What is the slope of a line parallel to the line whose equation is x+2y=2

Answer:

2) The negative reciprocal of 4 is -1/4.

Using the point-slope form of a line (y - y1 = m(x - x1)), where (x1, y1) is the given point (-16, 2) and m is the slope:

y - 2 = -1/4(x - (-16))

y - 2 = -1/4(x + 16)

y - 2 = -1/4x - 4

y = -1/4x - 2

Therefore, the equation of the line perpendicular to y = 4x - 10 that passes through the point (-16, 2) is y = -1/4x - 2. So, the correct answer is A.

3) The given equation is y - 3x = -8. To find the equation of a line perpendicular to this, we need to determine the negative reciprocal of the slope of the given line, which is 3. The negative reciprocal of 3 is -1/3.

Using the point-slope form with the point (3, 2) and the slope -1/3:

y - 2 = -1/3(x - 3)

y - 2 = -1/3x + 1

y = -1/3x + 3

Therefore, the equation of the line perpendicular to y - 3x = -8 that passes through the point (3, 2) is y = -1/3x + 3. So, the correct answer is D.

4) The given line passes through the point (-5, 2) and the origin (0, 0). The slope of a line passing through two points can be found using the formula (y2 - y1) / (x2 - x1).

slope = (0 - 2) / (0 - (-5))

slope = -2 / 5

slope = -2/5

The negative reciprocal of -2/5 is 5/2. Therefore, the slope of a line perpendicular to the line passing through (-5, 2) and the origin is 5/2. So, the correct answer is D.

The following exponential rule is called the Product Rule.

What is exponential rule ?

Exponential rules are mathematical rules that govern the manipulation of exponential expressions, which involve terms that have a base raised to a power. Exponential rules are important in many areas of mathematics and science, particularly in algebra, calculus, and statistics.

According to the question:
The following exponential rule is called the Product Rule. It states that when multiplying two powers with the same base, you can add their exponents. The rule is:

\(a^m * a^n = a^(m+n)\)

For example, \(2^3 * 2^4 = 2^(3+4) = 2^7 = 128\). This rule is fundamental in simplifying expressions and solving equations involving exponential functions.

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Answer:

the answer is -5

Step-by-step explanation:

hope this helps! and if it doesnt im terribly sorry

Answer:

x + y = 6

Step-by-step explanation:

slope is -1

(y - 6) = -1(x - 0)

y - 6 = -x

x + y = 6

Answer:

\(\huge\boxed{x=65}\)

Step-by-step explanation:

Look at the picture.

\(m\angle VUP=180^o-2\cdot60^o=180^o-120^o=\boxed{60^o}\\\\m\angle UPQ=360^o-2\cdot60^o=360^o-120^o=\boxed{240^o}\\\\m\angle QRM=180^o-2\cdot60^o=180^o-120^o=60^o\\\\m\angle RMQ=180^o-135^o=45^o\\\\in\ \triangle QRM:\ m\angle MQR=180^o-(60^o+45^o)=180^o-105^o=75^o\\\\m\angle PQW=360^o-(2\cdot60^o+75^o+80^o)=360^o-(120^o+155^o)\\\\=360^o-275^o=\boxed{85^o}\\\\m\angle UVW=\boxed{90^o}\)

VWQPU is the pentagon. The sum of interior angles in a pentagon is equal 540°. Therefore:

\(x^o=540^o-(90^o+60^o+240^o+85^o)=540^o-475^o=65^o\)

The surface area of the soccer ball to the nearest square centimeter is 744.68 square centimeters .

Given :

The volume of a soccer ball is 1,930. 75 cubic centimeters .

we know that ,

shape of soccer ball is same as the sphere

Volume of sphere = 4 / 3 * pi * r^3

1930.75 = 4 / 3 * 3.14 * r^3

1930.75 = 4.18 * r^3

r^3 = 1930.75 / 4.18

= 462

r = 7.7 cm

Surface area  of soccer ball = 4 * pi * r^2

= 4 * 3.14 * 7.7^2

= 12.56 * 59.29

= 744.68 square centimeters

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Answer:

3 miles

Step-by-step explanation:

8 hours ----> 42 miles

1 hour

= 24 / 8

= 3 miles

So, His miles per hour is 3 miles.

Answer:Answer:

3 miles

Step-by-step explanation:

8 hours ----> 42 miles

1 hour

= 24 / 8

= 3 miles

Hope this helps

The value of s for the given value is 24.05.

Given is an equation v² = u²+2gs, we need to find the value of s if v = 25, u = 12 and g = 10,

So,

25² = 12² + 2(10)s

625 = 144 + 20s

20s = 481

s = 24.05

Hence the value of s for the given value is 24.05.

