Write an equation of the line in point-slope form y-y_1=m(x-x_1) from the given point and slope.
(4,6); m=2
Answer:
The equation in point-slope form is [tex]y-6=2(x-4)[/tex].
Step-by-step explanation:
We are given the slope and a coordinate pair of a line.
Slope: 2Coordinate Pair (x, y): (4, 6)Therefore, we can now label our coordinate pair and substitute our values into the formula. Our formula is:
[tex]\displaystyle y-y_1=m(x-x_1)[/tex]
We can label our coordinate pairs with the [tex](x_1, y_1)[/tex] labeling method.
Therefore, since our two coordinates are:
x = 4y = 6We can label 4 as x₁ and 6 as y₁.
Then, we are able to determine m, or our slope.
m = 2Now, let's set up our equation.
[tex]\displaystyle y - y_1 = m(x - x_1)\\\\y - 6 = 2(x - 4)\\\\y - 6 = 2x - 8\\\\y = 2x - 2[/tex]
Therefore, our line is y = 2x - 2. However, the problem asks for it in point-slope form. So, this is exactly what we have in Step 2: y - 6 = 2(x - 4).
Put the following equation of a line into slope-intercept form,
simplifying all fractions.
8x + 2y = -10
Answer:
y=-4x-5
Step-by-step explanation:
Subtract 8x from both sides to get the y variable alone. Then divide both sides by 2 and get y=-4x-5.
Answer:
y=−4x−5 because the guy on top of me said so
Step-by-step explanation:
Please help I am being timed!
Solve
7k – 8 = 28 + 24k
A. -2 2/17
B. -2
C. -1 5/31
D. 1 3/17
Sorry if this is easy I'm bad at math
Two whole numbers have a least common multiple of 60. Each number is lesss than or equal to 12. The greatest common factor of the two numbers is 2. What are the two numbers?
Answer:
10 and 6
Step-by-step explanation:
2 can go into both 6 and 10 and 6 and 10 are multiples of 60
Write the solution set in interval notation.
First, you need to solve the inequalities.
[tex]4q\geq -16[/tex]
[tex]q\geq -4[/tex]
[tex]q+3<7[/tex]
[tex]q<4[/tex]
Now let's write the interval notation for the first one.
The lowest number for this would be -4. q cannot be less than negative -4. Since q can be -4 OR greater than, you use brackets. [-4,
q can be anything greater than -4. So the second number is infinity. Infinity uses parentheses because it is no exact number.
So the interval notation for the first inequality is [-4, ∞).
Now let's write the interval notation for the second one.
q can be anything less than 4. So the first number would be negative infinity: (-∞
q cannot pass 4, so the second number would be 4. Since q does not include 4, you use parentheses: 4)
The interval notation for the second inequality is (-∞, 4).
The interval notation for this compound inequality is [-4, ∞) or (-∞, 4).
Sorry if this was long and confusing. Hope this helped!
A city has an elevation of -752 feet. Which statement describes the city's elevation?
O-752 above sea level
O-752 below sea level
O 752 above sea level
O 752 below sea level
Answer:
The answer is C my good sir
Step-by-step explanation:
Diego measured the length of a pen to be 22 cm. The actual length of the pen is 23 cm. Which of these is closest to the percent increase or decrease for Diego's measurement?
Answer: 4.5%
Step-by-step explanation:
From the question, we are informed that Diego measured the length of a pen to be 22 cm while the actual length of the pen is 23 cm.
The percentage decrease in his measurement will be:
= (23 - 22)/22 × 100
= 1/22 × 100
= 4.5%
Answer:
4.3%
Step-by-step explanation:
Madeline solved the inequality 3x + 7 ≤ 8x - 3 and her solution is x = 2.
Madeline is incorrect. Explain why she is incorrect. *
Answer:
In her answer she has an equality, x=2. Emphasis on equal. However, in the original inequality it's not a equal sign. x=2 is true, just not the complete the answer.
Answer should be x is greater than or equal to 2.
Hopefully that makes sense.
