pls help ASAP for brainliest
(should have solution)​

Pls Help ASAP For Brainliest(should Have Solution)

Answers

Answer 1

Answers:    

15)  x= −1 and y=2

16)  x=2 and y= −1

Step-by-step explanation:

15) Solve the system by elimination:

Multiply the first equation by 2 and the second equation by 1.

2(8x−6y=−20)

1(−16x+7y=30)

They then become:

16x−12y=−40

−16x+7y=30

Add the two equations to eliminate x:

−5y=−10

Then solve for y by dividing both sides by -5:

−5y/−5 = −10/−5

The answer for y is y=2

Now Substitute 2 for y in the equation 8x−6y=−20:

8x−(6)(2)=−20

8x−12=−20

Add 12 to both sides:

8x−12+12=−20+12

8x=−8

Divide by 8:

8x/8 = −8/8

The answer for x is x=−1

16) Solve the system by elimination:

Multiply the second equation by 6 and merge the equations together.

(6x−12y=24)

6(−x−6y=4)

They then become:

6x−12y=24

−6x−36y=24

Add the two equations to eliminate x:

−48y=48

Then solve for y:

−48y=48

−48y/−48 = 48/−48

The answer for y is y= −1

Now substitute −1 for y in 6x−12y=24:

6x−(12)(−1)=24

6x+12=24

Add -12 to both sides:

6x+12+−12=24+−12

6x=12

6x/6 = 12/6

The answer for x is x=2

Solved! Please don't forget the Brainliest!!

Answer 2

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

Here we go ~

Problem 15.) The two equations are :

[tex] \sf \: 8x - 6y = - 20 \: \: \: \: \: \: \: - (1)[/tex][tex]\sf - 16x + 7y = 30 \: \: \: \: \: \: - (2)[/tex]

Let's multiply whole equation (1) by 2

[tex]\qquad \sf  \dashrightarrow \: 16x - 12y = - 40 \: \: \: \: \: \: - (3)[/tex]

Now, Add equation (3) and equation (2)

[tex]\qquad \sf  \dashrightarrow \: 16x - 12y - 16x + 7y = - 40 + 30[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 5y = - 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: y = - 10 \div - 5[/tex]

[tex]\qquad \sf  \dashrightarrow \: y = 2[/tex]

Plug the value of y in equation (1) :

[tex]\qquad \sf  \dashrightarrow \: 8x - 6y = - 20[/tex]

[tex]\qquad \sf  \dashrightarrow \: 8x - 6(2) = - 20[/tex]

[tex]\qquad \sf  \dashrightarrow \: 8x - 12 = - 20[/tex]

[tex]\qquad \sf  \dashrightarrow \: 8x = - 20 + 12[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = - 8 \div 8[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = - 1[/tex]

So, the required values are : x = -1 and y = 2

Problem 16.) The two equations are :

[tex] \sf 6x - 12y = 24 \: \: \: \: \: \: \: - (1)[/tex][tex] \sf - x - 6y = 4 \: \: \: \: \: \: \: \: \: \: \: - (2)[/tex]

Multiply equation (2) by 2 :

[tex]\qquad \sf  \dashrightarrow \: - 2x - 12y = 8 \: \: \: \: \: \: - (3)[/tex]

Now, subtract equation (3) from equation (1)

[tex]\qquad \sf  \dashrightarrow \: 6x - 12y - ( - 2x - 12y) = 24 - 8[/tex]

[tex]\qquad \sf  \dashrightarrow \: 6x - 12y + 2x + 12y= 16[/tex]

[tex]\qquad \sf  \dashrightarrow \: 8x = 16[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 16 \div 8[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 2[/tex]

Now, plug x = 2, in equation (2) :

[tex]\qquad \sf  \dashrightarrow \: - x - 6y = 4[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 2 - 6y = 4[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 6y = 4 + 2[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 6y = 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: y = 6 \div - 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: y = - 1[/tex]

So, the required values are : x = 2 and y = -1


Related Questions

is 0.4141... a rational number or an irrational number?

