Answer:
So we have (-1,3), (-2,2) and (-5,-1).
Step-by-step explanation:
So we need to find the equation of the line that is parallel to the blue line going through point P.
The slope of the blue line (count the rise/run) is 1/1=1.
Parallel lines have the same slope.
So y=mx+b is the slope-intercept form where m is the slope and b is the y-intercept.
So since the blue line has slope 1 and parallel lines have the same slope then the line going through point P will have slope 1 too.
Point P is actually the y-intercept of the line going through P.
So the equation that is parallel to the blue line going through point P is y=1x+4. b was 4 because it was the y-intercept.
You can also just write y=1x+4 as y=x+4.
Testing the points:
(-4,2)?
Does y=x+4 for this point? 2=-4+4 which gives us 2=0 so no for this point.
(-1,3)?
Does y=x+4 for this point? 3=-1+4 which gives us 3=3 so yes for this point.
(-2,2)?
Does y=x+4 for this point? 2=-2+4 which gives us 2=2 so yes for this point.
(4,2)?
Does y=x+4 for this point? 2=4+4 which gives us 2=8 so no for this point.
(-5,-1)?
Does y=x+4 for this point? -1=-5+4 which gives -1=-1 so yes for this point.
So we have (-1,3), (-2,2) and (-5,-1).
21%
For all values of x
(2)
f(x) = (x + 2)2 and g(x) = 3(x - 1)
a) Find gf(x), giving your answer in the form a(x2 + bx + c)
where a, b and care integers.
(x² +
x +
b) Find g '(12)
(2)
Answer:
f(x) = (x + 2)2 = 2x + 4
g(x) = 3(x - 1) = 3x - 3
gf(x) = (2x + 4)(3x - 3)
= 6x² - 6x + 12x - 12
= 6x² + 6x - 12
To write the final answer in the form
a(x² + bx + c) we factorize the expression
Thus
6x² + 6x - 12
= 6( x² + x - 2)
where a = 6, b = 1 and c = - 2
b.) to find g '(12) we first find g ′
To find g′ equate g(x) to y
Thus
g(x) = y
y = 3x - 3
x = 3y - 3
3y = x + 3
Divide both sides by 3
We get
y = x+3/3
That's g′ = x + 3 / 3
g′(12) = 12 + 3 / 3
= 15/3
= 5
Hope this helps
Considering the following statements, what is X → Z? X → Y: If the sum of the interior angles of a shape is 180°, then it's a triangle. Y → Z: If a shape is a triangle, then it has three sides.
A) X → Z: If a shape has three sides, then it's a triangle.
B) X → Z: If the sum of the interior angles of a shape isn't 180°, then it doesn't have three sides.
C) X → Z: If the sum of the interior angles of a shape is 180°, then it has three sides.
D) X → Z: If a shape has three sides, then the sum of the interior angles of the shape is 180°.
Answer: X → Z: If the sum of the interior angles of a shape is 180°, then it has three sides.
Step-by-step explanation:
Answer: The answer is C.
Step-by-step explanation: I did the test and it was right
what is 2 Square of 100? what is 3 Square of 250
Answer:
10,000
15,625,000
Step-by-step explanation:
Squaring a number means multiplying a number by itself.
100^2=100*100=10,000
Cubing a number means multiplying a number by itself 3 times.
250^3=250*250*250=15,625,000
Hope this helps ;) ❤❤❤
Answer:
10000
15,625,000
Step-by-step explanation:
100 x 100 = 10000
250 x 250 x 250 = 15,625,000
Jerry's motorcycle tank holds 6gallons of gas. There are 3 gallons of gas currently in the tank. How much more gasoline will
it take to fill the tank? (Simplify your answer and write it as a mixed numner
Answer:
It takes 3 more gallons to fill the tank.
Step-by-step explanation:
6-3=3
Please help with this
Answer: x = 10
Step-by-step explanation:
Hi, to answer this question we have to apply proportions, since the sides are equivalent.
15/25
6/x
So, for equal ratios:
15/25 = 6/x
Solving for the missing side x:
x = 6 / (15/25)
x = 10
In conclusion, the correct option is D) 10
Feel free to ask for more if needed or if you did not understand something.
