Line 1 is Perpendicular to Line 2. If Line 1 has a slope of - 2/3, what is the slope of Line 2?

Answer:

QR= 16

Step-by-step explanation:

HOPE THIS HELPS

Answer:

d

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

AC² + BC² = AB² , that is

x² + x² = (12[tex]\sqrt{2}[/tex] )²

2x² = 288 ( divide both sides by 2 )

x² = 144 ( take the square root of both sides )

x = [tex]\sqrt{144}[/tex] = 12

Answer:

1/5

Step-by-step explanation:

Answer:

12.04

Step-by-step explanation:

Use the distance formula.

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\d = \sqrt{(4 - (-5))^2 + (-5-3)^2}\\d = \sqrt{(9)^2 + (-8)^2}\\d = \sqrt{81 + 64}\\d = \sqrt{145}[/tex]

Answer:

5/9

Step-by-step explanation:

Answer:

2:3

Step-by-step explanation:

As you said, the equation is separable:

dy/dt = 2t / exp(y)

exp(y) dy = 2t dt

Integrate both sides:

∫ exp(y) dy = ∫ 2t dt

exp(y) + C₁ = t ² + C₂

Move the constant terms to one side. When you add them together, you get another constant, so you can ignore the subscript altogether:

exp(y) = t ² + C

Solve for y explicitly by taking the logarithm of both sides:

ln(exp(y)) = ln(t ² + C )

y = ln(t ² + C )

C can be any number; if it happens to be 0, then you have

y = ln(t ²) = 2 ln(t )

so B is the correct choice.

You can also approach this from the opposite angle: Assume y is one of the given solutions, then substitute it into the ODE. (Bit more trial-and-error involved, so not a good idea if you're short on time.)

For example, if y = 2 exp(t ) as in choice A, you have dy/dt = 2 exp(t ), so the ODE would become

2 exp(t ) = 2t / exp(2 exp(t ))

which is clearly (I hope) not true.

Answer:

60

Step-by-step explanation:

10*6= 60 if thats what you wanted lol

Answer: See explanation

Step-by-step explanation:

Aisha gets on the elevator at sixth floor and then rides up three floors to meet shaimaa before riding down seven floors to meet abeer. This means Shel be at the (6+3-7) = 2nd floor.

The number of floors that aisha is from where she start will be:

= 6 - 2

= 4 floor downwards. Or -4.

Answer:

The answer is b

Step-by-step explanation:

Answer:

Step-by-step explanation:

nth root of a number 'a' is represented by the expression,

[tex]\sqrt[n]{a}[/tex]

In this expression 'n' = Index of of the radical

[tex]\sqrt[4]{16}[/tex] is called the 4th root of 16.

In [tex]\sqrt[4]{16}[/tex], the index is 4 and the radicand is 16.

4th root of 16 can be represented by [tex]\sqrt[4]{16}[/tex]

[tex]\sqrt[4]{16}=(16)^{\frac{1}{4}}[/tex]

       [tex]=(2^{4})^{\frac{1}{4}}[/tex]

       = 2

Answer:

96square feet

Step-by-step explanation:

Given data

Area of bathroom=36 square feet

Area of living room= 60 square feet

Hence the total area of the Bathroom and the living room combined is

= 36+60

=96square feet

Answer:

1. Ella can scale it up by 3 or by using the ratio 3:1, the smaller bed is exactly 1/3 of the bigger bed.

2A. No I am way taller than the 75".

2B. Ella can scale the bed up by 7:1 so that it can fit me.

Step-by-step explanation:

Answer:

33

Step by step explanation of the answer

Answer: 8

Step-by-step explanation:

(8 - 4) = 4

so then,

7(8 - 4) = 28

Step-by-step explanation:

    There is a rule that if c^2 > a^2 + b^2, then it is an obtuse triangle.

    *c is the longest side

     I attached more information on it below.

Answer:

I believe D. B12

Answer:

Step-by-step explanation:

Adjacent angles of parallelogram are supplementary.

∠A + ∠D = 180

Divide both sides by 2

[tex]\frac{1}{2}[/tex] ∠A + [tex]\frac{1}{2}[/tex] ∠D = 90

∠PAD + ∠ADP = 90       --------------------(I)

IN ΔPAD,

∠PAD + ∠ADP + ∠APD = 180 {angle sum property of triangle}

90  + ∠APD = 180         {from (I)}

          ∠APD = 180 - 90

         ∠APD = 90

∠SPQ = ∠APD             {vertically opposite angles}

∠SPQ = 90°

Similarly, we can prove ∠PQR = 90° ; ∠QRS = 90° and ∠RSP = 90°

In a quadrilateral if each angle is 90°, then it is a rectangle.

PQRS is a rectangle.

Answer:

Wut

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]2(n+7)=\frac{n}{3}-4\\ \\ 2n+14=\frac{n-12}{3}\\ \\ 6n+42=n-12\\ \\ 5n+42=-12\\ \\ 5n=30\\ \\ n=6[/tex]

Answer:

122

Step-by-step explanation:

[tex]x^6+y^2[/tex]

Plug in 1 for x and 11 for y

[tex]=1^6+11^2[/tex]

1 to the power of any number will always equal 1

[tex]=1+11^2\\=1+121\\=122[/tex]

I hope this helps!

Answer:

12

Step-by-step explanation:

Use the Pythagorean Theorem to solve.

10 squared minus 8 squared=36

Square rt = 6

6 + 6=12

The length, in centimeters, of AC should be considered as the 12

Since

In ABC, BD is perpendicular to AC. The dimensions are shown in centimeters.

So here the length should be like

= 10^2 - 8^2

= 100 - 64

= 36

= 6

So for AC it should be

=  6+ 6

= 12

Hence, The length, in centimeters, of AC should be considered as the 12

Learn more about length here: https://brainly.com/question/12497184

Given:

The figure of a right triangle.

To find:

The value of [tex]\sin(30^\circ)[/tex].

Solution:

We know that, the sides of 30°-60°-90° right triangle are [tex]x,x\sqrt{3},2x[/tex] opposite to the angles 30°, 60°, 90° respectively.

Opposite side of 90° is 9.

[tex]2x=9[/tex]

[tex]x=\dfrac{9}{2}[/tex]

[tex]x=4.5[/tex]

So, opposite side of 30° is 4.5.

In a right triangle:

[tex]\sin\theta = \dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\sin (30^\circ)= \dfrac{4.5}{9}[/tex]

[tex]\sin (30^\circ)= \dfrac{1}{2}[/tex]

Therefore, the correct option is A.

Answer:

d

Step-by-step explanation:

Answer:

X= 38

Step-by-step explanation:

A straight line is 180⁰ so we can subtract that by 133⁰ to get the degree on the inside of the triangle which is 47. You then add 47 and 95 to get 142. To get x you subtract 142 from 180