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3 years ago

Solve the following system of equations by linear combination: 2d + e = 8 d – e = 4

1 answer:

3 0

Because there is a +e and a -e in the two equations we can simply add them together to solve for d...

2d+e+d-e=8+4 combine like terms

3d=12 divide by 3

d=4, now use this d in either original equation to solve for e...<span>d–e=4 so

4-e=4 subtract 4

-e=0

e=0

So the solution, where the lines intersect graphically, is the point (4, 0)</span>

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Prove that: sin8A/1-cos8A=cot4A

nikitadnepr [17]

Step-by-step explanation:

Recall the identity

$\tan \frac{A}{2}= \dfrac{1 - \cos A}{\sin A}$

We can see that

$\dfrac{\sin 8A}{1 - \cos 8A} = \dfrac{1}{\tan 4A}= \cot 4A$

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3 years ago

Parallel and Perpendicular Equations (help! 40 points!)

PolarNik [594]

Answer:

Step-by-step explanation:

y=mx+c

So in this case, m is (-3/7), which is the slope.

(-3/7)(another slope)=-1

Another slope=3/7

A. The slope is -7/3

B. The slope is 3/7

C. The slope is -7/3

D. The slope is -3/7

Thus, the answer is the bottom of the left hand side, which is 3x-7y=14

Hope it helps!!! Good luck!!

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3 years ago

Read 2 more answers

during the winter months, freshwater fish sense the water getting colder and swim to the bottom of lakes and rivers to find warm

Jlenok [28]

Answer: 28 feet.

Step-by-step explanation:

Given: During the winter months, freshwater fish sense the water getting colder and swim to the bottom of lakes and rivers to find warmer water.

The total depth of the lake = 32 feet

Since, fish swims 7/8 of the depth, then the depth of lake to which the fish swim= $\frac{7}{8}\times32\ feet$

Since, $32\div8=4$

therefore, $\frac{7}{8}\times32=7\times4=28$

Hence, the fish swim 28 feet in lake.

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3 years ago

a jogger runs 4 miles per hour faster downhill than uphill. if the jogger can run 5 miles downhill in the same time that it take

Serga [27]

Answer: the rate uphill is 6 mph.

The rate downhill is 10 mph

Step-by-step explanation:

Let x represent the rate at which the jogger ran uphill.

The jogger runs 4 miles per hour faster downhill than uphill. This means that speed at which the jogger ran downhill is (x + 4) mph

Time = distance/speed

if the jogger can runs 5 miles downhill, then the time taken to run downhill is

5/(x + 4)

At the same time, the jogger runs 3 miles uphill. It means that the time taken to run uphill is

3/x

Since the time is the same, it means that

5/(x + 4) = 3/x

Cross multiplying, it becomes

5 × x = 3(x + 4)

5x = 3x + 12

5x - 3x = 12

2x = 12

x = 12/2

x = 6

The rate downhill is 6 + 4 = 10 mph

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3 years ago

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elena55 [62]

Answer:

I Think its B

Step-by-step explanation:

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