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Line ℓ is perpendicular to line m. Find the value of x and w.

9514 1404 393

Answer:

  (-5,1)

Step-by-step explanation:

To eliminate x, multiply the first equation by 3 and add 2 times the second equation.

  3(-2x +7y) +2(3x -4y) = 3(17) +2(-19)

  -6x +21y +6x -8y = 51 -38

  13y = 13

  y = 1 . . . . . matches the third answer choice

  (x, y) = (-5, 1)

Answer:

8/3

Step-by-step explanation:

Slope:  

8 /3

y-intercept:  

( 0 , − 1 /3 )

Step-by-step explanation:

Answer:

-6 because -6 times -6 is a positive 36 negative times negative is positive

Step-by-step explanation:

Answer:

x = -6

Step-by-step explanation:

Okay so basically. The "-6" and the fact that the answer is a positive number shows that X must be a negative number. So let us set "-6" as a positive number. Divide 36 by 6 and the answer is = 6. Add a negative sign and X is -6.

Answer:

0.02044989775

Step-by-step explanation:

Answer:

11307.19 rounded and exact is 11307.1875

Step-by-step explanation:

Answer:

Use a calculator but your answer is 11307.1875

Step-by-step explanation:

0.242296875 is what you get when the brackets are solved now multiply and divide.

848.039062 is what you get when multiplied and 11307.1875 is what you get when you divide.

Answer:

a=8

b=5

x=13

Step-by-step explanation:

Use Pythagoras's Theorem to find A

h²=y²+z²

10²=a²+6²

100=a²+36

∴a²=64

∴a=8

Use Pythagoras's Theorem to find A

h²=y²+z²

9²=b²+6²

81=b²+36

∴b²=45

∴b=3√5

x=a+b

=8+3√5

Answer:

a = 8

b = ∛5

x = 8 + ∛5

Step-by-step explanation:

I think here we have to do pythagorean theorem a² + b² = c² or c =√a² + b²

Now just plug in the numbers for 9, 6 and b

6² + b² = 9²

36 + b² = 81

b² = 45

b = 6.70820....

b = ∛5

∛5 = 6.70820..

Now plug in 6, 10, a

a² + 6² = 10²

a² + 36 = 100 (subtract 36 on both sides)

a² = 64

√64 = 8

a = 8

NOW X

8 + √45 = 14.708203

8 + ∛5 = 14.708203

x = 8 + ∛5

Hope this helps ya!!!

Answer:

29

Step-by-step explanation:

27 + 28 + 29 = 84

Answer:

D

Step-by-step explanation:

Let the first number be n.

Then the consecutive number will be (n+1).

And the second consecutive number will be (n+2).

We know that it totals 84. So, we can write the following equation:

[tex]n+(n+1)+(n+2)=84[/tex]

Let’s now solve for n. Combine like terms:

[tex]3n+3=84[/tex]

Subtract 3 from both sides:

[tex]3n=81[/tex]

Divide both sides by 3:

[tex]n=27[/tex]

So, our n or first term is 27.

This means that our sequence is: 27, 28, and 29.

So, our largest number is 29.

Hence, our answer is D.

Answer:

m=−2b

b=−m/2

work: i just know

Answer:

6 bags of flavored Chips .

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

I'm a man so..............

I don't want to get reported.. I-

Answer:

Option C. is correct

Step-by-step explanation:

Slope of a Line

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Please note the slope measures the ratio of the change in y to the change in x.

The points of the graph are A=(-3,-2) B=(7,4). Calculating the slope:

[tex]\displaystyle m=\frac{4-(-2)}{7-(-3)}[/tex]

[tex]\displaystyle m=\frac{6}{10}[/tex]

Simplifying by 2:

[tex]\displaystyle m=\frac{3}{5}[/tex]

Option C. is correct

Answer:

V = 160 cm³ when P = 40 kg/cm²

Step-by-step explanation:

V = k / P

Where,

V = volume

P = pressure

k = constant of proportionality

The volume of a gas is 200 cm3 under pressure of 32 kg/cm2

V = k / P

200 = k / 32

Cross product

200 × 32 = k

6,400 = k

k = 6,400

What will be its volume under pressure of 40 kg/cm2?

