is 12miles, and the other cathetus is 5 miles. (so the vertex of the triangle rectangle are Annie's house, the school, and the store)
The path that Annie would do is:
From her house to the store (so she drives 5 miles)
And from the store to the school, so here she drives through the hypotenuse of the triangle rectangle.
Then we need to find the length of this triangle rectangle.
We know that the square of the hypotenuse is equal to the sum of the squares of the cathetus, then:
H^2 = (12mi)^2 + (5mi)^2
H = √( (12mi)^2 + (5mi)^2) = 13mi
Then she first drives 5 miles from her house to the store, and then drives 13 miles from the store to the school, then the total distance that she drives is:
5 miles + 13 miles = 18 miles.
Help please...
show work if you can
Thank you!!!
How many solutions does 2/3(2x − 4) = 1/3(4x + 6) have?
A.0
B.1
C.2
D. Infinite
Answer:
A. 0Step-by-step explanation:
[tex]\bold{\frac23(2x-4) = \frac13(4x + 6)}\\\\\bold{\frac43x-\frac83= \frac43x + 2}\qquad\qquad\qquad \{subtract\ \frac43x\ from\ both\ sides\}\\\\\bold{-\frac83= 2}[/tex]
Inconsistent means no solution
2 meters into km
2.002 Km
2.02 Km
2.2 Km
Amir buys a new car for £16470. The value of the car will depreciate by 2% each year. Work out how much amir's car will cost after 23 years
Answer:
Amir's car will cost £10348.88 after 23 years.
Step-by-step explanation:
I finally found a UK human!
This is compound interest so you have to find a decimal multiplier and multiply that with £16470 to the power of 23.
The decimal multiplier would be 0.98. This is because you do 100% - 2% as depreciating basically means a decrease, which gives you 98% and then you divide that by 100 to get your decimal multiplier - 0.98.
16470 × [tex]0.98^{23}[/tex] = £10348.88
I hope that helps you!! ^-^
Help with pic please as siin as possibke SIMPLIFY....
Answer:
[tex]2x^3y^3[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{2x^5y^7} * \sqrt[3]{4x^4y^2} \\\\2x^3y^3[/tex]
Given m||n, find the value of x. (7x-30)+(6x-10)
Answer:
Remove parentheses.
7x−30+6x−10
Add 7x and 6x.
13x−30−10 Subtract 10 from −30.
13x−40 => x = 40/13
Step-by-step explanation:
Help needed today please
Answer:
15 units
Step-by-step explanation:
To find the length of figure B multiply the corresponding length of figure A by the scale factor, that is
length = 10 × [tex]\frac{3}{2}[/tex] = 5 × 3 = 15