In a recent television survey, participants were asked to answer ʺyesʺ or ʺnoʺ to the question ʺAre you in favor of the death penalty? ʺ Six thousand five hundred responded ʺyesʺ while 4100 responded ʺnoʺ. There was a fifty-cent charge for the call.
A) stratified B) random C) cluster D) convenience E) systematic
Answer:
D) Convenice
Step-by-step explanation:
People who called in were already wiilling to answer with a 50 cent charge and had available time to answer the survey
Find the value of the trigonometric ratio, cos L.
Answer:
b/h
Step-by-step explanation:
remember SOH CAH TOA. Sin = opposite/hypotenuse, cos = adjacent/hypotenuse, tan = opposite/adjacent. So in this case use CAH for cos L. Adjacent to L is b, and the hypotenuse is h. Therefore the answer is b/h.
4. Which regions contain more than 3 million males?
Answer:
The Eastern region has more than 3 million males.
sin law or cos law?!!!!!!!!!!!!!
Answer:
Law of Sines
Step-by-step explanation:
Law of Sines: [tex]\frac{A}{sina} =\frac{B}{sinb} =\frac{C}{sinc}[/tex]
Step 1: Solve for m∠B
[tex]\frac{25}{sin36} =\frac{27}{sinx}[/tex]
25sinx = 27sin36°
sinx = 27sin36°/25
[tex]x = sin^{-1}(\frac{27sin36}{25} )[/tex]
m∠B ≈ 39.4°
Step 3: Find m∠C
180 - (36 + 39.4)
180 - 75.4
m∠C = 104.6°
A tiling company completes two jobs. The first job has $1200 in labor expenses for 40 hours worked, while the second job has $1560 in labor expenses for 52 hours worked. The relationship between the labor expenses and the hours worked is linear. Which equation can be used to calculate the y-intercept of the linear equation? 1200 = 40 (40) + b 1560 = 30 (40) + b 1560 = 30 (52) + b 1200 = 52 (30) + b
Answer:
The correct option is;
1560 = 30(52) + b
Step-by-step explanation:
The cost of the first job = $1,200 in labor and expenses
The number of hours worked in the first job = 40
The second job costs $1,560 in labor and expenses
The number of hours worked in the second job = 52
If the cost of labor per hour = L and the expenses = b, we have;
$1,200 = 40×L + b......................(1)
$1,560 = 52×L + b.......................(2)
Subtracting equation (1) from (2), we have;
52×L + b - (40×L + b) = 52×L - 40×L + b - b = $1,560 - $1,200 = $360
12×L = $360
L = $360/12 = $30/hour
From equation (1), we have;
$1,200 = 40×L + X = 40×$30 + b
Therefore, the equation that can be used to calculate the y-intercept of the linear equation is either;
1200 = 40(30) + X or 1560 = 32(52) + b, which gives the correct option as 1560 = 32(52) + b
Est. Length: 2:00:00
x
Wyatt Stewart: Attempt 1
(06.01 MC)
What is the value of the expression shown below?
(2) 12 point)
4 + 16 +2244
O 1) 20
O 2 16
0 3 2
O 4) 5
Answer:
Step-by-step explanation:
B
Here is a list of ingredients to make biscuits.
200 g butter
180 g caster sugar
400 g plain flour
20g chocolate chips
Andrew only has 300 g of plain flour.
How much of the other ingredients should he use?
g butter
g caster sugar
Help due tomorrow and I'm a bit thick and tired
g chocolate chips
Answer:
[tex]\frac{200}{1} * \frac{3}{4} = 150g[/tex] < butter
[tex]\frac{180}{1}*\frac{3}{4} = 135g[/tex] < castor sugar
[tex]\frac{20}{1}*\frac{3}{4} = 15g[/tex] < chocolate chips
full working out :)
NEED IT ASAP What is the value of x in the diagram below? A.18/ ROOT 3 B.18 ROOT 2/ROOT 3 C.18 ROOT 3/ ROOT 2 D. 18 ROOT 2
Answer:
x = B. 18 ROOT 2/ROOT 3
Step-by-step explanation:
There are two Triangles in the diagram above.
