Answer:
Option (2)
Step-by-step explanation:
Given equation of a line → y = [tex]\frac{1}{2}x+3[/tex]
Slope of the line 'm₁' = [tex]\frac{1}{2}[/tex]
Let the equation of a line perpendicular to the given line is,
y = m₂x + b
Here, m₂ = Slope of the perpendicular line
b = y-intercept
By the property of perpendicular lines,
m₁ × m₂ = -1
Therefore, [tex]\frac{1}{2}\times m_{2}=-1[/tex]
m₂ = -2
Equation of the perpendicular line will be,
y = -2x + b
Since the perpendicular line passes through a point (-3, 4)
4 = 6 + b
b = -2
Therefore, equation of the perpendicular line wiil be,
y = -2x - 2
Option (2) will be the answer.
write 0.87878787.... as a fraction
Step-by-step explanation:
To write 0.87878787 as a fraction you have to write 0.87878787 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
0.87878787 = 0.87878787/1 = 8.7878787/10 = 87.878787/100 = 878.78787/1000 = 8787.8787/10000 = 87878.787/100000 = 878787.87/1000000 = 8787878.7/10000000 = 87878787/100000000
And finally we have:
0.87878787 as a fraction equals 87878787/100000000
PLEASE THANK, RATE AND FOLLOW ME OK
HOPE IT HELPS YOU
Im being lazy hewp pwease :(
Answer:
(-3,0)
Step-by-step explanation:
the vertex is where the quadratic function reaches its maximum or minimum height and as you can see on this graph the maximum height of this equation is at the (-3,0) point meaning that (-3,0) is the vertex
Factorise x squared-x
Answer:
x^2 - x
=
x(x-1)
Step-by-step explanation:
On Monday Mason ran k kilometers on Tuesday he ran one third of the distance he ran on Monday what is a expression to represent the distance mason ran on both days
Answer:
4/3 k Km
Step-by-step explanation:
We are given that
On Monday
Mason ran distance =k Km
On Tuesday
Mason ran distance=[tex]\frac{1}{3} k Km[/tex]
We have to find the expression which represents the distance ran by Mason on both days.
Total distance ran by Mason on both days
=[tex]k+\frac{1}{3}k[/tex]
[tex]=\frac{3k+k}{3}[/tex]
[tex]=\frac{4}{3}k[/tex]
Hence, total distance ran by Mason on both days=4/3 k Km
4a -3 = 2a +7
what's a?
Answer:
a =5
Step-by-step explanation:
4a -3 = 2a +7
Subtract 2a from each side
4a-2a -3 = 2a-2a +7
2a-3 =7
Add 3 to each side
2a-3+3 = 7+3
2a=10
Divide each side by 2
2a/2 = 10/2
a =5
Answer:
a=5
Step-by-step explanation:
4a-3+3=2a+7+3
4a=2a+10
4a-2a=2a+10-2a
2a=10
a=5
smile math ok so if 4 is divided by 20 whats the answer
Answer:
5
Step-by-step explanation:
8 of 10
What is the decimal multiplier to decrease by 0.4%?
Answer 40%
Step-by-step explanation:
Are the ratios proportional? 2/3 4/6
Answer:
Yes, 2/3 is equal to 4/6.
Step-by-step explanation:
2/3 is just the simplified version of 4/6
Use the equation r =2.1x^2 -14.3x +35, where x is the number of years after 2000, to determine the revenue from the sales of U.S. Recorded albums in the years 2000, 2001, 2002, 2003, 2005, 2010 and 2018. How would you describe the trend in the revenue from albums? To what do you attribute this?