A spinner is divided into many sections of equal size. Some sections are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 9 over 20 . The probability of the arrow landing on a section colored blue is 6 over 20 . What is the probability of the arrow landing on a green-colored section? (1 point)
Group of answer choices
15 over 20
11 over 20
6 over 20
5 over 20
Answer:
11 over 20
Step-by-step explanation:
Answer: 5/20
Step-by-step explanation:
9/20+6/20=15/20
20/20-15/20=5/20
FIND THE NUMBER OF SUBSETS FOR SET
A) CONTAINING 3 ELEMENTS
B) WHOSE CARDINAL NUMBER IS 5
Answer:
a) 8 subsets
b) 32 subsets
Step-by-step explanation:
The total number of subset of a set is known as the power of the set
Power of a set is expressed as;
P = 2^n
n is the number of element in the set
a) For a set containing 3 elements
n = 3
Power of the set = 2³
Power of the set is 8
This means that the set contains 8 different subsets
b) Cardinality of a set is the total number of element in the set
If the cardinal number of a set is 5, this means that the set contains 5elements
Hence the power of the set will be;
P = 2^5
P = 32
Hence the total number of subset for set whose cardinal number is 5 is 32
The sum of two numbers is 46. The difference of those numbers is 22. What are the two numbers?
Answer:
34 and 12
Step-by-step explanation:
so two numbers are x and x-22
then x+x-22=46
2x=68
x=34
x-22 = 12
The numbers are 34 and 12, which gives sum 46 and difference 22.
What is algebra?Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.
Let the two numbers are a and b.
According to given conditions,
The sum of a and b is 46,
And the difference of a and b is 22.
Implies that,
a + b = 46 (1)
a - b = 22 (2)
Add equation (1) and (2),
2a = 68
a = 34
Substitute the value of a in equation 1 to get the value of b,
34 + b = 46
b = 46 - 34
b = 12
The required numbers are 34 and 12.
To know more about Algebra on:
https://brainly.com/question/24875240
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Please help me
Which of the following equations have exactly one solution?
Choose all answers that apply:
A--5x+12=-12x-12
B--5x+12=5x-5
C---5x+12=5x+12
D---5x+12=-5x-12
9514 1404 393
Answer:
A) 5x+12 = -12x-12
D) 5x+12 = -5x-12
Step-by-step explanation:
If you subtract the right side expression from both sides, you will get an equation with something equal to zero. If the 'something' has a variable in it, there is exactly one solution.
A: (5x+12) -(-12x-12) = 17x+24 = 0 . . . one solution
B: (5x+12) -(5x-5) = 17 = 0 . . . . no solutions
C: (5x+12)-(5x+12) = 0 = 0 . . . . infinite solutions
D: (5x+12) -(-5x-12) = 10x +24 = 0 . . . one solution
Which expression is not equivalent to 1/16?
Answer:
Is there any answer choices?
Step-by-step explanation:
Answer:
answer choices??
Step-by-step explanation:
you are saving money for a new iPhone. You've already save $249 and you make nine dollars per hour at work. How many hours, (h), must you work to have enough money to buy a $699 iPhone? Which inequality models this situation?
Answer: about 78 hours if you round up the answer!
Step-by-step explanation:
Answer:
$249 + 9h > $699Step-by-step explanation:
We will start with $249 and then add the inequality for h. Note that the number can be larger than 699, but not lower.
$249 + 9h > $699What is an expression for 2 over 3 (4x +9).
Answer:
Step-by-step explanation:
2 / 3 ( 4x + 9 )
Distributive property
2 / 12x + 27
What is the value of 5a + 7b
if a = 4 and b = 3??
a : 41
b : 12
c : 43
d : 35
Answer:
41
Step-by-step explanation:
the answer is a:41
this is because 5 times 4 is 20 and 7 times 3 is 21
so 20+21 is 41
30 POINTS!! PLEASE HELP ME! THANK YOU SO MUCH!!
show all steps to solve these problems in the photos
Step-by-step explanation:
Ok so i looked on an app i hope helps(Im not really sure if this is correct)I hope you get it soon!
