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1 year ago

Let D= {4,7,9} , let E {4,6,7,8}, and let F={3,5,6,7,9}a) find the D U Eb) find the E n F

Mathematics

1 answer:

Juli2301 [7.4K]1 year ago

4 0

the given sets are,

D= {4,7,9} , let E {4,6,7,8}, and let F={3,5,6,7,9}

now,

D U E = { 4 , 6, 7 , 8, 9}

and'

E intersection F = E n F = {6 , 7)

thus, the answer is

D U E = { 4 , 6, 7 , 8, 9} and

E n F = {6 , 7)

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I marked all 3 parts. I need to know part C (the shaded part). anybody mind helping?

Mnenie [13.5K]

Answer:

Area of shaded part ABCEF = 66 sq.cm

Step-by-step explanation:

AB = 8cm

CD = 8cm

Let DE = x cm

CE = 3x cm

CD = CE + DE = 8cm

x + 3x = 8

4x = 8

x = 8/4 = 2 cm

DE = 2cm

CE = 3 * 2 = 6 cm

Area of triangle ADE = 1/2 * base * height

= 1/2 * DE * AD

= 1/2 * 2 * 11 = 11 sq. cm

Area of triangle AEF = Area of triangle ADE = 11 sq. cm

Area of Rectangle ABCD = l * b = 8 * 11 = 88 sq.cm

Area of shaded part ABCEF = Area of Rectangle ABCD - (Area of triangle AEF + Area of triangle ADE)

= 88 - ( 11 + 11 ) = 88 -22 = 66 sq.cm

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2 years ago

What is an equation of the line that passes through (2,2) and is parellel to the line y=7x

laila [671]

Answer:

Therefore, equation of the line that passes through (2,2) and is parellel to the line $y=7x$ is $y=7x-12$

Step-by-step explanation:

Given:

a line $y=7x$

To Find:

Equation of line passing through ( 2, 2) and is parellel to the line y=7x

Solution:

$y=7x$ ...........Given

Comparing with,

$y=mx$

Where m =slope

We get

$Slope = m = 7$

We know that parallel lines have Equal slopes.

Therefore the slope of the required line passing through (2 , 2) will also have the slope = m = 7.

Now the equation of line in slope point form given by

$(y-y_{1})=m(x-x_{1})$

Substituting the points and so we will get the required equation of the line,

$(y-2)=7(x-2)=7x-14\\\\y=7x-12......Equation\ of\ line$

Therefore, equation of the line that passes through (2,2) and is parellel to the line $y=7x$ is $y=7x-12$

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3 years ago

What is the slope of this line?

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(-4,5),(0,6)

slope = rise/run
tip... you have to crawl (run) before you run (rise) .

you can use the slope formula
$\frac{5 - 6}{ - 4 - 0} = \frac{ - 1}{ - 4} = \frac{1}{4}$
1/4

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2 years ago

372-199= What’s the answer

Montano1993 [528]

Answer:

Step-by-step explanation:

The answer is 173. Just use the calculator

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A politician claims that a proposal for a new traffic law is broadly supported by both political parties and that a person from

Mashutka [201]

Answer:

Based on the 95% confidence interval for the difference in population proportion, there is convincing statistical evidence that he is correct

Step-by-step explanation:

The proportion from the sample of people from his party that support the law = 70%

The number the members of the politicians political party that support the law = 550 people

The proportion from the sample of people from the other party that support the law = 65%

The number the members of the politicians political party that support the law = 420 people

The confidence level of the test = 95%

The given confidence interval for the difference in proportion, C.I. = (-0.010, 0.110)

Given that the 95% confidence interval for the difference in population proportion ranges from -0.010, to 0.110, it is 95% certain that 0 is among the likely difference in proportion between the two populations and therefore, there is sufficient statistical evidence to suggest that there is no difference in the proportion of the members of either political that support the proposed new traffic law.

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