Mathematics High School

Part A
Consider the equation of two lines.
Line 1: -3x – 3y = 6.
The slope of the first line is
Line 2: 4x + 4y = 8.
The slope of the second line is
Part B.
What can we infer about the two lines?
PLEASE HELP

Answers

Answer 1

Answer:

-1 ; -1 ; the two lines are parallel

Step-by-step explanation:

To find the slope of the two lines, we can proceed in two different ways:

1) the faster is do the division: -a/b where a is the number the multiplies x and b is the number that multiplies y

line 1: m = 3/-3 = -1 line 2: -4/4 = -1

2) the second is to rewrite the two equation in the slope intercept form and find what term multiplies the x

line 1

-3y = 3x+6

-y = x + 2

y = -x -2

m = -1

line 2

x+y = 2

y = -x +2

m = -1

the two lines have the same slope, so they are parallel

Related Questions

What are the next three terms in the sequence 3, 6, 9, 12, ...?

Answers

Answer:

15, 18, 21

Step-by-step explanation:

I uploaded the answer to a file hosting. Here’s the link: (don’t fall for these)

1. The range of guest on New Year's Eve was 15>

2. About 50% of Thanksgiving dinners had 17 or more people.

3. Everyone had at least one guest over for dinner at Thanksgiving.

4. The IQR of Thanksgiving dinner was 20.

5. The median number of people at New Years' Eve dinner was 15.

6. Three-fourths of New Years' Eve dinners had five or more people.

Answers

Answer:

1.False

2. True

3.) True

4. False

5.) False

6.) True

Step-by-step explanation:

1.)

Range = maximum - minimum

New year's eve :

Maximum = 22 ; minimum = 3

Range = 22 - 3 = 19

2.)

Median for Thanksgiving = 17

50% up to 17 ;hence the remaining 50% is also 17 and above

4.)

IQR for Thanksgiving

Q3 - Q1

23 - 12 = 11

5.)

The median number of people at new year's eve for dinner was 7 (line in between the box)

6.)

3/4th of new year eve's dinner = Q3 = 15

1/4 = Q1 ; have up to 5 people

Therefore ; the remaining (1 - 1/4) = 3/4 have 5 and above

Answer:

1.False

2. True

3.) True

4. False

5.) False

6.) True

Step-by-step explanation:

The Ridgeport school district collected data about class
size in the district. The table shows the class sizes for five
randomly selected kindergarten and seventh-grade
classes.
Number of students in randomly
selected class
Mean Mean absolute
deviation
19
1.2
Kindergarten 17, 18, 19, 21, 20
Seventh 25, 30. 27, 29, 34
grade
29
2.4
Based on these data, which statement is true?

Answers

I think its option B) The average size of a seventh-grade class is larger and varies more than that of a Kindergarten-class.

it c. i think

Step-by-step explanation:

I really need to know the answer of this question

Answers

Answer:

Amir 20 Rita 45

Step-by-step explanation:

20/4=5

5*9=45

so this satisfices the ration 4:9

Answer:

Amir : 20 sweets and Rita : 45 sweets

Step-by-step explanation:

Rita has 25 more in all answers. to get the answer, this is to see which one : 4:9 ; 20:45.

we multiply 4 and 45 and 9 and 20. if we multiply them, both answers are 180. this means it is equal and that is the answer.

I need help what do I have to do plz if you don’t know the answer don’t write nothing thank you

Answers

Should be 132 degrees

Gabriel brings 25 cupcakes to share with his classmates at school. At the end of the day, he has 3 cupcakes remaining. What percent of the total cupcakes did Gabriel share with his classmates?

A 12%12%

B 22%22%

C 75%75%

D 88%

Answers

Answer:

Answer D 88%

Step-by-step explanation:

To figure this question out we first need to find 1% of 25, which is .25 and then we need to find what percentage 3 is of 25, and so 12 x .25 = 3 which means 3 is 12% of 25, now just subtract it from 100% and we get 88%

(っ◔◡◔)っ ♥ Hope It Helps ♥

It d 88 I hope it help you

Someone help me out please

Answers

Answer:

Coordinates are

(1,-5)

(-6,1)

The sum of the measurement of angle M and angle R is 180 degrees

Answers

Answer:

Step-by-step explanation:

it is 5

there is given the numbers equals to 8 and DC equals to 3.2 and BE quals to 9 and find BC

Answers

Given:

Consider [tex]AB\parallel DE[/tex] in triangle ABC and [tex]AD=8,DC=3.2,BE=9[/tex].

To find:

The length of BC.

Solution:

Basic proportionality theorem (BPT): If a line intersect the two sides of triangle and parallel to the third side, then that line intersects the other two sides proportionally.

Using Basic proportionality theorem, we get

[tex]\dfrac{AD}{DC}=\dfrac{BE}{EC}[/tex]

[tex]\dfrac{8}{3.2}=\dfrac{9}{EC}[/tex]

On cross multiplication, we get

[tex]8\times EC=9\times 3.2[/tex]

[tex]EC=\dfrac{28.8}{8}[/tex]

[tex]EC=3.6[/tex]

Now,

[tex]BC=BE+EC[/tex]

[tex]BC=9+3.6[/tex]

[tex]BC=12.6[/tex]

Therefore, the length of side BC is 12.6 units.

