A graph is shown with x- and y-axes labeled from 0 to 6 at increments of 1. A straight line labeled A joins the ordered pair 2, 6 with the ordered pair 5, 0. Another straight line labeled B joins the ordered pair 0, 2 with the ordered pair 6, 6.

Part A: How many solutions does the pair of equations for lines A and B have? Explain your answer. (5 points)

Part B: What is the solution to the equations of lines A and B? Explain your answer. (5 points)

Answers

Answer 1

Answer:

A. one  B. (3, 4)

Step-by-step explanation:

1. A good graph can answer both parts (see attached image).

2. Write equations for the two lines and find a simultaneous solution.

Line A:  Slope from (2, 6) to (5, 0) is [tex]m=\frac{6-0}{2-5}=\frac{6}{-3}=-2[/tex]

Using point-slope form [tex]y-y_1=m(x-x_1)[/tex]

[tex]y-6=-2(x-2)\\y-6=-2x+4\\y=-2x+10[/tex]

Line B:  Slopt from (6, 6) to (0, 2) is [tex]m=\frac{6-2}{6-0}=\frac{2}{3}[/tex]

Using point-slope form, the equation for Line B is

[tex]y-2=\frac{2}{3}(x-0)\\y=\frac{2}{3}x+2[/tex]

To find the simultaneous solution, set the y's equal.

[tex]-2x+10=\frac{2}{3}x+2\\-6x+30=2x+6\\-8x=-24\\x=3[/tex]

Find y using either equation to get y = 4.

A Graph Is Shown With X- And Y-axes Labeled From 0 To 6 At Increments Of 1. A Straight Line Labeled A

Related Questions

What is the value of the expression below? ( 3 + 1 × 5 ) 2

Answers

Answer:

(3+ 5)2=8*2=16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

(3+1*5)2

B- brackets

I- indices

D- division

M- multiplication

A- addition

S- subtraction

1*5=5

5+3=8

8*2=16

Please!!! I need help

Answers

Answer:m

Step-by-step explanation:

n

Find the surface area of the prism.
13 m
5 m
11 m
12 m
HELP ME ASAP

Answers

Answer: 345.977 m^3

Step-by-step explanation:

What is the volume, in cubic feet, of a cylinder with a height of 3 feet and a
base radius of 2 feet, to the nearest tenths place?

Answers

Answer:

i think 4 feet tall

Step-by-step explanation:

i think if it is wrong im sorry i tried

Answer:

37.7ft³

Step-by-step explanation:

6. Write 0. 29 as a fraction

Answers

Answer:

7.25/25

Step-by-step explanation:

may I pls have brainliest

Answer:

29/100

Step-by-step explanation:

0.29=29/100

please help asap!!!!!

Answers

Answer:

RQ = RS = 3

Step-by-step explanation:

Since RQ and RS are radii of the circle then they are congruent

let RQ and RS be x , then

Using Pythagoras' identity in right triangle QRS

x² + x² = (3[tex]\sqrt{2}[/tex] )²

2x² = 18 ( divide both sides by 2 )

x² = 9 ( take the square root of both sides )

x = [tex]\sqrt{9}[/tex] = 3

Thus RQ = RS = 3

I need help I'm confused!

Answers

Answer:

I think you need to find the area of bottom part hope this helps im confused two but try that

Answer:

ok queen

Step-by-step explanation:

Equations and Expressions 1

Calculate if the value given for the variable is the solution or not.

6x-13=5 x=3


⅓(x+4)=20 x=48



4x+5.25=13.25 x=2



Solve

x/7=11


x-5=4



4x=20



x+3=5

Answers

DONT GO TO THE LINK IT MIGHT BE VIRUS OR SCARY OR TACKING THING BE SAFE

x+10=2x-4 what does x=

Answers

X=14

Step by Step

x+10=2x-4
-x. -x

10=x-4
+4. +4

x=14

Answer:

x = 14

Step-by-step explanation:

x + 10 = 2x - 4

x + 10 - 10 = 2x - 4 - 10

x = 2x - 14

x - 2x = 2x - 2x - 14

- x = - 14

- x ÷ - 1 = - 14 ÷ - 1

x = 14

PLEASE HELP!!!! will give brainliest points to whoever answers first!!!! only going on for 30 minutes.

