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!
Which of the following is a solution of y - x>-3?
O (62)
O (2,6)
O (2,-1)
Answer:
the ordered pair (2, 6) is the answer
Step-by-step explanation:
y - x > -3
you can use substitution for each option:
2 - 6 > -3 False, -4 is not > -3
6 - 2 > -3 True, 4 is not > -3
-1 - 2 > -3 False, -3 is not > -3
Write the ratio as a fraction in simplest form.
1. 8 to 14
2. 36 even : 12 odd
3. 42 vanilla to 48 chocolate
Find the unit rate.
4. $2.50 for 5 ounces
5. 15 degrees in 2 hours
6. 183 miles in 3 hours
What is the answer to all these questions?
1. 4 to 7
2. 3 even : 1 odd
3. 6 vanilla to 8 chocolate
2. It takes Samuel 5 hour to walk a mile.
Yesterday, Samuel walked for 13 hours.
Write a multiplication equation that can
be used to find the number of miles
Samuel walked. (Example 1)
Answer:
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
13/5
Decimal Form:
2.6
Mixed Number Form:
2 3/5
Step-by-step explanation:
Look at the picture!
Answer:
6 3/8 pounds (also 6.375 pounds)
Step-by-step explanation:
2 2/3 + 1 5/6 + 1 7/8 = x
8/3 + 11/6 + 15/8 = x
(multiply each fraction by to create the denominator 24)
8/3 x 8/8 = 64/24
11/6 x 4/4 = 44/24
15/8 x 3/3 = 45/24
64/24 + 44/24 = 108/24
108/24 + 45/24 = 153/24
153/24 = 6.375 = 6 3/8
The volume of a sphere of radius 3 cm is
(A)
9x cm
(B)
18.t cm
(C)
27 cm
(D)
36 cm
Answer:
3^3 = 27
27 * 3.14 = 84.78
84.78 * 4/3 = 113.04 is your answer.
Formula of volume of sphere is:
4/3 x π(3.14 or 22/7 whatever they tell you to use for pi) x r^3(your radius being cubed)
You get your radius by finding out what is half of your diameter or your given radius.
A painter is to mix green and yellow paint in the ratio of 4 to 7 to obtain the color she wants.
If she has 28 liters of green paint, how many liters of yellow paint should be added?
A. 11
B. 16
C. 28
O D. 49
E. 196
Answer:
D. 49
Step-by-step explanation:
Create a proportion where x is the number of liters of yellow paint she should use:
[tex]\frac{4}{7}[/tex] = [tex]\frac{28}{x}[/tex]
Cross multiply and solve for x:
4x = 196
x = 49
So, she should add 49 liters of yellow paint.
The correct answer is D. 49
A ship is at a distance of 200 m from a tall tower. What is the angle of depression (to the nearest degree) of the ship found by a man after climbing 50 m up the tower?
Answer:
14degrees
Step-by-step explanation:
Given the following
Distance of ship from the tower = 200m
Height of the tower = 50m
Required
Angle of depression theta
USing the SOH CAH TOA identity
Tan theta = opposite/adj
Tan theta = 50/200
Tan theta = 1/4
theta = arctan(0.25)
theta = 14.03degrees
Hence the angle of depression is 14degrees
Someone please help <3
How many solutions does the equation 6n − 6n − 12 = 14 − 2 have?
Thank you!!
Answer:
i think there's zero solutions
rationalise 1/√5 please tell
Answer:
Step-by-step explanation:
1/[tex]\sqrt{5}[/tex]
=1[tex]\sqrt{5}[/tex] *[tex]\sqrt{5}[/tex]/[tex]\sqrt{5}[/tex]
=1*[tex]\sqrt{5}[/tex]/[tex]\sqrt{5}[/tex]*[tex]\sqrt{5}[/tex]
=1[tex]\sqrt{5}[/tex]/5
PLEASE HELPP!
A cylinder has the volume of 1000 pi show with working that if the height = 20cm then the radius = 5 cm.
Answer:
5^2 = 100
100 x 3.14 = 314
Now we multiply by 20 since it's the height.
314 x 20 = 6,280 cm^3 is your answer.
