Which best describes the relationship between the line that passes through the points (9, –1) and (11, 3) and the line that passes through the points (–6, –4) and (–4, 0)?

A. parallel
B. neither perpendicular nor parallel
C. perpendicular
D. same line

Answer:

Use law of Cosines or Tangent

Step-by-step explanation:

This is a SAS triangle, where you have have an angle adjacent to two side lengths. But given that it is a right triangle, you can find the hypotenuse by just using the tangent formula. You can find the quantity of any angle by applying tan= opposite side/adjacent side length.

However, lets say you want to find the opposite side, side XZ, you can use the law of cosine which basically states:

c=a^2+b^2﹣2abcos(angle number).  But since it is a right triangle, just use the hypotenuse theorem which states: C^2 = A^2 + B^2

The answer for XZ would thus be: squareroot of 136 or 2(34)^1/2.

Hope this helps :)

Answer:

D. 10 feet

Step-by-step explanation:

40/8 = x/2 --> cross multiply

8x = 80

x = 10

Option D is correct, the person who casts a 2 feet shadow is 10 foot tall.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that At a certain time of day, a 40-foot building casts a 8 foot shadow.

We need to find how tall is a person who casts a 2 foot shadow.

Let x be the height of the person.

Let us form a proportional equation

40/8=x/2

Apply cross multiplication

80=8x

Divide both sides by 8

x=10

Hence, the person who casts a 2 foot shadow is 10 foot tall.

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Answer:

In the diagram, planes JMN and KLO are parallel and planes JKN and LMP are also parallel.

Step-by-step explanation:

To be parallel in geometric terms means that two planes are on opposite sides of each other and will never intersect or touch. Knowing this, we can go through the choices one by one to see if those planes are parallel.

LMP and JKL are not parallel because they intersect at point L.

JMN and JKL are not parallel because they intersect at point J.

JKN and LMP are parallel because they never intersect or touch.

JMN and KLO are parallel because they never intersect or touch.

So, planes JMN and KLO are parallel and planes JKN and LMP are also parallel.

Answer:

           [tex]\bold{x=\sqrt{\dfrac{2U}{k}}}[/tex]

Step-by-step explanation:

                                         [tex]U=\frac12kx^2\\\\2U=kx^2\\\\\dfrac{2U}k=x^2\\\\x=\sqrt{\dfrac{2U}k}[/tex]

or if you miswrite and it should be: U=1/(2kx^2), than

[tex]U=\dfrac1{2kx^2}\\\\\dfrac1U=2kx^2\\\\\dfrac1{2kU}=x^2\\\\x=\sqrt{\dfrac1{2kU}}[/tex]

Answer:

nw to s so it makes it 2.1

Step-by-step explanation:

the answer 5.6

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The list of triangles are:

The diagram below is probably a better way to see all the triangles.

Answer:

f(3) = 8

Step-by-step explanation:

f(x) = 5x - 7

Put x as 3 and evaluate.

f(3) = 5(3) - 7

f(3) = 15 - 7

f(3) = 8

Answer: 8

Step-by-step explanation:

Answer:

(5+a)/ ( a-1)

Step-by-step explanation:

f(x) = ( 3+x) / (x-3)

Replace x with a+2

f(a+2) = ( 3+a+2) / (a+2-3)

Combine like terms

         = (5+a)/ ( a-1)

Answer:

C. (5+a)/(a-1)

Step-by-step explanation:

f(a+2)=(3+a+2)/(a+2-3)=(5+a)/(a-1)

Answer: 9953/10000

Step-by-step explanation:

There is no simplifying this and this is the fraction it is at its least form!, Hope this helped!

<!> Brainliest is appreciated! <!>

Answer:

9953/10000

Step-by-step explanation:

0.9953 as a fraction is written as 9953/10000(nine-thousand fifty-three over ten-thousand)

Hope this helps!!! PLZ MARK BRAINLIEST!!!

I hope this helps you

Answer:

26 boys.

Step-by-step explanation:

You know that there are 36 students on the soccer team, and 19 are girls. 36 - 19 = 17. There are 17 boys on the track team.

There are 18 boys on the basketball team.

To find out how many boys are on the track team, all you need to do is...

61 - (17 + 18) = 61 - 35 = 26.

There are 26 boys on the track team.

Hope this helps!

Answer:

3x² + 1

Step-by-step explanation:

The perimeter is the sum of the exterior lengths of a polygon.

Here, the perimeter will be the sum of the lengths of the triangle. Two of them are given: 5x² + x - 4 and 3x + 2. Let's say the third side is A. Then, we know that:

P = 8x² + 4x - 1 = (5x² + x - 4) + (3x + 2) + A

On the right side, we have:

(5x² + x - 4) + (3x + 2) + A

5x² + 4x - 2 + A

This is equal to 8x² + 4x - 1:

5x² + 4x - 2 + A = 8x² + 4x - 1

Solve for A by isolating it:

A = (8x² + 4x - 1) - (5x² + 4x - 2) = 8x² + 4x - 1 - 5x² - 4x + 2 = 3x² + 1

The third side is thus 3x² - 1.