Answers

Answer:

Rational number

Step-by-step explanation:it repeats - {  4 1 4 1  }it is both non-terminating and repeating.

Answer:

It is rational, as it is both non-terminating and repeating.

hope it helps :D

If p = 10^m, q = 10^n and p^n*q^m = 100 then prove that mn=1

Answers

Answer:

Step-by-step explanation:

[tex]\displaystyle\\p=10^m;q=10^n;p^n*q^m=100\\\\p^n*q^m=(10^m)^n*(10^n)^m=10^{mn}*10^{nm}=10^{2mn}=100^{mn}=100\\\\\Rightarrow\ mn=1[/tex]

DeShawn ran 40.7 miles less than Mark (m) last week. DeShawn ran 9.3 miles. How many miles did Mark run? Do not include spaces in your answers. 20 points!!!

Answers

The number of miles that Mark ran was 50 miles.

How do we get the number of miles that Mark ran?

We can get the number of miles that Mark runs by first assigning him the figure x.

Since DeSahwn ran 40. 7 miles less than Mark, we can express this thus:

x - 40. 7 miles.

If the number of miles that DeShawn ran was 9.3 miles we can factor that into the equation as follows:

x - 40. 7 miles = 9.3 miles

x = 9.3 + 40.7

x = 50 miles.

Therefore, the total number of miles that Mark ran was 50 miles.

Learn more about distance calculations here:

https://brainly.com/question/26046491

#SPJ1

Maria has $40, which is 170% of the amount that Kelly has. How much money, in dollars, does Kelly have?

Answers

Answer:

Step-by-step explanation:

I haven't done percentages in a while but the answer after I did it would 15 dollars from where I rounded it. You multiply 15 by 270% which is 2.7 and that's the closest to 40. So Kelly would have 15 dollars.

(Fact check me math people)

Translate the sentence into an inequality.
The product of y and 5 is greater than or equal to - 20.

Answers

The product of y and 5 is greater than or equal to - 20 is 5y ≥ -20

What is an inequality?

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

In this case, the product of y and 5 is greater than or equal to - 20 will be:

(5 × y) ≥ -20

5y ≥ -20

This is the inequality.

Learn more about inequalities on:

brainly.com/question/25275758

#SPJ1

What is the slope of the line created by this equation?

Round your answer out to two decimal places.

9x+4y = 4

Answers

[tex]9x+4y=4\implies 4y=-9x+4\implies y=\cfrac{-9x+4}{4} \\\\\\ y=\cfrac{-9x}{4}+\cfrac{4}{4}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{9}{4}}x+1\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

HELP ME PLEASE DONT MIND THE DRAWING

Answers

1. Point slope form
2. y = -2x + 25

The formula for point slope form is:

y − y1 = m(x − x1), which is exactly what y-7=-2(x-9) is, as y1 is 7, m is -2 and x is 9.


To get this into slope intercept form, we have to solve for y/ isolate it.

y - 7 = -2 (x-9)

First, distribute the -2.

y - 7 = -2x + 18

Then add 7 on both sides to get rid of the -7.

+ 7 + 7

y = -2x+25

4.
This figure is made from a part of a square and a part of a circle
8
4
unit?
a
What is the perimeter of this figure, to the nearest sind?
What is the area of this figure, to the nearest square

Answers

A portion of a square and a portion of a circle were used to create this figure. The perimeter of the figure is 36.28 units.

Given that,

A portion of a square and a portion of a circle were used to create this figure.

We have to find the perimeter of the figure.

Three linear sides are measured in units of 4, 8, 8, 4.

Radius of the circular part = 4 units

Measure of a polygon's circumference equals the polygon's perimeter.

From the figure we can see,

Figure perimeter equals the sum of the lengths of the three straight lines and the circumference of the quarter circle.

Measure of linear sides = 4 + 8 + 8 + 4 = 24 units

Circumference of the quarter circle = 1/4(2πr)

=1/2×π×4

=2×π

=2×3.14

=6.28 units.

Perimeter of the figure is 30+6.28

=36.28 units.

Therefore, the perimeter of the figure is 36.28 units.

