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4 years ago

Given: x - 5 > -10.

1 answer:

4 0

The solution to the problem is as follows:

x - 5 > -10

is equivalent to :

x - 5 + 5 > -10 + 5

x > 5

therefore,

{x | x ∈ R, x < 5} <---- answer

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

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Use the formula aequals upper p left parenthesis 1 plus r right parenthesis superscript t to find the rate r at which $3000 com

hichkok12 [17]

The answer is 7,323 al you have to do is pay atention

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3 years ago

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Quadrilateral RSTU is a parallelogram. What must be the value of x?

Luba_88 [7]

I set x-3 and 3x-13 equal to each other and then got x equal to 5. So, I believe the correct answer would be C.) 5

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3 years ago

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Given: sin ∅= 4/5 and cos x = -5/13 ; evaluate the following expression. tan( ∅ - x )

Pavlova-9 [17]

By definition of tangent,

tan(θ - x) = sin(θ - x) / cos(θ - x)

Expand the sine and cosine terms using the angle sum identities,

sin(x ± y) = sin(x) cos(y) ± cos(x) sin(y)

cos(x ± y) = cos(x) cos(y) ∓ sin(x) sin(y)

from which we get

tan(θ - x) = (sin(θ) cos(x) - cos(θ) sin(x)) / (cos(θ) cos(x) + sin(θ) sin(x))

Also recall the Pythagorean identity,

cos²(x) + sin²(x) = 1

from which we have two possible values for each of cos(θ) and sin(x):

cos(θ) = ± √(1 - sin²(θ)) = ± 3/5

sin(x) = ± √(1 - cos²(x)) = ± 12/13

Since there are 2 choices each for cos(θ) and sin(x), we'll have 4 possible values of tan(θ - x) :

• cos(θ) = 3/5, sin(x) = 12/13 :

tan(θ - x) = -56/33

• cos(θ) = -3/5, sin(x) = 12/13 :

tan(θ - x) = 16/63

• cos(θ) = 3/5, sin(x) = -12/13 :

tan(θ - x) = -16/63

• cos(θ) = -3/5, sin(x) = -12/13 :

tan(θ - x) = 56/33

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2 years ago

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1) You are designing a new kiddie soccer arena. The area of the rectangular

nikdorinn [45]

Answer:

The length of the rectangular field is 12 ft and the width is 5 ft.

Step-by-step explanation:

The area of a rectangle is:

$\text{Area} = \text{length}\times \text{width}$

The area of a rectangular field is, A = 60 ft.

The length of the field is:

l = w + 7

Compute the width of the field as follows:

$\text{Area} = \text{length}\times \text{width}$

$60=(w+7)\times w\\\\60=w^{2}+7w\\\\w^{2}+7w-60=0\\$

Factorize the last equation by splitting the middle term as follows:

$w^{2}+7w-60=0\\w^{2}+12w-5w-60=0\\w(w+12)-5(w+12)=0\\(w-5)(w+12)=0$

Now, since the width of rectangular field cannot be negative, the width is 5 ft.

Compute the length as follows:

l = w + 7

= 5 + 7

= 12

The length of the rectangular field is 12 ft.

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3 years ago

The focus of the parabola -40x = y2 is: (-10, 0) (0, -10) (0, 10) (10, 0)

Luda [366]

Answer:

Option A: (-10,0)

Step-by-step explanation:

The given equation of the parabola is in the form of $y^2=4ax$ where the focus is located at $(a,0)$ . Therefore, the focus of the parabola is $(-10,0)$ .

3 0

2 years ago