Answer:
y = 1/2x - 1
Step-by-step explanation:
The easiest was you do this is to first rearrange the equation into slope-intercept form (y = mx + b). After rearranging, you can find the slope (m).
2x + y = -5
y = -2x - 5
The slope is -2. Since the line we are trying to find is perpendicular, find the inverse and multiply it by -1.
-2 => 1/2
Now use the point-intercept form to find the new equation. Use the slope (1/2) and the given point (-1, -2).
y - y₁ = m(x - x₁)
y - (-2) = 1/2(x - (-2))
y + 2 = 1/2(x + 2)
y + 2 = 1/2x + 1
y = 1/2x - 1
The equation of the line perpendicular to line WX is y = 1/2x - 1.
The equation is y = (1/2)x -(3/2) ; y = one half x − three halves.
The correct option is D.
What is the equation of a Straight Line?
An equation of the straight line is given by y = mx+c,
Here m is the slope and c is the intercept on y-axis.
The equation of the line WX is 2x+y = -5
y = -2x -5
The product of the slopes of the line and the line perpendicular to this line will be -1
Therefore the slope of the line perpendicular to the line WX is -2 * m = -1,
m = 1/2
y = (1/2)x +c
The line passes through the points (-1, -2)
-2 = (1/2) (-1) +c
c = -2 +(1/2)
c = (-4 +1) /2
c = -3/2
Therefore, the equation is y = (1/2)x -(3/2) ; y = one half x − three halves.
The correct option is D.
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The net of a triangular prism and its dimensions are shown. What is the total surface area, in square inches, of the triangular prism?
A) 240 sq inches
B) 120 sq inches
C) 96 sq inches
D) 24 sq inches
Answer:
120 sq inches
Step-by-step explanation:
I just did the quiz just now
LAST QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS
What geometric construction is in progress in the image?
A) Constructing an interior arc
B) Bisecting a ray
C) Copying an angle
D) Bisecting an angle
Answer:
Bisecting an Angle.
Step-by-step explanation:
This image shows the Bisection of an Angle. The 'x' shaped mark between the angle is formed when a protractor is used to mark the place in which a ray must pass through the center of the 'x' to be an equal bisection of the angle. This shows that the process that is being undergone is finding the bisection of the angle.
Answer:
bisecting an angle
just took the test!
Step-by-step explanation:
Which of the following is the factored form of the quadratic *
12x^2+5x-2=0
1.(4x - 1)(3x - 2)
2.(4x - 1)(3x + 2)
3.(4x + 1)(3x - 2)
Answer:
2
Step-by-step explanation:
[tex]12x^2+5x-2=\\\\(4x-1)(3x+2)[/tex]
You can check this by working backwards and expanding:
[tex](4x-1)(3x+2)=\\\\12x^2-3x+8x-2=\\\\12x^2+5x-2[/tex]
Hope this helps!
What is the nth term in the sequence: 15, 22, 31, 42, 55
The price of an item has been reduced by 15%. The original price was $17
Answer:
17/100*85= $14.45
Step-by-step explanation:
Divide by 100 and multiply by (100-15) 85 to get the result.
please help me w dis!! marking brainiest!!!
Answer:
D
Step-by-step explanation:
Distributing the factors we get
-8x^2 -6x +35
Of the 100 students in the science club, 65 take mathematics, 43 take physics and 10 students take both mathematics and physics. How many science club students take neither mathematics nor physics? URGENT!
Answer:
2
Step-by-step explanation:
Add the students that take math and physics and subtract the ones that take both so that they are not double counted
65+43-10 =98
There are 100 students
100-98 =2
There are 2 that take neither math nor physics
ANSWER THIS AND I WILL FRIEND YOU!!! What is x? 2x(3+4x) *2 -5
Answer:
Step-by-step explanation:
[tex]2*(3+4x) *2 -5\\6+8x*2-5\\16x =-6-5\\16x = -11\\x = 11/16[/tex]
help? Given the points (0, 9) and (2, 3) find the slope.
