Answer:
[tex]y=-\frac{3}{4}x-\frac{9}{2}[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
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 x is 0)Parallel lines always have the same slope1) Determine the slope (m)
[tex]3x + 4y = 1[/tex]
Rearrange the given equation into slope-intercept form (this will help us determine m)
Subtract 3x from both sides to isolate 4y
[tex]3x + 4y-3x = -3x+1\\4y= -3x+1[/tex]
Divide both sides by 4 to isolate y
[tex]y= -\frac{3}{4} x+\frac{1}{4}[/tex]
Now, we can identify that [tex]-\frac{3}{4}[/tex] is the slope of the line. Parallel lines have the same slope, so this would also be the slope of the line we're solving for. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-\frac{3}{4}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-\frac{3}{4}x+b[/tex]
Plug in the given point (10,-12) and solve for b
[tex]-12=-\frac{3}{4}(10)+b\\-12=-\frac{3}{2}(5)+b\\-12=-\frac{15}{2}+b[/tex]
Add [tex]\frac{15}{2}[/tex] to both sides to isolate b
[tex]-12+\frac{15}{2}=-\frac{15}{2}+b+\frac{15}{2}\\-12+\frac{15}{2}=b\\-\frac{9}{2} =b[/tex]
Therefore, the y-intercept is [tex]-\frac{9}{2}[/tex]. Plug this back into [tex]y=-\frac{3}{4}x+b[/tex]:
[tex]y=-\frac{3}{4}x-\frac{9}{2}[/tex]
I hope this helps!
Solve for x in this equation.
7^3x-17 = 49^x
Answer:
X = 17
Step-by-step explanation:
If you created equivalent expressions with equal bases that should be the answer.
As runners in a marathon go by, volunteers hand them small cone shaped cups of water. The cups have the dimensions shown. Abigail sloshes \dfrac23 3 2 start fraction, 2, divided by, 3, end fraction of the water out of her cup before she gets a chance to drink any. What is the volume of water remaining in Abigail's cup?
Answer:
Volume of water remaining in Abigail's cup = 25.12 cm³
Step-by-step explanation:
As runners in a marathon go by, volunteers hand them small cone shaped cups of water. The cups have the dimensions radius 3 cm and height 8 cm. Abigail sloshes 2/3 of the water out of her cup before she gets a chance to drink any. What is the volume of water remaining in Abigail's cup? Use 3.14 for Pi
Volume of a cone cup = πr²h/3
Radius, r = 3 cm
Height, h = 8 cm
Pi, π = 3.14
Volume of a cone cup = πr²h/3
= (3.14 * 3² * 8) / 3
= (3.14 * 9 * 8) / 3
= 226.08 / 3
= 75.36 cm³
Abigail sloshes 2/3 of the water out of her cup.
What is the volume of water remaining in Abigail's cup
Volume of water Abigail slosh = 2/3 of 75.36 cm³
= 2/3 * 75.36
= 150.72 / 3
= 50.24 cm³
Volume of water remaining in Abigail's cup = Volume of water in the cup - Volume of water Abigail slosh
= 75.36 cm³ - 50.24 cm³
= 25.12 cm³
Volume of water remaining in Abigail's cup = 25.12 cm³
Answer:
25.12
Step-by-step explanation:
I checked in khan
Melissa has a spray paint that covers about 6,500 square centimeters. Can melissa apply two coats of paint to the entire sculpture?
Answer:
This question cannot be solved. It does not say anything about a statue in the first sentence and it doesn't give you the area of the statue.
Step-by-step explanation:
Answer:
Actually, in my math book I had that question. The answer was yes, I don’t remember why, but there was a picture included of the sculpture.
Step-by-step explanation:
You have to find the surface area of the cube and the surface area of the cylinder, but you don’t count the faces (circles). Then you total them, and find your answer. You do 6,500 times 2.
There is a 15% chance it will snow and a 15% chance it will rain. What is the probability that it will be a dry day (meaning that it will neither snow nor rain)? HELP PLS
Answer:
70%, obviously
Step-by-step explanation:
15 + 15 = 30, 100 - 30 = 70
I NEED THIS ANSWER PLEASE LAST QUESTION FOR EXAM PLEASE SHOW WORK
Answer:
x = 8
Step-by-step explanation:
b². b⁵ = b¹⁵/ bˣ
b²⁺⁵ = b¹⁵⁻ˣ
2 + 5 = 15 - x
7 = 15 - x
x = 15 - 7
x= 8
How will she know if 5(3x – 6) is equivalent to 15x – 30?