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The maximum number of biscuits that Jamie can make with his ingredients is; 80 biscuits

We are given the ingredients to make 20 biscuits as;

150 g of butter

75 g of caster sugar

100g of plain flour

200 g of chocolate chips

Thus, quantity to make 1 biscuit is;

Butter = 150/20 = 7.5 g

Caster sugar = 75/20 = 3.75 g

Plain flour = 180/20 = 9g

chocolate chips = 50/20 = 2.5 g

No, Jamie has the following;

800 g of butter

700 g of caster sugar

1000g of plain flour

200 g of chocolate chips

Thus, number portion of each material is;

Butter; 800/7.5 ≈ 106

Caster sugar; 700/3.75 = 186

Plain flour; 1000/9 = 111

Chocolate chips; 200/2.5 = 80

The least number here would give use the maximum number of biscuits that Jamie can make with his ingredients.

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Answer:

d

Step-by-step explanation:

The answer is option D.

The area is the quantity of space in the perimeter of a 2nd shape. its miles are measured in rectangular devices, including cm², m², and so forth. To identify the vicinity of a rectangular formula or different quadrilateral, you have to multiply the length by way of the width. as an example: A rectangle with sides of three cm and four cm would have a place of 12 cm².

Given a rectangle with duration l and width w, the formula for the vicinity is A = lw (rectangle). this is, the region of the rectangle is the length improved with the aid of the width. As a unique case, as l = w in the case of a square, the vicinity of a rectangular with facet duration s is given via the formula: A = s2 (rectangular).

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The term which is used for describing the number of voters who casted their votes using the ballots is called as voter turnout.

The process of selecting a candidate for a suitable post who takes care of the policies which will be framed for the people is called as voting. In this process, the members/ citizens casts their vote in the favor of their suitable candidate. Many times voters are not valid and their votes are considered as null and void.

The voter turnout is either the percentage of registered voters, eligible voters, or all voting-age people ( this varies from place to place depending upon the minimum voting age required). The voter turnout is also referred to the number of people who go to it or take part in it. High voter turnout is generally considered a sign of a healthy democracy.

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Answer:

15

Step-by-step explanation:

The surface of one of the triangles making the base of the prism is \(\frac 12 \cdot 6 \cdot 8 = 24\).

At this point we can express the volume in terms of base surface and height as in \(360 = 24\cdot h\) from which we can get the height by dividing by 24 both sides:

\(h= \frac{360}{24} = 15\)

Answer:

Answer:

360x^2 * y^2 *z^3

Step-by-step explanation:

1. You have the following expression given in the problem above:

12x squaroot 900x^2y^4z^6

2. To simplify it, multiply all the exponents inside the square root by , because

12x(900x^2 * x^4 * z^6)^1/2

3. Then, you have:

900.5=30

x(2)(1/2)=x

x(4)(1/2)=y^2

z(6)(1/2)=z^3

4. Therefore, the simplified form is:

360x^2 * y^2 *z^3

Step-by-step explanation:

99999 ÷ 9999

using the calculator the answer will be 10.0009

Answer:

No

Step-by-step explanation:

It would work for the bottom equation, but plugging in to the top equation would equal -4>3, which is false.

Answer:

no

when the point is plugged into the first inequality, it does not work therefore it is not a solution

Answer:

124°

Step-by-step explanation:

Angle 1 and Angle 5 are the supplementary angle relationships.

acc to our question-

Therefore, ∠1 and ∠5 are supplementary angles.

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Answer:

8

Step-by-step explanation:

The basic form of the equation is y=mx+b. The b stands for the y-intercept. In this equation, 8 is b due to its position in the equation, and -8/7 is m. Since we know that 8 is b and that b is the y-intercept, we know that 8 is the y-intercept.

Hope this helps!

Answer:

19.6ft (nearest tenth)

Step-by-step explanation:

Please refer to the attached photo for better understanding.

Given Length of Wire = BC = 22ft

Given Distance from Grounded Wire to Base of Pole = AC = 10ft

Length of Pole = AB

We can use Pythagoras' Theorem to find Length of Pole, AB.

By Pythagoras' Theorem,

\(c^{2} =a^{2} +b^{2} \\BC^{2} =AB^{2} + AC^{2} \\22^{2} =AB^{2} +10^{2} \\484=AB^{2} +100\\AB^{2} =484-100\\AB=\sqrt{384} ft\\=19.6ft (nearest tenth)\)

Answer:

\( \large{ \tt{❃ \: S \: O \: L \: U \: T \: I \: O \: N \:❃ }}\)

\( \large{ \tt{❊ \: S \: T \: E \: P \: S \: ❊}}\)

\( \huge{ \tt{ \: \frac{4 \sqrt{6} }{5 \sqrt{3} } = \frac{4 \: \cancel{ \sqrt{6}} \: ^{\sqrt{2}} }{5 \: \cancel{\sqrt{3} }} }} = \: \boxed{\frac{4 \sqrt{2} }{5} }\)

\( \large{ \boxed{ \boxed{ \tt{⤻ \: OUR \: FINAL \: ANSWER : \boxed{ \tt{ \frac{4 \sqrt{2} }{5}}}}}}} \)

- Hope this helps! Let me know if you have any questions regarding my answer and don't hesitate to reach out to me if you need any other help! :)

A) If the triangle is a right triangle

The first step of an indirect proof of the phrase:

If the triangle is a right triangle. The correct statement is A.