Answer:
Slope = -3
Step-by-step explanation:
Slope = [tex]\frac{rise}{run}[/tex]
Slope = [tex]\frac{3-9}{2-0}[/tex]
Slope = [tex]\frac{-6}{2}[/tex]
Slope = -3
Solve this system of equations by
using the elimination method.
x + y = 15
5x - y = 9
Answer:
x=4 and y=11
Step-by-step explanation:
x+y=15
5x-y=9
x+5x-y+y=15+9
6x=24
X=4
x+y=15
4+y=15
y=11
What is the slope of the line graphed below
Answer: D 2
Step-by-step explanation: Because slope is the diffrence between the two points y/x which is 6/3 which is equal to 2
Answer:
Slope= 2
Step-by-step explanation:
There are three steps in calculating the slope of a straight line when you are not given its equation.
Step One: Identify two points on the line.
Step Two: Select one to be (x1, y1) and the other to be (x2, y2).
Step Three: Use the slope equation to calculate the slope.
please mark me brainliest :)
climate scientists use computer models to predict the likely change in global average temperature under various assumptions about CO2 production. What type of data source is this?
Answer:
[tex]\fbox{\begin{minipage}{10em}Option A: Simulation \end{minipage}}[/tex]
Step-by-step explanation:
The data is not collected from the world outside, but a computer.
=> The data can be generated under assumption from simulation only.
=> Option A is correct.
Hope this helps!
:)
Answer:
a. Simulation
Step-by-step explanation:
A computer model is generally a simulation of the real world. Certainly, a model of Earth's climate is a simulation.
__
In some cases, the data of interest is the performance of the computer itself (as opposed to some system outside the computer). In those cases, the running of the computer under different scenarios might be considered an experiment.
If you expand and simplify. -(y+2)(y-8)
Answer:
[tex]-y^2+6y+16[/tex]
Step-by-step explanation:
[tex]-(y+2)(y-8)[/tex]
[tex]-1(y+2) \times (y-8)[/tex]
[tex](-y-2)\times (y-8)[/tex]
[tex]-y(y-8)-2(y-8)[/tex]
[tex]-y^2+8y-2y+16[/tex]
[tex]-y^2+6y+16[/tex]
Describe and correct the error in finding the solution
(look at picture for problem)
Answer:
divide both sides by 2
Step-by-step explanation:
A box contains 20 miniature golf putt-putt balls; 10 are
yellow, 6 are red, and 4 are pink. What is the probability of
picking a red golf ball, replacing it, and then picking a
yellow golf ball? Written as a percent?
Answer: The answer is provided below
Step-by-step explanation:
From the question, a box contains 20 miniature golf putt-putt balls out of which 10 are yellow, 6 are red, and the remaining 4 are pink.
The probability of picking a red golf ball will be:
= 6/20 × 100
= 600/20
= 30%
If the red ball is replaced, the probability of picking a yellow golf ball will be:
= 10/20 × 100%
= 50%
A circle fits in a square with sides of 12 inches what is the appt area of the shaded region. Between the square and circle using 3.14 and round to nearest whole number
Answer:
144-36π sq. in.
Step-by-step explanation:
Please help me simplify these expressions
Answer: First answer is a^2 b^3. Second one is 3m^2n^5. Thrid is 15x^7y^3
Step-by-step explanation:
1. there is no numbers to multiply together, so just add the a's and b's
2.3 stands alone. add the m's and n's together. getting m^2 and n^5
3. Do 5*3 getting 15, add the x's together, same with the y's getting the answer of 15x^7y^3
Lmk if it helps. :)
Henry places £6000 in an account which pays 4.6% compound interest each year. Calculate the amount in his account after 2 years.
Answer:
6564.696
Step-by-step explanation:
A=6,000×(1+0.046)^(2)
A=6,564.696
Find all missing angles.
