1. Find the equations of the following lines.
a. The line that passes through points A(-1,1) and B(3,0).​

Answers

Answer 1

Answer:

[tex]y = -\frac{1}{4}x + \frac{3}{4}[/tex]

Step-by-step explanation:

First, find the slope. The slope can be found by using the following equation:

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

Let:

[tex](x_1 , y_1) = (-1 , 1)\\(x_2 , y_2) = (3 , 0)[/tex]

Plug in the corresponding numbers to the corresponding variables:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 1}{3 - (-1)} = \frac{-1}{3 + 1} = -\frac{1}{4}[/tex]

Plug in [tex]-\frac{1}{4}[/tex] into the equation for slope:

y = mx + b

Note that:

y = y

m = slope

x = x

b = y-intercept

[tex]y = -\frac{1}{4}x + b[/tex]

Plug in a point into the equation. In this case, I will use b(3 , 0). Remember (x , y):

[tex]0 = -\frac{1}{4}(3) + b \\0 = -\frac{1 * 3}{4} + b\\0 = -\frac{3}{4} + b\\0 (+\frac{3}{4}) = -\frac{3}{4} (+\frac{3}{4}) + b\\b = \frac{3}{4}[/tex]

Equation:

[tex]y = -\frac{1}{4}x + \frac{3}{4}[/tex]


Related Questions

Select the two binomials that are factors of this trinomial.
x2 + 8x + 12
A. X+6
B. X-2
C. X + 8
D. X+2

Answers

[tex]\huge{ \mathfrak{ \underline{question : }}}[/tex]

Select the two binomials that are factors of this trinomial.

[tex]x_2 + 8x + 12[/tex]

[tex]\huge{ \mathfrak{ \underline{Answer : }}}[/tex]

[tex] {x}^{2} + 8x + 12[/tex]

[tex] {x }^{2} + 6x + 2x + 12[/tex]

[tex]x (x + 6) + 2(x + 6)[/tex]

[tex](x + 2)(x + 6)[/tex]

We got the factors as :

[tex]A. \: (x + 6)[/tex]

and

[tex]D. \: (x + 2)[/tex]

[tex] \#TeeNForeveR[/tex]

Answer:

A&D

Step-by-step explanation:

What is the unit rate per watermelon if a store has them on sale for buy 5 watermelon for $11.50? Unit rate =$

Answers

2.30
Just divide 11.50 by 5


4. The Grade 6 pupils are constructing a square pyramid for their project. They plan to
cover it with Manila paper. If one side of the base measures 2.2 meter and the height of its
triangular face is 1.9 m, what size of manila paper will be needed to cover all faces of the pyramid?
A. 13.20 sq m
B. 12.30 sqm
C. 12.03 sqm
D. 10.30 sqm

5. Marie wants to cover a rectangular box entirely with wall paper. How many square
centimetres of wall paper will he need if the box measures 15 cm long, 10 cm wide, and 8
cm deep?

A. 1500 sq cm
B. 1200 sq cm
C. 900 sq cm
D. 700 sq cm​

Answers

Answer:

4.

Solution given:

length of base[a]=2.2m

slant height [l]=1.9m

Total surface area=?

we have

Total surface area of a square pyramid :

area of base+ curved surface area

:a²+2al

:2.2²+2*2.2*1.9

:13.20 m²

SoA. 13.20 sq m is a required answer.

5.

Solution given:

length [l]=15cm

wide [w]=10cm

height[h]=8cm

total surface area of cuboid =?

we have

total surface area of cuboid =sum of area of all side.

=2[lw+lh+wh]

=2[15×10+15×8+10×8]

=700cm²

D. 700 sq cm is a right answer.

A triangle and a trapezoid are graphed on the coordinate plane shown below.

What is the combined area, in square units, of the two shapes?

Answers

Answer:

10 sq units

Step-by-step explanation:

Area of triangle = 1/2(4)(2) or 4 square units

Area of trapezoid = 1/2(2)(2+4) or 6 square units

Combined area = 10 sq units

I need Help!
+9 - (+12) =?

Answers

Answer:

+9-12

==3

Step-by-step explanation:

when u multiply - and + it will always be -

Answer:

To simplify this, it is simply.

9 - 12

Because the + means its a positive.

9 - 12 = - 3

Ashley wants to know how much wrapping paper is needed to cover a box with the dimensions shown.

Answers

Answer:

A

Step-by-step explanation:

surface area = length x width x depth

so 5x5x7=175.

9.
(08.02 MC)

The two plots below show the heights of some sixth graders and some seventh graders:


Two dot plots are shown one below the other. The title for the top dot plot is Sixth Graders and the title for the bottom plot is Seventh Graders. Below the line for each dot plot is written Height followed by inches in parentheses. There are markings from 52 to 57 on the top line and the bottom line at intervals of one. For the top line there are 2 dots above the first mark, 1 dot above the second mark, 1 dot above the third mark and 2 dots above the fourth mark. For the bottom line, there is 1 dot above the second mark, 3 dots above the third mark, 1 dot above the fourth mark and 1 dot above the sixth mark.

