What is an equation of the line that passes through the points (-3,-1) and (6,2)?
Answer:
[tex]y=\frac{1}{3}x[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two points the line passes through are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (-3,-1) and (6,2)
[tex]=\frac{2-(-1)}{6-(-3)}\\=\frac{2+1}{6+3}\\=\frac{3}{9}\\=\frac{1}{3}[/tex]
Therefore, the slope of the line is [tex]\frac{1}{3}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\frac{1}{3}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=\frac{1}{3}x+b[/tex]
Plug in one of the given points and solve for b
[tex]2=\frac{1}{3}(6)+b\\2=2+b[/tex]
Subtract 2 from both sides to isolate b
[tex]2-2=2+b-2\\0=b[/tex]
Therefore, the y-intercept is equal to 0. Plug this back into [tex]y=\frac{1}{3}x+b[/tex]:
[tex]y=\frac{1}{3}x+0\\y=\frac{1}{3}x[/tex]
I hope this helps!
Hey can some some please help me !!!!!
Answer:
y = x+2
Step-by-step explanation:
proportional relationships are of the form
y = kx where k is a constant
y = x is proportional with k=1
y = 2x is proportional with k =2
y = x+2 is linear
Answer:
y = x+2
Step-by-step explanation:
proportional relationships are of the form
y = kx where k is a constant
y = x is proportional with k=1
y = 2x is proportional with k =2
y = x+2 is linear
You're picking out water balloons. There are 333 colors and 222 sizes.
If you randomly pick the color and size, which of these tables lists all possible outcomes? (Each row represents one outcome.)
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
Table A
(Choice B)
B
Table B
Table A:
Color Size
Green Large
Green Small
Orange Large
Orange Small
Yellow Large
Yellow Small
Table B:
Color Size
Green Large
Orange Large
Yellow Large
Green Small
Orange Small
Yellow Small
Answer:
Select both Table A and Table B
Step-by-step explanation:
Both Tables show all 3 colors and 2 possible sizes
For proof here is a screenshot of the answer being correct:
The lengths of the sides of a triangle or an extended ratio 7 8 and 9 the perimeter of the triangle is 48 cm what are the lengths of the sides
Answer:
14cm, 16 cm, 18 cm
Step-by-step explanation:
Note that
= a:b: c = 7:8:9
We have to find the sum of the proportion
Sum of proportion = 7 + 8 + 9
= 24
Length of side a
7/24 × 48 = 14 cm
Length of side b
8 /24 × 48 = 16cm
Length of side a
9/24 × 48 = 18 cm
What are the lengths of the sides?
The lengths of the sides of the triangle in cm are
14cm, 16 cm, 18 cm
Which measure of central tendency best describes the data? 45, 45, 46, 52, 100, 43, 98, 46, 81 median only mean only either mean or median
Answer:
Median only
Step-by-step explanation:
I also go to k12 and did this quiz.
sorry if I'm already late
45 + 9/4 + 4 + 12/20
45 + 2.25 + 4 + 0.6 =
45 + 6.85 =
51.85
The subject is: Solving Quadratic Formula, if you know the answer and it’s correct please let me know, if not, do not comment.
Answer:
The equation needs to be in standard form
Step-by-step explanation:
The equation needs to be in standard form
so the the coefficients a, b and c can be determined
for use in the quadratic formula
what is the mean to this
Sample #2
21 14 0 3 6
7 10 11 7 9
14 0 15 5 12
20 0 12 11 6
0 21 14 0 6
Answer:
44.8
Step-by-step explanation:
help me out please !!!!
Answer:
0.06 liters
Step-by-step explanation:
acid concentration of 65% means that it of 100 units of that solution 65 are acid, and the remaining 35 are water.
so, 100 units are 0.2 liters in this example.
that means that 65/100 × 0.2 = 0.13 liters are acid.
35/100 × 0.2 = 0.07 liters are water
we get a 50% concentration, when we have the same amount of water and acid in the solution (acid is only half of 50% of the solution).
the account of acid remains the same, as we are only adding water.
so, how much water do we need to get from 0.07 liters to 0.13 liters (the same as the already present acid) ?
0.13 - 0.07 = 0.06 liters
2
v
What is the equation of a line that is parallel to y = -4x – 3 and shifted down 3 units?
Answer: [tex]y=-4x-6[/tex]
Step-by-step explanation:
Given
The equation of line is [tex]y=-4x-3[/tex]
The line which is parallel to the given line is [tex]y=-4x+c[/tex]
and shifted by 3 units down i.e. its y-intercept is 3 units below the given line
[tex]\therefore y=-4x-3-3\\\Rightarrow y=-4x-6[/tex]
Please factor and find the zeros of each relation. (19 marks)
E. y = 3x^2 + 12x
F. y = x^2 + 20x + 100
Answer:
Step-by-step explanation:
y=3x^2+12x = 3x (x+4)
zeroes: x={0, -4}
y = x^2+20x+100 = (x+10)^2
zeroes: x = -10 (twice)
or x={-10, -10}
Which expression is equivalent to (3x2-7) A) (2x2-11)-(x+4) B) (5x²-6)- (2x2-1) C) (10x² - 4)-(7x2+3 D) (15x2 +8)- (18x2+1)
Answer: (c)
Step-by-step explanation:
Given
The expression is [tex]3x^2-7[/tex]
checking options, for (a)
[tex]\Rightarrow 2x^2-11-x-4\\\Rightarrow 2x^2-x-15[/tex]
option (a) is incorrect
for (b)
[tex]\Rightarrow 5x^2-6-2x^2+1\\\Rightarrow 3x^2-5[/tex]
option(b) is incorrect
for (c)
[tex]\Rightarrow 10x^2-4-7x^2-3\\\Rightarrow 3x^2-7[/tex]
option (c) is matching with the given expression.