Answer:
By distributing the parenthesis
Step-by-step explanation:
Given
5(3x - 6) ← multiply each term in the parenthesis by 5
= 15x - 30 ← as required
Your gross pay is $1,878.96, net income is $1,196.34, and fixed expenses are $1,338.54. What is your discretionary income?
Answer:
$0
Step-by-step explanation:
The length of the triangle for the pool table is the twice the sum of 5 and a number. If the rack is equilateral, what is the perimeter, in inches, of the triangle?
Answer:
30 + 6x inches
Step-by-step explanation:
Let the required number be x
If the length of the triangle for the pool table is twice the sum of 5 and a number
L = 2(5+x)
L = 10+2x
Since the triangle is quadrilateral, this means that all sides are equal
Perimeter = 3L
Perimeter = 3(10+2x)
Perimeter = 30+6x
Hence the perimeter, in inches, of the triangle is 30 + 6x inches
How many kilograms are equivalent to 5 pounds?
Answer: the answer is 2.25 kg
Step-by-step explanation:
Which equation represents a proportional relationship that has a constant of proportionality equal to 2?
y = x + 2
y = x/2
y = 2 x
y = 2
pls hurry
If it takes star 1/2 a can of sauce to cover 3/4 of a pizza,compute the unit rate in terms of cans of sauce per pizza
Which equation represents a relationship where y is a nonlinear function
of x?
O x = -6y
O y = IxI- 3
O 3x + 4y = 8
O 4x - 3y + 2 = 8x-5y+12929
Step-by-step explanation:
if you use the online graphing calculator it will help you
24 : 56 is equivalent to 3 : __
Answer:
3 : 7
Step-by-step explanation:
24/56 = 3 / 7
Answer:
3:7 helpful answer to your question have a nice evening
Aidan is saving money to buy a new computer. He made a scatter plot and a linear model for the amount of money he has saved over the past eight weeks. The equation of the line is y = 17.63x + 27.52 . Use the model to predict how much aidan saved over five weeks
Answer:
Aidan saved 115.67 over five weeks.
Step-by-step explanation:
After x weeks:
The amount of money saved by Aidan is given by:
[tex]y(x) = 17.63x + 27.52[/tex]
How much aidan saved over five weeks?
This is y when x = 5. So
[tex]y(x) = 17.63x + 27.52[/tex]
[tex]y(5) = 17.63*5 + 27.52 = 115.67[/tex]
Aidan saved 115.67 over five weeks.
x=3, and y=-4: -5(x-2) + 3y
Answer:
-17
Step-by-step explanation:
Substitute 3 for x and -4 for y
-5(x-2) + 3y
-5 ( 3 - 2 ) + 3 * -4
-5 * 1 + 3 * -4
-5 - 12
-17
what is the relationship between vectors u={1,0} and v={0,-3}?
Answer: Hi, your answer would be
C) The vectors are orthogonal because the angle between them is 90°.
tan145+tan85/1-tan145*tan85 as asingle funciton
Answer:
Step-by-step explanation:
Tan 145 = - 0.7002
Tan 85 = 11.43
Tan 145 + tan 85 = 10.7298
1 - tan(145)* tan(85) = 9.003
(Tan(145) + Tan(85)) / (9.003)
= 10.73 / 9.003
= 1.1918
I misread the question. If you mean
(Tan145+tan85) /1-tan145*tan85 (brackets are really important here)
then the answer is
Tan(145 + 85)
= Tan(230)
= 1.1918
8(2x - 9) = 4(5 + 4x) solve for x
Answer:
No solutions
Step-by-step explanation:
8(2x - 9) = 4(5 + 4x)
Distribute the 8
16x - 72 = 4(5 + 4x)
Distribute the 4.
16x - 72 = 20 + 16x
Add 72 to both sides
16x = 92 + 16x
Subtract 16x from both sides
0 = 92
0 does not equal 92 therefore there are no solutions
Answer:
No solution
Step-by-step explanation:
8(2x - 9) = 4(5 + 4x)
Simplify
8(2x−9).
Start simplifying.
0+0+8(2x−9)=4(5+4x)
Simplify by adding zeros.
8(2x−9)=4(5+4x)
Apply the distributive property.
8(2x)+8(−9)=4(5+4x)
Multiply 2 by 8.
16x+8(−9)=4(5+4x)
Multiply 8 by −9.
16x−72=4(5+4x)
Simplify
4(5+4x).
Apply the distributive property.
16x−72=4×5+4(4x)
Multiply 4 by 5.
16x−72=20+4(4x)
Multiply 4 by 4.
16x−72=20+16x
Move all terms containing x to the left side of the equation.
Subtract 16x from both sides of the equation.