Step 1
We would solve for Triangle A First
Using Trigonometric function Cosine
cos θ = adjacent /hypotenuse
θ = 30°
Adjacent = 9 units
Hypotenuse = unknown
cos 30= 9/ Hypothenuse
Cross Multiply
cos 30 × Hypotenuse = 9
Hypotenuse = 9 / cos 30
cos 30 in surd form = √3/2
Hypotenuse = 9/√3/2
Hypotenuse = 9 × 2/√3
= 18/√3 units
Step 2
We would solve for the upper triangle = Triangle B
We are looking for x
θ = 45°
For Triangle B, the Hypotenuse we solved for in Triangle A is equivalent to the adjacent in Triangle B
Therefore ,
Hypotenuse for Triangle A = Adjacent side for Triangle B
θ = 45°
Adjacent = 18/√3 units
Hypotenuse = x = unknown
We would solve for this using Trigonometric function cosine
cos 45 = 18/√3 units / Hypothenuse
Cross Multiply
cos 45 × Hypotenuse = 18/√3 units
Hypotenuse = 18/√3 units / cos 45
cos 45 in surd form = 1/√2
Subtituting, we have
Hypotenuse (x) = 18/√3 units / 1/√2
Hypotenuse (x) = 18/√3 units ×√2/1
= 18× √2/ √3 units
= 18 √2/√3 units
Therefore x = Option B. 18 ROOT 2/ROOT 3
Answer:
18sqrt2/sqrt3
or B on Edg
Step-by-step explanation:
Inez rides a bike with 24 inch (2 feet) wheels. What is the distance he can travel in 1500 revolutions?
Answer:
9420 ft
Step-by-step explanation:
1500 revolutions = 1500 full rotations or 360 degrees
Circumference = 6.28 ft ( 3.14 x 2 )
Then we take rotations by the circumference
1500 x 6.28 = 9420
MARK AS BRAINLIEST
Answer:
9420 ft or 2.88 km
Step-by-step explanation:
d= 2 ft
1500 revs
C= πd= 3.14*2= 6.28 ft
distance= 1500*6.28= 9420 ft ≈ 2.88 km
Helpppp meeee do ths
Answer:
7/10
Step-by-step explanation:
10 dishes
3 meat dishes = ( chicken, hamburger, meatloaf)
10-3 = 7 that are not meat
P ( not meat) = not meat / total
=7/10
Answer:
7/10
Step-by-step explanation:
There are a total of 10 meals to choose from. There is 1 chicken, 1 hamburger, and 1 meatloaf. Together they make 3 meat choices. So there are 3/10 of probability of choosing meat. We are looking for the probability of not choosing meat which would be 7/10. This is because the whole amount of meals 10- 3 meat chooices equals 7 total of meals that are not meat. Which gives us the probability of 7/10.
Hope that was helpful!
(Brainliest???) :P
Which is the graph of the system x+3y>-3 and y<1/2x+1?
Answer:
The y-intercept of the first inequality is -1.
The y-intercept of the second inequality is +1.
The fourth graph has these correct.
There are eight marbles in a bag. Four marbles are blue (B), two marbles are red
(R) and two marbles are green(G)
Steve takes a marble at random from the bag.
(i) What is the probability that Steve will take a blue marble.
(ii) What is the probability that Steve will take a green marble.
(iii) What is the probability that Steve will take a yellow marble.
Answer:
i. 4/8 or 1/2, ii. 2/8 or 1/4, iii. 0/8
Step-by-step explanation:
In the problem it says that there are 8 marbles in total, so for number 1 it'll be 4/8 or 1/2 since 4 of the marbles are blue. Number 2 will be 2/8 because there are only 2 green marbles and you can simplify 2/8 to 1/4. The last one would be 0 since the problem didn't mention that there are yellow marbles. Hope this helps :)
Sarah dreams of going to medical school and giving quality medical care to people who live in countries in crisis. Which of the following is an organization she might want to work for? Peace Corps. World Health Organization. United Nations. Alliance for small island states
I would say World Health Organization because that is for the world and Sally dreams of going to medical school and giving quality medical care to people who live in countries in crisis.
