Answer:
the slope is 23
Step-by-step explanation:
Write a linear equation in slope intercept form of a line with a slope of 12 and y intercept of 10
Answer:
y = 12x + 10
Step-by-step explanation:
The equation of the line in slope-intercept form is y = 12x + 10.
What is a slope?The slope or gradient of a line in mathematics is a numerical representation of the steepness and direction of the line.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.
Given that the slope is 12 and the y-intercept is 10, we have:
y = 12x + 10
Therefore, the equation of the line in slope-intercept form is y = 12x + 10.
To learn more about the slope;
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James's Dog, Buddy, is 2 years older than Fluffy, the neighbor's cat. Three Years ago, Buddy was three times older than fluffy. How old are the dog and cat now?
Answer: The cat is 4 years old, and the dog is 6 years old.
Step-by-step explanation:
We know that Buddy is 2 years old than Fluffy.
And 3 years ago, Buddy was 3 times older than Fluffy.
Let's define the variables:
B = age of Buddy
F = age of Fluffy.
The first statement can be written as:
B = F + 2
The second statement can be written as:
B - 3 = 3*(F - 3)
To solve this, we can replace the first equation into the second one, and solve that for F
B - 3 = 3*(F - 3)
(F + 2) - 3 = 3*F - 9
F - 1 = 3*F - 9
-1 + 9 = 3*F - F
8 = 2*F
8/2 = 4 = F
Fluffy is 4 years old, and with the first equation we can find the age of Buddy.
B = F + 2 = 4 + 2 = 6
Buddy is 6 years old
The required age of the dog buddy is 6 years old and the age of cat fluffy is 4 years old.
Given ,
James's dog buddy is 2 years older than Fluffy,
And the neighbor's cat Three Years ago, Buddy was three times older than fluffy.
Let ,
The age of buddy = B
The age of fluffy is = F
According to the question ,
Buddy, is 2 years older than Fluffy= Age of Buddy = Age of fluffy + 2 years older.
B = F +2
Again According to the question,
Three years ago age of Buddy = B - 3
Three years ago age of Fluffy = F - 3
Three years ago Buddy was three times older than fluffy = Three years ago age of Buddy = 3 × Three years ago Age of fluffy
B - 3 = 3 ( F - 3 )
Solving the equations,
B - 3 = 3 ( F - 3 )
Put the value of B from equation 1
F + 2 - 3 = 3 ( F -3 )
F - 1 = 3F - 9
F - 3F = - 9 +1
-2F = -8
2F = 8
[tex]F = \frac{8}{2}[/tex]
F = 4
The age of fluffy is 4 years old.
Then ,
The age of buddy
B = F + 2
B = 4 + 2
B = 6
The age of buddy is 6 years old.
The required age of the dog buddy is 6 years old and the age of cat fluffy is 4 years old.
For more information about system of equation click the link given below.
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Ms. Zerngast’s favorite candy is a snickers bar. It costs 7.80$ for 6 large snickers candy bars. She likes to buy them at our local center market. How many candy bars can Ms.Zerngast buy for $18.20
Answer:
14 bars
Step-by-step explanation:
Mark me brainliest plz
plzz help pythagorean theorem
Answer:
very easy 65inches
Step-by-step explanation:
follow me
Solve
493 km 43 m + 17 km 57 m
What is this answer
Answer:
510.1
Step-by-step explanation:
convert m to km by dividing by 1000 and add all of the numbers together
Solve for x. Round to the nearest degree.
Answer:
60
Step-by-step explanation:
Hope this helped!
Answer:
60
Step-by-step explanation:
Rahul has a farm he wishes to fence. The farm is the pentagon ABCDE, shown below. He knows that ABCD is a 140 m by 150 m rectangle, as shown below. He also knows that E is 50 m from the side AB and 30 m from the side BC. Determine the length of AE, the length of DE, and the perimeter of pentagon ABCDE
The diagram of the pentagon is missing, so i have attached it.
Answer:
|AE| = 130 m
|DE| = 150 m
Perimeter of pentagon = 720 m
Step-by-step explanation:
From the diagram, we can find AE from pythagoras theorem;
|AE| = √(|AA'|² + 50²)
Where AA' is the length from A to the perpendicular angle.