Answer:
Step-by-step explanation:
Given that:
[tex]r = 2.1x^2 - 14.3x + 35[/tex]
For year 2000; x = 0
So; [tex]r (0) = 2.1(0)^2 - 14.3(0) + 35[/tex]
[tex]r (0) = 35[/tex]
For year 2001; x = 1
[tex]r (1) = 2.1(1)^2 - 14.3(1) + 35[/tex]
[tex]r (1) =22.8[/tex]
For year 2002; x = 2
[tex]r (2) = 2.1(2)^2 - 14.3(2) + 35[/tex]
[tex]r (2) = 14.8[/tex]
For year 2003; x = 3
[tex]r (3) = 2.1(3)^2 - 14.3(3) + 35[/tex]
[tex]r (3) = 11[/tex]
For year 2005; x = 5
[tex]r (5) = 2.1(5)^2 - 14.3(5) + 35[/tex]
r(5) = 16
For year 2010; x = 10
[tex]r (10) = 2.1(10)^2 - 14.3(10) + 35[/tex]
[tex]r(10) = 102[/tex]
For year 2018; x =18
[tex]r(18) = 2.1(18)^2 - 14.3 (18) + 35[/tex]
[tex]r(18) = 458[/tex]
Thus, the table can be presented as seen below.
Year 2000 2001 2002 2003 2005 2010 2018
x 0 1 2 3 5 10 18
r(x) 35 22.8 14.8 11 16 102 458
SO, we will notice that the revenue for the albums starts decreasing and when it reaches the minimum, it started increasing with increasing x.
The attribute behind this trend is because the revenue function r(x) typically implies that it is a quadratic function.
PLS HELP!!!! A rectangle shown has a length of 11cm and a width of 4.2cm. A circle is drawn inside that touches the rectangle at two points. which is the closest to the total area of the shaded region?
A) 9.19cm
B)101.59cm
C)60.05cm
D)32.35cm
sry about my bad drawing skills. giving brainliest to whoever gives an answer and explanation
Answer:
C
Step-by-step explanation:
PLEASE HELP!! will mark brainliest and give a bunch of points!!
If (0, y) is the solution for the following system of equations, solve for the value of y.
x - 5y = 5
y = -5x - 1
Answer:
x-5y=5 that's the answer
100 points please answer I need to bring my grade up
reasons why meals in space is more complicated than preparing meals on earth.
Answer:
preparing food in space is complicated for many reasons some are microgravity, some foods are not perfected and some foods do not meet the requirements of space food. astronauts can't sprinkle salt and pepper on their food in space. They just float away because of microgravity.
The bubbles of carbon dioxide in carbonated beverages aren't floatable in a weightless environment, so they remain randomly distributed throughout the fluid, even after drinking
Step-by-step explanation:
At the beginning of the year, Blake had $35 in savings and
saved an additional $16 each week thereafter. Zoe started
the year with $80 and saved $13 every week. Let B
represent the amount of money Blake has saved t weeks
after the beginning of the year and let Z represent the
amount of money Zoe has saved t weeks after the
beginning of the year. Write an equation for each
situation, in terms oft, and determine the number of
weeks after the beginning of the year until Blake and Zoe
have the same amount of money saved.
Answer:
B=35+16t
Z=80+13t
15 weeks
Step-by-step explanation:
Let's start by writing our equations
B=35+16t
Z=80+13t
To figure out when they have the same amount we can set the equations equal to each other and solve for t
so we have
35+16t=80+13t
Subtract 13t and 35 from both sides to get
3t=45
Divide by 3 to get t=15
Find the slope of the line that passes
through the points in the table. (First person to answer will get brainiest)
Answer:
-1/3 or -2/6
Step-by-step explanation:
First, you pick two points, I did (-5,10) and (1,8). Then, because slope is y(2)-y(1)/ x(2)-x(1), the equation would be 8-10/1-(-5) which equals -2/6 which simplifies into -1/3.
(hope this helps!)
What is 1.78 to a percent?
