Unit 2 Show Your Work, BYU Geometry Part 1

Step-by-step explanation:

[tex] = 0,43[/tex]

[tex] = \frac{0,43}{1} [/tex]

[tex] = \frac{0,43}{1} \times \frac{100}{100} [/tex]

[tex] = \frac{43}{100} [/tex]

The correct answer is option C which is 3.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The given expression will be solved as follows:-

E = 3( x² +6 -3x)- ( 2x² - 8 ) +3(x² + 4x )

E = 3x²+18-9x-2x²+8+3x²+12x

E= 4x² +3x+8

We can see the coefficient of x is 3.

Therefore the correct answer is option C which is 3.

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Answer:

The slope of line p is 3 and the slope of line q is -3

Answer:

90

Step-by-step explanation:

Add up all the numbers in the data set and divide that number by the amount of numbers in the data set

85 + 97 + 84 + 88 + 95 + 100 + 81 = 630

630/7 = 90

The number of people who can go to the amusement park is 8.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given: the group of friends had $280.

For parking=  $19.50

Remaining will be,

=$(280-19.50)

= $ 260.5

Cost of ticket per person = $33.75

Thus, number of tickets they can buy

=260.5 / 33.75

=7.718 = 8 peoples

Hence, number of people who can go to the amusement park is 8.

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Answer:

335.16 ft

Step-by-step explanation:

Answer:

12 :D

Step-by-step explanation:

First we substitute all x's for -2 :)

f(-2)=−-2^3−3(-2)^2+8

Now we solve :)

f(-2)=−-2^3−3(-2)^2+8

f(-2)=− -8 −3(-2)^2 + 8

f(-2) = -8 - 3(-4) + 8

f(-2) = - 8 + 12 + 8

f(-2) = 4 + 8

f(-2) = 12 :)

f will equal 12 :)

Have an amazing day!!

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Step-by-step explanation:

I have done it go and check it once

Answer:

c

Step-by-step explanation:

Answer:

It's the first option: -5, 1 and 4

What must have motivated the behavior of the Investor to commit to such a large stock is; Option C: High Total Earnings

A) Low real returns; This cannot be his motivation to buy large shares because real return is what is earned on an investment after accounting for taxes and inflation. Thus, the lower, the less encouraging to investors.

B) Higher shares costs; This only means that the share cost is currently high which indicates strength of the company but it does not guarantee that it will scale up at a very fast rate again.

C) High total earnings; Thus would be an encouragement to the investor because the higher the total earning potential of an investment, the more the profitability and the more attractive to others.

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Medical practitioners recommend losing around 365 pounds or 730 pounds per year.

An equation is an expression that shows the relationship between two or more numbers and variables.

Medical practitioners recommend losing around 1–2 pounds (0.5–0.9 kg) per week.

Hence for a year:

Amount of weight loss = (1 * 365) or (2 * 365)

Medical practitioners recommend losing around 365 pounds or 730 pounds per year.

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Answer:

A = -1

B = -3

C = -7

Step-by-step explanation:

See attached image.

The statements that would complete the proof where ∠2 ≅ ∠7 by the transitive property are:

∠2 ≅ ∠3

∠3 ≅ ∠7

The transitive property states that if x = y, and y = z, then x = z.

From the image given below, we have:

∠2 ≅ ∠3 because they are vertical angles which must be congruent.

∠3 ≅ ∠7 because corresponding angles are congruent.

Applying the transitive property, we can state that: ∠2 ≅ ∠7.

Therefore, the statements that would complete the proof are:

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Answer:

y = 90 -5/2 x

Step-by-step explanation:

The angle on the left equals x+3x+x = 5x

The angle on the right equals 2y

The two angles are same side interior angles which are supplementary because the lines are parallel

5x+2y = 180

Solving for y

2y = 180-5x

Divide by 2

2y/2 = 180/2 -5x/2

y = 90 -5/2 x

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

The two lines are parallel, henceforth we can apply Angle pair rules.

[tex]\qquad \tt \rightarrow \:(x + 3x + x) + 2y = 180[/tex]

[ Co - interior angles ]

[tex]\qquad \tt \rightarrow \:5x + 2y = 180[/tex]

[tex]\qquad \tt \rightarrow \:2y = 180 - 5x[/tex]

[tex]\qquad \tt \rightarrow \:y = \dfrac{180 - 5x}{2} [/tex]

[tex]\qquad \tt \rightarrow \:y = \cfrac{180 }{2} - \cfrac{5x}{2} [/tex]

[tex]\qquad \tt \rightarrow \:y = 90 \degree - \cfrac{5x}{2} [/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

4/9 miles

Step-by-step explanation:

                 [tex]\sf Area = \dfrac{2}{3} \ square \ miles\\[/tex]

               [tex]\sf length = 1\dfrac{1}{2}=\dfrac{3}{2} \ miles[/tex]

[tex]\sf Width \ of \ rectangle = \dfrac{Area}{length}[/tex]

                             [tex]\sf = \dfrac{2}{3} \div \ \dfrac{3}{2}\\\\ =\dfrac{2}{3}*\dfrac{2}{3}\\\\ =\dfrac{4}{9} \ miles\\[/tex]

Use KCF method for faction division.