The mean absolute deviation (MAD) for the first set of data is 1.2 and the MAD for the second set of data is 1.0. Approximately how many times the variability in the heights of the seventh graders is the variability in the heights of the sixth graders? (Round all values to the tenths place.) (1 point)


A. 1

B. 1.2

C. 2.4

D. 3.0

Answers

Answer:

the answer is 2.4

Step-by-step explanation:


HELPPP
PLLS
DUE RN



WILL


GIVE BRAINLIST



X
X
X
X

Answers

It’s the last one Which is =

Answer:

>

Step-by-step explanation:

41/8 = 5.125

i would love a little help

Answers

Step-by-step explanation:

36A) AB = 4/ sin 30° = 4/ 0.5 = 8 cm

36B) AC = 4/ tan 30° = 4/ 0.577 = 6.9 cm

36C) BD = 4/sin 45° = 4/ 0.707 = 5.7 cm

36D) area of ∆ABC = ½×6.9×4= 13.8 cm²

36E) sin A = sin 30° = 0.5

A car salesman will make $1400 salary this month and will earn an extra $500 each time he sells a car. Write an equation for the situation. Determine how much money he will make if he sells 7 cars.​

Answers

Given:

Fixed salary = $1400

Additional salary = $500 each time he sells a car.

To find:

The equation for the situation and how much money he will make if he sells 7 cars.​

Solution:

Let y be the total salary of the salesman after selling x cars.

He will earn an extra $500 each time he sells a car. So, extra money earned by him after selling x cars is 500x.

Total salary = Fixed salary + Additional salary

[tex]y=1400+500x[/tex]

Substituting [tex]x=7[/tex], we get

[tex]y=1400+500(7)[/tex]

[tex]y=1400+3500[/tex]

[tex]y=4900[/tex]

Therefore, the required equation for the given situation is [tex]y=1400+500x[/tex] and the salesman will earn $4900 if he sells 7 cars.​

An art class is planning to paint a mural on an outside wall.The figure below is a scale

drawing of the wall. What is the area of the actual wall?

Answers

Answer:

Step-by-step explanation:

I dont see The figure to hepl you

which fraction is equivalent to 0.63? A. 7/11 B. 19/30 C. 63/100 D. 63/1000

Answers

Answer:

C. 63/100

hope this helps

have a good day :)

Step-by-step explanation:

Hurry no links pls Eve can take one of three different buses to and from work
(bus A, B, or C). She randomly catches one bus in the
morning and another one on the way home. This table lists
the sample space of outcomes.
Afternoon
A
в с
A AA AB AC
Morning
B BA BB BC
C CA CB CC
In the event AB, Eve rides the A bus in the morning and the
B bus in the afternoon.
Which outcome would be included in the event "rides bus C both ways"?
A. CC
B. AA
C. BC
D. CA

Answers

A
Because it’s the only one where bus c is rode both directions

Find the number of outcomes in the complement of the given event.

Out of 270 apartments in a complex, 174 are subleased.

Answers

Answer:

96

Step-by-step explanation:

Out of 270 apartments in a complex, 174 are subleased.

Given that :

Total number of apartments in complex = 270

Number subleased = 174

The complement of event A = not A

Therefore, The complement in this scenario is NOT SUBLEASED ;

Hence, the Number of apartments in complex not subleased is :

Total apartment in complex - number subleased

270 - 174 = 96

Need help asap please

Answers

Answer:

3.8×10^7= 38000000

1.9×10^6= 1900000

38000000÷1900000= 20

the population of California is 20 greater than the population of Nebraska

The mean age of 6 women in an office is 25 years old.
The mean age of 10 men in an office is 27 years old.
What is the mean age (nearest year) of all the people in the office?

Answers

Answer:

their marriage and 2 years before

find the equivalent expression (3n+2 - 6n2) + (-4n3 - 1 + 8n)

a -5n3+11n+1

b-4+11n-1

c-8n3+11n+1

d-4n3+11n+1

Answers

Answer: [tex]-4n^3 -6n^2 +11n+1[/tex]

Step-by-step explanation:

[tex](3n+2-6n^2)+(-4n^3 -1+8n)\\\\=3n+2-6n^2 -4n^3 -1+8n\\\\=-4n^3 -6n^2 +11n+1[/tex]

*
The model below represents 66%. What decimal is equivalent to this percent?
(1 Point)
O 0.066
O 0.66
6.6
66

Answers

Answer:

the answer is 00.66 because I did it before

0.66









..................

what is the volume of the aquarium?

Answers

Answer:

3000 in3 ? I haven't actually done this i-ready before- but I believe it's

Width x Length x Height = Final result?

