Write an equation of the line that passes through the given point and is parallel to
the given line.
10. (14, 3); 2y - x - 8
Answer:
y = x - 23
Step-by-step explanation:
The cost of 4 pounds of bananas is $3.52. What is the constant of proportionality that relates the cost of dollars, y, to the number of pounds of bananas, x?
Answer:
B. $0.88
Step-by-step explanation:
x = number of bananas
y = cost of bananas in dollars
Given that 4 bananas cost $3.52, the constant of proportionality that relates cost of bananas, y, to the number of pounds of bananas, x = y/x
y = 3.52
x = 4
Therefore:
Constant of proportionality = [tex] \frac{3.52}{4} = 0.88 [/tex].
Having to do with quantities greater than zero A)positive B)negative C)Debt
Answer:
A)positive
Step-by-step explanation:
All quantities greater than zero will be positive, although zero itself is not considered negative or positive. Also, debt means that something would be owed. This would mean the number is negative and therefore not correct.
Maya is going to an amusement park. The price of admission into the park is $10, and once she is inside the park, she will have to pay $2 for every ride she rides on. How much money would Maya have to pay in total if she goes on 15 rides? How much would she have to pay if she goes on rr rides?
Answer:
the answer is 40 dollars
Step-by-step explanation:
all you have to do is multiply 15x2 and then add 10
Answer:
$40 dallors.
Step-by-step explanation:
First you would do, 2 times 15 and get 30.
Then do 30 plus 10 to get $40 dallors.
Helen is typing a report and is using two different sizes of fonts, as shown below. What is the ratio of the height of a letter typed using font I to the height of a letter typed using font II?
2/9
1/3
3
9
WILL RECIEVE BRAINLIST
Answer: 2/9
Step-by-step explanation:
A diver swims 5.875 feet up to the surface of the water. Which number represents the diver's position in relation to the surface before swimming to the top? -5.9 feet Negative 5 and three-fourthsfeet -58 feet Negative 5 and StartFraction 7 over 8 EndFractionfeet
Answer:
Negative 5 and 7 over 8Step-by-step explanation:
do NOT listen to the other guy.Answer:
Negative 5 and 7 over 8
Step-by-step explanation:
5.875 look at this: 5 "5".87" 5" || and '5.8"7"5' 7 || over '5."8"75 8', you don't need to write the other five 5.87"5" because it is in the beginning of the number/ whole number "5".875
Solve the following equation for x. x = -2 x = 2 x = -17 x = -7 (x - 5)/2 = -6
Step-by-step explanation:
x= -2,
(x - 5) / 2= -6
( (-2) - 5) / 2= -6
(-7) / 2 = -6
-3.5 = - 6
right hand side not equal to left hand side of this equation.so,x= -2 cannot exist for this equation.
x=2,
(x - 5) / 2= -6
(2 - 5) / 2= -6
(-3) / 2= -6
-1.5 = - 6
right hand side not equal to left hand side of this equation.so,x= 2 cannot exist for this equation.
x= -17
(x - 5) / 2= -6
( ( -17) - 5) / 2= -6
(- 22) / 2= -6
-11 = -6
right hand side not equal to left hand side of this equation.so,x= -17 cannot exist for this equation.
x= -7,
(x - 5) / 2= -6
( ( -7) -5) / 2= -6
(-12) / 2= -6
-6= -6
right hand side equal to left hand side of this equation.so,x= -7 exist for this equation.
3. Which property of multiplication is shown by the equation
14.y.1 = 14y?
A. Associative
C. Commutative
B. Distributive
D. Identity
Answer:
identity
Step-by-step explanation:
it states that any number times 1 is equal to itself. so when u have 14y, you can multiply it by 1 and it will remain the same.
Answer:
identity
Step-by-step explanation:
can anyone help i will give brainlist!! also you have to solve the equations using elimination
Step-by-step explanation:
5x+2y=29
5x-2y=41
add the equations
10x=70
divide both sides by ten
x=7
substitute 7 in the first equation
5(7)+2y=29
simplify
35+2y=29
subtract 35 from both sides
2y=-6
simplify
y=-3 x=7
3x+2y=9
5x+2y=12
subtract the equations
-2x=-3
simplify
x=1.5
substitute
3(1.5)+2y=9
simplify
4.5+2y=9
subtract 4.5 from both sides
2y=4.5
simplify
y=2.25 x=1.5
5x+2y=-9
2x-3y=4
multiply first equation by three and second by two
15x+6y=-27
4x-6y=8
add equations
19x=-19
simplify
x=-1
substitute
15(-1)+6y=-27
simplify
-15+6y=-27
add 15 to both sides
6y=-12
simplify
y=-2 x=-1
Select all ratios that are in their simplest form.
A 25:24
B 19:24
C 23:24
D 11:16
E 27:18
Answer:
The ratios in their simplest form are:
A 25:24
B 19:24
C 23:24
D 11:16
Step-by-step explanation:
The ratios are in their simplest form are the ratios that cannot be simplified further.
We will check all the ratios one by one
A 25:24
Cannot be further simplified so it is in the simplest form
B 19:24
Cannot be simplified further.