One way to name a transformed figure is to place a _________________________ after each letter in the
name of the original figure. For example, a reflection of ΔABC is named __________.

Answers

Answer:

Is to place a ' or a prime

ΔA'B'C'

Answer:

One way to name a transformed figure is to place a apostrophe after each letter in the

name of the original figure. For example, a reflection of ΔABC is named ΔA'B'C' (pronounced A prime B prime C prime).

Step-by-step explanation:

Which statement is an example of causation?
When it rains, the playground gets wet.
The height of children increases as their running speed increases.
The increase in the number of ice-cream cones a vendor sells causes
an increase in temperature.
Students who eat a good breakfast each day are more physically
active than those who skip breakfast.

Answers

Answer:

1- effect of cause

2- effect of cause

4- effect of cause

When it rains the playground gets get.

Find the missing angle.
Select one:

85°

180°

158°

32°

Answers

Answer:

missing angle 32 ...........

Jim rented a truck for one day. There was
base fee of $17.95, and there was an additional charge of 87 cents for each mile driven, Jim had to pay $153.67
when he returned the truck. For how many miles did he drive the truck?

Answers

Make an equation
Y = 17.95 + 0.87x
Y = total cost, x = miles
153.67 = 17.95 + 0.87x
135.72 = 0.87x
x = 156 miles

Answer:

Jim drove the truck 156 miles

Step-by-step explanation:

Represent the number of miles driven with x.

Then the formula for the total rental cost is C(x) = $17.95 + ($0.87/mile)x, and this comes to $153.67.  Solve for x:

$153.67 - $17.95 = ($0.87/mile)x, or

$135.72 = ($0.87/mile)x

Dividing both sides by ($0.87/mile), we get:

x = 156

Jim drove the truck 156 miles


Plz help giving branliest

Answers

Answer:

I believe the answer is '22.82' which would then become '22.8' when rounded to the nearest tenth.

PS: I hope this helps.

I WILL MARK AS BRAINLIST The quantities x and y are proportional Find the constant of proportionality (r) in the equation y=rx

Answers

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given that x and y are proportional and the equation relating them is

y = rx ← r is the constant of proportionality

To find r use any ordered pair from the table

Using x = 9, y = 4.5 , then

4.5 = 9r ( divide both sides by 9 )

[tex]\frac{4.5}{9}[/tex] = r , that is

r = [tex]\frac{1}{2}[/tex]

The correct answer is 1/2

Find the area of a regular octagon with a side length of 5 cm. Round to the nearest tenth

Answers

Answer:

120.7 cm²

Step-by-step explanation:

2( 1 + √2 ) a² = 2( 1+ √2 ) · 5² ≈ 120.7

help now please or ur not cool

Answers

I'm so cool.................... bro

Erica has three times as many pieces of candy as Nellie. Together they have 248 pieces of candy. Write and solve and equation to find out howl much candy Nellie has.​

Answers

Nellie has 62 pieces of candy,

62x3=186

186+62=248

pleaseeee help meeeee​

Answers

Answer:

See explaination and answer below

Step-by-step explanation:

Relationship:

Complementary angles add up to 90 degrees

JKL + MNP = 90

Solve for x:

(2x - 3) + (5x + 2) = 90

7x - 1 = 90

7x = 91

x = 13

Solve for JKL:

JKL = 2x - 3

JKL = 2(13) - 3

JKL = 23 degrees

Solve for MNP:

MNP = 5x + 2

MNP = 5(13) + 2

MNP = 67

Check work:

67 + 23 = 90

Please mark brainliest if this helped!

Please mark brainliest if this helped!

