Write the equation of a line that is perpendicular to y=-2x/7+9 and that passes through the point (4,−6)

Answer:

m = -1/3

Step-by-step explanation:

First, write the equation in slope-intercept form:

3y = 10 - x

y = 10/3 - x/3

y = 10/3 - 1/3x

Since our slope is the coefficient of the x term, our slope is -1/3.

Answer:

В. 270°cw rotation about the origin

Step-by-step explanation:

We can rotate a total of 360 degrees in a circular pattern.

If we rotate x degrees in one direction, this rotation is equivalent to rotating (360 - x) in the other direction, because we would arrive in the same place.

So if we rotate 90 degrees in the counter clockwise direction, this is equivalent to rotating (360 - 90) = 270 degrees in the opposite direction, that is, in the clockwise direction.

So the correct option is B. -> 270°cw rotation about the origin.

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this is answer ok? ok :) leleelellelelelelelelel

Answer:

35 degrees

Step-by-step explanation:

In this situation we will be using opposite/hypotenuse, as that is what is shown to us through SohCahToa.

Since we are trying to find the angle we will need to use arcsin.

arcsin(31/54)

the angle is 35 degrees

Answer:

[tex]\approx35\textdegree[/tex]

Step-by-step explanation:

We need to find the given angle, and we are given the sides opposite to it and the hypotenuse. Therefore, we can use sine. Recall that:

[tex]\sin(\theta)=opp/hyp[/tex]

Plug in the numbers. The opposite side is 31 while the hypotenuse is 54.

[tex]\sin(\theta)=31/54\\\theta=\arcsin(31/54)\\\theta\approx35.03\approx35\textdegree[/tex]

(I forgot to mention this last time, but we can only do this because the triangle is a right triangle.)

Answer:

Cos E= 24/25

Step-by-step explanation:

Length of hypotenuse: 7^2+24^2=625. 625 square root=25

Thus, DE is 25.

Sin D= 24/25, so that is false.

Tan D= 24/7, so that is false.

Cos E= 24/25, so that is true

Sin E= 7/25, so that is false.

Answer:

FGH and BCD

it's obvious.

no common lines between them

Answer: Pls brainliest this took forever, but was really fun :)

Step-by-step explanation:

Imagine you are looking at the structure from the front or the side.  What would you see?  If you want a detailed explanation on orthogonal drawings, just ask :)

Answer: Distance is 14.6

Step-by-step explanation:

[tex]d = √((x2-x1)2 + (y2-y1)2)[/tex]

[tex](x2-x1) = (7 - 3) = 4[/tex]

[tex](y2-y1) = (-6 - 8) = -14[/tex]

add it all together

[tex](4)2 + (-14)2 = 16 + 196 = 212[/tex]

Square 212

[tex]\sqrt{212} =14.5602[/tex]

round to the nearest tenth

=14.6

PLEASE MARK BRAINLIEST

Answer: d=14.6

Step-by-step explanation:

√212=14.5602

round=14.6

Answer:

Step-by-step explanation:

-5(3m² + 7n²) + 8n²

Expand brackets.

-15m² + -35n² + 8n²

Combine like terms.

-15m² + -27n²

Answer:

[tex]\boxed{\red{= - 3(5 {m}^{2} + 9 {n}^{2} )}}[/tex]

Step-by-step explanation:

[tex] - 5(3 {m}^{2} + 7 {n}^{2} ) + 8 {n}^{2} \\ - 15 {m}^{2} - 35 {n}^{2} + 8 {n}^{2} \\ = - 15 {m}^{2} - 27 {n}^{2} \\ = - 3(5 {m}^{2} + 9 {n}^{2} )[/tex]

Answer:

m=4

Step-by-step explanation:

6.33 × 10^9 / 1.79 × 10^5=3.54 × 10^m

Find m

6.33 × 10^9 / 1.79 × 10^5 =3.54 × 10^m

Divide the multipliers

6.33/1.79

=3.54

Divide the other multipliers

10^9/10^5

Division in scientific notation with superscript with the SAME base requires subtraction of the superscript using one of the bases

