Find the x and y intercepts of the line. -2y-6x=3

Answer:

7

Step-by-step explanation:

to find a radius of any diameter just find half of the diameter

Answer:

p=1/4 or 0.25

Step-by-step explanation:

2p+3=5-6p Subtract 2p from both sides.

-2p       -2p

3=5-8p        Subtract 5 on both sides.

-5 -5

-2=-8p         Divide by -8 on both sides.

/-8  /-8

1/4=p or (as a decimal) 0.25=p

Hope this helps you out!! Have a great day c:

Answer:A triangle can be defined as a two-dimensional shape that comprises three (3) sides, three (3) vertices and three (3) angles.

This ultimately implies that, any polygon with three (3) lengths of sides is a triangle.

In Geometry, there are three (3) main types of triangle based on the length of their sides and these are;

Equilateral triangle.

Scalene triangle.

Isosceles triangle.

An isosceles triangle has two (2) congruent sides that are equal in length and two (2) equal angles while the third side has a different length.

Step-by-step explanation:

Answer:not A

Step-by-step explanation:

Answer:

stop waiting and do the next question

Step-by-step explanation:

common sense

Answer:

So if x= 1 , y= -20 , z = -5 , we just have to replace those values on the equation

\(\frac{\sqrt{yz}}{(z-x)^{2} + y } =\)  \(\frac{\sqrt{(-20) * (-5)}}{(-5-1)^{2} + (-20) } =\)  \(\frac{\sqrt{100}}{(-6)^{2} -20 }\)  \(= \frac{10}{16} =\frac{5}{8}\)

Answer:

The rate at which the area of the triangle is increasing when the angle between the sides of fixed lengths is π/3 is 0.3 m²/s.

If the lengths a and b for two sides of the triangle, as well as the included angle θ, are known, the area of a triangle can be calculated using the sine formula.

\(\text { Area }=\frac{1}{2} a b \sin \theta\)

Now, according to the question;

The two sides of the triangle are given;

Let a = 4m and b = 5m.

Let θ = π/3. be the angle between the two sides;

Then,

Differentiate the area with respect to time (as rate of change of area)

\(\begin{aligned}\frac{\mathrm{d} A}{\mathrm{~d} t}=\frac{\mathrm{d}}{\mathrm{d} t} \frac{1}{2} a b \sin \theta &=\frac{1}{2} * 4 * 5 * \frac{\mathrm{d}(\sin \theta)}{\mathrm{d} \theta} \cdot \frac{\mathrm{d} \theta}{\mathrm{d} t} \\&=10 *(\cos \theta) * 0.06 \frac{\mathrm{m}^{2}}{\mathrm{~s}}=0.6 \cos (\pi / 3) \frac{\mathrm{m}^{2}}{\mathrm{~s}} \\&=0.6 * 0.5 \frac{\mathrm{m}^{2}}{\mathrm{~s}}=0.3 \frac{\mathrm{m}^{2}}{\mathrm{~s}}\end{aligned}\)

Therefore, the area of the triangle as a function of angle is 0.3 m²/s.

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The complete question is-

Two sides of a triangle are 4m and 5 m in length and the angle between them is increasing at a rate of 0.06 rad/sec. Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed lengths is π/3.

i. Range (A): The space spanned by the columns of matrix A. It represents all possible linear combinations of the columns of A.

ii. Null (A): The set of all vectors x such that Ax = 0. It represents the solutions to the homogeneous equation Ax = 0.

iii. Row (A): The space spanned by the rows of matrix A. It represents all possible linear combinations of the rows of A.

iv. Null (A): The set of all vectors y such that ATy = 0. It represents the solutions to the homogeneous equation ATy = 0.

The equation Ax = b has a solution only when b is in the Range (A). It has a unique solution only when the Null (A) contains only the zero vector.

The equation ATy = d has a solution only when d is in the Row (A). It has a unique solution only when the Null (A) contains only the zero vector.

Assuming the size of A is m × n:

When Ax = b has a unique solution, the space Null (A) must be equal to Rn. This means there are no non-zero vectors that satisfy Ax = 0, ensuring a unique solution.

When ATy = d has a unique solution, the space Null (AT) must be equal to Rm. This means there are no non-zero vectors that satisfy ATy = 0, ensuring a unique solution.

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The polynomial function P(x) with a quadratic function zero of 3-4i and an additional zero is P(x) = (x2 - 6x + 25)(x - additional zero).