K- Keep the first fraction.

C - Change the division to multiplication.

F - Flip the second fraction.

The true statements are:

The lines are given as:

Lines mn, pq, mp, mn, nq and pq

From the question, the lines are either parallel lines or perpendicular lines

As a general rule,

Parallel lines have equal slope

This means that:

Lines mn and pq have the same slope

Assume two perpendicular lines have slopes m and n.

The relationship between their slopes is:

m * n = -1

This means that:

The product of the slopes of perpendicular lines mn and mp is -1

Hence, the true statements are (a) and (c)

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Complete question

Line mn is parallel to line pq, mp is perpendicular to mn, and nq is perpendicular to pq. consider each statement and determine whether it is true or false. circle the correct answer.

Pptions:

Answer:

as we know that in cricket there is use of tan while doing bating

Part 1

Using the distance formula,

[tex]AB=\sqrt{(-2-1)^{2}+(2-7)^{2}}=\sqrt{34}\\\\BC=\sqrt{(-2-4)^{2}+(2-2)^{2}}=6\\\\AC=\sqrt{(1-4)^{2}+(7-2)^{2}}=\sqrt{34}[/tex]

So, the measure of the longest side is 6 units.

Part 2

Triangle ABD will have vertices A(1,7), B(-2, 2), and D(1,2).

We already know that [tex]AB=\sqrt{34}[/tex]

Using the distance formula,

[tex]AD=\sqrt{(1-1)^{2}+(7-2)^{2}}=5\\\\BD=\sqrt{(-2-1)^{2}+(2-2)^{2}}=3[/tex]

So, ABD is a scalene triangle.

Part 3

From part 2, we know that the length of side AD is 5 units.

A rise of 8 and a run of 6. Then the correct option is B.

Coordinate geometry is the study of geometry using the points in space.

On a coordinate plane, a right triangle has points A (-5, -6), B (-5, -2), and C (-2, -2).

The distance between AB will be

AB² = (-5 + 5)² + (-2 + 4)²

AB² = 4²

AB = 4

The distance between BC will be

BC² = (-2 + 5)² + (-2 + 2)²

BC² = 3²

 BC = 3

Then the rise and run will be

rise / run = 4 / 3

Then this can be written as

rise / run = 8 / 6

Then the correct option is B.

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Answer:

cos B = 0.4706

Step-by-step explanation:

The cosine of an angle in a right-angled triangle is the ratio of its adjacent side and the hypotenuse, so:

 [tex]cos B = \frac{adjacent}{hypotenuse}\\\\cos B = \frac{8}{17} \\\\cos B = 0.4706[/tex]

Option B

C. y= |x-5|

you have the right idea, it's being shifted horizontally so the shift would be shown inside of the brackets. However, it would be |x-5| not |x+5| because the graph is shifting to the right.

Answer:

0.6

Step-by-step explanation:

You can literally put 3/5 into a calculator and you would get the answer 0.6, so I don't know what else to say. Whoever asked you this question, give them the above answer ask them what they were on, because the person was probably way high on LSD.

Using an exponential function, it is found that the substance is 7,535 years old.

The function is given by:

[tex]A(t) = A(0)e^{-kt}[/tex]

In which:

Carbon-14 has a half life of 5700 years, that is, A(5700) = 0.5A(0), hence we use this to find k.

[tex]A(t) = A(0)e^{-kt}[/tex]

[tex]0.5A(0) = A(0)e^{-5700k}[/tex]

[tex]e^{-5700k} = 0.5[/tex]

[tex]\ln{e^{-5700k}} = \ln{0.5}[/tex]

[tex]k = -\frac{\ln{0.5}}{5700}[/tex]

k = 0.00012160476

Hence:

[tex]A(t) = A(0)e^{-0.00012160476t}[/tex]

It was 40% of the amount when A(t) = 0.4A(0), hence we solve for t.

[tex]A(t) = A(0)e^{-0.00012160476t}[/tex]

[tex]0.4A(0) = A(0)e^{-0.00012160476t}[/tex]

[tex]\ln{e^{-0.00012160476t}} = \ln{0.4}[/tex]

[tex]t = -\frac{\ln{0.4}}{0.00012160476}[/tex]

t = 7535.

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Answer:

9/2 or 6/2

Step-by-step explanation:

The sum of nine should be amended by adding 6 + 2 +1 = 9

so when adding these numbers you will get the sum of 9

[tex]\bullet\:{\boxed{\tt{\red{{Given :}}}}}[/tex]

• Length of the wooden box [tex](l)[/tex] = 80cm.

• Breadth of the wooden box [tex](b)[/tex] = 40cm.

• Height of the wooden box [tex](h)[/tex] = 20cm.