Answer: First you have to know that complementary mean 90*

Step-by-step explanation:(2x-3)+(5x+2)=90

2x - 3 + 5x + 2=90

7x-1=90

7x=90+1

7x=91

x=91/7

x=13

Which angles are congruent?? (Look at the picture)

Answers

Answer:

A. DEF=EDF

Step-by-step explanation:

a) 3.x + y = 11
a)
2x-y=4​

Answers

Step-by-step explanation:

3x + y = 11 ...(1)

2x - y = 4 ...(2)

From equation (1) we get,

3x + y = 11

x = 11 - y/3

Now, put the value of x = 11 - y/3 in equation (2) we get,

2x - y = 4

2(11 - y/3) - y = 4

22 - 2y/3 - y = 4

22 - 2y - 3y = 12

22 - 5y = 12

5y = 22- 12

5y = 10

y = 10/5

y = 2

Now, Put the value of y = 2 in equation (1)

3x + y = 11

3x + 2 = 11

3x = 11 - 2

3x = 9

x = 9/3

x = 3

Thus, The value of x is 3 and y is 2

FOR VERIFICATION ONLY:

3x + y = 11

3(3) + 2 = 11

9 + 2 = 11

11 = 11

2x - y = 4

2(3) - 2 = 4

6 - 2 = 4

4 = 4

Hence, L.H.S = R.H.S

-TheUnknownScientist

d) –4 + 3 ( 2 – x) = –8
Daje naj​

Answers

Answer:

x = 3 and 1/3, or 3.333333...

Step-by-step explanation:

I'm assuming again that you want to find x

–4 + 3 ( 2 – x) = –8

Multiply

-4 + 6 - 3x = -8

Add 4 to both sides

6 - 3x = -4

Subtract 6 from both sides

-3x = -10

Multiply by -1

3x = 10

Divide by 3

x = 10/3

PLEASE HELP I WILL MARK BRAINLIEST

Answers

Answer:

I think 96° but not fully sure sorry if wrong

Someone please help me?!?!

Answers

Answer:

30 is correct answer. ... ...........

If you know the answer please help

Answers

The answer is 330. 67x5=335. Now round it.

HELP ME WITH THIS PLEASE

Answers

Answer:

The dime section does not belong. If you add it together it equals 50, while the others all equal/ add up to 25.

9/10 - 1/2 can you help

Answers

Answer:

4/10 or 2/5

Step-by-step explanation:

9/10-1/2 = 9/10-5/10 = 4/10 = 2/5

Answer:

2/5

Step-by-step explanation:

9/10-1/2

9/10-1×5/2×5

9/10-5/10

9-5/10

4/10

2/5

.........help.......me.......please

Answers

Answer:

x = 17

Step-by-step explanation:

x + 73 = 90

x = 90 - 73

x = 17

The answer is 17 hope this helps

Solve for v.
20 = 4 x v

v = ??

Answers

Answer:

v = 5/x

Step-by-step explanation:

Hope this helped

Answer: v=5

→Hope this helps!←

The velocity of a ball thrown upward into the air is given by v(t)= -32t+96 where t is measured in seconds and velocity v in feet per second calculate the displacement of the ball between t=1 and t=4

Answers

Answer:

The displac ment between t = 1 and t = 4 is 272 feet

Step-by-step explanation:

To get the displacement of the ball, we first need to get the equation for the position of the ball with respect to time.

We can do this by differentiating the velocity equation given:

v(t) = -32t +96

integrating between the limits of t = 1 and t = 4, we have

[tex]s = \int\limits^4_1 {-32t +96} \, dt[/tex]

[tex]s(t) = -32t^2/2 +96t[/tex]

[tex]s =[ -16t^2 +96t] t = 4, t =1[/tex]

where t = 4.

s = 256 + (96) =352 feet

Where t = 1

s = 80

Displacement of the ball = 352 -80 = 272ft

The displac ment between t = 1 and t = 4 is 272 feet

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