The law of cosines is:
c² = a² + b² - 2abCos(C)
Therefore, in order to apply this law, we must know the value of two adjacent sides, represented by a and b here, and the value of their subtended angle, represented by C.
A positive correlation means sales are rising because of advertising
the steeper the chart the more money is being made, so the owner would be happier with a steeper slope
Answer:
or 
Step-by-step explanation:
This is factorable.
The leading coefficient is 1.
Since this is a quadratic all we have to do is find two numbers that multiply to be c and add up to be b to factor the expression that is to the left of the equal sign.
By the way a quadratic expression looks like 
.
So we want to find two numbers that multiply to be -6 and add up to be -1.
Those numbers are -3 and 2 since (-3)(2)=-6 and -3+2=-1.
So the factored form is:
.
Since we have a product is zero then at least one of the factors need to be zero in order for the equation to hold.
So this means we have the following two equations to solve:
or 
First equation we will add 3 on both sides.
Second equation we will subtract 2 on both sides.
or
Answer:
148.12 is acd
Step-by-step explanation:
The length of the line segment SR is 15 units ⇒ 3rd answer
Step-by-step explanation:
Let us revise the rules in the right angle triangle when we draw the perpendicular from the right angle to the hypotenuse
In triangle ABC
Angle B is a right angle and AC is the hypotenuse
BD ⊥ AC ⇒ perpendicular from the right angle to the hypotenuse
- (AB)² = AD × AC
- (BC)² = CD × AC
- (BD)² = AD × CD
- BD × AC = AB × BC
In Δ SRQ
∵ ∠SRQ is a right angle
∴ SQ is the hypotenuse
∵ RT ⊥ SQ
- By using the rules above
∴ (RQ)² = TQ × SQ
∵ RQ = 20 units and TQ = 16 units
- Substitute these values in the rule above
∴ (20)² = 16 × SQ
∴ 400 = 16 × SQ
- Divide both sides by 16
∴ SQ = 25 units
By using Pythagoras theorem in Δ SRQ
∵ (SR)² + (RQ)² = (SQ)²
∵ RQ = 20 units and SQ = 25 units
- Substitute these values in the rule above
∴ (SR)² + (20)² = (25)²
∴ (SR)² + 400 = 625
- Subtract 400 from both sides
∴ (SR)² = 225
- Take √ for both sides
∴ SR = 15 units
The length of the line segment SR is 15 units
Learn more:
You can learn more about right triangles in brainly.com/question/1238144
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