The equation of the line through the given point (-5, 4) and a slope, m = undefined as given in the task content is; x = -5.
What is the equation of the line as described?It follows from the task content that the equation whose slope is undefined and passed through the point; (-5, 4) is to be determined as required.
On this note, it follows from straight line graphs that; a line whose slope is undefined is said to be a vertical line.
On this note, the equation of such line is; x = h, where h is the x-coordinate of a point through which the line passes.
Ultimately, the required equation for the line is; x = -5.
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how to simplify this equation
Answer:
25x^2√(2x)
Step-by-step explanation:
2√(50x^5) + 5x√(18x^3) =
2√((2*25) * x^(4+1)) + 5x√((2*9) * x^(2+1)) =
2√(2 * 5^2 * x^4 * x^1) + 5x√(2 * 3^2 * x^2 * x^1) =
5*2√(2 * 1 * x^(2^2) * x) + 3*5x√(2 * 1 * x^2 * x) =
10√(2 * x^(2^2) * x) + 15*x*x√(2 * 1 * x) =
10√(2x * (x^2)^2) + 15*x^2√(2x) =
10x^2√(2x) + 15x^2√(2x) = 25x^2√(2x)
5 divided by 4.75 i need help
Answer:
1.05
Step-by-step explanation:
5/4.75
1 1/20
If A=45° B = 30°, prove that
Sin (A-B) = sinAcos B - Cos Asin B
To prove that Sin (A-B) = sinAcos B - Cos Asin B, we can use the angle subtraction formula for sine:
Sin (A-B) = Sin A Cos B - Cos A Sin B
This formula is derived from the identity:
Sin (A-B) = Sin A Cos B - Cos A Sin B
which can be derived by using the double angle identities for sine and cosine:
Sin (2A) = 2 Sin A Cos A
Cos (2A) = Cos^2 A - Sin^2 A = 2 Cos^2 A - 1 = 1 - 2 Sin^2 A
Substituting these identities into the identity above, we get:
Sin (A-B) = Sin A Cos B - Cos A Sin B
What is an angle subtraction?Angle subtraction formulas is otherwise known as angle subtraction identities. This angle subtraction formulas permit us to find the exact values of less common trigonometric angles by expressing the less common angle as the difference of two common angles. For example, 15 degrees = 45 degrees - 30 degrees.
Therefore, Sin (A-B) = sinAcos B - Cos Asin B.
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flight of a rocket the altitude in feet attained by a model rocket t seconds into flight is given by the function h(t). find the maximum altitude (in ft) attained by the rocket. (round your answer to the nearest foot.) h(t)
the maximum altitude attained by the rocket is 300 ft (rounded to the nearest foot) with time.
To find the maximum altitude attained by the rocket, we need to find the vertex of the function h(t). We can do this by taking the derivative of the function and setting it equal to 0.
h'(t) = -32t + 300
Setting h'(t) = 0, we get
-32t + 300 = 0
32t = 300
t = 300/32
hence the time t ≈ 9.375
Now, we can substitute the value of t in the original equation h(t) to get the maximum altitude attained by the rocket.
h(9.375) = -16(9.375)2 + 300(9.375)
h(9.375) = 300 ft
Therefore, the maximum altitude attained by the rocket is 300 ft (rounded to the nearest foot).
The complete question is :
flight of a rocket the altitude in feet attained by a model rocket t time seconds into flight is given by the function h(t). find the maximum altitude (in ft) attained by the rocket. (round your answer to the nearest foot.) h(t)= -16t2 + 300t
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100pts. Need Answer ASAP
Use the Substitution method, jan is solving the system of equations.
A. 3(−3x + 2) − 2x= −24
B. 3(−3x - 2) − 2x= −24
C. 3x − 2(−3x + 2)= −24
D. 3x − 2(−3x − 2)= −24
62/87,21
y = x + 5
3x + y = 25
Substitute x + 5 for y in the second equation.
Substitute the solution for x into either equation to find y.
The solution is (5, 10).
A coach is buying snacks for 22 players at a soccer match. She pays a total of $77 to
buy each player a bottle of water and an energy bar. The price of one energy bar is $2.
Let w equal the price of a bottle of water. Write an equation that
represents the situation.
Answer: 22( w + 2 ) =77 and the amount of the water bottle would be 1.50
Step-by-step explanation: i dont know what to write??
please help me out with my math
Answer:
4
Step-by-step explanation:
√64 = 8
√4 = 2
8/2 = 4
Answer:4
Step-by-step explanation:
[tex]\sqrt{64[/tex] = 8
[tex]\sqrt{4[/tex] = 2
8÷2=4
A sightseeing tour bus can carry 72 people. If 420 people want to go sightseeing on the bus, what is the minimum number of trips the bus will have to make for everyone to go sightseeing?
4
7
6
5
The solution is Option D.
