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rosijanka [135]
3 years ago
12

Solve the system of inequalities by graphing x < -5 x ≥ -8

Mathematics
1 answer:
irga5000 [103]3 years ago
5 0

Answer:

x=-6 , -7 . -8

Step-by-step explanation:

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A recent television commercial asked viewers, "Do you have over $10,000 in credit card debt?"
zhenek [66]

Based on the information provided, the amount of money associated with the credit card debt is inferred to be $10,000.

<h3>What is a debt?</h3>

A debt is a term that refers to an obligatory payment commitment that relates two entities that can be:

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  • Person - State
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  • Group - State
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Based on the foregoing, it can be inferred that the term debt refers to the payment obligation of $10,000 that a person may have in order to use their credit card.

Learn more about debt in: brainly.com/question/1293792

6 0
2 years ago
The angle measures of a triangle are (x + 20)°, (7x + 11)°, and (4x - 7)°. Which of the following is NOT one of the angle measur
bezimeni [28]

Answer:

Step-by-step explanation:

73

6 0
3 years ago
Angle Side Relationship 1/5<br> Will mark brainlist to whoever answers first
tresset_1 [31]

Answer:

m<A > m<B > m<C

Step-by-step explanation:

In triangles, the measure of angles is proportional with the side length's they see,

The angle with the biggest the biggest measure sees the biggest side length

in triangle ABC the side lengths are given as

BC = 14, CA = 13 and AB = 5

from this, we can conclude:

m<A > m<B > m<C

3 0
2 years ago
If 2tanA=3tanB then prove that,<br>tan(A+B)= 5sin2B/5cos2B-1​
Fed [463]

By definition of tangent,

tan(A + B) = sin(A + B) / cos(A + B)

Using the angle sum identities for sine and cosine,

sin(x + y) = sin(x) cos(y) + cos(x) sin(y)

cos(x + y) = cos(x) cos(y) - sin(x) sin(y)

yields

tan(A + B) = (sin(A) cos(B) + cos(A) sin(B)) / (cos(A) cos(B) - sin(A) sin(B))

Multiplying the right side by 1/(cos(A) cos(B)) uniformly gives

tan(A + B) = (tan(A) + tan(B)) / (1 - tan(A) tan(B))

Since 2 tan(A) = 3 tan(B), it follows that

tan(A + B) = (3/2 tan(B) + tan(B)) / (1 - 3/2 tan²(B))

… = 5 tan(B) / (2 - 3 tan²(B))

Putting everything back in terms of sin and cos gives

tan(A + B) = (5 sin(B)/cos(B)) / (2 - 3 sin²(B)/cos²(B))

Multiplying uniformly by cos²(B) gives

tan(A + B) = 5 sin(B) cos(B) / (2 cos²(B) - 3 sin²(B))

Recall the double angle identities for sin and cos:

sin(2x) = 2 sin(x) cos(x)

cos(2x) = cos²(x) - sin²(x)

and multiplying uniformly by 2, we find that

tan(A + B) = 10 sin(B) cos(B) / (4 cos²(B) - 6 sin²(B))

… = 10 sin(B) cos(B) / (4 (cos²(B) - sin²(B)) - 2 sin²(B))

… = 5 sin(2B) / (4 cos(2B) - 2 sin²(B))

The Pythagorean identity,

cos²(x) + sin²(x) = 1

lets us rewrite the double angle identity for cos as

cos(2x) = 1 - 2 sin²(x)

so it follows that

tan(A + B) = 5 sin(2B) / (4 cos(2B) + 1 - 2 sin²(B) - 1)

… = 5 sin(2B) / (4 cos(2B) + cos(2B) - 1)

… = 5 sin(2B) / (4 cos(2B) - 1)

as required.

5 0
2 years ago
One clay brick weighs 5.76 pounds. The brick is 8 inches long and 2 1/4 inches wide. If the clay weighs 0.08 pounds per cubic in
IgorLugansk [536]
Yess yess yess 5.76 si right


4 0
3 years ago
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