A triangle is said to be right-angled if one of its inner angles is 90 degrees, or if any one of its angles is a right angle.

Given:

The Conditional statement:

If one of the angles of a triangle equals 90, then the triangle is classified as a right triangle.

The first step of an indirect proof of the phrase:

If the triangle is a right triangle.

That means, the triangle have an angle equals to 90°.

Therefore, the correct statement : If the triangle is a right triangle.

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Answer:

360cm

Step-by-step explanation:

Volume=mass

volume

Answer:

The variable is "y"

The like terms are "2y" and "6y"

The exponent is the 3 in "y^3"

The constant is "-4"

Step-by-step explanation:

Answer:

try your best

Step-by-step explanation:

don't give up

When x = 4, y = 320/27.

If y varies directly as x, it means that y = kx, where k is a constant. To find k, we can use the given information:

When x = 3, y = 12

12 = k * 3

k = 4

Now that we know k, we can find y when x = 20:

y = k * x

y = 4 * 20

y = 80

Therefore, when x = 20, y = 80.

25. If y varies directly as the square of x, it means that y = k * x^2, where k is a constant. To find k, we can use the given information:

When x = 2, y = 16

16 = k * 2^2

k = 4

Now that we know k, we can find y when x = 8:

y = k * x^2

y = 4 * 8^2

y = 4 * 64

y = 256

Therefore, when x = 8, y = 256.

26. If y varies directly as the cube of x, it means that y = k * x^3, where k is a constant. To find k, we can use the given information:

When x = 3, y = 5

5 = k * 3^3

k = 5/27

Now that we know k, we can find y when x = 4:

y = k * x^3

y = 5/27 * 4^3

y = 5/27 * 64

y = 320/27

Therefore, when x = 4, y = 320/27.

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Answer:

To solve the given system of equations using the substitution method, we need to solve one equation for one variable and then substitute that expression into the other equation for that same variable. Let's solve the second equation for y.

-x + y = 4

y = x + 4

Now we can substitute this expression for y into the first equation and solve for x.

-2x + 2(x + 4) = 7

-2x + 2x + 8 = 7

8 = 7

The equation 8 = 7 is not true, which means the system of equations has no solution. We can see this visually by graphing the two lines. They are parallel and will never intersect, which means there is no point that satisfies both equations.

Therefore, the solution to the system of equations is "No solution."

Note: Please be sure to double-check your work to avoid mistakes.

Step-by-step explanation:

Hope this helps you!! Have a wonderful day/night!!

The simplified expression is:

1 + csc(0)

0

Which is undefined.

Starting with the given expression:

1 - csc(0)cos(0)

1 + csc(0)(1 - csc(0))

We can recall the following trigonometric identities:

csc(0) = 1/sin(0) = undefined

cos(0) = 1

Since csc(0) is undefined, we cannot directly substitute it into the expression. However, we can use the fact that sin(0) = 0 to simplify the expression.

1 - (undefined)(1)

1 + (undefined)(1 - undefined)

Since the denominator contains an undefined term, we need to find a way to remove it. To do this, we can multiply both the numerator and denominator by the conjugate of the denominator, which is (1 + csc(0)).

(1 - undefined)(1 + csc(0))(1)

(1 + undefined)(1 - csc(0))(1 + csc(0))

Simplifying the numerator gives us:

(1 - undefined)(1 + csc(0)) = 1 + csc(0)

And simplifying the denominator gives us:

(1 + undefined)(1 - csc(0))(1 + csc(0)) = (1 - csc^2(0))(1 + csc(0)) = -sin^2(0)(1 + csc(0))

Substituting sin(0) = 0, we get:

-0(1 + csc(0)) = 0

Therefore, the simplified expression is:

1 + csc(0)

0

Which is undefined.

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Answer:

You can give me brainliest if you want

Step-by-step explanation:

Answer:

\( {10}^{12} = 1000000000000\)

\(3 \times {10}^{12} = 3000000000000\)

\( {10}^{11} = 100000000000\)

\(4 \times {10}^{11} = 400000000000\)

Step-by-step explanation:

The value of 3 × 10¹² is greater than 4 × 10¹¹

The standard scientific expression is given as A * 10^n

For the notation 3 × 10¹², we can see that the power is 12 while for the notation  4 × 10¹¹, the power is 11. Since 12 is greater than 11, hence the value of 3 × 10¹² is greater than 4 × 10¹¹

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