To learn more about perimeter visit: https://brainly.com/question/6465134

#SPJ13

What is the reciprocal number of 1 1 9?

Answers

Answer is 1/119

Reciprocal is the flip of a number

119 becomes 1 /119

Answer:

1/119

Step-by-step explanation:

119 is a whole number which you convert into 119/1 then the reciprical would be 1/119

A family took a road trip it takes 1/4 tank of gas to travel 1/5 of the total distance at this rate,What fraction of the total distance can the family travel using tmp tank of gas.

Answers

The answndndjdnsnsndndd is 21

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8x-20y=40

Answers

The equation of a line into slope-intercept form is represented as:

y = mx + c

where m = slope of the line

c = y-intercept of the line

On simplifying 8x - 20y = 40, the equation will be:

⇒ 2 (4x - 10y) = 2 (20)

⇒ 4x - 10y = 20

⇒ 2x - 5y = 10

⇒ 2x - 10 = 5y

⇒ 5y = 2x + (-10)

⇒ y = 2x/5 + (-10/5)

⇒ y = 2x/5 + (-2)

The slope of this line = 2/5

y-intercept of the line = -2

What is the Slope of a Line?A line's steepness is based on its slope. The slope is m in the equation y = mx + b, which is the common equation for a line. Additionally, it is frequently referred to as "rise over run," which indicates how much the y-value changes as the x-value changes.When a line advances from left to right and has a positive slope, the line rises (slopes up). When a line moves from left to right and has a negative slope, it descends (goes down).A line's slope can be determined by selecting two points from the line's graph and then providing the line's graph as input.The simplest method for doing this is to choose 2 locations on the line with integer coordinates, then add up the changes in x and y.

To learn more about the Slope of a Line, refer to:

https://brainly.com/question/16180119

#SPJ13


Has a slope of 4/5 and passes through point (-5,12)
Write equation in point slope form.

Answers

Answer:

y = (4/5)x + 16

Point-slope form:

y - 12 = (4/5)(x + 5)

Step-by-step explanation:

slope = m; (-5, 12)

m = (4/5)    (x₁, y₁)

y - y₁ = m(x - x₁)

y - 12 = (4/5)(x - (-5))

y - 12 = (4/5)(x + 5)

y - 12 = (4/5)x + 4

  +12                +12

--------------------------

y = (4/5)x + 16

I hope this helps!

Answer all questions.

Answers

1. Slope of the line is: c. -3/2.

2. (4, 0) lies on the line.

3. The angle relationship is congruent angles.

4. x = 19

5. m<A = 39

6. The angle relationship is corresponding angles.

7. a. congruent angles.

8. x = 12

9. m<A = 72°

10. m<B = 43°

What is the Slope of a Line?

The slope of a line = change in y/change in x

What are Angle Relationships?

Angle relationships is used to determine the measures of angles depending on how the two angles relate, whether they are congruent or supplementary angles. For example, corresponding angles are congruent, linear pair angles are supplementary.

1. Slope of the line that passes through (-7, 3) and (-5, 0):

Slope (m) = (3 - 0)/(-7 -(-5)) = 3/-2

Slope (m) is: c. -3/2.

2. The graph of the equation y = 1/2x - 2 is shown in the attachment, which shows that the point that lies on the line is:

(4, 0)

3. The angle relationship is congruent angles.

4. 39 = 2x + 1

39 - 1 = 2x

38 = 2x

38/2 = x

x = 19

5. m<A = 2x + 1 = 2(19) + 1

m<A = 39

6. The angle relationship is corresponding angles.

7. They are: a. congruent angles.

8. 38 = 3x + 2

38 - 2 = 3x

36 = 3x

36/3 = x

x = 12

9. m<A = 180 - 108 [supplementary angles]

m<A = 72°

10. m<B = 180 - 65 - 72

m<B = 43°

Learn more about angle relationship on:

https://brainly.com/question/12591450

#SPJ1

the length of two sides of the right triangle ABC shown in the illustration are given. I have to find the length of the third side in centimeters. a= 7 cm and b= 24 cm

Answers

we have that

Applying the Pythagorean Theorem

c^2=a^2+b^2

substitute given values

c^2=7^2+24^2

c^2=49+576

c^2=625

c=25 cm

Which of the following is a 90° counterclockwise rotation of Figure M?

