Answer:
y + 5 = ¹/₆(x - 1)Step-by-step explanation:
The slope of a line passing through two given points: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
(1, -5) ⇒ x₁ = 1 , y₁ = -5
(-5, -6) ⇒ x₂ = -5 , y₂ = -6
[tex]m=\dfrac{-6+5}{-5-1}=\dfrac{-1}{-6}=\dfrac16[/tex]
Point-slope form of equation of a line with givem slope m and passing through point (x₁, y₁): [tex]y-y_1=m(x-x_1)[/tex]
(1, -5) ⇒ x₁ = 1 , y₁ = -5
Therefore:
[tex]y-(-5)=\frac16(x-1)\\\\\underline{y+5=\frac16(x-1)}[/tex]
Lydia wants to become a stuntwoman for the movies. She finds a great school online and gets accepted. The only
problem is that the school is in California and Lydia doesn't have a car or money for a plane ticket. It will cost her
$2,000 to buy a car that gets 30 miles per gallon. The trip is 1200 miles and gas is $4.00 per gallon. It is $2,500 for the
plane ticket. Which would be cheaper for her the car or the plane?
Answer:
The aeroplane would be cheaper.
Step-by-step explanation:
she only has to spend on the pane which would be $2,500.
It is coming around $2,800 (cost of car+gas bills) if she chooses to buy car.
Hope it helps!
Find the value of X ?
Answer:
x = 19
Step-by-step explanation:
(10x - 23) and (7x + 34) are vertically opposite angles and congruent, so
10x - 23 = 7x + 34 (subtract 7x from both sides )
3x - 23 = 34 ( add 23 to both sides )
3x = 57 ( divide both sides by 3 )
x = 19
Cora is playing a game that involves flipping three coins at once let the random variable H be the number of coins that land showing heads. Here is the probability distribution for H.
Answer:
[tex]P(H <3) = 0.875[/tex]
Step-by-step explanation:
Given (Missing from the question):
[tex]\begin{array}{cc}{H}&{P(H)&0&0.125&1&0.375&2&0.375&3&0.125\end{array}[/tex]
And the required question is:
Determine the P(H < 3)
P(H <3) implies that: P(H = 0) or P(H = 1) or P(H = 2)
So, we have:
[tex]P(H <3) = P(H = 0) + P(H = 1) + P(H = 2)[/tex]
[tex]P(H <3) = 0.125 + 0.375 +0.375[/tex]
[tex]P(H <3) = 0.875[/tex]
Answer:
0.5
Step-by-step explanation:
That's the right answer on Khan
Angle ABD is 52°. State the size of angle DEB, giving a reason for your answer.
Answer:
∠ DEB = 52°
Step-by-step explanation:
The angle between a tangent and a chord is equal to the angle in the alternate segment, that is
∠ DEB = ∠ ABD = 52°
The short answer is that you use the tangent-chord theorem. A more lengthy answer is given below.
=================================================
Explanation:
Refer to the diagram below.
I'm going to move point E so that segment EB becomes a diameter of the circle (it goes through the center point F). Points A,B,C,D will stay in place. The red points and red segments show the changes.
In this slightly redrawn diagram, triangle EDB is a right triangle where angle EDB is 90 degrees. This is due to Thales Theorem, which is a special case of the inscribed angle theorem.
Also, the new segment EB is perpendicular to segment AC because the diameter touching the point of tangency is perpendicular to the tangent line. So angle EBA is 90 degrees.
Since points A, D and B didn't move, this means angle ADB is still 52 degrees. This makes the new angle EBD equal to 90-52 = 38 degrees.
Despite the fact that angle E has moved, it has not effected the size of angle DEB. This angle is the same as its original because we're still subtending the same minor arc DB, and that arc hasn't changed size (since segment DB hasn't changed). So that's why it's valid to use the same x for the old angle DEB in black and the new angle DEB in red. They're the same angle.
-------------
Focus on triangle EBD. We have the following interior angles
B = 38D = 90E = xFor any triangle, the three interior angles must add to 180
B+D+E = 180
38+90+x = 180
128+x = 180
x = 180-128
x = 52
Angle DEB is 52 degrees
It's not a coincidence that we end up with the same angle as shown in the original diagram. The tangent-chord theorem says that the angle between a chord and tangent (as shown in the diagram) is exactly equal to the inscribed angle that subtends the arc formed by the chord. Arc DB is formed by chord DB.
In short, the tangent-chord theorem says that inscribed angle DEB and angle ABD are the same measure (both are 52 degrees).
This demonstration I've shown is one way to prove the tangent-chord theorem. Though a more rigorous proof would involve another variable.
A train leaves at 09.46 and arrives at its destination at 10.34.