Answer:
B
Step-by-step explanation:
I took the test ;P
Find the length of LW. If entering your answer as a decimal, round your final answer to the nearest hundredth. LW = ___ Units
Answer:
17.5 units
Step-by-step explanation:
We are given the following values from the diagram above
LA = 3.5 units
AY = Midpoint = 7.0 units
LW = unknown
Step 1
The first step is to determine what AW is.
From the right angled triangle, we obtained these proportions
LA : AY = AY : AW
= LA/AY= AY/AW
Cross Multiply
7× 7 = 3.5 × AW
49 = 3.5 AW
AW = 49/3.5
AW = 14 units
Step 2
LW = AW + LA
LW = 14 units + 3.5 units
LW = 17.5 units
Answer:
17.5 units
Step-by-step explanation:
i got this correct on khan thanks to adefunkeadewole.
thank you very much adefunkeadewole :)
Which of the following is a conditional statement?
Question 1 options:
A)
If Alex studies for the geometry exam, then he will pass.
B)
Alex often fails geometry exams, but he passed this one.
C)
Alex studies for geometry exams, and he often passes.
D)
Either Alex goes to track practice, or he studies for the geometry exam.
there are 4 blue counters and 3 red counters in a bag. Suzy put some more red counters into the bag. The ratio between blue and red counters is now 2:5. How many red counters did suzy put into the bag
Answer:
i think suzy will put 15 red counters into the bag
Step-by-step explanation:
6.5+(-8.3)-(-1.6)+0.7-9.9
Answer:
-12.6
Step-by-step explanation:
OK so I might have done something wrong but just remember when you're adding a negative and and a positive number you're technically just subtracting
PRE CALC, please help 22 POINTS
Answer:
D. f(x)=3^x+5
Step-by-step explanation:
D. have a domain and range
In 6 years, John will be 3 times the age he was 2 years ago. What is his current age?
7
U8
5
Answer:
John is currently 6 years old.
Step-by-step explanation:
2 years ago: x years
Current time: x+2
In 6 years: x+8
EQUATION:
3(x)=x+8= 3x=x+8
(subract x from both sides)
2x=8
x=4
Therefore, John is 6 years old in current time
Use the diagram at the right to answer questions 7-11.
7. Find the measure of a
8. Find the measure of b.
9. Find the measure of e.
10. Find the measure of h.
11. Find the measure of i.
Answer:
7. a= 110°
8. b= 70°
9. e= 140°
10. h= 150°
11. i= 150°
Step-by-step explanation:
I put the following rules in case you forgot them:
First Rule : Sum of angles of the triangle is 180°.
um of angles of the triangle is 180°
Second Rule : Sum of supplementary angles (angles of straight angle) is 180°.
Third Rule : Vertically Opposite Angles are equal.
7. Find the measure of a
a= 180° - 30° - 40° = 110° (using first rule i wrote it above)
8. Find the measure of b.
b= 180° - a = 180°- 110°= 70° (using second rule where a and b are supplementary angles)
9. Find the measure of e.
e= 180° - 40°= 140° (second rule where angles 40° and e are supplementary)
10. Find the measure of h.
h= 180° - 30°= 150° (second rule where h and the angle 30° are supplementary angles)
11. Find the measure of i.
i = h = 150° (third rule where i and h are vertically opposite angles)
Hope this helps.. Good Luck!
The volume of a cuboidal box is 21952 cubic cm. Find the length of each side of the box.
Answer:
28 cm
Step-by-step explanation:
V=a³
a= ∛V= ∛21952 cm³ = 28 cm
Answer:
28 is the answer because you have to find the cube root of the volume.Step-by-step explanation:
28 is the answer because you have to find the cube root of the volume. This is because a cube has equal sides so it means that the sides have to be equal. When you find volume, you have to multiply the length, width, and height. So you have to find the cube root of 21952. The cube root is 28.
