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blagie [28]
3 years ago
5

D = {x|x is a whole number} E = {x|x is a perfect square between 1 and 9} F = {x|x is an even number greater than or equal to 2

and less than 9} Which of the following is an element of D ∩ (E ∩ F)?
Mathematics
1 answer:
ser-zykov [4K]3 years ago
4 0
<span>E = {x|x is a perfect square between 1 and 9} = {1,4
</span><span>F = {x|x is an even number greater than or equal to 2 and less than 9}
</span><span>D = {x|x is a whole number}
</span>
answer
D ∩ (E ∩ F) = 4
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Convert 35°24` dms to decimal form
jeka94
<span>35°24`  = 35 degrees plus 24/60 degrees = 35.4 degrees.

24/60 degrees is equivalent to 24 minutes.</span>
7 0
2 years ago
Write an equation in slope - intercept form for the line that satisfies each set of conditions
ivanzaharov [21]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

(1)

Rearrange 3x + 2y = 1 into this form by subtracting 3x from both sides

2y = - 3x + 1 ( divide all terms by 2 )

y = - \frac{3}{2} x + \frac{1}{2} ← in slope- intercept form

with slope m = - \frac{3}{2}

Parallel lines have equal slopes, thus

y = - \frac{3}{2} x + c ← is the partial equation

To find c substitute (- 6, 15) into the partial equation

15 = 9 + c ⇒ c = 15 - 9 = 6

y = - \frac{3}{2} x + 6 ← equation of line

(2)

Rearrange x + 2y = 8 into slope- intercept form by subtracting x from both sides

2y = - x + 8 ( divide all terms by 2 )

y = - \frac{1}{2} x + 4 ← in slope- intercept form

with slope m = - \frac{1}{2}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{1}{2} } = 2, thus

y = 2x + c ← is the partial equation

To find c substitute (5, - 2) into the partial equation

- 2 = 10 + c ⇒ c = - 2 - 10 = - 12

y = 2x - 12 ← equation of line

3 0
3 years ago
Read 2 more answers
Please help quick what is the answer thank you
notka56 [123]
Answer: y= -3x + 4
Explanation: As the general equation of line is y= mx + c where m is the slope of the line and c is the y intercept.
=> for m we need to find the slope of line which is y2 - y1/ x2 - x1
=> 7-1/ -1-1 = 6/-2 = -3
and as we can in the diagram the y intercept is 4
that means our equation for the given line is y = -3x + 4.
5 0
2 years ago
Read 2 more answers
Directions:
cricket20 [7]
1. obtuse angle is shown, 45° is missing.
2. obtuse angle is shown, 29° is missing.
3. acute angle is shown, 65° is missing.
4. acute angle is shown, 40° is missing.
5. acute angle is shown, 42° is missing.
6. acute angle is shown, 100° is missing.
7 an obtuse angle and a acute angle are shown, 54° (for number 1) and 126° (for number 2) are missing.
8. an obtuse and a acute angle are shown, 45° (for 1) and 135° (for 2) are missing.
5 0
3 years ago
In a collision, a 5 kg mass moving at 2m/s transfers all of its momentum to a 1 kg mass. What is the velocity of the 1kg mass af
statuscvo [17]
Answer:
velocity = 10 m/sec in the same direction as the first body did

Explanation:
The momentum of the body can be calculated as follows:
momentum = mass * velocity

For the first body, we have:
mass = 5 kg
velocity = 2 m/sec
momentum = mass * velocity
momentum = 5 * 2 = 10 kg.m/sec

We know that this momentum is transferred completely to the second body

For the second bode, we have:
momentum = 10 Kg.m/sec
mass = 1 kg
momentum = mass * velocity
10 = 1 * velocity 
velocity = 10/1
velocity = 10 m/sec

Finally, we should get the direction of the motion:
Both the velocity of the first and second bodies have positive values. Therefore, the second body is moving in the same direction as the first body did.

Hope this helps :)
6 0
3 years ago
Read 2 more answers
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