Which of the following equations describes the line shown below? Check all
that apply.
Answers
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
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.
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 !
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
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 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
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:
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!
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
plz help i will give brainliest and i will report you if you post a link
Answers
Answer:
$11,640
Step-by-step explanation:
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
The side lengths of a right triangle are 10, 26, and 24. Which is the hypotenuse?
Answers
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 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]
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.
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.
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
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.
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
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
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
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
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
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
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!!
HELP ME PLEASEEEEEEEEEEEE
Answers
If you need help let me know
Answer:
120
Step-by-step explanation:
multiply 10 times 24
then divide 240 by 2
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.
Solve the following system of equations algebraically:
Y = x^2 + 8x – 9
Y = 2x + 7
Answers
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
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
Which description can be written as the expression StartFraction n Over 4 EndFraction minus 13?
Answers
Answer:
Step-by-step explanation:
k
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]