Step-by-step explanation:

The spinner below shows 5 equally sized slices. Yolanda spun the dial 20 times and got the following results Outcome Grey 7 White 7 Black 6
Number of Spins
. Fill in the table below. Round your answers to the nearest thousandth. (a) Assuming that the spinner is fair, compute the theoretical probability of landing on grey.

(b) From Yolanda's results, compute the experimental probability of landing on grey.

(c) Assuming that the spinner is fair, choose the statement below that is true:

As the number of spins increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.

As the number of spins increases, we expect the experimental and theoretical probabilities to become farther apart.

The experimental and theoretical probabilities must always be equal.

Answers

Answer:

Step-by-step explanation:

There are 5 equal areas. 2 of them are gray

2/5 = 0.4

P(gray) = 0.4

The experimental probability is 7/20 = 0.35

The first statement is the correct one. Computers like figuring out these kinds of questions. If you did this a million times, you would come very close, if not exactly, to 0.4

2^3 • 3 evaluate the expression plz help me

Answers

Answer:

24

Step-by-step explanation:

2^3 * 3 = 8 * 3 = 24

Hope this helped!

Answer:

24

Step-by-step explanation:

2^3 is equal to 2 times 2 times 2 which is 8 and 8 times 3 is 24

As shown below the circle O has a radius of 6 inches. To the nearest tenth of an inch, determine the length of the arc, x, sub tended by an angle of 1.3 radians

Answers

Answer:1537/90 * pi

Step-by-step explanation:

answer the question math

Answers

Answer:

[tex]7y-10[/tex]

Step-by-step explanation:

[tex]9y-\frac{1}{2}\left(4y+20\right)[/tex]

To simplify this expression, first use the distributive property to distribute [tex]\frac{1}{2}[/tex].

[tex]9y-\frac{1}{2}(4y)+-\frac{1}{2}(20)[/tex]

Simplify.

[tex]9y+-2y+-10[/tex]

Combine like terms, [tex]9y[/tex] and [tex]-2y[/tex].

[tex]7y-10[/tex]

The simplification of [tex]9y-\frac{1}{2}(4y+20)[/tex] is [tex]7y-10[/tex].

I hope this helps ^^

Good luck

NO LINKS!!!

Part 2. Decide if each pair of triangles below is similar. If the triangles are similar, justify your conclusion by stating the similarity condition you used. ​

Answers

Answer:C.

each pair of triangles below

UT/IF:TQ/IK:IQ/KF

14/44.8:20/64

5/16:5/16

since they are similar

D.

<R=<K=96°

<J=<X=32°

<Q=<K=52°

since corresponding angle are equal.

they are similar

JR/XV:RQ/KV:JQ/XK

similarity condition are:

the corresponding side are proportional and angle are equal.

9514 1404 393

Answer:

  c. no

  d. yes; AA postulate

Step-by-step explanation:

c. The marked sides have the same ratio ...

  20/14 = 10/7 = 64/44.8

However, the angle between them is not marked as being the same. We cannot conclude the triangles are similar.

__

d. Missing angle R is 180° -32° -52° = 96°. So, two of the angles in the triangles match. (32° and 96°) ∆RQJ ~ ∆VKX by the AA postulate.

Which value of x is a solution of x<-2

Answers

Answer:

Given that the magnitude of x would be lesser than < -2

Then it would consisted with the values smaller than -2

x { -3,-4,-5,-6,......,-infininty} (ans)

Hope it helps

Please Help 100 points and brainless
Hurry!! And thanks:)

Answers

Answer:

48:42 goes into 7:8

Step-by-step explanation:

HELP PLSSSSSS. NEED THIS LAST QUESTION

Answers

Answer:

D.

Step-by-step explanation:

The answer is D that problem is set up the right way with the correct data

Find the area of the composite shape. Use 3.14 for π and round to the nearest hundredth.
___ square inches

Answers

Answer:

49.12 in²

Step-by-step explanation:

The composite figure here is a semicircle and a triangle :

Area of triangle = 1/2 * base * height

Base of triangle = 8 inches ; height = 6 inches

Area of triangle = 1/2 * 8 * 6 = 48/2 = 24 in²

Area of semicircle = 1/2 * πr²

Radius = 4 in

Area of semicircle = 1/2 * 3.14 * 4² = 25.12 in²

Area of composite figure :

Area of triangle + Area of semicircle

(24 in² + 25.12 in²)

= 49.12 in²

Please help!!! Will give brainleist

Answers

Answer:

1. the difference in price is that Bigfoot is $60/$65 more expensive than lazer liner

lazer liner is $5 or 0 if its that misleading

2. no $5 difference

3. because electro is misleading and is only 11 dollars while The blade is 75$ The difference in price is $64

4. maker the bars that are misleading below and add the lower prices under with them. And add lines and small lines that says a dollar or 5 dollar per line.

I need the answer fast

Answers

The answer is the first one, A = 0.5bh. I hope this helps, have a good day!

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