Which of the following equations describes the line shown below? Check all
that apply.

Which Of The Following Equations Describes The Line Shown Below? Check Allthat Apply.

Answers

Answer 1

Answer:

B. y = 2x - 2

E. [tex] y + 4 = 2(x + 1) [/tex]

F. [tex] y - 6 = 2(x - 4) [/tex]

Step-by-step explanation:

The equation of the line can be found using either the point-slope equation or the slope-intercept equation.

✔️Equation of the line in point-slope using the slope and the coordinates of the point (4, 6):

Slope = m = change in y/change in x

Using (4, 6) and (-1, -4),

m = (-4 - 6)/(-1 - 4)

m = -10/-5

m = 2

Substitute m = 2, and (a, b) = (4, 6) into the point-slope equation form [tex] y - b = m(x - a) [/tex]

Thus:

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

✔️Equation of the line in point-slope using the slope and the coordinates of the point (-1, -4):

Slope = m = 2

Substitute m = 2, and (a, b) = (-1, -4) into the point-slope equation form [tex] y - b = m(x - a) [/tex]

Thus:

[tex] y - (-4) = 2(x - (-1)) [/tex]

[tex] y + 4 = 2(x + 1) [/tex]

✔️Equation of the line in slope-intercept form, y = mx + b

Where,

m = slope = 2

b = y-intercept = -2 (the point where the line intercepts the y-axis)

Thus, substitute m = 2 and b = -2 into y = mx + b

y = 2x + (-2)

y = 2x - 2


Related Questions

Mr. Ortiz's car drives 12 miles in 20 minutes. Use a model to find out how many miles his car drives in 1 HOUR.

Answers

Answer:

36 miles

Step-by-step explanation:

Since there are 60 minutes in a hour, you can see that 20 minutes is a third of that time. To find the answer, you multiply the values by 3 to equal on hour. 20x3 = 60 and 12x3 = 36, meaning he drove 36 miles in a hour.

Solve the following system of equations algebraically:
Y = x^2 + 8x – 9
Y = 2x + 7

Answers

use simultaneous equations:
2x + 7 = x^2 + 8x - 9
7 = x^2 + 6x - 9
16 = x^2 + 6x
+ or - 4 = 7x
answer is
-4/7 or 4/7

A) Find the 15th term of a linear sequence (AP) whose 5th term is 30 and 20th term is
75.
B) The second and the fourth terms of an exponential sequence (GP) of positive terms
are 9 and 4 respectively. Find
D) The common ratio;
i) The first term
2. Solve for x and y in the following equations: 2(x+4y) = 1.22+8y

Answers

Answer:

A) 60

B) Common ratio, r, = 2/3

The first term, a, = 13.5

Step-by-step explanation:

A)

The formula for  the nth term of a linear sequence is an+b. So we can say:

30=5a+b

75=20a+b

which means

b=30-5a

b=75-20a

30-5a=75-20a

15a=45

a=3

30=5(3)+b

b=30-15=15

So our formula is 3n+15. Sub in 15 for n to find the 15th term: 3(15)+15=45+15=69

B)

The formula for  the nth term of an exponential sequence is arⁿ⁻¹, where a is the first term of the sequence and r is the common ratio. Therefore we can say: 9=ar, and 4=ar³, which means a=9/r and a=4/r³

9/r=4/r³

9r³=4r

9r²=4

r=√(4/9)=2/3

9=a(2/3)

a=27/2=13.5

If a normal 6 sided die, with each side numbered 1 through 6, is rolled. What is the probability that the number on top is greater than 3?
Select one:

1/6

1/2

1/3

2/3

Answers

Answer: the second option (1/2)

Step-by-step explanation:

numbers greater than 3: 4, 5, and 6

3 numbers

so 3/6 or 1/2

1/2 or 50% so the second option

8xp is less than 8 but greater than 0

Answers

Answer: 0<8xp<8

Step-by-step explanation:

Answer:

8xp < 8 > 0

Step-by-step explanation:

Is your algebra expression i'm pretty sure.

HELP!! pls
Circle O is centered on the origin with a diameter of 14 units. Determine if the point
reasoning
(-3,2/10)
is on the circle. Explain your reasoning

Answers

Answer:

Circle centered on origin,  (0, 0)

Radius = 7units

To find if the point lies on the circle , check if the distance from the center to the point is 7units.

[tex]distance = \sqrt{(x_{1} -x_{2})^{2} +(y_{1} -y_{2})^{2} } \\(x_{1} ,y_{1} ) =(0, 0)\\(x_{2}, y_{2}) = (-3, 2\sqrt{10} )\\\\distance = \sqrt{(0--3)^2+(0-2\sqrt{10})^2 } = \sqrt{9+40} = \sqrt{49} = 7units[/tex]

Since the distance between the center and the point is 7units. the point lies on the circle.

Circle O is centered on the origin with a diameter of 14 units. Since the distance between the center and the point is 7units. So, the point lies in the circle.