10^9/10^5

= 10^9-5

=10^4

Therefore,

6.33 × 10^9 / 1.79 × 10^5 = 3.54 × 10^4

m = 4

Answer:

4 :)

Step-by-step explanation:

Answer:

21 inch cube

Step-by-step explanation:

(1/3)(1/3)(1/3)=1/27 is the volume of the cube

 the volume of the box : 567*(1/27)=567/27=21

Answer:

m∠1 = 131°

m∠2 = 49°

m∠3 = 112°

Step-by-step explanation:

We find the m∠2 using Vertical Angles Theorem

We find the m∠1 using Definition of a Line

We find the m∠3 also using Vertical Angles Theorem

Answer:

x=8

Step-by-step explanation:

Those angles are supplementary so:

140+5x=180

5x=40

x=8

Answer: Associative Property: (40+(12+18)+27. Evaluate: 97

Answer:

Option B is the correct answer

Step-by-step Explanation:

[tex] \sin 45 \degree = \frac{x}{2} \\ \\ \frac{1}{ \sqrt{2} } = \frac{x}{2} ..( \because \: \sin 45 \degree =\frac{1}{\sqrt 2}) \\ \\ \huge \purple{ \boxed{ x = \frac{ \sqrt{2} }{2}}} \\ \\ [/tex]

Using the trigonometric ratio sine, we find that x = [tex]\sqrt{2}[/tex], making option D to be correct.

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). These trigonometric ratios deduce a relationship between angles of right angle triangle ( other than the right angle ) and the sides of the triangle : base, perpendicular, hypotenuse.

We have used trigonometric ratio sine here.

sin[tex]\theta[/tex] = [tex]\frac{perpendicular}{hypotenuse}[/tex]

In the given question,

from the point of view of angle 45° which is marked in the figure,

base = y

perpendicular  = x

hypotenuse = 2

Using, sin[tex]\theta[/tex] =  [tex]\frac{perpendicular}{hypotenuse}[/tex]

sin 45 = [tex]\frac{2}{x}[/tex]

[tex]\frac{1}{\sqrt{2} } = \frac{x}{2} \\\\x = \frac{2}{\sqrt{2} } = \sqrt{2}[/tex]

Learn more about trigonometric ratios here

https://brainly.com/question/23130410

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Answer:

Step-by-step explanation:

1) We would determine the cube root of 27 and find its square.

Cube root of 27 = 3

3² = 9

Solution = 9

2) 36³ = 46656

√36³ = √46656 = 216

3) we would find the 5th roof of - 243 and find its cube

5th root of - 243 = - 3

- 3³ = - 27

Solution = - 27

4) Looking at the expression, 40⅔, we can see that

a = 2

b = 3

c = 40

Answer: 1) We would determine the cube root of 27 and find its square.Cube root of 27 = 33² = 9Solution = 92) 36³ = 46656√36³ = √46656 = 2163) we would find the 5th roof of - 243 and find its cube5th root of - 243 = - 3- 3³ = - 27Solution = - 274) Looking at the expression, 40⅔, we can see that a = 2b = 3c = 40

Step-by-step explanation:

Answer:

{3/2, 4}

Step-by-step explanation:

Set x - 4 = 0 and solve for x:  x = 4 is a solution.

Seet 2x - 3 = 0 and solve for x:  3/2 is another solution.

Answer:

$24

Step-by-step explanation:

Let the full price of $30 be 100%.

If the discount allowed is 20%, then the percentage of the original price that a customer will pay is:

[tex]P=100\%-20\%\\P=80\%[/tex]

80% of a marked price of $30 is:

[tex]80\%*\$30\\\$24[/tex]

A customer will pay $24.

Answer:

3*(x-2)

Step-by-step explanation:

You should notice that : YW=YB+BW

              = 3x-6

              = 3*(x-2)

If YB is x+3 units long and BW is 2x-9 then the length of YW will be 3(x-2) units long.