V = k / P

= 6,400 / 40

= 160

V = 160 cm³

Answer:

[tex](x+4)^2+(y-8)^2=85[/tex]

Step-by-step explanation:

The standard equation for a circle is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h, k) is the center and r is the radius.

We know that the center is (-4, 8). So, substitute -4 for h and 8 for k:

[tex](x-(-4))^2+(y-8)^2=r^2\\[/tex]

Simplify:

[tex](x+4)^2+(y-8)^2=r^2[/tex]

Now, we will need to find r.

We know that it passes through the point (-2, -1). So, we can substitute -2 for x and -1 for y and solve for r. So:

[tex](-2+4)^2+(-1-8)^2=r^2[/tex]

Evaluate:

[tex](2)^2+(-9)^2=r^2[/tex]

Square:

[tex]4+81=r^2[/tex]

Add:

[tex]r^2=85[/tex]

So, r squared is 85.

We don’t actually have to solve for r itself, since we will have to square it anyways.

So, we have:

[tex](x+4)^2+(y-8)^2=r^2[/tex]

Substituting 85 for r squared, we get:

[tex](x+4)^2+(y-8)^2=85[/tex]

And we have our equation.

Answer:

60°

Step-by-step explanation:

Angle 1 is a vertical angle to 60° by the definition of a vertical angle.

Answer:

∠1 = 60°

Step-by-step explanation:

Answer:

Step-by-step explanation:

If a point (x, y) lies on a straight line, coordinates of the point will satisfy the equation.

Slope of a line passing through two points C(4, 5) and D(8, 10),

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m = [tex]\frac{10-5}{8-4}[/tex]

m = [tex]\frac{5}{4}[/tex]

Equation of the line passing through C(4, 5) and slope m = [tex]\frac{5}{4}[/tex]

y - y' = m(x - x')

y - 5 = [tex]\frac{5}{4}(x-4)[/tex]

y = [tex]\frac{5}{4}x-5+5[/tex]

y = [tex]\frac{5}{4}x[/tex]

If point B(4, 0) lies on the line CD,

0 = [tex]\frac{5}{4}(4)[/tex]

0 = 5

Which is not true.

Therefore, point B doesn't lie on line CD.

Answer:

Hope it help, please give me BRAINLEST!

Step-by-step explanation:

2y + 5= |3y| + 3 = 3

x - 3= 2

[tex]\sqrt{x} + 2 = 2[/tex]

5x - 17= -3x = 2

3^(x )= 4

3 cos^(2)(x) + 2 cos(x)- 1 = 0

3x-11= [tex]\sqrt{x}[/tex] +3 = 8

2 = |3x|

x - 5= -3

Answer:

x = 3/5

Step-by-step explanation:

2x + 8x = 6

10x = 6

x = 3/5

I'll assume you need to find the equation of the line that passes through those points.

Answer:

[tex]\displaystyle y-2=\frac{1}{4}(x+4)[/tex]

Step-by-step explanation:

Equation of a Line:

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The given points are (-4,2) and (12,6), thus:

[tex]\displaystyle y-2=\frac{6-2}{12+4}(x+4)[/tex]

Operating:

[tex]\displaystyle y-2=\frac{4}{16}(x+4)[/tex]

Simplifying, the equation in point-slope form is:

[tex]\mathbf{\displaystyle y-2=\frac{1}{4}(x+4)}[/tex]

the answer is rhombus...

Answer:

rhombus

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

(5x + 15)° + (6x + 8)° + (4x + 7)° = 180°

15x + 30 = 180 ⇒ x = 10

9514 1404 393

Answer:

Step-by-step explanation:

The y-intercepts are 0 and -7, so the vertical intercepts are not the same.

The one that is 0 represents a proportional relation; the one that is -7 represents a non-proportional relation. So, one is proportional and the other is not.

The x-coefficient is 2 in both cases, so the equations have the same slope of 2. Since the slopes are the same and the y-intercepts are different, the lines are parallel to each other.

Each is the equation of a line, so both functions are linear.

Answer:2

Step-by-step explanation: follow pemdas

Answer:

The answer is C.

Step-by-step explanation:

Took the lesson on edge 2021