To celebrate the first day of spring, Lin is putting stickers on some of the 100 lockers along one side of her middle school's hallway. She puts a skateboard sticker on every 4th locker (starting with locker 4), and a kite sticker on every 5th locker (starting with locker 5). Name three lockers that will get both stickers. After Lin makes her way down the hall, will the 30th locker have no stickers, 1 sticker, or 2 stickers? Explain how you know.
Answer:
The 30th sticker will have a sticker. The sticker will be 1 sticker (Kite Sticker) which will be put on the locker by Lin. This is because, following the arithematic progression of the sticker placement:
Locker 5 = Kite sticker
locker 10 = Kite sticker
Locker 15 = Kite sticker
.
.
Locker 30 = Kite sticker
It could be seen that at locker 30, the sticker to be placed by Lin will be Kite sticker
Step-by-step explanation:
The triangles in the picture are congruent by which method
Find the length of each side of the triangle determined by the three points P1,P2,P 1,P 2, and P3. P3 State whether the triangle is an isosceles triangle, a right triangle, neither of these, or both. (An isosceles triangle is one in which at least two of the sides are of equal length.) P1=(−1,4);P2=(6,2);P3=(4,−5)P 1=(−1,4);P 2=(6,2);P 3 =(4,−5).
Answer:
IT IS BOTH
Step-by-step explanation:
Given the coordinate of the triangle, P1P2P3, we are to classify the triangle. To do that we need to know the length of each side of the triangle
P1P2, P2P3 and P1P2 using the formula for calculating distance between two coordinates
D = √(x2-x1)²+(y2-y1)²
For P1P2;
P1=(−1,4) P2=(6,2)
P1P2 = √(6-(-1))²+(2-4)²
P1P2 = √7²+2²
P1P2 = √53
For P1P3;
P1=(−1,4) P3=(4,-5)
P1P3 = √(4-(-1))²+(-5-4)²
P1P3 = √5²+9²
P1P3 = √25+81
P1P3 = √106
For P2P3;
P2=(6,2) P3 = (4,-5)
P2P3= √(4-6)²+(-5-2)²
P2P3 = √2²+7²
P2P3 = √53
Since two sides of the triangles are the same, this means that it is an isosceles triangle.
Let's check whether it is right angled by applying Pythagoras theorem
(√53)²+(√53)² = x²
x is the longest side (hypotenuse)
53+53 = x²
106 = x²
x = √106
Since the square of the hypotenuse is equal to the sum of the sum of the square of other two sides, then it is also a RIGHT ANGLED TRIANGLE
What is 5X - 5 distributive property
Answer: 5(x-1)
Step-by-step explanation:
5*x = 5x
5*-1 = -5
therefore the answer is 5(x-1)
5x-5 distributed is 5(x-1).
The common factor of 5x and 5 is 5.
5x divided by 5 is 1x or x.
5 divided by 5 is 1.
So the answer is 5(x-1).
2/3
4
3.
An airplane is flying from New York City to Los Angeles. The distance it travels in
miles, d, is related to the time in seconds, t, by the equation d = 0.15t.
d= 0.15
1
0.157
t
(seconds)
1
30
d
(miles)
0.15
0.15 x 1
0.15 x 30
12.75
a.
How fast is it flying? Be sure to include the units.
b.
How far will it travel in 30 seconds?
C.
How long will it take to go 12.75 miles?
4.
Crater Lake in Oregon is shaped like a circle with a diamet
Answer:
2/3
4
3.
An airplane is flying from New York City to Los Angeles. The distance it travels in
miles, d, is related to the time in seconds, t, by the equation d = 0.15t.
d= 0.15
1
0.157
t
(seconds)
1
30
d
(miles)
0.15
0.15 x 1
0.15 x 30
12.75
a.
How fast is it flying? Be sure to include the units.
b.
How far will it travel in 30 seconds?
C.
How long will it take to go 12.75 miles?
4.
Crater Lake in Oregon is shaped like a circle with a diamet
Step-by-step explanation:
Find unit rate for 14 for 2.99
Answer: Okay so let's try to find the amount of money needed to buy 1 lb. Therefore, let's divide the fraction by 14.