What is the distance between two points ( p,q) and (x,y)?

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]

We have been given a Circle centered on the origin,  (0, 0)

Radius = 7units

In order to find if the point lies on the circle, check if the distance from the center to the point is 7units.

(x, y) = (0, 0)

(p, q) = (-3,2√10)

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]

[tex]D = \sqrt{(0-(-3))^2 + (0-2\sqrt{10} )^2} \: \rm units.\\\\D = \sqrt{9+ 40} \\\\D = \sqrt{49} \\\\D = 7[/tex]

Since the distance between the center and the point is 7units. So, the point lies on the circle.

Learn more about the distance between two points here:

brainly.com/question/16410393

#SPJ2

graph the function y less than or equal to x^2-3x-1

Answers

Answer: y <= x^(2) - 3x - 1

How to: Graph the inequality by finding the boundary line, then shading the appropriate area.

Have a great day and stay safe !

The area of the triangle shown is represented by A=s(s−14)(s−12)(s−6)−−−−−−−−−−−−−−−−−−−−√A=s(s−14)(s−12)(s−6), where s is equal to half the perimeter. What is the height h of the triangle? Round your answer to the nearest hundredth.

Answers

Answer:

[tex]h=5.11ft[/tex]

Step-by-step explanation:

[tex]S=12+6+14/2=16[/tex]

[tex]area ~A= \sqrt{s(s-14)(5-12)(5-6)}[/tex]

[tex]area=\sqrt{16(16-14)(16-12)(16-6)}[/tex]

[tex]A=\sqrt{16×2×4×10}[/tex]

[tex]A=35.70[/tex]

[tex]A=1/2× base~×height[/tex]

[tex]35.70=1/2×14×h[/tex]

[tex]h=2×35.75/14[/tex]

[tex]h=5.11ft[/tex]

。・:*:・゚★,。・:*:・゚☆

hope it helps...

have a great day!!

It says: a water tank of a pyramid has a rectangular base with dimensions of 10 feet by 15‘ the height of the Rectangular pyramid is 12 feet water fills half of the volume of water tank how many more cubic feet of water is needed to finish the water tank: PLEASE HELP THIS GONNA HELP ME PASS TO THE NEXT GRADE

Answers

Answer:

600

Step-by-step explanation:

V=(LxWxH)/3

Multiply 10x15x12/3 and get 600

Can somebody please help me out please my grads are bad

Answers

Step-by-step explanation:

Starting from the upper left in the clockwise direction:

congruent: no

similar: no

upper right side:

congruent: yes

similar: yes

lower right side:

congruent: no

similar: yes

lower left side:

congruent: yes

similar: yes

A building which is 30 feet tall casts a 5 foot shadow. What is the angle of elevation?
O a. 0.110
O b. 80.54
O c. 80.41
O d. None of the above

Answers

Answer:

80.54

Step-by-step explanation:

height- 30

base- 5

tan-1(30/5)

tan-1(6)

= 80.54

remy said the table shows a proportional relationship because each distanc went up by 6ftg. Collin said that it was not a proportional relationship because there was no constant of proportionality there was not a single nymber that he could multiply the time by to get the distance

Answers

Answer:

remy would be correct

Step-by-step explanation:


Please helpppppppppp i will mark brainlist

Answers

Answer:

10.4 cm

Step-by-step explanation:

Since the area is half of the base multiplied by the height A = 1/2 * b * h, the height can be found from h = 2A/b

h = (2 * 83.72 )/16.1 = 10.4

Answer:26.02

Step-by-step explanation:83.72-(16.1x2)/2=26.02 (sry I know it’s confusing but that’s how I do math lol) brainlyest plz plz I need it for my rank

Suppose you have a bag containing 5 white marbles, 8 black marbles, 4 red marbles, and 9 green marbles. You draw a
single marble, record the color, and then place the marble back into the bag. You do this 10 times in total. After the final
time, you count your observations and see that you drew a black marble 3 times. Using what you know about theoretical
probabilities, was this likely to occur? Explain.

Answers

Answer:Yes

Step-by-step explanation:Because if u use the antropy system you'll know i hope i helped

HELP ME PLEASEEEEEEEEEEEE

Answers

6,240 I think ??
If you need help let me know

Answer:

120

Step-by-step explanation:

multiply 10 times 24

then divide 240 by 2

a nwuni, cherit and Orman entered into a business
patnership nouni contributed 14 of the engiten
Cherit vin cand Orman /10.11 yo
capital was uned for row materials, find the
Fraction of the capital that remained for othape​

Answers

sorry i just need points, hope you get ur answer

Helppppoppppppppp!!!!!

Answers

Answer:

x=64

Step-by-step explanation:

[tex]x^{2} =A\\x^{2} = 4,096[/tex]

Answer:

Hello! answer: 64

Step-by-step explanation:

Each side length of the square is the same therefore we just have to find the square root of 4096 64 × 64 = 4096 therefore the side length of the square is 64 HOPE THAT HELPS!

What is the equation to solve this problem?