If the train travelled 74 km, what was it's average speed in km/h?
Give your answer rounded to 1 dp.
Answer:
92.5km/h
your welcome
Suppose a rabbit population of 10 rabbits triples every month. Write and solve a function for how many rabbits will exist after 3 months.
Answer:
40
Step-by-step explanation:
10 rabbits
+ 3 months = 30 rabbits
40 rabbits
(FOR BRAINLIEST!!!)
Type the correct answer in the box.
The line of best fit for this scatter plot shows the relationship between the average temperature and the monthly electricity bill at Jenny's house.
Answer:
Around 200 Dollars
Hope it helps
Answer:
$200
Step-by-step explanation:
It’s kinda easy but I wanna make sure it’s right pls help if you can
Answer:
a. 9/10
Step-by-step explanation:
hopes this helps
Which ordered pair is in the solution set of the system of inequalities
shown in the accompanying graph?*
Answer:
(-4,1)
Step-by-step explanation:
(6,1)- incorrect
(0,4) -incorrect
Try out pairs that will be inside the darker shaded color.
Hope this helps!
3x - 2y < 10 Graphing linear Inequalities. PLZ help
Hope it helps and let me know if you want an explanation <3 :)
how many moles are in 24 grams of argon?
5 t-shirts and a hat costs £62.00
2 t-shirts and a hat costs £29.00.
How much does a t-shirt cost?
How much does a hat cost?
Answer:
T-shirt : £11
Hat : £7
Step-by-step explanation:
Think of T-shirts as T
and Hats as H
5t + h = 62
2t + h = 29
we then subtract them both to cancel out h
3t = (62-29) = 33
now we divide 33 by 3 to find one t
33/3 = 11
so one t shirt is £11.00
now we substitute it back into the equation
2t ( 2x11 ) = 22
22 +h = 29
29 - 22 = 7
These are my cats, idek if it worked lol, also 40x2 bc why not you don’t have to answer
Answer:
It didn't work, 40 x 2 = 80
Step-by-step explanation:
have a good day
Answer:
Hey! I don't see any cats :(
Step-by-step explanation:
40x2= 80 !
Hope this helps!
Have a nice day! ♥(>'-'<)
What is 43.6925 rounded to the nearest thousands place
Answer:
43.693
Step-by-step explanation:
Is 2(6 – 3x) + x equivalent to 2(3x) + x + 12?
Answer:
Step-by-step explanation:
Carry out indicated operations to see if they are equal
2(6-3x)+x=2(3x)+x+12
2(6)+2(-3x)+x=6x+x+12
12-6x+x=6x+x+12 combine like terms on both sides
12-5x=12+7x (we can see here they are unequal but we can continue) subtract 12 from both sides
-5x=7x divide both sides by x
-5=7
7 is not equal to -5 so the original expressions aren’t equivalent.
Two cars drive on the same highway in the same direction. The graphs show the distance, , of each one as a function of time, . Which car drives faster? Explain how you know.
Answer:
Car b
Step-by-step explanation: Because it’s going higher on the graph because it’s going more straight than car a which is going more sideways
Can someone save this for me ?
Answer:
1. point it to 381.5
2. point it to 33.5
3. point it to 1,436
4. point it to 3,052.1
for pointing it to in terms of pi im confused about because ive tried to get the answer but can't
Step-by-step explanation:
zero point three divided by zero point 9
Answer:
0.33333
Step-by-step explanation:
Answer: the answer is 0.3 with a recipricol bar
Step-by-step explanation:
SOMEBODY ANSWER THIS PLZ PLZ PLZ!!!
Answer:
D. 18Step-by-step explanation:
This is the combination of 3, 3 and 2 options.
The number of combinations is:
3*3*2 = 18Correct choice is D
can somebody help me please
Answer:
x- 0,3 y-10,0
Step-by-step explanation:
can you solve this problem for me 40/4=x/2
Answer:
40/4=x/2
10×2=x
x=20 is your answer
x = 20
is your answer
Let's solve your equation step-by-step.
40
(40)*(2)=x*(4)
80=4x
Step 2: Flip the equation.
4x=80
Step 3: Divide both sides by 4.
The director of sales at the Shonda car company wants to examine the
relationship between the amount of money the company spends on marketing
and the number of cars sold. The scatter plot below shows this relationship. Which of the following equations most likely represents the line of best fit for the data shown in the scatter plot?
Answer:
Step-by-step explanation:
the answer is the 3rd one hope this helps:)
Virginia needed some batteries for her flashlights. She bought 4 batteries for $6.80. At that rate, how much would 10 batteries cost?
Answer:
$17
Step-by-step explanation:
First find the cost of 1 battery.
$6.80 ÷ 4 = $1.70
Then multiply the cost of one battery by 10.