Figure A

Figure B

Figure C

Figure D

Answers

Answer:

A 90-degree CCW rotation will take the points to the left. of the rotational point.

As you have provided no picture to show Figure M and its image rotations, this is as far as I can provide an answer.

Hope that helps

4 = -(x + 3) implemented as a real life problem

Answers

X = 1 because 3 plus x has to equal to 4 and 3 plus 1 equals to 4

In a group of 40
people, 22 of them
have brown hair.
What percent of
them don't have
brown hair?

Answers

Answer:

Step-by-step explanation:

Hi:

First determine those without brown hair:

40-22=18 don't have brown hair.

18/40 don't have brown hair:

Divide by 2

9/20

Multiply by 5 to get percent

45/100= 45 percent don't have brown hair

Can you please give me the name of the Math book that has this problem solving question below?

Nick's bank account balance was $21. if he writes a check for $30 and his bank charges him $35 for overdrawing his account, find his account balance

Answers

Answer:

not sure but I know the answer

Step-by-step explanation:

https://brainly.com/question/10754999

Giorgio used all the vegetables shown in the table above for his dinner.
a. How much money did his meal cost?

Answers

Considering the cost of 3 bell peppers are $2.05, 4 tomatoes are $1.09, 2 onions are $0.65 and 5 potatoes are $0.33, and Giorgio used all these vegetables for his dinner, then his meal costed a total amount of $4.45.

As per the question statement, no information about the vegetables Gorgio used for his dinner or their prices are provided in the question statement, and thus we are considering that, Gorgio used 3 bell peppers that costed $2.05, 4 tomatoes at $1.09, 2 onions at $0.65 and 5 potatoes at $0.33 in his dinner recipe.

We are required to calculate how much does Gorgio's dinner meal cost.

To solve this question, we simply have to add up the prices of the ingredients and we will obtain our desired answer.

That is, Gorgio's  meal costed a total amount of $(2.05 + 1.09 + 0.65 + 0.33)

                                                                             = $4.45

Amount: In Mathematics, amount generally refers to the summation or adding up of two or more quantities, particularly the quantity being money.

To learn more about Amounts, totals and prices, click on the link below.

https://brainly.com/question/25397997

#SPJ1  

find the areas of the figures below. can you find more than one method for each shape. a. 14m
5m
5m
3m

Answers

Answer:

points

Step-by-step explanation:

dunno gl

evaluate the function when x=3 h(x) = -x + 5

Answers

Answer:

2

Step-by-step explanation:

substitute x = 3 into h(x)

h(3) = - 3 + 5 = 2

2m ÷8m in standard form​

Answers

Answer:

1/4

Step-by-step explanation:

2m/8m = 1/4

Answer:

1/4

Step-by-step explanation:

2m ÷8m

Divide

2m

----

8m

Cancel like terms

2

---

8

Divide the top and bottom by 2

2/2

------

8/2

1

-----

4

PLS HELP 10 points plsssss now

Answers

The answer is 20 ok bra

Answer: Alternate interior angles and congruent angles.

Step-by-step explanation: The angles are formed when a line cuts two transversals, and they’re inside the two lines, meaning that they are congruent and alternate interior angles.


(I’ve also attached a helpful image from the web!)

help i need the answer quick ​

Answers

Answer:

First and Third

Step-by-step explanation:

The graphs obey the function equations but the intervals are marked incorrect in #s 2 and 4

One thing to keep in mind is that when you have a piecewise function valid on certain intervals, the circle shape denoting the beginning of the interval is very important

If it is a filled circle it denotes a ≤ (or ≥) inequality

If it is an unfilled (hollow) circle it denotes a < (or >) inequality

Looking at the second graph we see that

f(x) = -1 for -∞ < x < -1
Assuming the interval is correctly defined, that solid circle at x = -1, y = -1 should be a hollow circle not a filled circle

Similarly for f(x) = 3x² + 3, the interval is given as -1 ≤ x < ∞ but the starting circle for this interval is an unfilled circle, it should be a filled circle

A similar situation applies to the fourth choice and you should be able to figure that out yourself

Robert pays for his family to go to the arcade he pays an interest fee for his food and additional amount per game that his family plays as shown in the graph use the graph to answer 5-7

Answers

Answer:

5) ¾, The slope is ¾ since the cost increases by 3 dollars for every 4 games Robert and his family play.