Answer:

Option (D)

Step-by-step explanation:

Function in red is,

f(x) = x²

When a function f(x) is translated h units to the left, rule to be followed,

f(x) → f(x + h)

If the function is translated 2 units left,

Translated function (in blue) will be,

g(x) = (x + 2)²

Option (D) will be the answer.

Answer:

Cheapest price is £25.38

Step-by-step explanation:

To determine the cheapest price that Sue can get the 10 rolls of wallpaper, calculate the cost of getting 10 rolls at each given price offer

=>Cost of getting 10 rolls at £9.21 per roll:

10 × £9.21 = £92.1

=>Cost of getting 10 rolls at £25.38 per pack of 3 rolls

£25.38 = 3 rolls

x = 10 rolls

x = (25.38*10)/3 = 253.8/3

10 rolls would cost x = £84.6

=>Cost of getting 10 rolls at £42.85 per pack of 5 rolls:

£42.85 = 5 rolls

x = 10 rolls

x = (10*42.85)/5 = 428.5/5

x = £85.7

From our calculation, getting 10 rolls at the price offer of £25.38 per pack of 3 rolls is the cheapest.

Therefore, the cheapest price is £25.38

Answer:

The question is incomplete. You can’t reduce 84 unless yo7 want it as a power of numbers. Most likely the question is a fraction or eqaaution

Step-by-step explanation:

Answer:

[tex]\text{2, 1, 3, 1, 1}[/tex]

Step-by-step explanation:

[tex]\text{There are a total of 8 computers and 16 school-aged children,} \\\text{therefore there must be 2 children per computer.}\\\frac{16}{8}=2 \text{ (As shown)}\\\text{The families each with 4, 2, 6, 2, 2 children should get;}\\\text{2, 1, 3, 1, 1 computers respectively.}[/tex]

Answer:

see below

Step-by-step explanation:

There are 52 cards in the deck

4 kings

P(king) = king/total = 4/52 = 1/13

replacement

52 cards , 4 queens

P(queen) = queen/total = 4/52 = 1/13

P(king, replacement, queen) = 1/13 * 1/13 =1/169

There are 52 cards in the deck

4 kings

P(king) = king/total = 4/52 = 1/13

no replacement

51 cards , 4 queens

P(queen) = queen/total = 4/51 =4/51

P(king,  no replacement, queen) = 1/13 * 4/51 =4/663

Answer:

y=9x

Step-by-step explanation:

(0,0),(1,9)

when x=0, y=0, means b=0

m is the slope =9

y=9x

Answer:

yes the answer is 9 on any question

Step-by-step explanation:

1) 2.4

2) 6.4

3) 7.7

4) 9.9

5) 2.8

Hope it helps <3

Just basic simplification, make 1 of the variable alone on one side

Step-by-step explanation:

Can you please attach the picture of the prism.

Answer:

x1 = 0.54

x2 = –6.55

Step-by-step explanation:

use the calculator

Answer:

She will need to buy 1,305 pieces of candy

Answer:

1305 pieces of candy

Step-by-step explanation:

45 pieces of candy per bag times 29 bags = 1305 pieces of candy

45 x 29 = 1305

Answer:

21

Step-by-step explanation:

The formula for triangular numbers is n×(n+1)÷2 (n is the step of next number)

we have 1, 3, 6, 10, 15 so the next step would be 6th

6×(6+1)÷2 = 21

Statement 1. [tex]\angle BCA\cong\angle DAC.[/tex]

Reason 1. Alternate interior angles formed when two parallel lines are cut by a transversal are congruent.

Statement 2. [tex]\overline{AC}\cong\overline{AC}.[/tex]

Reason 2. Reflexive congruence of segments (a segment is congruent to itself).

Statement 3. [tex]\triangle ACD \cong\triangle CAB.[/tex]

Reason 3. SAS congruence (using our two congruences above and the given congruence).

Statement 4. [tex]\angle ACD=\angle CAB.[/tex]

Reason 4. Corresponding parts of congruent triangles are congruent.

Statement 5. [tex]\overline{AB}\parallel\overline{CD}.[/tex]

Reason 5. If the alternate interior angles formed when two lines are cut by a transversal are congruent, then the lines are parallel.

Statement 6. [tex]ABCD[/tex] is a parallelogram.

Reason 6. The quadrilateral satisfies the definition of a parallelogram: a quadrilateral where both pairs of opposite sides are parallel.