$1.70 x 10 = $17
Answer:
10 batteries would cost $17
Find the length of the shorter leg in the triangle pictured below
x=6
x=24
X=12
X=12 square root 3
X=36
Answer:
b. x=24
Step-by-step explanation:
There are special formulas for finding the sides of a 30-60-90 triangle. The hypotenuse is always equal to 2a and the long leg is always equal to [tex]a\sqrt{3}[/tex].
Since side a is given already as 12. We can substitute 12 for a.
2(12) = 24
please help mee
[tex]7 - ( - 3)[/tex]
Answer:
10
Step-by-step explanation:
7-(-3)=7+3=10
FIND THE LENGTH OF SIDE “DE”. GIVING BRAINLIEST
Unit 4 Homework 2 Gina Wilson all things algebra,
Pls help!
Answer:
1. m∠1 = 48°
2. m∠1 = 129°
3. m∠1 = 37°
4. m∠1 = 88°
m∠2 = 42°
m∠3 = 113°
5. m∠1 = 72°
m∠2 = 35°
m∠3 = 24°
6. m∠1 = 128°
m∠2 = 52°
m∠3 = 47°
m∠4 = 133°
m∠5 = 81°
7. m∠1 = 41°
m∠2 = 85°
m∠3 = 95°
m∠4 = 85°
m∠5 = 36°
m∠6 = 49°
m∠7 = 106°
8. x = 12°
9. x = 9°
10. x = 5°
11. x = 7°
Step-by-step explanation:
1. 76° + 56° + m∠1 = 180°
∴ m∠1 = 180° - (76° + 56°) = 48°
m∠1 = 48°
2. m∠1 = 67° + 62° = 129°
m∠1 = 129°
3. m∠1 = 152° - 115° = 37°
m∠1 = 37°
4. m∠1 = 180° - (52° + 42°) = 88°
m∠1 = 88°
m∠2 = 42°
m∠3 = 180 - (42° + 25°) = 113°
m∠3 = 113°
5. m∠1 = 180° - 118° = 72°
m∠1 = 72°
m∠2 = 180° - 72° - 73° = 35°
m∠2 = 35°
m∠3 = 73° - 49° = 24°
m∠3 = 24°
6. m∠5 = 180° - m∠52° - m∠47° = 81°
m∠5 = 81°
m∠1 = 81° + 47° = 128°
m∠1 = 128°
m∠2 = 52°
m∠3 = 47°
m∠4 = 180° - 47° = 133°
m∠4 = 133°
7. m∠3 = 95°
m∠5 = 180° - 144° = 36°
m∠5 = 36°
m∠6 = 180° - 95° - 36° = 49°
m∠6 = 49°
m∠4 = 180° - 95° = 85°
m∠4 = 85°
m∠2 = 85°
m∠7 = 360° - (38° + 85° + (180° - 49°)) = 106°
m∠7 = 106°
m∠1 = 360° - (85° + 90° + 144°) = 41°
m∠1 = 41°
8. (10·x - 11)° + (3·x - 2)° + (3·x + 1)° = 16·x° - 12° = 180°
16·x = 180°+ 12° = 192°
x° = 192°/16 = 12°
x = 12°
9. (3·x - 5)° + (7·x + 5)° + 90 = 180°
10·x + 90° = 180°
10·x = 180°- 90° = 90°
10·x = 90°
x = 90°/10 = 9°
x = 9°
10. 180 - 151 = 29°
(11·x - 1)° + (20·x - 3)° + 29° = 180°
31·x° + 25° = 180°
31·x° = 180° - 25° = 155°
31·x° = 155°
x = 155/31 = 5°
x = 5°
12. (4·x + 13) + (6·x + 2) + 180 - (14·x - 13)
208° - 4·x° = 180°
208° - 180° = 4·x°
28° = 4·x°
4·x° = 28°
x = 28°/4 = 7°
x = 7°.
please help ! quick !
Answer: hi, i can’t see the photo
Step-by-step explanation:
£100 is divided between Fiona, Pip and Sara so that Fiona gets twice as much as Pip, and Pip gets 3 times as much as Sara. How much does Pip get?
Step-by-step explanation:
if pip gets x
sarah gets x/3
fiona gets 2x
so x+x/3 +2x=100
10x/3=100
x=30
help me out with this pls (multiple choice)
Answer:
B
Step-by-step explanation:
[tex] \tan( 30) = \frac{y}{7 } \\ y = \sqrt{147} = 7 \sqrt{3} \\ {x}^{2} = {7}^{2} + {(7 \sqrt{3}) }^{2} \\ {x}^{2} = 49 + 147 = 196 \\ x = \sqrt{196} = 14[/tex]