6) 12, The y-intercept is 12 since Robert had to pay an entrance fee of 12 dollars in order to enter the arcade.

7) y=¾x+12

Write the sentence as an absolute value inequality, then solve the inequality.


Twice a number n is no less than 10 units from −1.

Answers

An inequality  | 2n -(- 1) | ≥ 10

                          | 2n + 1 | ≥ 10

after solving the inequality we get the value of n, n ≥  4.5  and n  ≤ - 5.5                                          

According to the question, given that

An inequality which has twice a number n is no less than 10 units from −1.

then inequality : | 2n -(- 1) | ≥ 10

                             | 2n + 1 | ≥ 10

So, 2n + 1 ≥ 10                   or              2n + 1  ≤ - 10

    2n  ≥  10 - 1                                      2n  ≤ - 10 - 1

    2n ≥  9                                              2n  ≤ - 11

    n ≥  4.5                                               n  ≤ - 5.5

Therefore, we get the value n, n ≥  4.5 and n =  ≤ - 5.5  after solving inequality.

Algebraic expressions are contrasted in a mathematical statement known as an inequality using the greater-than (>), less-than (), and other inequality symbols. A pair of inequalities connected by and or or form a compound inequality. In this lesson, linear and compound inequalities in one variable will be resolved using the properties of inequalities. After this, the study of absolute-value equations and inequalities continues.

To learn more about inequality visit here : brainly.com/question/20383699

#SPJ1

Two thirds of the employees at an office stated that they preferred soft cookies over crispy cookies. More than 36 employees stated their preference. Ren was asked to write, solve, and graph an inequality to find the number of employees working at the office. His work is shown below.

Step
Ren’s work

Step 1

Two-thirds x less-than 36

Step 2

x less-than 54

Step 3
A number line going from 51 to 57. An open circle is at 54. Everything to the left of the circle is shaded.


Where, if any, did Ren first make a mistake in his work?
Step 1
Step 2
Step 3
No mistake found

Answers

Answer: Ren first make a mistake in his work at step 1

Step-by-step explanation:

Step 1 :     2x/3   <   36 Step 2  :     x   <   54Step 3  :  

 A number line going from 51 to 57. An open circle is at 54. Everything to the left of the circle is shadedMistake is in 1st step it self which is cascaded in further stepsCorrect would be 2x/3   > 36  as more than 36 employees stated their preference  hence 2x/3 must be greater than 36

Answer: Its a correct me if i'm wrong

Step-by-step explanation:

Determine the parent function.

Answers

Answer:

Determine the Parent Function: y=x

I verified with a graphing calculator: Demsos. y=x^3 will cross intercepts (x) which is not the parent function and y=1/x is a rational function that is not the parent function that is being asked for.

20 rabbits are captured and marked. two weeks later, 12 rabbits are recaptured. of these 12 only 5 are marked. what is the estimated population? show all work for credit.