The minimum number of trips of buses to carry 420 people is 5 trips
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given as
The number of people the tour bus can carry = 72 people
The total number of people who want to go sightseeing = 420 people
So , the equation will be
The number of trips of bus to carry 420 people = total number of people who want to go sightseeing / number of people the tour bus can carry
Substituting the values in the equation , we get
The number of trips of bus to carry 420 people = 420/72
The number of trips of bus to carry 420 people = 5.8
The number of trips of bus to carry 420 people = 5 buses
Therefore , the minimum number of buses is 5 buses
Hence , The minimum number of trips of buses to carry 420 people is 5 trips
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Analise's resting heart rate is 75 beats per minute. When she sleeps, it slows to 60 beats per minute. What percent decrease is this?
Answer:
20% decrease
Step-by-step explanation:
[tex]\frac{75-60}{75}[/tex]
[tex]\frac{15}{75}[/tex] = .2 to make a percent, multiply by 100 = 20%
Write the equation in standard form for the circle passing through (–
8,2) centered at the origin.
The standard form for a circle is (x - h)2 + (y - k)2 = r2, where (h, k) is the center and r is the radius. Since the radius is not given, we need to plug in the information given. Since the center is at the origin, this is the point (0, 0). Since another point on the circle is (6, 8), that is the (x, y) value. So let's plug it into the equation:
(8 - 0)2 + (8 - 0)2 = r2 --> 82 + 82 = r2 --> 100 = r2 --> 10 = r.
Since r = 10 and the center is (0, 0), the standard form equation of this circle is (x - 0)2 + (y - 0)2 = 102 or just x2 + y2 = 100.
What is radius?In classical geometry, a radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length. The name comes from the latin radius, meaning ray but also the spoke of a chariot wheel.A radius is a straight line from the center of a circle to the circumference of a circle. The distance from the center point to any endpoint on the circle.To learn more about radius refer to:
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Find the values of x and y
Answer:
x = 20
y = 70
Step-by-step explanation:
It's rather difficult to explain since nothing is labeled but those are the answers
Is △XYZ equilateral, isosceles, or neither? Explain your reasoning. (Make sure to include how/why you know which of these categories the triangle falls into!)
Answer:
equilateral
Step-by-step explanation:
You want to know if the given triangle with angles marked (2x)°, (2x)°, and (3x-30)° is equilateral, isosceles, or neither.
AnglesOn the face of it, the triangle is at least isosceles, as two angles are marked identically as (2x)°.
When we apply the angle sum theorem, we find ...
(2x)° +(2x)° +(3x -30)° = 180°
7x -30 = 180
7x = 210
x = 30
2x = 2(30) = 60
3x -30 = 3(30) -30 = 60
All of the angles have the same measure, 60°, so the triangle is equilateral.
Answer:
3 equal angles = equilateral triangle
Step-by-step explanation:
the sum of the interior angles in a triangle is 180°
2x + 2x + 3x - 30 = 180
7x = 210
x = 210 : 7
x = 30
find angle Y & Z2 x 30 = 60°
find angle x3 x 30 - 30 = 60
3 equal angles = equilateral triangle
identify the measure of angle X:
Since the line is linear, the sum of the angles should be 180 degrees
x + 28 + 73 = 180
x = 180 - 28 - 73
x = 79 degrees
Hope this helped :)
Marta walked at 2.9 miles per hour for 0.52 hours. How far did she walk?
Answer:
She walked 1.508 miles
Step-by-step explanation:
In 1 hour, Marta can walk 2.9 miles
In 0.52 hours, she can walk 2.9 x 0.52 = 1.508 miles
2(x + 3) = 6(2x - 4) Solve linear equations
PLEASE HELP!!!!!!!!
Given 2 and one-eighth times negative 7 times five tenths, determine the product.
negative fourteen and five eightieths
negative 7 and seven sixteenths
fourteen and five fortieths
7 and one eighth
Answer:
Negative seven and seven sixteenths
Step-by-step explanation:
2⅛ x (-7) x 5/10
= 17/8 x (-7) x 1/2
= - 119/16
= - 7 7/16
Given the function f(x) = 3(x – 5) + 8, which of the following represents f–1(x)?
Step-by-step explanation:
f(x) = 3(x - 5) + 8
f-1(x) = -1(3(x - 5) + 8)
= -3(x - 5) - 8
= -3x + 15 -8
= -3x + 7
A new streaming service sent out a survey to 350 households to see who would be interested in its service. The company found that it could charge $55 per month, with a margin of error of ±1.3. If 1,000 people signed up for the service, what is the least amount of monthly revenue the company should expect?
$52,815
$53,700
$54,915
$56,300
Answer:
B) $53700-------------------------------------
The charge of $55 with error margin of ± 1.3 results in the least value of $(55 - 1.3) = $53.7 and greatest value of $(55 + 1.3) = $56.3.