• Side of the square sheet paper = 40cm.

[tex]\bullet\:{\boxed{\tt{\red{{To : Find :}}}}}[/tex]

The number of sheets required.

[tex] \bullet\:{\boxed{\tt{\red{{Formula \: \: used :}}}}}[/tex]

[tex] \star{\underline{\boxed{{\sf{{{TSA}} = \underline{\underline{{\purple\sf 2(lb+bh+hl)}}}}}}}} \star[/tex]

[tex]\star{\underline{\boxed{{\sf{{{Area \: of \: square}} = \underline{\underline{{\purple{\sf side \times side }}}}}}}}}\star[/tex]

[tex]\star{\underline{\boxed{{\sf{{{Number \: of \: sheets \: required} = {{{\purple{\sf \dfrac{TSA}{area \: of \: one \: sheet}}}}}}}}}}} \star[/tex]

[tex] \bullet\:{\boxed{\tt{\red{{Concept :}}}}}[/tex]

As Quayleen wants to place the tree on a wooden block covered with coloured paper with picture of Santa Claus on it. So for knowing the number of sheets required, we need two things one the TSA and Area of one sheet. Once, we will get the values we will divide them to get the answer. Let's Start !!

[tex] \bullet\:{\boxed{\tt{\red{{Solution :}}}}}[/tex]

As we know that ::

Total surface area of cuboid [tex]\large[ \sf 2(lb+bh + hl)][/tex]

Here,

✧ Length [tex](l)[/tex] = 80cm

✧ Breadth [tex](b)[/tex] = 40cm

✧ Height [tex](h)[/tex] = 20cm

Now, by putting the values we get :

[tex] \longrightarrow 2 \bigg[ (80 \times 40) + (40 \times 20) + (20 \times 80) \bigg]\sf {cm}^{2}[/tex]

[tex]\longrightarrow 2 \bigg[ (3200) + (800) + (1600) \bigg] \sf {cm}^{2} [/tex]

[tex] \longrightarrow 2 \bigg[ 5600 \bigg] \sf {cm}^{2} [/tex]

[tex] \longrightarrow 11200 \: \sf {cm}^{2}[/tex]

Hence, the total surface area of the wooden box is 11200 cm²

Now,

The area of each sheet of paper will be :

[tex] \sf \longrightarrow side \times side[/tex]

[tex]\sf \longrightarrow (40 \times 40) \: {cm}^{2} [/tex]

[tex]\longrightarrow \sf (1600) \: {cm}^{2} [/tex]

Hence, the area of each sheet of paper is 1600 cm²

Now,

For finding the number of sheets required

[tex] \longrightarrow \tt \dfrac{total \: surface \: area \: of \: box}{ area \: of \: one \: sheet} [/tex]

[tex]\longrightarrow \sf\dfrac{ \cancel{11200}_{7}}{\cancel{1600}_{1}}[/tex]

[tex] \longrightarrow \purple{ \sf 7}[/tex]

Therefore, Quayleen requires 7 sheets.

[tex]\rule{280pt}{2pt}[/tex]

The missing words to complete the proof are respectively; Vertical Angles; Corresponding angles; Transitive Property

The image of the transversal line is attached.

1) We know that lines a and b are parallel and that line c is a transversal because that is given.

2) We can tell that angles 2 and 5 are congruent because vertical angles are congruent.

3) Angles 5 and 7 are congruent because corresponding angles by parallel lines cut by a transversal are congruent.

4) Therefore, angles 2 and 7 are congruent based on the transitive property.

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Answer: vertical, corresponding, and transitive property

Step-by-step explanation: I got the correct answer on Edge 2022. The answer is correct trust me! Proof is shown down below.

The function g(x) gets shifted toward right by 6 units. Then the correct option is C.

The complete question is attached below.

Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as

y = a(b)ˣ

The function f(x) is given below.

f(x) = 10ˣ

And the function g(x) is given as

g(x) = f(x – 6)

Then the function can be written as

[tex]\rm g(x) = 10^{x - 6}[/tex]

The function g(x) gets shifted toward right by 6 units.

Then the correct option is C.

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The given quadratic equation is

[tex]2 {x}^{2} - x - 3 = 0[/tex]

comparing with

[tex] {ax}^{2} + bx + c = 0[/tex]

We get ,

[tex]a = 2 \\ b = - 1 \\ c = - 3[/tex]

formula :

[tex]D = {b}^{2} - 4ac \\ \\ D = {( - 1)}^{2} - 4 \times 2 \times ( - 3) \\ \\ D = 1 - ( - 24) \\ \\D = 1 + 24 \\ \\D = 25.[/tex]

Discriminant of given quadratic equation is 25 .

option (B) 25 ✔

Answer: [tex]x=65^{\circ}, y=65^{\circ}, z=65^{\circ}[/tex]

Step-by-step explanation:

All radii of a circle are congruent, so by the base angles theorem

Also, angles x and y are inscribed in the same arc, and they are thus congruent, meaning x = 65.