Answer:
m<1 = 51
m<2 = 34
m<3 = 95
m<4 = 38
m<5 = 47
m<6 = 74
m<7 = 59
Step-by-step explanation: because to get angle 1 you take 180 (because its is a straight line) and subtract the angle 129 giving you m<1 witch is 51. the second one is 180 - (m<1 + 95) =m<2 witch is 34 so m<2 = 34. third is the angle 95 because the lines that intersect give equal opposite angles so m<3 = 95. Four is 180 - (m<3 + 47) =m<4 witch is 38. fifth is opposite angle so it is 47. sixth is m<5 +m<6 + m<7 = 180 so m<5 is 47 and we can find m>7 by subtracting from 180 the angle 121 giving us m<7 = 59 so we will add m<5 and m<7 and subtract from 180 giving us m<6 witch is 74.
Micah is a busy college student. He carries a full load of classes and works a full time job to support himself financially while in college. Last semester, his total number of hours between job and classes each week usually amounted to about 80 hours. He has decided that he cannot do so many hours each week this semester. He feels that he has to cut back to about 80% as many hours. If half of his hours are to be school hours, how many school hours will he spend each week this semester?
Answer:
32 school hrs in a week.
Step-by-step explanation:
The reduction percentage =
80 x 0.80 = 64 (hrs)
The distribution =
64/2 = 32hrs
Will went fishing. On the first cast, he hooked a fish 80 feet from the boat. Each time he reeled in 10 feet of line, the fish would take out 5 feet. How many times did Will have to reel in to get the fish to the boat?
Answer:
he reeled in 16 times
Step-by-step explanation:
Jan lost 22 points on her exam. She got 11 questions wrong.
What integer represents the point value of each wrong answer?
Answer:
2
Step-by-step explanation:
22/11=2
what are the zero's f(x)=(x-3)(x+8)
Answer:
-8, 3
Step-by-step explanation:
[tex]f(x) = (x - 3)(x + 8) \\ plug \: f(x) = 0 \\ (x - 3)(x + 8) = 0 \\ x - 3 = 0 \: or \: x + 8 = 0 \\ x = 3 \: or \: x = - 8 \\ \therefore \: - 8, \: 3 \: are \: zeros \: [/tex]
(1) a) 5270 cl= ? dal
b) 5,3 kl= ? hl
c) 58000 ml= ? dal
d) 0,39 dal = ? l
e) 7,8 dal = ? dl
f) 57,2ml= ? cl
(2)
a) 3,7 l= ? cm3
b)29,6 dm3 = ? cl
c)8,1 l = ? cm3
d) 5 l= ? m3
e) 5,2 cl = ? mm3
f) 375 ml = ? cm3
g) 1300cm3 = ? dl
h) 8,6 ml = ? mm3
i) 51,8 × 10 la puterea a 11 a litri= ? Km3
Answer:
Check below
Step-by-step explanation:
1) These metric volume units can be easily converted by dividing or multiplying by 10 and its multiple. Like this: each step up on the ladder multiply by 10. Each step down divide by 10
[tex]a)5270 \:cl=527\:dl\\b)kl=5.3 \times 10=530 hl\\c)58000ml=5.8 dal =(\frac{58000}{10000})\\d)0.39 dal=3.9 l\\e)7.8 dal=780 dl\\f)57.2 ml=5.72 cl[/tex].