A polynomial function, P(x), is a function that can be written in the form P(x) = anxn + an-1xn-1 + ... + a1x + a0, where n is a non-negative integer and an, an-1, ..., a1, a0 are real numbers. A quadratic function is a polynomial function of degree 2, which means it can be written in the form P(x) = ax2 + bx + c.

If a polynomial function has a zero of 3-4i, then it must also have a zero of 3+4i, since complex zeros always come in conjugate pairs. This means that the polynomial function must have factors of (x - (3-4i)) and (x - (3+4i)). Multiplying these two factors together gives us (x - 3 + 4i)(x - 3 - 4i) = x2 - 6x + 25.

If the polynomial function also has an additional zero, then it must have a factor of (x - additional zero). Multiplying this factor with the previous one gives us P(x) = (x2 - 6x + 25)(x - additional zero).

So, the polynomial function P(x) with a quadratic function zero of 3-4i and an additional zero is P(x) = (x2 - 6x + 25)(x - additional zero).

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Answer:

I answered this for you already :)

we know that 76% of the specialty soaps are made with fresh herbs, and we also know that there are a total of 350 specialty soap bars, so how many are made with fresh herbs?  well, just 76% of those 350

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{76\% of 350}}{\left( \cfrac{76}{100} \right)350}\implies 266\)

A linear system with 3 equations and 4 variables by representing it with an augmented matrix and bringing the matrix to reduced row-echelon form can be solved.

A mathematical representation of a system based on the application of a linear operator is known as a "linear system" in systems theory. Ordinarily, compared to nonlinear systems, linear systems display much simpler features and properties. The automatic control theory, signal processing, and telecommunications all heavily rely on linear systems as a mathematical abstraction or idealisation.

Linear systems, for instance, are frequently used to model the propagation medium for wireless communication systems. An operator, H, that converts an input, x(t), into an output, y(t), a kind of black box description, can be used to describe a general deterministic system.

The superposition principle, or alternatively both the additivity and homogeneity properties, must be satisfied by a system to be considered linear, and only then.

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Answer:

L=18, W=8

Step-by-step explanation:

Given :

Area (A)=144 \(m^2\) =LW

Where, L is length and W is width

According to given question ,

\(W=\frac{1}{3} L-2\)

Now,

A=LW

144=L\((\frac{1}{3} L-2)\)

432=\(L^{2} -6L\)

\(L^{2} -6L-432=0\\L^{2} -18L+24L-432\\(L+24) (L-18)\\L=-24\\and L=18\)

Length can be in negative so L =18

And

\(LW=144\\18W=144\\W=\frac{144}{18} \\W=8\)

Therefore, Length of rectangle is 18 and Width is 8

Answer:

y = 45

Step-by-step explanation:

y = 9x

input = 5

y = 9(5)

9(5) = 45

y = 45

Answer:

A -5 B 9

Step-by-step explanation:

Answer:

115

Step-by-step explanation:

Step-by-step explanation:

If the bottle contains 500ml of water and the water fills half of the bottle, then the total capacity of the bottle must be 1000ml (since half of 1000ml is 500ml).

To convert this to liters, we can divide by 1000, since there are 1000 milliliters in one liter.

1000ml / 1000 = 1 liter

Therefore, the bottle holds 1 liter of water.

Answer: 10000

Step-by-step explanation:

((1234568)(198765432)+(98765432)(98765432))^1/4

=(245389441853376+(98765432)(98765432))^1/4

=(245389441853376+9754610558146624)^1/4

=10000000000000000^1/4

=10000

Hope this helps!!! :)

In the word problem, the time (in seconds) the ball was in the air is D)0.50 seconds.

What is word problem?

Word problems are often described verbally as instances where a problem exists and one or more questions are posed, the solutions to which can be found by applying mathematical operations to the numerical information provided in the problem statement. Determining whether two provided statements are equal with respect to a collection of rewritings is known as a word problem in computational mathematics.

Here expression which describes height is,

h(t)= \(-18t^2+3t+2\)

Now h(t)=0 then,

=> \(-18t^2+3t+2=0\)

=> \(18t^2-3t-2=0\)

=> \(18t^2-3t=2\)

=> 3t(6t-1)=2

=> 3t=2 , 6t-1=2

=> t=2/3 , 6t=3

=> t=2/3 , t=1/2

=> t= 0.5 seconds.