HELP!!! Please ASAP
Answer:
which
Step-by-step explanation:
which one is answer
Question 9 of 10
Fill in the blank. In the triangle below, y=
decimal places.
- Round your answer to two
47"
y
35
ze
Answer here
Answer:
y = 51.32º
Step-by-step explanation:
z = 180 - 47 - 90
z = 43º
sin43 = opp/hyp
sin43 = 35/y
y = 35/sin43
y = 51.32º
Someone pls help me I don’t get this
Answer:
Mode :6 Range :5
Step-by-step explanation
To find the mode look for the number that is repeated the most times. And to find the range subtract the greatest number with the smallest number. Hope this helped :)
Step-by-step explanation
The range is the max value minus the minimum value, which would be 8-3, and that equals 5
and the mode is the number that you see the most in a data set, in this case the mode would be 6 since it is the only number that occurs three times
hope this helped
Calculate the interquartile range from the given box plot
Answer:
IQR = 3
Step-by-step explanation:
The interquartile range (IQR) is the difference between the upper quartile Q₃ and the lower quartile Q₁
Q₃ is the value at the right side of the box , that is Q₃ = 62.5
Q₁ is the value at the left side of the box. that is Q₁ = 59.5
Then
IQR = Q₃ - Q₁ = 62.5 - 59.5 = 3
Choose the inequality that represents the following graph.
the answer is C since it needs to be lees than or -2
love how everyone hw on here is geometry and im just here like.... help...
Answer:
nope it isn't a linear function
Step-by-step explanation:
if you put it in a graph it isn't a straight line
Please help with this question
Answer:
Step-by-step explanation:
a) A(t) = 6000 * (1.015)^t
b) 6000 * (1.015)^32 = $9661.94
Find the height of the cylinder given the surface area and one
other dimension:r = 5 in SA
659,4 in?
Answer:
C 16 inches
Step-by-step explanation:
a cylinder is 2 circles (1 on top, 1 at the bottom) and a round "mantle" connecting the two circles.
so, the surface area is the sum of the areas of both circles and the "mantle".
this "mantle" can be cut open and cut off the circles, and then be placed flat on the table. then it is simply a rectangle with the side lengths cylinder height (h) and circle circumference.
circle area : pi × r²
circle circumference : 2 × pi × r
rectangle area :
length × width = circle circumference × h
SA = 659.4 inches² = 2×(pi × r²) + (2×pi×r)×h =
= 2×pi×25 + 2×pi×5×h = 50×pi + 10×pi×h
=> 659.4 - 50×pi = 10×pi×h
=> (659.4 - 50×pi) / (10×pi) = h = 16 inches
Need help asap......
Answer:
32
Step-by-step explanation:
[tex](2x+20)+3x=180\\5x+20=180\\5x=180-20=160\\x=160/5=32[/tex]
Find the surface
Record the answer only
Answer:
150 is the answer
Step-by-step explanation:
Soshi’s rhombus has a base of 12 in and a height of 10 in. Jack’s rhombus has base and height measures that are double those of Soshi’s rhombus. Compare the area of Jack’s rhombus to the area of Soshi’s rhombus. Explain.
Answer:
360
Step-by-step explanation:
i need someone to help me with my math assignments
Answer:
okay depending on the question
Answer:
I can try
Step-by-step explanation:
Need help worth 20 points
Answer:
I believe it's 17.202
Step-by-step explanation:
first Lets add the number of people at the age of 50 and over who have done highschool only and some college.
1942+1057= 2999
then multiply that by 100 divided by the total:total
2999*100/17434=17.20201904
answer 17.202
I would still check though cause i'm not sure if this is correct
I need help please help ASAP?!?!
Answer:
C
Step-by-step explanation:
(x²)(x³) = x 2+3
6 + (-3)
6 - 3
3
Answer:
the answer is c
Step-by-step explanation:
2 exponent 6 = 64
2 exponent -3 = .125
64x.125 = 8
2 exponent 3 = 2x2x2 = 8
(i don't know how to write exponents on my computer)
Find the measure of the indicated angle to the nearest degree
9514 1404 393
Answer:
25°
Step-by-step explanation:
The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(?) = 25/60
? = arcsin(25/60) ≈ 24.62°
The indicated angle is about 25°.
I need help please hurry it needs to get turned in asappppp
Answer:
Did you attach a screenshot of the question? If so, we cannot see it
Step-by-step explanation:
Answer:
11.25
Step-by-step explanation:
What are all of the factor pairs for 18?
Answer:
e
Step-by-step explanation:
because it iiiiiiiiiiiiiiis
Answer:
[tex]\huge\boxed{Factor \ Pairs \ Of \ 18 \hookleftarrow}[/tex]
[tex]1 \times 18 = 18 \\ 2 \times 9 = 18 \\ 3 \times 6 = 18 \\ 6 \times 3 = 18 \\ 9 \times 2 = 18 \\ 18 \times 1 = 18[/tex]
⎆ So, the factor pairs are :-
1, 182, 93, 6 (option E)# ꧁❣ RainbowSalt2²2² ࿐
a dice cube has 6 sides that are numbered 1-6. If the cube is thrown once, what is the probability of rolling an odd number?
Answer:
3/6 or 1/2
Step-by-step explanation:
1, 2, 3, 4, 5, 6
3 odd #s and 3 even #s
3/6 are odd which means 3/6 probability of rolling an odd #
Answer:
1/2
Step-by-step explanation:
There are 3 odd numbers 1,3,5 so 3/6 which equals 1/2
:DDDDD