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3 years ago

Which values for a b will create infinitely many solutions?

Mathematics

1 answer:

Stels [109]3 years ago

3 0

Answer:

Step-by-step explanation:

Given the 2 equations

4x - Ay = 15 → (1)

- 4x + 6y = B → (2)

The system will have infinitely many solutions if the equations are equal

Multiply (2) by - 1

4x - 6y = - B

Equations are now equal, thus equate coefficients of relevant terms

- Ay = 6y ⇒ A = - 6

- B = 15 ⇒ B = - 15

Thus A = - 6, B = - 15 → D

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Serjik [45]

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2 years ago

Read 2 more answers

The diagram shows a sketch of a survey done by a civil engineering student .Find the value of x,giving your answer correct to 1

Hatshy [7]

You can do this by drawing one line through parallel to PQS to meet RQ at T

Now calculate length of RT:-

cos 70 = RT / 70 giving RT = 23.94m

sin 70 = ST/70 giving ST = 65.78 m

draw a line from S perpendicular to PQ to meet PQ at U.

PU = 110 - 65.78 = 44.22 m

tan 50 = SU / 44.22 giving SU = 52.70 m

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2 years ago

1.) how much will $5000 be worth in 5 years if it is compounded continuously at 3% interest.

Nady [450]

Answer:

$5809.17

$6149.01

$2211.72

Step-by-step explanation:

Continous interest formula:

(pv)e^(rt)

we have

5000e^(5*.03)= 5809.17

Same equation from before

2500e^(.09*10)= 6149.01

2000e^(.0575*(21/12))

(we write 21/12 because that's how many years has passed)

= 2211.72

5 0

3 years ago

A park has a large circle painted in the middle of the playground area. The circle is divided into 4 equal sections, and each se

oee [108]

First you need to find the area of the whole circle. $\pi r^{2}$
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Putting $\pi$ after the 100 because that is what is commonly done.

Because the circle is then being split into 4 equal sections, we need to find 1/4 of the area of the whole circle to find the area of one of these sections.

Since the area of the whole circle is $100 \pi$ then we just divide that by 4,
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2 years ago

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Furkat [3]

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2 years ago