22. Determine the value of c so that the line
segment with endpoints B(2, 2) and C(9,6)
BC
is parallel to the line segment with endpoints
D(c, -7) and E(5, -3).

help is appreciated !!!

Answers

Answer 1

Answer:

If the lines BC and DE are parallel, the value of c is c=-2

Step-by-step explanation:

We are given line segment BC with end points B(2, 2) and C(9,6) and line segment DE with endpoints  D(c, -7) and E(5, -3).

Using slope formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex] we can find point c

When 2 lines are parallel there slope is same.

So, Slope of line BC =Slope of Line DE

[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have:

[tex]x_1=2, y_1=2, x_2=9, y_2=6 \ for \ line \ BC \ and \\\x_1=c, y_1=-7, x_2=5, y_2=-3 \ for \ line \ DE \[/tex]

Putting values and finding c

[tex]\frac{6-2}{9-2}=\frac{-3-(-7)}{5-c}\\ \frac{4}{7}=\frac{-3+7}{5-c} \\ \frac{4}{7}=\frac{4}{5-c} \\Cross \ multiply:\\4(5-c)=4*7\\20-4c=28\\-4c=28-20\\-4c=8\\c=\frac{8}{-4}\\c=-2[/tex]

So, If the lines BC and DE are parallel, the value of c is c=-2


Related Questions

What expression gives the distance between the points (4,6) and (7,-3)?

Answers

Answer:

[tex]\sqrt{(-3^2-6)+(7^2-4^2)}[/tex]

Step-by-step explanation:

Use the form: [tex]\sqrt{(x^2-x^1)+(y2-y1)^2[/tex]

so: [tex]\sqrt{(-3^2-6)+(7^2-4^2)}[/tex]

By the distance formula,

[tex]d = \sqrt{( x_2 - x_1) {}^{2} + (y_2 - y_1 {)}^{2} }[/tex]

Here,

[tex]x_1 = 4[/tex]

[tex]y_1 = 6[/tex]

[tex]x_2 = 7[/tex]

[tex]y_2 = - 3[/tex]

Hence,

[tex]d = \sqrt{( {7 - 4)}^{2} + {( - 3 - 6)}^{2} } [/tex]

[tex]d = \sqrt{ {3}^{2} + ( - {9)}^{2} } [/tex]

[tex]d = \sqrt{9 + 81} [/tex]

[tex]d = \sqrt{90} [/tex]

Anthony has 115 books in his room. he is storing them in boxes. Each box holds 17 books How many boxes does Anthony need?

Answers

Answer:

7 boxes

Step-by-step explanation:

The Cuevas family spends $48.73 on dinner Saturday night they leave a 18% tip. What is the tip amount they leave

Answers

Answer:

8.7714

Step-by-step explanation:

help please ive been stuck on this and i dont understand

Answers

Answer:

Step-by-step explanation:

To find the equation of a graphed line, find the y-intercept and the slope in order to write the equation in y-intercept (y=mx+b) form. Slope is the change in y over the change in x. Find two points on the line and draw a slope triangle connecting the two points. Label the legs of the triangle.

Hope this helps ?

Convert 5 gram in quintal​

Answers

Answer:

5e-5

Step-by-step explanation:

I hope that is right

factor 56-16 using the gcf

Answers

I hope it is helpful for you ...

The greatest common factor of the whole numbers 56 and 16 will be 8.

What is the greatest common factor?

Simply said, it is the biggest common element. The highest consistent element in the above example is 15, making 15 the greatest common factor amongst 15, 30, and 105. The biggest chunk of the common factors is called the "Greatest Common Factor" (of two or more numbers).

The numbers are given below.

56 and 16

The factor of the number 56 will be given as,

56 = 8 x 7

The factor of the number 16 will be given as,

16 = 8 x 2

Then the greatest common factor of the whole numbers 56 and 16 will be 8.

More about the greatest common factor link is given below.

https://brainly.com/question/11221202

#SPJ2

Is 2(6-3x)+x equivalent to 2(3x)+x?

Answers

No
2(6-3x) = 12-6x
2(3x)+x = 7x

Graph the equation -2y+12=-3x​

Answers

Answer:

UE DESMOS PLUG INTO DESMOS

Step-by-step explanation:

the website demos will help

Quadrilateral ABCD is reflected over line segment y as shown, resulting in quadrilateral TURS.

Quadrilateral A B C D is reflected over line y to form quadrilateral T U R S.