Answer:

360.124 in expanded and exponential form :

300+60+1/10+2/100+4/1000

Answer:

if x>0 and y=0 the point is located on the x-axis

Answer:

x-axis on the right side

Step-by-step explanation:

the point (x,y) located on the x-axis

example x=1, y=0

Answer:

(a) 0.35

(b) 0.43

(c) 0.49

(d) 0.54

Step-by-step explanation:

The complete question is:

Find the probability of selecting none of the correct six integers in a lottery, where the order in which these integers are selected does not matter, from the positive integers not exceeding a) 40. b) 48. c) 56. d) 64.

Solution:

(a)

There are n = 40 positive integers.

Compute the probability of selecting none of the correct six integers in a lottery as follows:

[tex]P(\text{0 Correct integers})=\frac{{6\choose 0}\cdot {34\choose 6}}{{40\choose 6}}=\frac{1344904}{3838380}=0.35038\approx 0.35[/tex]

(b)

There are n = 48 positive integers.

Compute the probability of selecting none of the correct six integers in a lottery as follows:

[tex]P(\text{0 Correct integers})=\frac{{6\choose 0}\cdot {42\choose 6}}{{48\choose 6}}=\frac{5245786}{12271512}=0.42748\approx 0.43[/tex]

(c)

There are n = 56 positive integers.

Compute the probability of selecting none of the correct six integers in a lottery as follows:

[tex]P(\text{0 Correct integers})=\frac{{6\choose 0}\cdot {50\choose 6}}{{56\choose 6}}=\frac{15890700}{32468436}=0.48942\approx 0.49[/tex]

(d)

There are n = 56 positive integers.

Compute the probability of selecting none of the correct six integers in a lottery as follows:

[tex]P(\text{0 Correct integers})=\frac{{6\choose 0}\cdot {58\choose 6}}{{64\choose 6}}=\frac{40475358}{74974368}=0.53986\approx 0.54[/tex]

Probability of selecting none of the six integers in a lottery is 0.35

Assuming that number n = 40.

n = 40 as a positive integer

Probability of selecting none of the correct six integers in a lottery = C(34 , 6) / C(40 , 6)

Probability of selecting none of the correct six integers in a lottery = 1344904 / 3838380

Probability of selecting none of the correct six integers in a lottery = 0.35

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Answer:

in the last one 3+4+4×15=67

in the first if we see there are three shapes if we divide 45/3 so the value of each shape is 15

in the second there are two bananas and one shape as we know the value of shape so 23-15=8 as there are two bananas so the value of each banana is 4

in the third there are two clocks and one banana as we know the value of banana so 10-4=6 as there are two clocks so the value of each clock is 3

from above

shape=15 banana=4 and clock =3 pitting in the equation gives us the value of 67

Step-by-step explanation:

i hope this will help you :)

THIS IS THE COMPLETE QUESTION

basketball player is shooting a basketball toward the net. The height, in feet, of the ball t seconds after the shot is modeled by the equation h = 6 + 30t – 16t2. Two-tenths of a second after the shot is launched, an opposing player leaps up to block the shot. The height of the shot blocker’s outstretched hands t seconds after he leaps is modeled by the equation h = 9 + 25t – 16t2. If the ball reaches the net 1.7 seconds after the shooter launches it, does the leaping player block the shot?

Yes, exactly 0.6 seconds after the shot is launched.

Yes, between 0.64 seconds and 0.65 seconds after the shot is launched

Yes, between 0.84 seconds and 0.85 seconds after the shot is launched.

No, the shot is not blocked.

Answer:

Yes, between 0.84 seconds and 0.85 seconds after the shot is launched.

Given that the

equation for shot block height h = 9 + 25t – 16t2.

equation for ball height h = 6 + 30t – 16t2.

From the question ,it can be deducted that the shot is made before two tenths of a second or 0.2seconds

CHECK THE ATTACHMENT TO COMPLETE THE DETAILED SOLUTION

We can say that the leaping player do not block the shot and thus, the answer is it is No, the shot is not blocked.

In terms of basketball, a  shot  is known to be the act of throwing a given basketball to a hoop.

Note that in the scenario above, since the ball has reaches the net at about 1.7 seconds after the shooter launches it, We can say that the leaping player do not block the shot and thus, the answer is it is No, the shot is not blocked as it will be hard for the player to do.

See full question below:

basketball player is shooting a basketball toward the net. The height, in feet, of the ball t seconds after the shot is modeled by the equation h = 6 + 30t – 16t2. Two-tenths of a second after the shot is launched, an opposing player leaps up to block the shot. The height of the shot blocker’s outstretched hands t seconds after he leaps is modeled by the equation h = 9 + 25t – 16t2. If the ball reaches the net 1.7 seconds after the shooter launches it, does the leaping player block the shot?

Yes, exactly 0.6 seconds after the shot is launched.

Yes, between 0.64 seconds and 0.65 seconds after the shot is launched

Yes, between 0.84 seconds and 0.85 seconds after the shot is launched.

No, the shot is not blocked.

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Answer:

It's (C) But if you do it like this you get 13/6

Step-by-step explanation: