Parametric Equations
1.
Anytown High School is planning a play. The script calls for two characters to meet on stage.
Lauren starts at the point (0 feet, 6 feet) and travels horizontally at a rate of 1 foot per second.
Alex starts at the point (4 feet, 0 feet) and travels vertically at a rate of 2 feet per second. If
Alex and Lauren start wa lking at the same time, will they meet?

Answer:

IK = 13.5

Step-by-step explanation:

A^2 + B^2 = C^2

(8.4)^2 + B^2 = (15.9)^2

70.56 + B^2 = 252.81

B^2 = 182.25

B =13.49925... ≈ 13.5 = IK

Answer:

Y ≥(greater than or equal to) R or Y ≤(less than or equal to) R

The phrase at least means about equal to, represented by that sign. In this case, equal to, because x + y = 16 total since she spent 16 hours cooking and cleaning. That would mean they both have to equal 8 to get 16. You can also do 10 + 6 to get 16. There are a few more solutions after this you can try, which I will not list at the moment.

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Ask in the comments box.

Answer:

look at analysis

Step-by-step explanation:

11. 23.81

12.

part A

y is 12 and x is 4

part B

4

part C

5×12×4

240

Answer:

Let's first try to find the angle supplementary to measure 141°.

(Supplementary angles are two angles that add up together to equal 180°).

Set up an equation;

141 + x(unknown angle measure) = 180°

Solve for x:-

141 + x = 180

-141        -141

x = 39°.

Now that we've found one of the interior angles measure to this triangle, we will use this value to figure out the angle measure next to 'x'.

If we think of the line (highlighted in the picture I attached to this), extended, we can kind of make out of this line as a transversal cutting into the two parallel lines(L & M).

Furthermore, the measured angle 39°, is an alternate interior angle with the missing angle next to 'x'(highlighted with yellow in my picture).

And, alternate interior angles are congruent(meaning they measure the same degree).

Therefore, we can infer that the missing angle next to 'x' is also 39°.

Now that we've found one angle measure and another angle(given) next to x, we can see that angle x and those two angle measures (48° and 39°) combined are supplementary!

So now that we know that angles 48° and 39° are supplementary with x, we can find the value of x by finding it's supplement value!

Arrange an equation;

(48 + 39) + x = 180°

Simplify and solve for x:-

87 + x = 180

-87        -87

x = 93°, hence ∠X = 93°.

Answer:

Interest = 2000

Total = 4000

Step-by-step explanation:

The formula to find interest:

Interest = Original Amount x Rate x Time.

Substitute the numbers into the formula.

I = 2000 x 0.05 x 20

You must change the percentage to a decimal.

Solve for I

I = 2000 x 0.05 x 20 = 100 x 20 = 2000

The interest is $2,000. To find the amount in total after 20 years, add the interest with the original amount.

2000 + 2000 = 4000

I hope this helps and please mark me as brainliest!

Answer:

Step-by-step explanation:

Let the Beth's score is x.

The average is 80.

Solve the following equation:

Beth's score was 75

Answer:

The first one should belong in the 54x+18 due to multiplication

The second answer choice has distributive property which has to belong in the 54x+18 category

The third answer choice fits into the 6 times 9x + 6 times one category due to multiplication like the first answer choice.

The last one should be in the 54x+18 category because of the distributive property

Step-by-step explanation:

The Objectives: 54x+18 and (6(9x) + 6

The first one should belong in the 54x+18 due to multiplication

The second answer choice has distributive property which has to belong in the 54x+18 category

The third answer choice fits into the 6 times 9x + 6 times one category due to multiplication like the first answer choice.

The last one should be in the 54x+18 category because of the distributive property

Similar triangles are those triangles whose corresponding sides are in the same ratio. The measure of m is 6√4.

Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same.

In the given triangles ΔABC and ΔBCD,

∠ACB = ∠DCB {Common Angles}

∠BDC = ∠ABC =90°

Therefore, the two triangles are so, for triangles.

(6+24)/BC = m/n = BC/24

BC² = 30×24

BC = √720

Now, using the Pythagorean theorem,

AC² = AB² + BC²

30² = m² + (√720)²

900 = m² + 720

180 = m²

m = 6√4

Hence, the measure of m is 6√4.

Learn more about Similar Triangles:

https://brainly.com/question/25882965

#SPJ2

Answer:

26

Step-by-step explanation:

simply count the number of times the team scored more than 50 points by looking at the graph.

the team scored 51-60 points 11 times, 61-70 points 12 times and 71-80 points 3 times.

so the team scored more than 5 points a total of 11 + 12 + 3 = 26 times

Answer:

26

Step-by-step explanation:

Game scores above 50 points can be represented by the last three boxes to the left. To find the total number of times this happened, add up the values measured by the y-axis:

51-60 = 11 games

61-70 = 12 games

71-80 = 3 games

11 + 12 + 3 = 26

I hope this helps!

Answer:

250 degrees

Step-by-step explanation:

180-55 = 125

360-125= 250

Answer:

see explanation

Step-by-step explanation:

(a)

5% of N 80000

= [tex]\frac{5}{100}[/tex] × 80000

= 0.05 × 80000

= N4000 ← VAT

(b)

total cost = 80000 + 4000 = N84000

The domain of the function is [-2, 2) while the range is [4, 2) (along the y -axis).

The domain of a function is the input value for which the function exists while the range is the output value for which the function exists.

For the graph, the domain lie across the x-axis. The domain of the function is [-2, 2) while the range is [4, 2) (along the y -axis).

Note that point where the circles are shaded shows a closed interval

Learn more on domain and range here: https://brainly.com/question/1942755

Answer:

35.70

Step-by-step explanation:

because 15% of 42 is 6.3 and 6.3 - 42 = 35.70

blue stars. let’s talk a bit about temperature. The color of a star is a function of its temperature. If a star looks red, that means its surface temperature is approximately 2,500 Kelvin. Just for comparison, our Sun, which actually looks white from space, measures about 6,000 Kelvin. The hotter the star, the further up the spectrum you go. The hottest stars are the blue stars. A star appears blue once its surface temperature gets above 10,000 Kelvin, or so, a star will appear blue to our eyes.

Answer:

y = 3/2x - 9

Step-by-step explanation:

Finding equation of line m

Equation of line n

Answer:

[tex]\textsf{Equation of line n}:\quad y=\dfrac32x-9[/tex]

Step-by-step explanation:

Equation of line m

If two lines are perpendicular to each other, the product of their slopes will be -1.

The slope of the line [tex]y=-\dfrac23x+6[/tex] is [tex]-\dfrac23[/tex]

Therefore, the slope of the line m is:

[tex]\implies m \times -\dfrac23=-1[/tex]

[tex]\implies m=\dfrac32[/tex]

If line m passes through point (-2, -1), then the equation of line m is:

[tex]\implies y-(-1)=\dfrac32(x-(-2))[/tex]

[tex]\implies y+1=\dfrac32(x+2)[/tex]

[tex]\implies y=\dfrac32x+2[/tex]

Equation of line n

If line n is parallel to line m, then they will have the same slope.

Therefore, slope of line n is [tex]\frac32[/tex]

If line n passes through point (4, -3), then the equation of line n is:

[tex]\implies y-(-3)=\dfrac32(x-4)[/tex]

[tex]\implies y+3=\dfrac32x-6[/tex]

[tex]\implies y=\dfrac32x-9[/tex]

Answer:

y = -x - 4

Step-by-step explanation:

m = (-5-0)/(1+4) = -5/5 = -1

b = (0, -4)

y = mx + b

y = -x - 4

Answer:

y = -x - 4

Step-by-step explanation:

Slope-intercept form is:

y = mx + b

The b is the y-intercept. That is where the line crosses the y-axis. This line crosses the y-axis at -4.

You could calculate the slope, but with a graph, you can SEE the slope without doing any calculation. Find a point on the line, any point. To get to the next point, you go DOWN1 and OVER1, (down1, over1, down1, over1)

This is -1/1. The slope is -1. Fill that in for m.

Leave the x and y as-is in

y = mx + b

fill in -1 for m and -4 for b.

y = -x - 4

If your teacher/prof is expecting to see a calc for slope. Find two points on the line. Subtract y-y and put that on top. Subtract x-x and put that on the bottom. Simplify.

Given points:

(1,-5) and (-4,0)

-5 - 0 is -5, put on top.

1 - -4 is 5, put underneath. You get -5/5, which is -1. Slope is -1.

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[tex]Substitute\ x=4\ into\\ f(x)=7x^2+4x-6[/tex]

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[tex]f(4)=7\times 4^2+4\times 4-6[/tex]

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[tex]f(4)=7\times 16+4\times 4-6[/tex]

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[tex]f(4)=112+4\times 4-6\\ f(4)=112+16-6[/tex]

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[tex]f(4)=128-6\\ f(4)=122[/tex]

I hope this helps you

:)

Step-by-step explanation:

8 pieces = 220 colories

1 piece = 220/8 = 27.5 calories

Answer:

27.5

Step-by-step explanation:

8 divided by 220 = 27.5

Sorry about the fisrts time i put the 8 in frunt and 220 in the back so it was all back werds Sorry about that

And Hope This Helps

Answer:

  has its vertex below the x-axis

Step-by-step explanation:

In the vertex form equation for a parabola, the parameter k is the y-coordinate of the vertex.

__

When k is negative, the parabola has its vertex located below the x-axis.

Answer:

x = 3

Step-by-step explanation:

In [tex]\triangle ABC,\: DE||AC[/tex]

[tex]\implies [/tex]By Basic Proportionality Theorem:

[tex]\frac{BD}{DA}=\frac{BE}{EC} \\ \\ \implies \: \frac{x + 5}{2x} = \frac{4}{3} \\ \\ \implies \: 3(x + 5) = 4(2x)\\ \\ \implies \: 3x +15 = 8x \\ \\ \implies \: 3x - 8x = - 15 \\ \\ \implies \: - 5x = - 15 \\ \\ \implies \: x = \frac{ - 15}{ - 5} \\ \\ \implies \: x = 3[/tex]

Answer:

x=55°

Step-by-step explanation:

180_70( radii,sum of ^'s of a ∆)

=110

110%2(^at centre=2×^at the circum)

x=55°

Answer:

64.65

Step-by-step explanation:

153.25 - 88.60 = 64.65

88.60 + 64.65 = 153.25

Answer:

64.65

Step-by-step explanation:

153.25 - 88.60 = 64.65

64.65 + 88.60 = 153.25

Answer:

1080 seconds.

Step-by-step explanation:

There are 60 seconds in a minute. As provided in the question, Lillian spent eighteen minutes, so 18x60=1080.

Answer:

1,080 seconds

Step-by-step explanation:

Answer:C is the right answer

Step-by-step explanation:

Answer:

29 inches

Step-by-step explanation:

add all the sides

11+4+3+4+7=29

Answer:

29 inches

Step-by-step explanation:

⇒ Perimeter = Sum of the lengths of the sides

⇒ P = 11 + 4 + 3 + 4 + 7

⇒ P = 18 + 11

⇒ P = 29 inches

Answer:

The correct answer is D.

4, 5, and 7

1, 3, and 8

2, 4, and 7.

Hope this helps you czn!!!!!

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Answer: the correct answer is d .

4,5 and 7

1,3 and 8

2,4 and 7

Step-by-step explanation: I HOPE IT HELPS YOU BUDDY . PLEASE GIVE BRAINLIEST .THANKS .

Answer:

x° = 68°

Step-by-step explanation:

angle EGB = x° = angle AGF = complementary angle of 22°

The complementary angle of 22° is :

[tex]x^{o} =(90-22)^{o} =68^{o}[/tex]

Hope this helps

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve for x ~

[tex]\qquad \tt \dashrightarrow \:4 = ax - 14[/tex]

[tex]\qquad \tt \dashrightarrow \:ax = 4 + 14[/tex]

[tex]\qquad \tt \dashrightarrow \:ax = 18[/tex]

[tex]\qquad \tt \dashrightarrow \:x = \dfrac{18}{a}[/tex]

Answer:1/2

Step-by-step explanation: after giving some to her brother she has 5/6 left to take 1/3 from that you need to make it have a common denominator. to do that multiply it by 2 so you get 2/6. then do 5/6-2/6=3/6. 3/6 simplied is 1/2.