The constant of proportionality in the equation y=1/2x
is 1/2
The direct proportionality between x and y is established by :
y α x
α = proportionality symbol
y = kx - - - (1)
Where;
y and x are the variables
k = proportionality constant
Comparing (1) with the equation given : y=1/2x y=kx
The value of k aligns with 1/2 in the given equation.
Therefore, the constant of proportionality, k in the equation is 1/2
Answer:
yo yo yo! here to help :) answer is 1/2
. Write the equation of a line passing through the points (3,-1) and (6,7).
(Hint - Use the Calculator)
Step-by-step explanation:
the most usual firm of line equation is
y = ax + b
a is the slope of the line and is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
b is the y-interception (the bake of y when x = 0).
once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and solve for b.
the slope a :
x changes by +3 (from 3 to 6)
y changes by +8 (from -1 to 7)
so, the slope is +8/+3 = 8/3
our line equation now looks like
y = (8/3)x + b
let's simply use the first point
-1 = (8/3)×3 + b
-1 = 24/3 + b = 8 + b
-9 = b
and the full line equation is
y = (8/3)x - 9
At the produce store you can buy 5 bags of bananas for $23.15 . How much would it cost if you were to buy 6 bags?
Answer: $26.16
Step-by-step explanation:
23.15 / 5 = 4.63
4.63 x 6 = $26.16
A polyhedron has 6 faces and 7 vertices, how many edges does it have explain your answer
Indeed it in 5mins hurry plsssss
Answer: 12
Step-by-step explanation:
As a civil engineer, you are drafting the plans
for a new water treatment plant. The water
mains for this plant measure 48 inches in
diameter. At each joint between pipes in the
main, a strip of rubber will be bonded to the
outside of the pipe joint to improve the seal.
About how long will the rubber seal be when
it is trimmed to fit around the pipe?
The distance around a circle is the circumference.
Circumference = Pi x diameter.
Circumference = 3.14 x 48
Circumference = 150.72 inches
Round the answer as needed.
how many solutions does  3x+9=25x+14 have?
Answer:
one solution
Step-by-step explanation:
3x + 9 = 25x + 14
-3x -3x
9 = 22x + 14
-14 - 14
-5 = 22x
find the length of segment AB
help me please someone
Step-by-step explanation:
a scale factor means that every dimension or line in the original object is multiplied with the exact same factor to create a transformed (larger or smaller) new object.
the area of an object (including a simple form like this rectangle) is always the product of 2 dimensions.
that means the scale factor is multiplied in twice creating a squared factor for the area of the new object.
so, yes, therefore the area grows or shrinks with the square of the scale factor.
FYI - following the same reason, the volume grows or shrinks with the power of 3 of the scale factor.
1. k=2
new area = k² × old area = 4 × 12 = 48 square units.
2. k=5
new area = k² × old area = 25 × 12 = 300 square units.
3. k=1
new area = k² × old area = 1 × 12 = 12 square units.
4. k=1/4
new area = k² × old area = 1/16 × 12 = 12/16 = 3/4 square units.
5. k=1.2
new area = k² × old area = (1.2)² × 12 = (12/10)² × 12 = (6/5)² × 12 = 36/25 × 12 or 1.44 × 12 = 432/25 = 17.28 square units.
Please help and no links!!!!
Answer: 18
Step-by-step explanation:
Find the value of z
Answer:
z = 9 I think
Step-by-step explanation:
Because I did the quiz
Solve for c.
c= -9 - 8c
c=-9-8c
+8c
9c=-9
c=-1
Hope this helps:D!!
The letter C is equal to negative one.
c = -1
Hope this helps!
please answer this for me!!
Answer:
x = 40
y = 8
Step-by-step explanation:
3x-9 = 2x+31
3x-2x = 31+9
x = 40
4y+5 = 2y+21
4y-2y = 21-5
2y=16
y=8
Evaluate g(x)=4−3x when x=−3, 0, and 5
Answer:
13, 4, and -11
Step-by-step explanation:
g(-3)=4+9=13
g(0)=4+0=4
g(5)=4-15=-11
How to do the 9 multiplication trick.
Answer:
0123456789
9876543210
Step-by-step explanation:
09
18
27
36
45
54
63
72
81
90
Answer:
Step-by-step explanation:
for each 9 you add, take away 1 from the first number and add 10, like
81
72
63
52
41
32
23
18
9
15 metres at a speed of 20 cm/s (answer in seconds) a
Here's the perfect answer.
PLEASE MARK ME BRAINLIEST
. A triangle has an angle that measures 85°. The other two angles are in a ratio of 6:13. What are the measures of those two angles?
