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LiRa [457]
2 years ago
5

Solve the following system of equations graphically. x = -5 y = -6

Mathematics
1 answer:
zhuklara [117]2 years ago
8 0

The solution to the system of equations is (-5,-6)

<h3>How to solve the system of equations?</h3>

The system of equations is given as:

x = -5

y = -6

Next, we plot both equations on a coordinate plane (see attachment)

From the attached graph, both lines intersect at:

(x,y) = (-5,-6)

Hence, the solution to the system of equations is (-5,-6)

Read more about system of equations at:

brainly.com/question/13729904

#SPJ1

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Sin α = 21/29, α lies in quadrant II, and cos β = 15/17, β lies in quadrant I Find sin (α - β).
Sever21 [200]
\sin(\alpha-\beta)=\sin\alpha\cos\beta-\cos\alpha\sin\beta

\sin\alpha=\dfrac{21}{29}\implies \cos^2\alpha=1-\sin^2\alpha=\dfrac{400}{841}

Since \alpha lies in quadrant II, we have \cos\alpha, so

\cos\alpha=-\sqrt{\dfrac{400}{841}}=-\dfrac{20}{29}

\cos\beta=\dfrac{15}{17}\implies\sin^2\beta=1-\cos^2\beta=\dfrac{64}{289}

\beta lies in quadrant I, so \sin\beta>0 and

\sin\beta=\sqrt{\dfrac{64}{289}}=\dfrac8{17}

So

\sin(\alpha-\beta)=\dfrac{21}{29}\dfrac{15}{17}-\left(-\dfrac{20}{29}\right)\dfrac8{17}=\dfrac{475}{493}
8 0
3 years ago
At the start of the year a summer holiday to Spain cost £650. It increased by 11% in
olga nikolaevna [1]

Answer:

Final cost = £779

Step-by-step explanation:

It is given that:

Cost of summer holiday =  £650

Amount increased by 11%

Increased cost = 11% of 650

Increased cost = \frac{11}{100}*650

Increased cost = 0.11 * 650 =  £71.50

Amount after increment = 650 + 71.50 = £721.50

Further increase = 8%

Amount = 0.08 * 721.50 = £57.72

Final cost = 721.50 + 57.72 =  £779.22

Thus,

Final cost = £779

5 0
3 years ago
Easy and simple but i don’t know which one goes to which. please help
Llana [10]

Answer:

They are placed in right order (quite interesting).

Step-by-step explanation:

Just drag each answer choice as they are placed.

Best Regards!

6 0
3 years ago
In triangle ABC, and C is a right angle. Find the value of the trig function find the sec(A) if C=25, B=20, A=15
asambeis [7]

Answer:

sec A = 5/4

Step-by-step explanation:

Sec of an angle is hypotenuse/adjacent side

In your problem, sec A = 25/20 = 5/4

It helps if you can draw a figure of the problem.  Make sure you memorize the definition of each trig function

5 0
3 years ago
Sixty percent of what number is equal to 45 percent of 80?
Dovator [93]

Answer:

60

Step-by-step explanation:

60% * x = 45% * 80

Changing to decimal form

.60x = .45 *80

.60x =36

Divide each side by .60

.60x/.60 = 36/.60

x =60

6 0
3 years ago
Read 2 more answers
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