Then we'll divide both the numerator and denominator by 14.
÷
Then we simplify and get:
14÷14=1 2.99÷14=.2135 We can round that to .21
The unit rate for each pound would be 1:.21
I don't know if that helped, but yeah. :)
Step-by-step explanation:
(3x^4-12x^3-5x^2-18+8) (x+4)
Answer:
=3x^5−53x^3−20x^2−10x−40
Step-By-Step explanation:
=(3x^4+−12x^3+−5x^2+−18+8)(x+4)
=(3x^4)(x)+(3x^4)(4)+(−12x^3)(x)+(−12x^3)(4)+(−5x^2)(x)+(−5x^2)(4)+(−18)(x)+(−18)(4)+(8)(x)+(8)(4)
=3x^5+12x^4−12x^4−48x^3−5x^3−20x^2−18x−72+8x+32
=3x^5−53x^3−20x^2−10x−40
Explain why the expression below always has the same value, no matter what number other than zero you choose for p.
P-2P+3p-4P
---------------
P
Answer and explanation:
The expression P-2P+3P-4P cannot have the same values for different values of P. Let us illustrate this by substituting different values of P in the expression:
If P= 2
Substitute P=2 in the expression
2-2×2+3×2-4×2
=2-4+6-8
=-4
If P= 3
Substitute P=3 in the expression
3-2×3+3×3-4×3
=3-6+9-12
=-6
If P = 1
Substitute P=1 in the expression
1-2×1+3×1-4×1
= 1-2+3-4
= -2
If P = -2
Substitute P=1 in the expression
-2-2×-2+3×-2-4×-2
= -2+4-6+8
=4
Therefore we can see from the above that the expression has different values for different values of P
Hello :) um Im just trying to learn this question- "Select the division equation that can be used to find the solution to the problem. 4/9 kilogram of baking soda costs $2. How much does 1 kilogram of baking soda cost?"
2 ÷ 4/9= ?
4/9 ÷ 2= ?
2 ÷ 1/9= ?
2 ÷ 2/9= ?
=========================================================
Explanation:
We're told that 4/9 kg of baking soda costs $2
We can form the equation
4/9 kg = 2 dollars
We want to know the cost of 1 kg of baking soda, so we'll need to divide both sides by 4/9 to turn the "4/9 kg" into "1 kg"
Therefore,
4/9 kg = 2 dollars
turns into
1 kg = (2 ÷ 4/9) dollars
We could simplify further, but your teacher has decided not to.
Need help with this question please
Answer:
15cm
Step-by-step explanation:
37 + 18 + x + x = 85
2x = 85 - 37 - 18
x = 15cm
This is a question on polygons. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Answer:
15
Step-by-step explanation:
I get brainliest please
a student is painting a room at a constant rate she is able to paint 2/5 of the room in 1/2 of an hour how long does it take to paint the whole room
Answer:
She is able to paint 2/5's of the room in 1/2 hour. How long does it take to paint the whole room? = 7.5 minutes. Hence, it will take 5*7.5 = 37.5 minutes to paint the entire room.
Answer:
1 1/4 Hours
Step-by-step explanation:
2/5+2/5=4/5
4/5=1 hour
1/2/1/2=1/4
1/5 room in 1/4 hour
1+1/4=1 1/4 hours
What is the slope of the line?
Answer:
m=3/4
Step-by-step explanation:
Get the points from the graph:
(4,2) and (-4,-4)
Slope formula is m= (y_2-y_1)/(x_2-x_1)
m=(-4-2)/(-4-4)
m=-6/-8
Simplify: 3/4
Ten less than half of a number(x) is 6.
Answer:
x = 32
Step-by-step explanation:
Given the following data;
Unknown number = x
Translating the word problem into an algebraic equation, we have;
[tex] \frac {x}{2} - 10 = 6[/tex]
Lowest common denominator (LCD) = 2
We multiply all through by 2;
[tex] 2* \frac {x}{2} - 2*10 = 2*6[/tex]
[tex] x - 20 = 12[/tex]
[tex] x = 12 + 20[/tex]
x = 32
Therefore, the unknown number is 32.