2) When it comes to area, the "ladder scheme" remains valid but now we'll multiply or divide by
[tex]10^3[/tex]
Bear in mind these useful relations:
[tex]1litre =\frac{1}{10^3}m^{3}[/tex]
[tex]1 cm^{3} =1 ml[/tex]
[tex]a) 3.7 l=3700 cm^{3}\\b)29.6 dm^{3}\\29.6 dm^{3} \rightarrow 29.6\times10^{3} cm^3=29.6\times10^{3} ml = 29.6\times10^{2} cl \:or\:2960 cl\\c)8.1l=8100 cm^{3}\\d)5l=\frac{5}{10^{-3}} m^{3}\\e)5.2 cl=52ml=52 cm^{3}=52\times10^{3}=52000 \:mm^{3}\\f)375 ml=375 cm^{3}\\g) 1300 cm^{3}=1300 ml=13 dl\\h) 8.6 ml= 8.6 cm^{3}\times\: 10^{3}=8600 mm^{3}\\i) 51.8\times 10^{11} l \rightarrow 51.8\times 10^{-11}km^{3}[/tex]
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
Find the slope and the y-intercept of the graph of the linear equation. y = −7x + 2 *
Answer:
slope = - 7, y- intercept = 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 7x + 2 ← is in slope- intercept form
with slope m = - 7 and y- intercept c = 2
PLEASE HELP!! QUICK. MULTIPLE CHOICE
Answer:
4 is a
Step-by-step explanation:
x/3 +2y/3= -1 and x-y/3=9 solve. by elimination method
Answer:
X=51/7, Y= -36/7
Step-by-step explanation:
X/3 + 2y/3 = -1 equ 1
X - y/3 = 9 equ 2
eliminate X/3.
X/3 + 2y/3 = -1..... x 1 ( co-efficient of X in equ2 )
X - y/3 = 9 ...... x 1/3 ( co-efficient of X in equ1 )
X/3 + 2y/3 = - 1 equ 3
-
X/3 - y/9 = 3 equ 4
0 + 7y/9 = -4
y = -36/7
( input the value of y into equ 4 )
X/3 -y/9 = 3
X/3 - (-36/7)/9 = 3
X/3 + 36/63 = 3
X/3 = 3 - 36/63
X/3 = 153/63
63X = 459
X = 459/63
X = 51/7.
The area of a circle is 18pi square inches. If the area of a sector of this circle is 6pi square inches, then which of the following must be the sector's central angle?
Please help I’ll give you brainliest promise !
Answer:
240 degrees
Step-by-step explanation:
Mathematically, the area of a circle is
A = 2 * pi * r^2
we need to calculate the radius of the circle first
18pi = 2pi * r^2
divide both sides by 2pi
r^2 = 9
r = 3 inches
Area of sector = angle/360 * pi * r^2
6pi = angle/360 * pi * 3^2
6pi = angle/360 * 9pi
(360 * 6pi)/9pi = angle
40 * 6 = 240 degrees
HELPPPP ME PLZZZZ!!!!!!
14. Each leg is [tex]21\sqrt{2}[/tex] units long.
15 (a). The longer leg is [tex]7\sqrt{3}[/tex] units long
15 (b). The hypotenuse is [tex]14[/tex] units long
=====================================================
Explanations:
For a 45 degree right triangle, aka 45-45-90 triangle, the hypotenuse is equal to sqrt(2) times the short leg. Algebraically we can say
[tex]y = x\sqrt{2}[/tex] where x is the leg and y is the hypotenuse
Let's solve for x
[tex]y = x\sqrt{2}\\\\x\sqrt{2} = y\\\\x = \frac{y}{\sqrt{2}}\\\\x = \frac{y\sqrt{2}}{\sqrt{2}*\sqrt{2}} \ \text{rationalizing denominator}\\\\x = \frac{y\sqrt{2}}{2}\\\\[/tex]
Now plug in the given hypotenuse y = 42, this leads to,
[tex]x = \frac{y\sqrt{2}}{2}\\\\x = \frac{42\sqrt{2}}{2}\\\\x = \frac{42}{2}\sqrt{2}\\\\x = 21\sqrt{2}\\\\[/tex]
---------------------------
For a 30-60-90 triangle, the hypotenuse is double that of the short leg. So the hypotenuse is 2*7 = 14.
The longer leg is equal to sqrt(3) times the short leg. The longer leg is [tex]7\sqrt{3}[/tex]