If AD 5 in., AB = 7 in., DC = 4 in., and BC = 9 in., what is TU?

4 in.
5 in.
7 in.
9 in.

Answers

Answer:

7in

Step-by-step explanation:

Triangle DEF is reflected over the y-axis, and then translated down 4 units and right 3 units.

(I searched it up)

The length of TU is 7 in.

Hence, option C is correct.

What is quadrilateral?

A quadrilateral is a shape with four sides, four vertices, and four angles that is only two dimensional. Convex and concave are the two main forms. Convex quadrilaterals can also be divided into a number of subgroups, including trapezoids, parallelograms, rectangles, rhombus, and squares.

Given that,

Quadrilateral ABCD is reflected over a line y

Hence preimage = ABCD and image = TURS

After reflection,

The new position of A = T

New position of B =U

New position of C = R and

New position of D = S

By transformation properties,

For reflection the scale factor is 1 and hence AB will have the same length as TU

Since,

AB = 7 inches,

Therefore,

TU = 7 inches.

To learn more about quadrilaterals visit:

https://brainly.com/question/11037270

#SPJ7

Misha’s hamster weighed 0.845 kilograms. About how much does it weigh, rounded to the nearest hundredth?
0.85 kilograms
0.8 kilograms
1 kilograms
0.84 kilograms

Answers

Answer: 0.85 kilograms

Step-by-step explanation:

The answer is 0.84 kilograms

Solve: 3 + √x+2 = 11

62
64
()

Answers

Answer: its 62

Step-by-step explanation:

Isolate the radical, then raise each side of the equation to the power of its index.

i need help on this one

Answers

Answer:

gfgfgfgfgfg

Step-by-step explanation:

Answer:

X= -4

Step-by-step explanation:

2x to the power of negative 1, multiplied by 4x squared equals

Answers

Answer:

=-8x^3

Step-by-step explanation:

=2x^-1×4x^2

=-2x×4x^2

=-8x^3

(2x)⁻¹ × (4x)² = 8x

2x to the power of negative 1 is represented as follows

(2x)⁻¹

The value((2x)⁻¹) multiplied by 4x squared is represented as follows

(2x)⁻¹ × (4x)²

Therefore,

(2x)⁻¹ × (4x)²  = (2x)⁻¹ × 16x²

(2x)⁻¹ × 16x²  = [tex]\frac{1}{2x}[/tex] × 16x²

[tex]\frac{1}{2x}[/tex] × 16x²  = 8x

Read more here: https://brainly.com/question/17562073?referrer=searchResults

Dose anyone know this? Like I'm confused on what to do.

4×2×(-3)+(-10)÷5​

Answers

Answer:

start with the prostheses first and the -3 and -10 together us

Step-by-step explanation:

Please

excuse

my

dear

ant

sally

Answer:

-26

Step-by-step explanation:

4×2×(-3)+(-10)÷5​

=(8)(−3)+−10/5

=−24+−10/5

=−24+−2

=−26

How many solutions does this equation have?

7h - 7h = 0

Answers

Answer:

Infinite

Step-by-step explanation:

7h-7h=0

We add all the numbers together, and all the variables

=0

h=0/1

h=0

1 point
3. A city had a population of 150,000 people in 1990. The population
growth of the city is represented by the equation p = 5t + 150, where p is
the population in thousands and t is the time in years since 1990. In what
year will the population have doubled? *
1993
2000
2020
2030
4. What type of correlation is represented by the data in the scatter plot? *
1 point

Answers

300 = 5t + 150
150 = 5t
30 = t
1990+ 30 = 2020




what is 5(3x+8) answer?

Answers

Answer:

15x + 40

Step-by-step explanation:

5(3x + 8)

Use the distributive property and multiply 5 by 3x and 8

5(3x + 8)

15x + 40

What is the image of (-9,6) after a dilation by a scale factor of 44 centered at the origin?

Answers

Answer:

(- 396, 264 )

Step-by-step explanation:

Since the dilatation is centred at the origin, then multiply each of the coordinates of the point by the scale factor, that is

(- 9, 6 ) → ( (- 9 × 44 ), (6 × 44 ) ) = ( - 396, 264 )

What are the forms of protectionism in trade?