Answers

The estimated population is found to be 48 rabbits

The estimated population, P is determined by using the following formula:

[tex]P=T_{F} *T_{L} /M[/tex]

P=estimated population

[tex]T_{F}[/tex]=total animals captured in first trapping

M=recaptured animals that are marked

[tex]T_{L}[/tex]=total animals captured in a later trapping

From the question, [tex]T_{F}[/tex]=20 rabbits, M=5 rabbits, [tex]T_{L}[/tex]=12

P=20*12/5

P=240/5

P=48 rabbits

Hence, the estimated population is 48 rabbits

Learn more about the estimated population here:

https://brainly.com/question/22479866

#SPJ4

Solve for a10a7a =✓ [?]Pythagorean Theorem: a b = c2

Answers

In order to calculate the value of 'a', we can use the Pythagorean theorem, where the hypotenuse squared is equal the sum of each leg squared:

[tex]h^2=l^2_1+l^2_2[/tex]

In this case, the hypotenuse is 10 and the legs are 'a' and 7, so we have:

[tex]\begin{gathered} 10^2=a^2+7^2 \\ 100=a^2+49 \\ a^2=100-49 \\ a^2=51 \\ a=\sqrt[]{51} \end{gathered}[/tex]

So the value of 'a' is √51.

Other Questions
You can try this one for size.(make the sentence imperative) Which of the following sentences is the best connotation for the word"YELLOW"Mary loves the color YELLOW because it reminds her of sunshineThe cream paint my grandmother's room was beginning to YELLOWThe two-faced cheater was nothing but a YELLOW snitch.None of theseall of these* 1 point ___ is created by questioning a sample of consumers about their perceptions of products, brands and organizations with respect to two or more dimensions. A line passes through the point (10, 4) and has a slope of 3/2. Write an equation in slope-intercept form for this line. What problems (social, political, and economical) come with a balanced population pyramid? 1. In 2014, the population of Florida was 19,580,000. Write the 2014 population of Florida in scientific notation. if a small country imposes a tariff, then group of answer choices the world price on that item will shift. the producers must suffer a loss. the consumers must suffer a loss. the government revenue must suffer a loss. the demand curve must shift to the left. I WILL GIVE BRAINLY PLS ANSWER QUICK!!!!!!!! Which is the correctly balanced equation for the reaction of rust, FeO3, and hydrochloric acid, HCI? O FeO3 + HCI- FeCl + HO O FeO3 +3 HCI - 2 FeCl + HO O FeO3 +6 HCI - 2 FeCl3 + 3 HO O FeO3 +3 HCI - 2 FeCl + 3 HO Stella measured a line to be 12.4 inches long. If the actual length of the line is 9.6 inches, then what was the percent error of the measurement, to the nearest tenth of a percent? write a while loop that reads integers from input and calculates integer finalnum as follows: if the input is divisible by 5, add the input divided by 5 to finalnum. otherwise, subtract the input multiplied by 5 from finalnum. the loop iterates until a negative integer is read. ex: if the input is 15 11 5 -3, then the output is: final number is -31 note: x % 5 Jan wants to create the perpendicular bisector of line segment AB.She places her compass on point A and opens it with the width equal to the length of the line segment AB. She makes arcs above and below the line segment.What could be Jan's next step to create the perpendicular bisector of line segment AB?A. place the compass on the approximate midpoint and draw intersecting arcsB. connect each arc with point B using a straightedgeC. connect the two arcs using a straight edgeD. place the compass on point B and complete the same steps that she did for point A help meeeeeeeeee pleaseee Roland needs 8 8 sheets of fabric that are each 45 4 5 yard long. use the drop-down menus to complete the equation. clear check 8 8 sheets4 4 yards per sheet = = yards 5 5 0.51 + 6.1 = 6.61 because 0.51 is precise to the hundredth digit, so theanswer must also be rounded to the nearest hundredth.A. TrueB. False 18) Choose the pair of words that completes each analogy. Use a dictionary as needed tohelp you with unfamiliar words.scalpel:incision:: A monster cookie recipe calls for 2 cups of chocolate chips, 1 cup of nuts and 3 cups of oatmeal. Mary has 9 cups each of oatmeal, chocolate chips, and nuts. If Mary repeats this exact recipe as many times as possible, how many cups of chocolate chips will she use? A. 2 cups B. 4 cups C. 6 cups D. 8 cups I need urgent help with this math problem, please help me! John had k dollars to begin with. He just spent 34 dollars. Using k, write an expression for the number of dollars he has left. Which of the following is a technique to achieve the illusion of forms projecting into space? A. chiaroscuro B. composition C. foreshortening