Now, AB = 150, and A'B is parallel to 30 m. Thus, A'B = 30
AA' = AB - A'B = 150 - 30
AA' = 120
Thus;
|AE| = √(120² + 50²)
|AE| = √(14400 + 2500)
|AE| = √16900
|AE| = 130
Similarly,
|DE| = √(|DD'|² + |ED'|²)
ED' = BC - 50
ED' = 140 - 50
ED' = 90
Also, DD' is parallel to AA' and is = 120
Thus;
|DE| = √(120² + 90²)
|DE| = √22500
|DE| = 150
Perimeter of pentagon = 150 + 130 + 150 + 150 + 140 = 720
plz help me due tommorow
Step-by-step explanation:
angle ABD = 180 - 116 = 64° (angles on a straight line are supplementary)
angle x = 2(64) = 128° (angle at centre = 2angle at circumference)
Topic: Circle properties
If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!
Buena snoches señorita hay esta mi estado de Cristopher Moreira
Answer:
Goodnight!!! :)
Step-by-step explanation:
The ice-cream parlour sells 5 chocolate cones for every 3 vanilla cones it sells. On Saturday, 30 vanilla cones were sold. How many chocolate cones were sold that day?
Answer:
3:5 or 3/5 is equal to 30:50 or30/50
so the answer is 50 chocolate cones
Please can you help me with this
cc is guaranteed the larger of $500 per week or 7% of sales. last week she 4 sold $6785. How much was her check for?
Answer:
Step-by-step explanation:
6785*7%=474.95 in commission
500 per week salary is more
Answer:
6785*7%= 474.95
Step-by-step explanation:
Hope this helps
Lemme know
Congruent polygons are _________________ polygons for which the ratio of the corresponding sides is 1:1.
9514 1404 393
Answer:
"similar"
Step-by-step explanation:
Congruent polygons will have corresponding sides in the ratio 1:1, but they must also have identical corresponding angles. The description of figures with identical corresponding angles (along with proportional sides) is that they are "similar".
Congruent polygons are similar polygons for which the ratio of the corresponding sides is 1:1.
I NEED HELP ASAP
What is a furry? If I draw fursonas am I a furry? I am seriously questioning my life rn. Plz help.
Don’t hate on furries plz
Answer:
iam sorry but furries are good lg!!!
Furry can have two definitions. A furry is either an anthrophomorphic animal which has human characteristics or a person that shows interest in furries. If you draw other people's fursona, i don't think that makes you a furry tbh. If you show interest and if you have your own fursona and you're passionate about it, however, then yeah you're pretty much a furry. Being a furry isn't bad honestly, it's just a hobby. I'm a furry myself and i honestly love this fandom. I met a lot of great people!
can someone help, please !!
Find m∠XYZ in the figure if ∠XYZ and ∠PQR are supplementary angles.
Question 5 options:
A)
83°
B)
7°
C)
97°
D)
173°
Answer: C
Step-by-step explanation:
Supplementary angles add up to 180
x + 83 = 180
x= 97
ABCD is a rectangle. Find the measure of the following angles (select an answer for each row)
Answer:
Angle 1 - 24 degrees
Angle 2 - 48 degrees
Angle 3 - 66 degrees
Angle 4 - 66 degrees
Angle 5 - 24 degrees
Angle 6 - 66 degrees
Angle 7 - 132 degrees
Step-by-step explanation:
I wanted to get this too you as fast as possible. I will add a detailed explanation in the comments.
whole page and will give brainliest
What is the sum of these decimal numbers?
6.338+2.705+4.099
Answer:
13.142
Step-by-step explanation:
The sum of the decimal numbers will be 13.142.
What is Decimal number?
A decimal number is a number that consists of a whole and a fractional part.
Given that;
The expression of the decimal numbers are,
⇒ 6.338 + 2.705 + 4.099
Now,
Since, The expression of the decimal numbers are,
⇒ 6.338 + 2.705 + 4.099
Add the numbers as;
6.338
2.705
+4.099
-------------
13.142
Thus, The sum of the decimal numbers will be 13.142.
Learn more about the decimal number visit:
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help me fast please
[tex] \: \: \: \: \: \: \: \: \: \: 4y - 2(3y - 5) \\ \\ = > 4y- 6y + 10 \\ \\ = > \green{\boxed{ - 2y + 10}}[/tex]
what is the expression !! Help I’ll give brainlest
Answer:
The answer is answer choice C. A - B/2
Step-by-step explanation:
Your swim team competes in the 200-meter freestyle relay. The individual times for the four team members are 27.81, 26.89, 26.55, and 25.48 seconds. What is the total relay time for the team?