Hence  the time (in seconds) the ball was in the air is D)0.50 seconds.

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Answer:

528.6

Step-by-step explanation:

find the circumference of the circle using:

πd: 22/7*74

add the length of the 4 strokes: 37*8

add the two:

Answer:

528.48cm

Step-by-step explanation:

Total length of all the spokes

37cm*8 = 296cm

Length of the circular rim

2πr = Circumference

2(37)π = 74π

74π = 232.48cm

Overall Length

232.48cm + 296cm = 528.48cm

The maximum resultant intensity in terms of the intensity of the initial unpolarized incoming light I₀ is given as -

Polarization is the property of wave oscillations having a definite direction relative to the wave's propagation direction. Transverse waves that can be polarized are EM waves. The polarization direction is defined as the direction parallel to the EM wave's electric field.

The effect of a polariser on polarised light is described by Malus' law, which states that-

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The correct question is -

What is the maximum resultant intensity in terms of the intensity of the initial unpolarized incoming light I₀.

Answer:

\({ \sf{it \: \: is \: \: \frac{1}{2} }}\)

Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.

Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.

First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.

Next, we can find the vertex using the formula:

Vertex = (-b/2a, f(-b/2a))

where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:

Vertex = (-b/2a, f(-b/2a))

= (-6/(2*-1), f(6/(2*-1)))

= (3, -14)

So the vertex of the parabola is at the point (3,-14).

Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.

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Prolific will bike 2 miles to get to the mechanic at the 6th gas station if the pattern continues.

Assuming the rate remains constant, we can use the equation d = rt, where d is the distance, r is the rate, and t is the time. In this case, we want to find the equation to determine the distance of the Nth gas station.

Let's analyze the given information:

The first gas station is 1.5 miles away.

From the second gas station onwards, each gas station is located at a distance 0.1 miles greater than the previous one.

Based on this pattern, we can write the equation for the distance of the Nth gas station as follows:

d = 1.5 + 0.1(N - 1)

B. To find the distance Prolific will bike to get to the 6th gas station, we can substitute N = 6 into the equation from part A:

d = 1.5 + 0.1(6 - 1)

= 1.5 + 0.1(5)

= 1.5 + 0.5

= 2 miles

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The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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Answer: 5/7

Step-by-step explanation: 7/5 is 1.4, which doesn't make sense as an answer here because it's a number greater than one, while we're looking for a number that can be made into a simple fraction, decimal or percent. 5 x 7 = 35, which also doesn't make sense for the same reasons but also because the answer is a division problem and this is multiplication. 7/7 equals one, which doesn't make sense because Melissa hasn't finished 100% of her homework yet. Therefore, the answer is 5/7.

Answer:

5 ÷ 7

Step-by-step explanation:

Step-by-step explanation:

When he retired in 1997 his card was worth ​$4.51 The value has increased by ​$1.02 each year since then.

Express the relationship relating the value of the card y in dollars and the number of years x

y = $1.02 x + $4.51

Is the relationship between x and y​ proportional?

Yes. This is because as  x increases, the value of y also increases.

What was the value of the card in ​2008?

Number of years from 1997 to 2008 = x = 11

y = $1.02 x + $4.51

y = $1.02 (11) + $4.51

y = $ 11.22  + $4.51

y = $ 15.73

Answer:

hello your question is not well written hence i will give you a more general answer assuming a  region that is enclosed by curves y = x and y = x^3

answer : 8/21

Step-by-step explanation:

y =x , y = x^3

next determine the intersection point which is

x = x^3

x( x^2 - 1 ) = 0

therefore ; x = 0 , 1 , -1

attached below is a detailed solution

The truth also called as  property of sentences , assertions and beliefs.

What is Declaration of truth and false in the mathematics?

Declaration of truth and false in mathematics are 1 and 0 respectively.

Questions on fact and falsity saturate our lifestyles as humans. while we may not continually understand what's actual, we've intuitive thoughts of what it might mean for some thing to be actual and work very difficult to get “nearer” to it. We often make claims approximately what's authentic apparently with little to no problem. but we find ourselves in a consistent conflict with falsehoods. Our paintings, our love lives, or even our most loved leisure times are laden with discovering fact over falsehood. Is that concept real.

Hence, The truth is property of sentences , assertions and beliefs.

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