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Vesna [10]
3 years ago
5

What is the slope of the line that is parallel to the line

Mathematics
1 answer:
Advocard [28]3 years ago
6 0
Both slopes are going to be the same, as parallel lines have the same slopes but different y-intercepts. To find the slope of this line (if you haven’t already), you need to isolate y.

4x - 5y= -1

-5y= -4x - 1 (or -1 - 4x)

-y= (-4/-5)x - 1/5

Canceling out the negatives,
y= (4/5)x + 1/5.

Therefore, the slope of both the listed line and any line parallel to it is 4/5.
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Forces of 9 lbs and 13 lbs act at a 38º angle to each other. Find the magnitude of the resultant force and the angle that the re
fiasKO [112]

Answer: R=20.84\ lb\quad 22.57^{\circ},15.43^{\circ}

Step-by-step explanation:

Given

Two forces of 9 and 13 lbs acts 38^{\circ} angle to each other

The resultant of the two forces is given by

\Rightarrow R=\sqrt{a^2+b^2+2ab\cos \theta}

Insert the values

\Rightarrow R=\sqrt{9^2+13^2+2(9)(13)\cos 38^{\circ}}\\\Rightarrow R=\sqrt{81+169+184.394}\\\Rightarrow R=\sqrt{434.394}\\\Rightarrow R=20.84\ lb

Resultant makes an angle of

\Rightarrow \alpha=\tan^{-1}\left( \dfrac{b\sin \theta}{a+b\cos \theta}\right)\\\\\text{Considering 9 lb force along the x-axis}\\\\\Rightarrow \alpha =\tan^{-1}\left( \dfrac{13\sin 38^{\circ}}{9+13\cos 38^{\circ}}\right)\\\\\Rightarrow \alpha =\tan^{-1}(\dfrac{8}{19.244})\\\\\Rightarrow \alpha=22.57^{\circ}

So, the resultant makes an angle of 22.57^{\circ} with 9 lb force

Angle made with 13 lb force is 38^{\circ}-22.57^{\circ}=15.43^{\circ}

7 0
3 years ago
Read 2 more answers
The perimeter of a rectangular 6-sided figure is 30 units, and the length of each side is x + 1 units. What is the value of x?
kiruha [24]
The value of x would be 6.5 because if you add 1 to 6.5 you get 7.5 and 7.5 multiplied by 4 is 30
4 0
4 years ago
Explain how to solve 3x − 4 = 6 using the change of base formula log base b of y equals log y over log b.
irina [24]
X= 10/3 would be the answer
3 0
4 years ago
Read 2 more answers
The areas of two similar triangles are 72dm2 and 50dm2. The sum of their perimeters is 226dm. What is the perimeter of each of t
zloy xaker [14]

Answer:

103=  p small

plarge = 123

Step-by-step explanation:

We know that the the ratio of the areas is the scale factor squared/

Larger triangle over smaller triangle

72

----- = scale factor ^2

50

simplify by dividing by 2 on top and bottom

36

----- = scale factor ^2

25

Take the square root of each side

sqrt(36)

-------------- = sqrt(scale factor ^2)

sqrt(25)

6

-------------- = scale factor

5

The ratio of the perimeters is the scale factor

p large             6

-------------- = ----------------

 p small                5

Using cross products

6 p large = 5 p small

We know the sum is 226

p large + p small = 226

p large = 226 - p small

We have 2 equation and 2 unknowns

6 p large = 5 p small

Substitute for p large

6 (226 - p small) = 5 p small

1356 - 6 p small = 5 p small

Add 6 p small to each side

1356 = 11 p small

divide by 11

1356/11 =  p small

P large = 226-1356/11

p large = 2486/11-1356/11

plarge = 1130/11

The solution requires whole number answers so

1356/11 =  p small

123.27 which rounds to 123

plarge = 1130/11

plarge = 102.7272 = 103

6 0
3 years ago
A rational expression is undefined whenever its numerator is zero.
kipiarov [429]

Answer:

False

Step-by-step explanation:

for a rational number expressed as (A / B) where A & B are integers

if the numerator (A) is zero, then (A/B) is simplify zero

i.e (A / B) = (0 / B) = 0

however if the denominator (B) is zero, then by definition any value divided by zero is undefined.

(A / B) = (A / 0) = {undefined}

7 0
3 years ago
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