Answers

Answer:

Tariffs

Quotas

Export subsidies

Domestic subsidies

Import licensing

Exchange controls

Financial protectionism

Murky or hidden protectionism

There are 12 inches in a foot in april mrs Harris used 32 feet of ribbon for an art club in may she used 45 feet of ribbon how many more inches of ribbon did mrs Harris use in may than April

Answers

Answer: 156 inches

Step-by-step explanation:

12 inches = 1 foot

In April, Ms Harris used 32 feet of ribbon for an art club. We will convert this to inches. This will b e:

= 32 × 12

= 384 inches

In May, she used 45 feet of ribbon . We convert to inches.

= 45 × 12

= 540 inches

We now calculate the difference in inches. This will be:

= 540 - 384 inches

= 156 inches

Help pls<---
ASAP DUE TODAY BY 9:05

Answers

Answer:covert - 2/3 to -4/6. Then after you do the math...you get -9/6....simplify that to -3/2e=-27. You then multiply -27 by the reciprocal -2/3 and the answer is 18.

Step-by-step explanation:

Eight hundred tickets are sold for a play. Thirty-five percent of those tickets were sold in advance. Which equation can be
used to find the number of tickets sold in advance?
800-8 100
O 35--8" 4.375
O
100-8 12.5
800-8100
35x8 280
800X8 6400
O
35x8 280
100x8800

Answers

Answer:

35% of 800

35% = 0.35

0.35 × 800 = 280

Your answer is 280 tickets ; 0.35 × 800

Can someone help me with the questions in the picture?

Answers

y = mx + c

13. y = 2x - 4 and goes through (1,5)

Parallel

m = 2

(The slope is the same for parallel lines)

y = 2x + c
5 = 2(1) + c
5 = 2 + c
c = 3

Answer: y = 2x + 3

Perpendicular

m = - 1/2

(The slope is the inverse and negative for perpendicular lines)

y = -1/2x + c
5 = -1/2(1) + c
5 = -1/2 + c
c = -5.5

Answer: y = 1/2x - 5.5

Try the same thing for the second question

Your should get

Parallel: y = -3x + 12
Perpendicular: y = 1/3x + 2


Below is a formula for the volume of a pyramid
V = 1/3 Bh , where B is the base area and h is the height
Solve the formula for h.
What is the height of a pyramid with base area 15 cm² and volume 45 cm?
A:1 cm
B:3 cm
С:6 cm
D:9 cm

Answers

Answer:

D

Step-by-step explanation:

Refer to the picture that givem

can someone please help me with please and thank you

Answers

Answer:

47 DEGREES

Step-by-step explanation:

AOB + BOC = 180 (STRAIGHT LINE)

THEREFORE

(3x + 124) + (6x + 29)  = 180

9x + 153 = 180

9x = 27

x = 27/9

x = 3

THEREFORE

6x + 29

(6*3) +29

18 + 29

47 DEGREES = BOC

Describe the angle as it relates to the digram
;) :)

Answers

The answer elevation /_angle B /_ V

Answer:

Step-by-step explanation:

∠4 is angle of elevation from ∠C to ∠D

Who plays Fortnite lookin for a sweaty teammate and plz what’s 638+43+53-363+43-35+737-363 times 647+647 I don’t have a calculator

Answers

Answer:

its -3959202 BTW this answer is :(

Step-by-step explanation:

6443

If the circumference of a circle is 41.8 feet, find the diameter of the circle.

Answers

Answer:

= 6.65605095

Step-by-step explanation:

Plz mark brainliest!!!

Answer:

The screenshot is the correct answer

Step-by-step explanation:

What similarity property, if any, can be used to show that the following two triangles are similar.

Answers

They both have right angles and have the same angles overall. Essentially they are the same size, one is just expanded bigger than the other. It might be dilation. The inside line so indicate the similarity in angle sizes.

Answer:

The angles

Step-by-step explanation:

On both triangles, there is a square in the corner which means that both angles are 90 degrees, and then on the left side of the triangle, there are two signs that are the sames meaning those two have the same angle measurement. Based on this knowledge I know that the last angle of the triangle must also be the same degrees since both triangles follow the same equation 90+a+b=180. I know that all angle measurements from one triangle must equal 180. So these are the same triangles with different sizes.

Hope this helps you

Directions - Convert each equation to slope intercept form.
A) 2x + 2y = 10
B) 12 + 4y = -44

Answers

Answer: y=-x+5 and y=-14 [tex]2x+2y=10 subtract 2x from both sides\\2x+2y-2x=10-2x \\2y=10-2x divide both sides by 2\\y=5-x rewriting using the commutative property\\y=-x+5[/tex]

Step-by-step explanation:

Slope Intercept form is y=mx+b

Equation A:

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