AND EXPLAIN THE STEPS
Answer:
Smaller angle : 30 degrees
Bigger Angle : 65 degrees
Step-by-step explanation:
85+6x+13x=180, 85+19x=180,19x=95,x=5
Smaller angle : 30
Bigger Angle : 65
Select the choice that translates the following verbal phrase correctly to algebra: (1 point)
the product of 12 and y increased by 11
12(y + 11)
12y + 11
12 + 11y
12(11y)
Answer:
[tex]⟼12(y + 11)[/tex]
Please help! WILL MARK BRAINLIEST
Answer:
50
Step-by-step explanation:
What are the solutions of y=x^2+5x-7
Answer:
You have two variables, and only one condition. It means you have infinite solutions of the form [tex](t; t^2+5t-7)[/tex]. Technically correct, probably not what you want to know.
If you wanted to know if and where the RHS crosses the x axis, the points are the solution to
[tex]x^2+5x-7= 0 \rightarrow x=\frac12(-5\pm\sqrt{25+28})\\x_1= \frac12(\sqrt{53}-5); x_2=-\frac12(\sqrt{53}+5)[/tex]
If you wanted the graph it's a parabola passing through the two points we just found, (0;-7), and with an axis of equation [tex]x=-\frac52[/tex].
Is this graph proportional or non-proportional? How do you know?
Answer:
It is a proportional graph.
Step-by-step explanation:
By definition, a proportional graph is a graph which goes through the origin (O), in this picture the graph appears to indeed go through the origin, and is thus proportional.
y+5 = -3/2(x-2) in slope intercept form
Answer:
y = -3/2x -2
Step-by-step explanation:
Solve for y:
y +5 = -3/2x +3 . . . . . eliminate parentheses
y = -3/2x -2 . . . . . . . . subtract 5
The slope-intercept form of the equation is ...
y = -3/2x -2
Answer:
[tex]y = -\frac{3}{2} x -2[/tex]
Step-by-step explanation:
[tex]y+5=-\frac{3}{2} (x-2)[/tex]
The slope-intercept form is [tex]y =mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the [tex]y[/tex]-intercept.
[tex]\mathrm{Simplify}: -\frac{3}{2} \cdot(x-2)[/tex]
[tex]\mathrm{Move\: all\: terms\: not\: containing}\:\bold{y}\: \mathrm{to\: the\: right\: side\: of\: the\: equation.}[/tex]
[tex]\sf{Then,\:rewrite\: in\: slope-intercept\: form.[/tex]
how do you subtract fractions with like numerators
Answer:
Step-by-step explanation:
To SUBTRACT fractions with like or the same denominator, just subtract the numerators then copy the common denominator. Always reduce your final answer to its lowest term.
What is a rate in math.
Answer:
a ratio between two different units
for example 60miles per 5 hours
Step-by-step explanation:
let me know if you need unit rate yoo :)
If x = − 6, which number line shows the value of |x|?
Answer:
I would say the one that has the blue dot. bc, the absolute value of -6 is 6.
Answer:
The second one -6[------------]0 with 6 on top.
Step-by-step explanation:
can someone help me with this please:)
Answer:
A
Step-by-step explanation:
[tex]2 \sqrt{3} + \sqrt{9} \times \sqrt{ - 1} = 2 \sqrt{3} + 3i[/tex]
need help with pre-cal please
Answer:
x = n² ± n√(n² + 8)Step-by-step explanation:
x ≠ 0, n ≠ 04/x² + 1/x = 1/(2n²)(x + 4)/x² = 1/(2n²)2n²(x + 4) = x²x² - 2n²x - 8n² = 0D = (-2n²)² - 4(-8n²) = 4n⁴ + 32n² = 4n²(n² + 8)x = (2n² ± 2n√(n² + 8))/2x = n² ± n√(n² + 8)24+18a=
help i can not get the answer
Which line is perpendicular to the line x =
į
?
O A. X = -2y
B. y = - 2x
O
C. X = -2
O
D. y = 2
what does coplanar mean?
Answer:
Step-by-step explanation:
Co-planer
When points are in the same plane it means that the points are co-planer.
Answer:
In geometry, a set of points in space are coplanar if there exists a geometric plane that contains them all.
How would you write 12 as a Roman numeral?
Answer:
ⅠⅠⅩ
Step-by-step explanation:
ok
Answer:
Step-by-step explanation:
Therefore, 12 in roman numerals is written as XII = X + II = 10 + 2 = XII.
Find the slope for the table.
Answer:
2
Step-by-step explanation:
as x increases by 2, y increases by 4, slope= rise/run, so the slope= 4/2=2