Formula of cylinder:
H x πr^2
Height x pi(3.14 or 22/7 depending what they tell you to use for pi) x radius being squared (your radius is half of your diameter or given radius).
Which value(s) of x are solution(s) of the equation below
Answer:
x =-1 , x=4Step-by-step explanation:
[tex]\frac{1}{x-4}+\frac{x}{x-2}=\frac{2}{x^2-6x+8}\\\\\mathrm{Multiply\:by\:LCM=}\left(x-4\right)\left(x-2\right)\\\\\frac{1}{x-4}\left(x-4\right)\left(x-2\right)+\frac{x}{x-2}\left(x-4\right)\left(x-2\right)=\frac{2}{x^2-6x+8}\left(x-4\right)\left(x-2\right)\\\\Simplify\\\\x-2+x\left(x-4\right)=2\\\\Solve\\\\x=4,\:x=-1[/tex]
Answer:
[tex] \frac{1}{x - 4} + \frac{x}{x - 2} = \frac{2}{ {x}^{2} - 6x + 8} \\ \\ \frac{1}{x - 4} + \frac{x}{x - 2} = \frac{2}{(x - 4)(x - 2)} \\ \\ \frac{(x - 2) + x(x - 4)}{(x - 4)(x - 2)} = \frac{2}{(x - 4)(x - 2)} \\ \\ x - 2 + {x }^{2} - 4x = 2 \\ \\ {x}^{2} - 3x - 4 = 0 \\ (x - 4)(x + 1) = 0 \\ x = 4 \: \: and \: \: x = - 1[/tex]
Which graph represents the parametric equations x = t^2 + 2t and y = –t, where –4 ≤ t ≤ 1?
Answer:
We have:
x = t^2 + 2*t
y = -t
where:
–4 ≤ t ≤ 1
Isolating t in the "y" equation, we get:
t = -y
Now we can use the limits of t, to find similar limits for y.
When t = -4
-4 = -y
4 = y
when t = 1
1 = -y
-1 = y
Then the limits for y are:
-1 < y < 4
Now, knowing that t = -y
we can replace that in the "x" equation:
x = t^2 + 2*t
x = (-y)^2 + 2*(-y)
x = y^2 - 2*y
Then the graph of the parametric equation is the one defined by:
x = y^2 - 2*y
in the range
-1 < y < 4
The graph of this can be seen below, where the two black dots are the points where the graph should start/end.
The graph that represents the parametric equations is a parabola with an axis of symmetry is parallel to the x-axis.
An approach to determine the possible graph consists in eliminating [tex]t[/tex] and simplify the resulting expression of the form [tex]f(x)[/tex]:
[tex]x = t^{2}+2\cdot t[/tex] (1)
[tex]y = -t[/tex] (2)
By (2):
[tex]t = -y[/tex]
(2) in (1):
[tex]x = (-y)^{2} + 2\cdot (-y)[/tex]
[tex]x = y^{2}-2\cdot y[/tex]
In a nutshell, the graph that represents the parametric equations is a parabola with an axis of symmetry is parallel to the x-axis.
To learn more on parametric equations, we kindly invite to check this verified question: https://brainly.com/question/9056657
Someone please help me out!!
Answer:
That's a right angled Triangle
When viewed upside down
(HINT: 50 can't possibly be the adjacent; Why? Its the longest side(Hypotenuse)... You can also know this by identifying the part of the triangle directly facing the 90° sign)
tanA= Opp/Adj
tanA= 30/40
tanA= 3/4
OPTION D SEEMS LEGIT!!!