A parallelogram is a shape in which opposite sides are parallel to each other.

From the figure we can see that the diagonal YW=YB+BW

YB=x+3

BW=2x-9

YW=x+3+2x-9

YW=3x-6

YW=3(x-2)

Hence the length of YW will be 3(x-2) if YB=x+3, BW=2x-9.

Learn more about parallelogram at https://brainly.com/question/970600

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Answer:

$17046.90

Step-by-step explanation:

Write out the equation for increase:

16470.45(1 + 0.035)

16470.45(1.035)

17046.90

Answer

Part 1

Step-by-step explanation:

T2=3(5)-12=3

T3=-3

T4=-21

T5=-75

Answer:

22%.

Step-by-step explanation:

7/25 = 28%

0.09 = 9%

2/5 = 40%

29% + 9% + 40% = 78%

100% - 78% = 22%

And you have your answer. Hope this helped.

Answer: about 5 hours and 3 min

Step-by-step explanation:

Answer:

about 8 hours and 7 minutes

Step-by-step explanation:

have 60 minutes divided by 20.3 minutes to find the correct ratio to find themph if the speed remained constant. It is about 2.95567 and using this number multiply to 21 to get the miles per hour. the speed is about 62.069 mph. then divide the 504 miles by the mph of the car to find how long it will take to get there. It is about 8 hours 7 minutes and 20 seconds give or take, or 8.12 hours.

Answer:

See below.

Step-by-step explanation:

6 - 23(x+5) = 4x

First, distribute.

6 - 23x - 115 = 4x

Reorder the terms.

6 - 115 - 23x = 4x

Subtract.

-109 -23x = 4x

Add 23x to both sides.

-109 = 27x

Divide by 27.

x = -109/27 (This cannot be simplified)

Answer: mKLJ = 60ᴼ

Step-by-step explanation:

MLO and KLJ are vertical angles, which means their measures are congruent.

Answer:

b

Step-by-step explanation:

Answer:

The sum of exterior angles of a regular polygon are equal true that is equals to 360°

Step-by-step explanation:

i hope this will help you :)

Answer:

true

Step-by-step explanation:

The sum of exterior angles of a regular polygon are 360°

Answer:

a) [tex] y= 2x+1[/tex]

The graph is on the figure with the red line

b) [tex] 2= 3*2 +b[/tex]

[tex] b= 2-6 =-4[/tex]

And the equation would be:

[tex] y = 3x -4[/tex]

The graph is on the figure with the blue line

Step-by-step explanation:

Part a

We know that a=2 and b =1

The general expression is given by:

[tex] y= 2x+1[/tex]

The graph is on the figure with the red line

Part b

For this case we know that a=3 and we know a point given (2,2). Then we can find the value of b like this:

[tex] 2= 3*2 +b[/tex]

[tex] b= 2-6 =-4[/tex]

And the equation would be:

[tex] y = 3x -4[/tex]

The graph is on the figure with the blue line

Answer:

Adults = 61

Students = 92

Children = 122

Step-by-step explanation:

a adults

x students

c children

a + c + x = 275

c / a = 2

5c + 7x + 12a = 1986

Simplify and solve the system.

a + 2a + x = 275

3a +x = 275

x = 275 - 3a. and c= 2a

The revenue equation can be written in terms of just one variable, a.

5(2a) + 7(275-3a) + 12a = 1986

Solve for a

a = 61

use it to find x and c.

c = 2a = 2 x 61 = 122

x = 275-a-c

x = 275 - 61-122

x = 92

Answer:

864

Step-by-step explanation:

512÷8=64

108÷8=13.5

64×13.5=864

Answer:

b) 864 squares

Step-by-step explanation:

A(rectangle) = 512cm x 108cm = 55296 cm²

A(square) = 8cm x 8cm = 64 cm²

Ar/As = 55296cm²/64cm² = 864 squares