C 23:24
Cannot be simplified further
D 11:16
Cannot be simplified further
E 27:18
[tex]27:18\\3:2[/tex]
Further simplified, so it was not in simplest form.
Hence,
The ratios in their simplest form are:
A 25:24
B 19:24
C 23:24
D 11:16
Examine the diagram.
A triangle has angles 2, 4, 3. A line extends past angles 3 and 2 to form exterior angle 1.
Name one of the remote interior angles to the exterior angle in the diagram.
Angle 1
Angle 2
Angle 3
The answer is C!
- Got it right on edge :)
- Have a good day !
Carri is trying to run a certain number of miles by the end of this month. If Carrie is 55% of the way to achieving her goal and she has already run 11 miles, how many miles is she trying to run by the end of this month
Answer:
20 miles
Step-by-step explanation:
Let
x = total number of miles she wish to run the end of this month
If Carrie is 55% of the way to achieving her goal and she has already run 11 miles
55% of her total miles = 11 miles
55% of x = 11 miles
55/100 * x = 11 miles
0.55x = 11
Divide both sides by 0.55
x = 11 / 0.55
= 20
x = 20 miles
x = total number of miles she wish to run the end of this month = 20 miles
She is trying to run 20 miles by the end of this month
Find the values of x and y by writing two equations and solving the system of equations.
Answer:
y=2 x=5
Step-by-step explanation:
3x-2y=11
2x-3y=4
you multiply both equations to cancel one variable out. in this case you multiply the first equation by 2 and the second by -3
6x-4y=22
+ -6x-9y=12
--------------------------
0x+5y=10
y=2
you plug that in either equation
3x-2(2)=11
3x-4=11
3x=15
x=5
Write an equation in point slope form for the line that passes through each point with the given slope. (you can press on the photo to see more clear)
Answer:
Question 1: Option C: y -6 = 8(x+4) is the correct answer.
Question 2: Option B: y-1=0 is the correct answer.
Step-by-step explanation:
Question 1(In Picture):
Given point is: (-4,6) and
Slope: m = 8
The point-slope form of equation of a line is given by:
[tex]y - y_1 = m(x-x_1)[/tex]
Here (x1,y1) are the coordinates of the point from which the line passes. Putting (-4,6) in the equation and slope
[tex]y -6 = 8(x+4)[/tex]
Hence,
Option C: y -6 = 8(x+4) is the correct answer.
Question 2:
Given point is: (3,1) and
Slope: m = 0
The point-slope form of equation of a line is given by:
[tex]y - y_1 = m(x-x_1)[/tex]
Here (x1,y1) are the coordinates of the point from which the line passes. Putting (-4,6) in the equation and slope
[tex]y -1 = 0(x-3)\\y-1 = 0[/tex]
Hence,
Option B: y-1=0 is the correct answer.
Hey i need help finding the orthocenter for the following points, please show the steps you used. thanks
(-3, 0.5)
(3,3)
(2,-1)
9514 1404 393
Answer:
(81/43, -31/43) ≈ (1.884, -0.7209)
Step-by-step explanation:
The orthocenter is the intersection point of the altitudes of the triangle. Since this is not a right triangle, you need to find the equations of the altitude lines, then find where those intersect.
If we call the points A, B, C in the order given, the attached figure shows the altitude lines from B perpendicular to AC, and from C perpendicular to AB.
We can find the equation of the perpendicular line using the form ...
∆x·x +∆y·y = c
where ∆x and ∆y are the differences in coordinates between the points on the "side" and the value of constant 'c' is determined by evaluating the expression using x and y as the coordinates of the opposite vertex.
__
For line AC, we have ...
(∆x, ∆y) = C - A = (2, -1) -(-3, 0.5) = (2+3, -1-0.5) = (5, -1.5)
Then the equation of the first altitude line is ...
5x -1.5y = 6(3) -1.5(3) = 10.5
Multiplying by 2 puts this in standard form:
10x -3y = 21
__
For line AB, we have ...
(∆x, ∆y) = B - A = (3, 3) -(-3, 0.5) = (3+3, 3-0.5) = (6, 2.5)
Then the equation of the second altitude line is ...
6x +2.5y = 6(2) +2.5(-1) = 9.5
Multiplying by 2 puts this in standard form:
12x +5y = 19
__
Then the orthocenter is the solution to the system of equations ...
10x -3y -21 = 0
12x +5y -19 = 0
This set of equations can be solved a number of ways. One is the "cross-multiplication" method.
1/(10·5 -12·(-3)) = x/(-3·(-19) -5·(-21)) = y/(-21(12) -(-19)(10))
x = 162/86 = 81/43
y = -62/86 = -31/43
The orthocenter is (81/43, -31/43) ≈ (1.884, -0.7209).
_____
Additional comment
The "cross multiply method" is based on cross products when the equations are written in standard form:
ax +by +c = 0
dx +ey +g = 0
Usually, the coefficients are written in two rows of four, with the first column repeated at the end:
a b c a
d e g d
Then cross products are formed, where diagonal down is positive and diagonal up is subtracted from that:
p1 = (ae -db), p2 = (bg -ec), p3 = (cd -ga)
These give the solution to the equations when put in the form ...