Hope this helped,
Kavitha
Triangle ABC is transformed to triangle A′ B′ C′, as shown below: A coordinate grid is shown from negative 4 to 0 to 4 on both x- and y-axes. A triangle ABC has A at ordered pair negative 3, 4, B at ordered pair negative 4, 2, C at ordered pair negative 1, 1. A triangle A prime B prime C prime has A prime at ordered pair 3, 4, B prime at ordered pair 4, 2, C prime at ordered pair 1, 1.
Which equation shows the correct relationship between the measures of the angles of the two triangles?
The measure of angle ABC = The measure of angle A prime B prime C prime
The measure of angle ABC = The measure of angle B prime C prime A
The measure of angle BCA = The measure of angle A prime B prime C prime
The measure of angle BCA = The measure of angle C prime A prime B prime
Answer:
The measure of angle ABC = The measure of Angle A' B' C'
Step-by-step explanation:
Because
<A = <A'
<B = <B'
<C = <C'
The answer above is right.
A person has to walk 100 m to go from position X in the north of east direction to the position B and then to the west of Y to reach finally at position Z. The position Z is situated at the north of X and at a distance of 60 m from X. Find the distance between X and Y.
Answer:
The distance between X and Y is 68m
Step-by-step explanation:
Consider the diagram attached:
A person starts from X, goes to Y, and then finally goes to Z, covering a total of 100m, where Z is located 60m in north of X.
We have to find distance XY.
Let the distance XY be x
Total distance covered by the person = XY + YZ
We know that total distance covered is 100m, so
100m = x + YZ
YZ = (100 - x)m
See the diagram, XZY forms a right angled triangle such that:
Hypotenuse = XY = x
Base = XZ = 60m
Perpendicular = YZ = (100-x)m
Using Pythagoras theorem
Hypotenuse² = Base² + Perpendicular²
x² = (60)² + (100-x)²
Solve the equation for x, we get:
x = 68m
George believes the Art Club students at his school have an unfair advantage in being assigned to the art class they request. He asked 500 students at his school the following questions: "Are you in the Art Club?" and "Did you get the art class you requested?" The results are shown below:
Art class and in art club: 100
Art class and not in art club: 265
Total in art class: 365
Not in art class and in art club: 65
Not in art class and not in art club: 70
Total not in art class: 135
Total in art club: 165
Total not in art club: 335
Total students: 500
Help George determine if all students at his school have an equal opportunity to get into the art class they requested. Show your work, and explain your process for determining the fairness of the class assignment process.
Answer:
If you're not an art club member and you want to request the art class, you have a greater chance of getting into our class. There isn't an equal opportunity for all students to get into the art class they requested, therefore the class assignment is unfair.
As a non-art club member, you have a 79% chance of being assigned to the art class they request.
As an art club member, you have a 61% chance of being assigned to the art class they request.
Step-by-step explanation:
265, divided 335, that's 79%. So this means that if you are not in the art club and you wish to enroll in an art class, you have 79% of percent of being admitted in your request in art class.
Total not in art club 335/ Total students 500= 0.791= 0.79%
Art class and in art club 100/ Total in art club 165= 0.606 = 0.61%
Non art club requested 79% against art club requested 61%.
Identifying the values a, b, and c is the first step in using the Quadratic Formula to find solution(s) to a quadratic equation. What are the values a, b, and c in the following quadratic equation? −3x2 − 5x + 9 = 0 a = 5, b = 9, c = 0 a = 3, b = 5, c = 9 a = −3, b = −5, c = 9 a = −5, b = 9, c = 0
Answer:
a = -3 b = -5 and c = 9
Step-by-step explanation:
−3x^2 − 5x + 9 = 0
The quadratic function is written as
ax^2 + bx+c =0
So a = -3 b = -5 and c = 9
Answer:
a = -3, b = -5 and c = 9
Step-by-step explanation:
Given Quadratic Equation is:
=> [tex]-3x^2-5x+9[/tex]
Comparing it with standard form of quadratic equation [tex]ax^2+bx+c[/tex], we get
=> a = -3, b = -5 and c = 9