Answer:
106.73
Step-by-step explanation:
What’s are the answers for parts A and B
Step-by-step explanation:
hope this helps, happy learning!!!
can someone pleaseeee help me
Answer:
I think its the green one
Step-by-step explanation:
if you get it wrong sorry
rewrite 4^-3 using a positive exponent an evaluate the result.
Answer: 1/4³
Step-by-step explanation:
When finding the negative exponent of a number, you turn it into a fraction, with the numerator being 1, and the denominator being the base of the exponent, and the exponent being positive.
Examples:
2^-2 = 1/2²
3^-3 = 1/3³
4^-4 = 1/4⁴
Line m is perpendicular to x − 2y = −1 and passes through (9, 2). What is the slope of line m?
Answer:
7
Step-by-step explanation:
The senior classes at High School A and High School B planned separate trips to the water park. The senior class at High School A rented and filled 14 vans and 2 buses with 270 students. High School B rented and filled 9 vans and 9 buses with 459 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.
Answer:
x = number of students in the van = 14
y = number of students in the bus = 37
Step-by-step explanation:
Let
x = number of students in the van
y = number of students in the bus
14x + 2y = 270 (1)
9x + 9y = 459 (2)
Multiply (1) by 9 and (2) by 2
126x + 18y = 2,430 (3)
18x + 18y = 918 (4)
Subtract (4) from (3)
126x - 18x = 2,430 - 918
108x = 1,512
x = 1,512 / 108
= 14
x = 14 students in each van
Substitute x = 14 into (1)
14x + 2y = 270
14(14) + 2y = 270
196 + 2y = 270
2y = 270 - 196
2y = 74
y = 74/2
= 37
y = 37 students in each bus
x = number of students in the van = 14
y = number of students in the bus = 37
first 1 i got the answer but i want the 2
Which statement must be true? The monthly salary of Shenika is less spread out than the monthly salary of Clarissa. The monthly salary of Kaila is less spread out than the monthly salary of Abi. The monthly salary of Abi is less spread out than the monthly salary of Shenika. The monthly salary of Clarissa is less spread out than the monthly salary of Abi.
Answer: The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.
Step-by-step explanation:
Hi. Your question isn't complete but I got something close to it online.
The monthly mean salaries and standard deviations of four college students are given below. student mean standard deviation clarissa $345 12.53 abi $598 8.99 kaila $812 15.29 shenika $208 7.67 which statement must be true?
We can see that while Shenika has a mean of $208 and a standard deviation of 7.67, Clarissa has a mean of $345 and a standard deviation of 12.53. This simply means that monthly salary of Shenika is less spread out than the monthly salary of Clarissa.
Answer:
A - The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.
Step-by-step explanation:
edge
Learning Task 4. Solve the problem by applying the sum and product of roots
of quadratic equations.
The perimeter of a rectangular metal plate is 36 dm and its area is 80
dm². Find its dimensions. (Relate the measures to the sum and product of a
quadratic equation.)
The perimeter of a rectangle is twice the sum of its length and width while
its area is the product of its length and width. Such that,
Perimeter = 2(L+w) and Area = L•w.
Answer:
Thus, the dimensions of the metal plate are 10 dm and 8 dm.
Step-by-step explanation:
For a quadratic equation:
[tex]x^2+bx+c=0[/tex]
The sum of the roots is -b and the product is c. Note the leading coefficient is 1.
We know the perimeter of the rectangular metal plate is 36 dm and its area is 80 dm^2. Being L and W its dimensions, then:
P=2(L+W)=36
A=L.W=80
Note both formulas are closely related to the roots of the quadratic equation, we only need to adjust the data for the perimeter to be exactly the sum of L+W and not double of it.
Thus we use the semi perimeter instead as P/2=L+W=18
The quadratic equation is, then:
[tex]x^2-18x+80=0[/tex]
Factoring by finding two numbers that add up to 18 and have a product of 80:
[tex](x-10)(x-8)=0[/tex]
The solutions to the equation are:
x=10, x=8
Thus, the dimensions of the metal plate are 10 dm and 8 dm.