1/p1 = x/p2 = y/p3 ⇒ x = p2/p1 and y = p3/p1
If you look at videos of this "cross multiply method," they will put the 1/p1 at the end of the string of equalities, and they will use the coefficients in the order starting with b instead of a. I find the arrangement here easier to remember, so less likely to get confused.
Further comment
You can, of course, find the slopes of the lines, and their opposite reciprocals, then use a point-slope form or some other method for writing the equations of the altitude lines. The solution to the equations can proceed by substitution or elimination. No doubt these methods are somewhat familiar. The method used here tries to get to the answer much more quickly with a lot less writing. (Unfortunately, it takes a bit of writing to explain it all.)
show the graph of -3x + 10
Answer:
7
Step-by-step explanation:
Answer:
Step-by-step explanation:
-3x+10
To graph:
Plot points at (0,10) and (10/3,0) and draw the line.
Will GIVE BRAINILEST TO WHO ANSWERS
Subtract 9x^2+7x-29x 2 +7x−2 from 8x-108x−10.
Answer:
20x^2 - 107x - 10.
Step-by-step explanation:
8x - 108x - 10 - (9x^2 + 7x -29x^2)
simplifying:
-100x - 10 - (7x - 20x^2)
20x^2-100x - 7x - 10
20x^2 - 107x - 10
Answer:
−9x
2
+x−8
Step-by-step explanation:
PLS HELP!!!
PLS FIND 13 and 15!!
Answer:
go near the bottom tight of the screen the you will see 13 sorry i cant help more then that
Step-by-step explanation:
Please help me....Could you answer these 2 questions correctly?
Answer:
A
Step-by-step explanation:
for the two of them, the first answer is the answer
Answer:
#1 - First option: y + 7 = [tex]\frac{-1}{4}[/tex](x -4)
#2 - First option: y = 2x - 5
Step-by-step explanation:
#1
Given: (x1,y1) = (4,-7) and m = [tex]\frac{-1}{4}[/tex];
To find the point slope form which is
y - y1 = m(x - x1); substitute (x1,y1) and m
y - (-7) = [tex]\frac{-1}{4}[/tex](x -4)
y + 7 = [tex]\frac{-1}{4}[/tex](x -4)
#2
Given: points (x1,y1) = (0, -5) and (x2,y2)=(4,3)
To find the slope we use
m = [tex]\frac{(y2-y1)}{(x2-x1)}[/tex] = [tex]\frac{(3-(-5))}{(4-0)}[/tex] = [tex]\frac{8}{4}[/tex] = 2
Now pick a number to find b
y = mx + b
y1 = mx1 + b
-5 = 2(0) + b
b = -5
now plug into y = mx + b; which is
y = 2x - 5
To find the inverse of f(x) = 2x – 1, Patel begins by replacing f(x) with y. He then switches x and y. What is the next step?
A.Solve the equation for x.
B.Subtract 1 from both sides of the equation.
C.Solve the equation for y.
D.Replace y with f–1(x).
it a
Answer:
Step-by-step explanation:
C. Solve for y
Which equation matches the story: Elena spends $17 and buys a $3 book and a bookmark for each of her 5 cousins. How much does each bookmark cost?
3(x+5)=17
3x+5=17
5(x+3)=17
5x+3=17
Answer:
$2.80
Step-by-step explanation:
17-3=14
14 divided by 5=
2.8
Add 0 since it's about money.
$2.80
HELP????!?!?!??!? {PLEASEEEEEEEE
Answer:
the answer is A
Step-by-step explanation:
I have a feeling in my genitals
Which of the following is equivalent to 7a^4+3a^4
Answer:
Step-by-step explanation:
7a^4 + 3a^4 is 10a^4
How do I solve this equation?
The speed of an object can be found by taking the distance it travels and dividing it by the time it takes to travel that distance. An object travels 100 feet in 2.5 seconds. Let the speed, , be measured in feet per second.Write an equation to represent the relationship between the three quantities (speed, distance, and time).
Answer:
We are given the rule: the speed is the ratio between the distance and the time. So we have
s = d/t = 100/2.5
Choose the slope and y-intercept that
correspond with the graph.
WHAT IS FRICTION BETWEEN????? NEED ANSWERS ASAP
Answer:
Friction is a force between two surfaces that are sliding, or trying to slide, across each other.
Step-by-step explanation:
For example, when you try to push a book along the floor, friction makes this difficult.
Answer:
Friction is the force that opposes motion between any surfaces that are in contact. There are four types of friction: static, sliding, rolling, and fluid friction. Static, sliding, and rolling friction occur between solid surfaces. Fluid friction occurs in liquids and gases.
Step-by-step explanation:
answer correctly please !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!
Answer:
sanaol matalino
Step-by-step explanation:
kase dehins matalino
2^4 - 7^3 – 15^2 = 0
Answer:
False
Step-by-step explanation:
How do I solve 8x+5y=-20 ?
Answer: y=-8/5x-4
Step-by-step explanation:
8x+5y=-20
-8x -8x
5y=-8x-20
/5 /5
y=-8/5x-4