Answer:
178%
Step-by-step explanation:
move the decimal two places foward
Help
Due asap
Show workings
-- these are called same side exterior angles, which means they are supplementary.
x + 9 + 2x + 6 = 180
3x + 15 = 180
3x = 165
x = 55
so, option B.
x=3
Step-by-step explanation:
(x+9)°=(2x+6)°(by alternate exterior angle)
9-6=2x-x
3=x
check
(x+9)°=(2x+6)°
put value
3+9=2×3+6
12=12
LHS = RHS
2 cm on a map are equal to 3 km in real life. If two points are 8 cm apart on the map, how far apart are they in real life?
Please help
Show workings!
Answer:
LM = 57
Step-by-step explanation:
For each median (JN, ML and KP), the distance from a vertex to the centroid is twice the distance from the centroid to the midpoint of the side opposite that vertex.
In that case, LQ = 2QM
If LQ = 38 then QM = 19
38 + 19 = 57
please help me!!! asap
Answer:
The answer is B. y=2x - 8
Step-by-step explanation:
2 is the slope and 8 is the y-intercept
Answer:
y=2x-8
Step-by-step explanation:
Slope intercept form is y=mx+b
A man mixed 2 teaspoons of sugar into his large coffee but then added one more teaspoon of sugar because it was not sweet enough. What is the ratio of teaspoons of sugar to one large coffee
Answer:
the ratio of teaspoons of sugar to one large coffee is 3: 1
Step-by-step explanation:
The computation of the ratio of sugar teaspoons to one large coffee is as follows:
Sugar teaspoons = 2 + 1 = 3
And, the one large coffee = 1
So, based on the above information
The ratio between them is
= 3:1
= 3 to 1
hence, the ratio of teaspoons of sugar to one large coffee is 3: 1
hi, Can you please help me with this question, ( Please answer with the working)
Answer:
16 questions
Explanation:
Please see the attached picture for the full solution.
solve for k
4k=10+2k
-7(x+5) =21
apply the distributive property and simplify
Answer:
x=−8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−7(x+5)=21
(−7)(x)+(−7)(5)=21(Distribute)
−7x+−35=21
−7x−35=21
Step 2: Add 35 to both sides.
−7x−35+35=21+35
−7x=56
Step 3: Divide both sides by -7.
−7x/−7 = 56/−7
x=−8
Answer:-
Distributed: -7x+(-35)=21 Simplified: x=-8
Step-by-step explanation:-
Distributed:
-7(x+5)=21
(x*(-7))+(5*(-7))=21
-7x+(-35)=21
Simplified:
-7x-35=21
-7x=21+35
-7x=56
x=-8
If there are 12 boys and 60 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
Answer:
6:30
1:5
4:20
3:15
2:10
Step-by-step explanation:
im pretty sure these are correct
Which is the same distance from zero on the number line as 25?
Answer:
-25
Step-by-step explanation: the negative/ opposite of 25 is -25
What's y=1/3x+1 -7x+8y-5
5
The slope-intercept form is y = m x + b y = m x + b , where m m is the slope and b b is the y-intercept. y = m x + b y = m x + b
Rewrite in slope-intercept form.
Subtract 3 x 3 x from both sides of the equation. − 8 y = 5- 3 x - 8 y = 5-3 x
Divide each term by −8 -8 and simplify. y = 3 x 8 − 58 y = 3 x 8 - 58
Rewrite in slope-intercept form. y = 38 x − 58 .
hi.
i like you
yuejrh
Answer:
Huh
Step-by-step explanation:
If f(1) = 10 and f(n) = f(n-1) + 3 then find the value of f(6).
Answer:
7
Step-by-step explanation:
I need help please help me lol don’t mind my musty computer screen
Answer:
Is this on IReady? It seems like it to be honest, also solve whats ink the parenthesis first, its PEMDAS basically i hope this helps
Step-by-step explanation:
ANSWER ASAP?please need help
Answer:
y = 1/2x + 4
Step-by-step explanation:
y = mx + b
m is slope = 1/2
b is y-intercept = 4