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vaieri [72.5K]
3 years ago
6

Which ordered pair (c, d) is the solution to the given system of linear equations?

Mathematics
2 answers:
olga2289 [7]3 years ago
4 0

Answer:

a

Step-by-step explanation:

i got it right on edge

sasho [114]3 years ago
3 0

Answer:

(-1,6)

Step-by-step explanation:

The missing part of this question is the system given as;

-c+2d=13

-9c-4d=-15

We solve for c in the top equation to get:

c=2d-13

Substitute c=2d-13 into the bottom equation to get:

-9(2d-13)-4d=-15

Expand to get:

-18d+117-4d=-15

Group similar terms to get:

-18d-4d=-15-117

-22d=-132

d=6

Put d=6 into c=2d-13 to get:

c=2*6-13

c=12-13=-1

The solution is (-1,6)

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Step-by-step explanation:

  • cos θ = 2/3

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Hence, base = 2 units and hypotenuse = 3 units.

\quad \twoheadrightarrow\sf { H^2 = B^2 + P^2} \\

\quad \twoheadrightarrow\sf { P^2 = H^2 - B^2} \\

\quad \twoheadrightarrow\sf { P^2 = (3)^2 - (2)^2} \\

\quad \twoheadrightarrow\sf { P^2 = 9- 4} \\

\quad \twoheadrightarrow\bf { P = \sqrt{5}} \\

Now, we know that :

\quad \twoheadrightarrow\sf {cosec \; \theta = \dfrac{Hypotenuse}{Perpendicular} } \\

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Therefore, the required answer is 3/√5.

4 0
2 years ago
If $7,000 is placed in an account with an annual interest rate of 5.5%, how long will it take the amount to triple if the intere
butalik [34]
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t = 20.52 years

4 0
4 years ago
How do you solve 5(N+4)/3 = N-8
Dmitriy789 [7]

Answer:

n=-22

Step-by-step explanation:

rewrite the equation as <u>5(n+4)</u><u> </u>= n-8

3

now distribute the 5 through the parentheses <u>5n</u><u>+</u><u>2</u><u>0</u><u> </u>= n-8

3

multiply each side by 3 5n+20=3n - 24

subrtact 3n from both sides 5n+20=3n - 24

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2n+20=-24

then subtract 20 from each side 2n +20=-24

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Giving you 2n=-44 then divide both sides by 2

<u>2n</u>=<u>-44</u><u> </u>Giving you n=-22

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2 years ago
Jan has 10 reports to file. If each report takes an average of 75 minutes. to file, how long will it take to file 70% of them?
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10 × 75 = 750 minutes to file 100% of the files. (Approximately 12.5 hours)

\frac{70}{100} = 0.7

70% of these files = 750 × 0.7 = 525 minutes.

Converting 525 minutes into hours, Jan would to take 8.75 hours to file 70% of the files.


6 0
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