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Bingel [31]
3 years ago
13

Are the following equations parallel, perpendicular, the same line, or none of these -4x = -5y + 30

Mathematics
1 answer:
melomori [17]3 years ago
4 0
They are perpendicular..........
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Sally is having a problem with her puppy leaving the yard so she decides to build a new fence. the length of the yard is 10 feet
Anna35 [415]
Let x be the yard length, then if <span>the length of the yard is 10 feet more than 2 times the width, the length of the yard is 2x+10. The perimeter is 2 lengths + 2 widths, so P=2x+2(2x+10) .
</span>
Since Sally <span>needs 56 feet of fencing to do the job, P=56 ft. and
</span>
<span>2x+2(2x+10)=56,
</span><span>
</span><span>2x+4x+20=56,
</span><span>
</span><span>6x=56-20,
</span><span>
</span><span>6x=36,
</span><span>
</span><span>x=6 ft. and 2x+10=12+10=22 ft.
</span><span>
</span><span>Answer: The length of the yard is 22 feet</span>


4 0
3 years ago
Read 2 more answers
X squared + ysquared-6y=-5
Oksanka [162]
Standard Form of the circle:  

x^{2} +(y-3) ^{2} =14

For y:

y=3 (+/-) \sqrt{-x} ^{2}  +14

For x:

x=\sqrt{-y ^{2} } +6y+5&#10;&#10;and&#10;&#10;- \sqrt{-y}  ^{2} +6y+5
8 0
3 years ago
Use a calculator to solve for theta in the given interval
Allushta [10]

Answer:

d. 1.82\: or\:4.46

Step-by-step explanation:

The given trigonometric equation is;

\sec \theta=-4.0545

Recall that;

\cos \theta=\frac{1}{\sec \theta}

\implies \cos \theta=\frac{1}{-4.0545}

\implies \cos \theta=-0.2466

The cosine function is negative in the second and third quadrant.

\theta=\pi-\cos^{-1}(0.2466)\: or\:\pi+\cos^{-1}(0.2466)

\theta=1.82\: or\:4.46

4 0
3 years ago
$40,000 is invested at a rate of 5.7% that is compounded semiannually.
Misha Larkins [42]

Answer:

$$78760.00

Step-by-step explanation:

You want to calculate the interest on $40000 at 5.7% interest per year after 17 years.

The formula we'll use for this is the simple interest formula, or:

I=P*r*t

Where:

  • P is  principal amount, $40,000
  • r is the interest rate, 5.7% per year, or in decimal form, \frac{5.7}{100} =0.057
  • t is the time involved, 17 years

To find the simple interest we multiply 40000*0.057*17 to get

The interest rate is  $38,760

Usually now, the interest is added onto the principal to figure some new amount after 17 years.

or 40000.00 + 38760.00 = 78760.00

=$78,760

4 0
2 years ago
A randomly selected sample of college basketball players has the following heights in inches.
Romashka [77]

Answer:

__63.81 inches__< μ <___65.87 inches__

Step-by-step explanation:

To calculate at 95% confidence interval, we need the Mean of the sample= 64.84

Sample size=32

Standard Deviation=2.9592

95% Confidence Interval: 64.84 ± 1.03

(63.81 inches to 65.87 inches)

"With 95% confidence the population mean is between 63.81 and 65.87, based on 32 samples."

5 0
2 years ago
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