16x−72−16x=20
Combine the opposite terms in
16x−72−16x.
Subtract 16x from 16x.
0−72=20
Subtract 72 from 0.
−72=20
Since −72 ≠ 20, there are no solutions.
Hope it is helpful...This was wrong.. Why?
Answer:
I think it's 9/22
Step-by-step explanation:
Probability of A given B = (probability of A and B)/probability of B
[tex]\frac{(14/22)(9/22)}{14/22} \\=\frac{9}{22}[/tex]
P(B) = P(1 checked bag) = 14/22
P(A) = P(silver status) = 9/22
P(A ∩ B) = (14/22)(9/22)
The evolutionary pathways of ten different species are represented in the diagram below. SA Which two species are the most closely related?
E and I
G and J
A and F
O and D
Answer:
I don't see an O in the picture at all.
but here's how you solve it: just count the nodes between the species, the fewer the closer
I would go for E and I, only one step between them
Any answers for this question
Step-by-step explanation:
hear is your both answer
32% of a number is 64 what is the number
Answer:
If you take 32 percent of a number and get 64, then what is that number? In other words, you know that 32 percent of a number is 64 and you want to know what that initial number is. Therefore, the answer to "64 is 32 percent of what number?" is 200, and you can also derive that 32 percent of 200 equals 64.
Step-by-step explanation:
200
Step-by-step explanation:
32% x = 64
(32/100)x= 64
0.32x=64
x=64÷0.32
x=200
Can someone help me with this question please
Answer:
A. Conditional Statement
Step-by-step explanation:
In a conditional statement, A would be the premise, and B would be the conclusion.
---------------------------------------------------------------------------------------------------------------
Have a great summer :)
in Lisa’s school, 53% of students take a bus to school, 38% go the bus riders were late one snowy morning. 25% of students who don’t take a bus to school were not late that morning. What percent of students who do not take the bus was late that morning?
Answer:
I got 53% but I'm not sure
Step-by-step explanation:
if 53% of students take the bus, then 47% of students DON'T.
25% (the percent of non-riding students who were late) of 47 is about 53%
Math help please urgent
Answer:
area of circle is 2πr²
= 2 x 3.14 x 8 x 8
= 402 cm
Write an algorithm to find sum of first ten even numbers?
plz do it ... if you do i will mark brainliest
Answer:
n(n+1)
This is the answer I know
The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. What are the restrictions on the domain of (u circle v) (x)?
Answer:
A≈1075.21
d Diameter
37
d
r
r
r
d
d
C
A
Using the formulas
A=
π
r
2
d=
2
r
Solving forA
A=
1
4
π
d
2
=
h1
4
π
37
2
≈
1075.21009
Step-by-step explanation:
¿Numeros entre 0,1 y 0,5?
Answer:
0.2
0.3
0.4
Step-by-step explanation:
Find a round to the nearest tenth a 150 12 10cm c a=?cm
Answer:
[tex]Using~ the ~ law~ of ~sinse:-[/tex][tex]\frac{a}{SinA} =\frac{b}{SinB}[/tex][tex]\frac{a}{Sin150}[/tex][tex]=\frac{b}{SinB}[/tex][tex]a=\frac{10~sin~150}{Sin~12}[/tex][tex]a=[24] ~cm[/tex]-----------------------hope it helps..have a great day!!Luis wants to change companies for his phone service. Company SaveMore charges $16 for the initial service plus $0.20 for every 1 text of use.Write an equation that represents the cost of the service, with the cost of the constant number of text, t added After how many texts will the two companies be the same charge for the service?
Answer:
[tex]y = 16 + 0.2t[/tex] --- the equation of SaveMore company
Step-by-step explanation:
Given
SaveMore
[tex]Initial = 16[/tex]
[tex]Additional\ Rate = 0.20[/tex]
Required
Determine the equation
Let
[tex]y \to cost[/tex]
[tex]t \to texts[/tex]
So, we have:
[tex]y = Initial + Additional\ Rate * t[/tex]
[tex]y = 16 + 0.20 * t[/tex]
[tex]y = 16 + 0.2t[/tex]
The equation for the second company is not given. So, the (b) part cannot be correctly answered.
A general solution to the (b) part is:
Assume the equation is:
[tex]y = 10 + 0.4t[/tex]
Next, we equate both
i.e.
[tex]y = y[/tex]
This gives:
[tex]16 + 0.2t = 10 + 0.4t[/tex]
Collect like terms
[tex]0.4t - 0.2t = 16 - 10[/tex]
[tex]0.2t = 6[/tex]
Divide by 0.2
[tex]t = 30[/tex]
Hence, the charges will be the same after 30 texts