If 1000 people signed up for the service, then the least total amount is:
$53.7*1000 = $53700Correct choice is B.
Please help! Multiple GEO post
The exterior angle y of the triangle is 60 degrees.
How to find the angle of a triangle?The sum of angles in a triangle is 180 degrees. The external angle y of the triangle can be found using exterior angle theorem.
Therefore, the exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
Hence, using the exterior angle theorem,
y = 35 + 25
y = 60 degrees.
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I need help with this problem if you can help me !!
Answer:
C - 52.50
Step-by-step explanation:
49 Euros To dollars
Answer:
C) 52.50
Step-by-step explanation:
[tex]\frac{15}{14}[/tex] = [tex]\frac{x}{49}[/tex] Cross multiply and solve for x
14x = 15(49)
14x = 735 Divide both sides by 14
[tex]\frac{14x}{14}[/tex] = [tex]\frac{735}{14}[/tex]
x = 52.50
A culture of bacteria has an initial population of 37000 bacteria and doubles
every 2 hours. Using the formula Pt = Po 2, where Pt is the population
after t hours, Po is the initial population, t is the time in hours and d is the
doubling time, what is the population of bacteria in the culture after 7 hours,
to the nearest whole number?
After 7 hours, the population of bacteria is obtained as 418544.
What are the rules of exponents?Some of the rules of exponents are as follows,
The product of two exponents having the same power is equal to the power of their base multiplied.
The product of two exponents having the same base is equal to the sum of the powers of different exponents to the same base.
The initial population of bacteria is given as 37000.
And, the doubling time is 2 hours.
Then, the formula for the population of bacteria at t hour can be given as,
P(t) = P₀ × [tex]2^{t/2}[/tex] where P₀ is the initial population.
Substitute t = 7 and P₀ = 37000 to get,
P(7) = 37000 × [tex]2^{7/2}[/tex]
⇒ P(7) = 418544
Hence, the population of bacteria after 7 hours is 418544.
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What is the average rate of change for the function over the interval [-6,-4]
Answer:20
Step-by-step explanation:
f(x) = 8 sin [2(x+3)] +9?
Answer:
Step-by-step explanation:
f(x) = 8 sin [2(x+3)] + 9
x = 8 sin [2(y+3)] + 9
isolate y [tex](f^{-1}(x))[/tex]:
x/8 - 9 = sin[2(y+3)]
[tex]sin^{-1}(\frac{x}{8} - 9) = 2(y+3)[/tex]
= 2y + 6
[tex]sin^{-1}(\frac{x}{8} - 9) = 2y + 6\\sin^{-1}(\frac{x}{8} - 9) - 6 = 2y\\\frac{sin^{-1}(\frac{x}{8} - 9) - 6}{2} = y[/tex]
Oscar drove 3 hours in 105 miles. How many miles did he drive per minute?
Answer:
35
Step-by-step explanation:
1.divide the miles that Oscar drove to get 105÷3=35
Given △
△
M
T
S
and △
△
S
Q
P
, find SP.
Answer:
22
Step-by-step explanation:
Corresponding sides of similar triangles are proportional.
[tex]\frac{3x+2}{5x-4}=\frac{15}{20}=\frac{3}{4} \\ \\ 12x+8=15x-12 \\ \\ 3x=20 \\ \\ \therefore SP=20+2=22[/tex]
3y= -6x+1. Find the value of y.
[tex]3y= -6x+1[/tex] for y
Divide both sides by 3:
[tex]\dfrac{3y}{3} =\dfrac{-6x+1}{3}[/tex]
[tex]\fbox{y = $-2x+\dfrac{1}{3} $}[/tex]
Please help me. I don't want to get the answer wrong
Answer:
photo?
Step-by-step explanation:
please solve for x
5x+10y=25
[tex]5x+10y=25[/tex]
Add -10y to both sides:
[tex]5x+10y+-10y=25+-10y[/tex]
[tex]5x=-10y+25[/tex]
Divide both sides by 5:
[tex]\dfrac{5x}{5} =\dfrac{-10y+25}{5}[/tex]
[tex]\fbox{y = -2y + 5}[/tex]
Which pair of equations corresponds to the two sets of
data in the table?
X
-2
-1
0
1
2
У1
-2
0
2
4
6
Y₂
4
4
4
4
4
Answer:
Step-by-step explanation:
A company has two manufacturing plants with daily production levels of 8x + 15 items and 3x-7 items, respectively. The first plant produces how many more items daily than the second plant?
The first plant produces more items daily than the second plant
(Simplify your answer)
CETTE
What’s the answer
To find the difference in the number of items produced by the two plants, we can subtract the production level of the second plant from that of the first plant. This gives us:
[tex]8x + 15 - (3x - 7) = 5x + 22[/tex]Therefore, the first plant produces [tex]5x + 22[/tex] more items daily than the second plant.