Answers

 

[tex]\displaystyle\bf\\x^2+x^2=10^2\\\\2x^2=19^2\\\\x^2=\frac{10^2}{2}\\\\ \sqrt{x^2}=\sqrt{\frac{10^2}{2}}\\\\x=\frac{10\sqrt{2}}{\sqrt{2}\times\sqrt{2}}\\\\x=\frac{10\sqrt{2}}{2}\\\\\boxed{\bf x=5\sqrt{2}~~~~~~Correct~ansver:~~D)}[/tex]

 

 

The side lengths of a right triangle are 10, 26, and 24. Which is the hypotenuse?

Answers

26 because 10 is less than 26 and so is 24

Putting soil is sold in bags that contain 1/2 cubic foot of soil. Estimate how many bags Rylee should buy.

Answers

9514 1404 393

Answer:

  11 bags

Step-by-step explanation:

12. As you noted in problem 11, the volume needed to fill the three pots is 5.05 cubic feet. The number of bags needed is ...

  (5.05 ft³)/(0.5 ft³/bag) = 10.1 bags

10 bags is not quite enough. Rylee should buy 11 bags of potting soil.

_____

Additional comment

As a practical matter, the difference between what Rylee needs and what is contained in 10 bags is about 1%. It would be very difficult to tell that 0.1 cubic foot is missing if Rylee simply used the contents of 10 bags. If Rylee purchases 11 bags, most (4/5) of the last bag will remain unused.

What is the perimeter of this shape? Use numbers only. *

Answers

Answer:

13

Step-by-step explanation:

The perimeter is all of the sides added together. Because this is a rectangle, the length and width are the same on both sides. They gave you the length and width, so just add them:

4 + 4 + 2.5 + 2.5 = 13.

So the perimeter of the shape is 13.

Answer:

13 m

Step-by-step explanation:

2.5 + 4 + 2.5 + 4

2.5 + 2.5 + 8

5 + 8

13

What is the place value of 9 in the number 8.0231497?

Answers

Answer:

Tens

Step-by-step explanation:

it’s really easy if you know your place values just go ones,tens,hundreds,thousands and keep going but the answer is tens place.

lVanessa was out shopping with her friends. She had $38
to spend today. She decided to buy herself a pair of sunglasses for $27
and some hair bands that were $2 each. How many hair bands can she
buy?

Answers

Answer

5 hair bands

Step-by-step explanation:

$38-$27(Sunglasses)=11

11/2=5.5

you can't buy 5.5 hairbands so you round the number to the nearest whole number.

so the answer is 5 hairbands.

The hotel room tax in Festivity City is calculated using the function
7(x) = 0.06x + 4.5
where x is the cost in dollars of the room and 7(x) is the tax in dollars.
What is the tax on a room that costs $120?
HELP ASAP ILL GIVE U BEST ANWER THING

Answers

Answer: 11.70

Step-by-step explanation:

Find the circumference of each circle with a diameter of 20 feet. use 3.14 as an estimate for pi

Answers

Answer:

62.8ft

Step-by-step explanation:

circumference= pie x diameter

pie=3.14

diameter=20ft

c=3.14 x 20ft

=62.8ft

Please help me I’m trying to pass and I don’t know what to do

Answers

Answer:

1/2 of an answer is zero answer.

Step-by-step explanation:

yeah :)

Answer:

- 3

Step-by-step explanation:

[tex]f(x) = \sqrt{x + 1} \\ plug \: x = 0 \\\therefore f(0) = \sqrt{0 + 1} \\\therefore f(0) = \sqrt{1} \\ \therefore f(0) =1 \\ \\ g(x) = 2x - 5 \\ plug \: x = f(0) \\ \therefore g( f(0)) = 2 f(0)- 5 \\ \therefore g( f(0)) = 2 (1) - 5 \\\therefore g( f(0)) = 2 - 5 \\ \\ \huge \red {g( f(0)) = \boxed {- 3} }[/tex]

What are the zeros of the function f(x) = (x + 5)(2x-3)?
O A. x=-5 and x = 8
O B. x = -5 and x = 4
O C. x = 5 and x = -8
O D. x = 5 and x = -4

Answers

The answer would be C done this yesterday

Simplify 14 divide by 2+5 x 4

Answers

Answer:

27

Step-by-step explanation:

14/2+5 x 4

7+20

27

Answer:

27

Step-by-step explanation:

14 divided by 2 + 5 x 4

5 x 4 first (pemdas)

5 x 4 is 20

14 / 2 = 7

7 + 20 = 27

if you don’t know pemdas it’s:

p arenthases

e xponents

m ultiply

d ivide

a dd

s ubtract

Which description can be written as the expression StartFraction n Over 4 EndFraction minus 13?

Answers

Answer:

Step-by-step explanation:

k

plz help i will give brainliest and i will report you if you post a link

Answers

11640 because you need to do 3% of 12000 and the subtract that number from 12000

Answer:

$11,640

Step-by-step explanation:

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