Solve for the number problem 11

Answers

Answer:

1,000

Step-by-step explanation:

10x10x10 = 1,000

this lock has 1,000 possible combinations

A 26-ft ladder leans against a building so that the angle between the ground and the ladder is 81 degrees. How high does the ladder reach on the building? the answer is in ft

Answers

Answer:

25.7 feets

Step-by-step explanation:

From the diagram attached, we could use trigonometry to obtain the height,h :

Using the trigonometric relation :

Sin θ = opposite / hypotenus

Opposite = h

Hypotenus = 26 feets

Sin 81° = h / 26

Height, h = 26 * sin 81°

h = 26 * 0.9876883

h = 25.679

Height, h = 25.7 feets

Determine the horizontal and vertical axis intercepts: r = 36 + 70sin θ.
Please show your work need help!

Answers

Answer:

See below for answers and explanations (along with a graph)

Step-by-step explanation:

Refer to the equations for a limaçon:

y=a+bcos∅ (horizontal line of symmetry) and y=a+bsin∅ (vertical line of symmetry) where a/b determines the type of limaçon.

This is an inner loop limaçon because 36/70<1, so its horizontal axis intercepts are 36 and -36 (marked in red) and its vertical axis intercepts are 0, 36+70=106 and 70-36=34 (marked in green)

A private school determines their annual profits from the function
p(x) = 0.4x2 – 19x, where x is the number of students enrolled in the school. What is
the annual profit if 750 students are enrolled in the school?

A. $75,750 C. -$13,950
B. $210,750 D. $239,250

Answers

Answer:

Step-by-step explanation:

Its 210,750 i took the quiz. You have to plug in 750 to all the x's.

solve the quadratic equation
8x^2+16x+8=0

Answers

Answer:

8x²+16x+8=0

x²+2x+1=0

D=4-4=0

x0=-2/2=-1

Answer:

x = -1

Step-by-step explanation:

[tex]8x^2+16x+8=0[/tex] {divide both sides by 8}

[tex]x^2+2x+1=0\\\\a=1\,,\quad b=2\,,\quad c=1\\\\x=\dfrac{-2\pm\sqrt{2^2-4\cdot1\cdot1}}{2\cdot1}=\dfrac{-2\pm\sqrt{4-4}}2=\dfrac{-2\pm0}2=-1[/tex]

find the circumference and the area of the circle with a diameter of 15ft

Answers

Answer:

Circumference is pi times diameter so that would equal 15 pi. The formula to find the area of a circle is A=pi * r^2 So you divide 15 by 2 to find the radius. r=7.5 Then you square it and multiply it by pi and get 56.25pi which is about equal to 176.715

What is the vertex of the parabola f(x) = x^2 – 2x – 8 that has an axis of symmetry at 2 = 12
A (2,-8)
B (1,-9)
C (3,-5)
D (4,0)

Answers

i believe the answer is either a or c, good luck!

Answer: i am pretty sure it is c

OR A

NOT SURE THOUGH trust ur gut

Step-by-step explanation:

Each day Theo versus dog 15 minutes in the morning and 25 minutes in the afternoon evaluate the expression 7 x (15 + 25) to find how many minutes to theo dog each week

Answers

Answer: 280 minutes

Step-by-step explanation:

Given

Expression is [tex]7\times (15+25)[/tex]

Apply distributive law i.e.

[tex]a(b+c)=a\cdot b+a\cdot c[/tex]

[tex]\Rightarrow 7(15+25)=7\cdot 15+7\cdot 25\\\Rightarrow 7(15+25)=105+175=280[/tex]

Thus, theo dog took 280 minutes each week

What is the height of the token?

A.
B.
C.
D.

Answers

Answer:

c. 5cm

Step-by-step explanation:

25=½(3+7)*h

25*2=10*h

50/10=h

5cm =h

Angela rented a car for $29.99 a day plus a one-time insurance cost of $5.00. Her bill was $124.96. For how many days did she rent the car? Write an equation and then solve

Answers

Answer:

94 days

Step-by-step explanation:

That's a cheap rent-a-car place :)

Btw I took the test.

Which equation represents a line that has a slope of – 2/3 and a y-intercept of 4?
A)
2x + 3y = 12
B)
2x - 3y = 12
C)
3x - 2y = 12
D)
3x + 2y = 12

Answers

Answer:

Step-by-step explanation:

Slope-intercept form: y=mx+b

2x+3y = 12

3y = 12-2x

y = (12-2x)/3

y = 4-2/3x

Here we can see that the slope is -2/3 and y-intercept 4. We already got the answer so we dont need to try the other options.

We’re doing similarity and I’m really confused

Answers

Answer:

Hello its ok Love!

I believe x = 2 hope this helps good luck!

Answer: 2 ft

Step-by-step explanation:

18 / 4.5 = 4

8 / 4 = 2

An ice cream cone has a radius is 3 cm and a height of 7.5 cm. Which amount is
closest to the volume of the ice cream cone?
F 71 cm
G 212 cm
H 141 cm
J 47 cm

Answers

Its g i hope its right

Sara is packing for vacation she is taking three shirts: yellow (y) white (w) and green (g) she is also taking a pair of jeans (j) a pair of black pants (b) and pair of shorts (s) for shoes, she is packing tennis shoes (t) and a pair of dress shoes (d) each outfit will be made of 1 shirt 1 pair of pants and 1 pair of shoes

Answers

Answer:

She has 18 combinations to choose from

Step-by-step explanation:

The tree diagram is as follows

yellow (y) ⇒⇒⇒⇒⇒ a pair of jeans (j)

║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)