What is the area of this triangle?
show all work. Write the equation of the line in slope intercept form (-5, -5) & (-1, 3)
Answer:
y = 2x + 5
Step-by-step explanation:
(-5 , -5) & (-1 , 3)
Slope =[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]=\frac{3-[-5]}{-1-[-5]}\\\\=\frac{3+5}{-1+5}\\\\=\frac{8}{4}\\\\= 2[/tex]
m = 2 & (-5 , -5)
Y -y1 = m(x -x1)
y - [-5] = 2(x - [-5] )
y + 5 = 2 (x + 5)
y+ 5 = 2x + 2*5
y = 2x + 10 - 5
y = 2x + 5
hey! i’ll give brainliest please help
Answer:
The 4th answer
Step-by-step explanation:
Answer:
D
hope this helps
have a good day :)
Step-by-step explanation:
s=10 what is the volume of the prism
the bearing of point x from point is 148 find the bearing of y from x solve it
Pam needs to spend less than $40 on her school supplies. She spends $12 on a
new calculator and wants to buy 7 binders. Write an inequality to model this
situation. Create a variable to represent unknown information. *
Answer:
(40-12)-(x·7)
Step-by-step explanation:
x is the price foreach of the 7 binders
2. Brandon has 4 1/2 cups of oats. He uses 3 1/4 cups to make oats for a camping trip. He saves the rest of the oats to feed to his bird, Coco. If Coco needs ¼ of a cup of oats each day, how many days can Brandon feed Coco with the oats he has left? Answer must be a whole number
4 1/2 - 3 1/4
.= 9/2 - 13/4
= 18-13/4
= 5/4 cups
= 5/4 cups ÷ 1/4 cups
= 5/4 × 4/1
= 20/4
= 5 days
Days can Brandon feed
Find z.
What is the length of the missing leg?
b = _____ miles
Answer:
5√3
Step-by-step explanation:
tan30= 5/z
1/√3= 5/z
z= 5√3
I don't like doing math help if you know :)
Answer:
Step-by-step explanation:
-(2x+1)
-2x-1
write -2 in that bos and 1 after "-"
To what amount will $8000 growing if it is invested for 12 years at 6% compounded quarterly
Answer:
The final balance is $16,406.01.
The total compound interest is $8,406.01
Step-by-step explanation:
take the initial balance and multiply that by the interest then take 12 and multiply that times the previous answer.
Why DEF and STU are similar?
Answer:
They are similar because they both are in one page.SMART.HElp asap PLZZZZZZZZZZZZ!!!!!!!!!!!!!!!!
[tex] \huge{ \mathcal{ \underline{ Answer }\: \: ✓ }}[/tex]
The given figure is a sphere :
[tex] \boxed{ \mathrm{volume = \frac{4}{3}\pi {r}^{3} }}[/tex]
[tex] \dfrac{4}{3} \times \dfrac{22}{7} \times 4 \times 4 \times 4[/tex][tex] \dfrac{5632}{21} [/tex][tex]268.1 \: \: mi {}^{3} [/tex]_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \: ☠}[/tex]
Six friends are sharing the cost for a pizza
party p equally. Each person paid $15.25.
Find the total cost of the pizza party.
Answer:
4
Step-by-step explanation:
Given AE and BD bisect each other at point c, which congruence theorem would you use to prove triangle ABC =~ triangle EDC ?
Q6.
.
Make t the subject of the formula w = 3t + 11
Answer:
t = w/3-11/3
Step-by-step explanation:
w = 3t + 11
3t = w-11
t = 1/3(w-11
t = w/3-11/3
Help quick please!!!
What Is the equation in slope-intercept form of the line that passes through the point (0-4) and is parallel to the line represented by y = x +4?
O y = 2x - 6
O y=-x+6
O y=-2x5
O y=x-4
Answer:
y = x-4
Step-by-step explanation:
y = x +4
This has a slope of 1 since it is in the form y = mx+b where m is the slope and b is the y intercept
Parallel lines have the same slope
The line we are interested in passes through the point (0,-4) which means it has a y intercept of -5
y = mx+b
y = 1x-4
y = x-4
Just help me please don’t ignore me
Answer:
See https://brainly.com/question/23882263 for A and B parts of the first questiond)
[tex]HF = \sqrt{EH^2+EF^2} = \sqrt{2^2+3^2} = \sqrt{13}[/tex]#2
[tex]d = \sqrt{2^2+5^2} = \sqrt{4+25} = \sqrt{29}[/tex]#3
Diagonals are perpendicular. Side length of the rhombus:
[tex]a = \sqrt{(8/2)^2+(6/2)^2} = \sqrt{4^2+3^2} = \sqrt{25} = 5[/tex]Perimeter:
P = 4a = 4(5) = 20