Answer:y=3x+1
Step-by-step explanation:
Slope intercept form is y=mx+b
(m) is slope
(b) is y int
y=3x+1
In this hanger, the weight of the triangle is x and the weight of the square is y. 1. Write an equation using x and y to represent the hanger. x + y = x + y 2. If x is 6, what is y?
Answer:
a. Equation is 3x - 2y = 0
b. x = 6 and y = 9
Step-by-step explanation:
a.
Given that
The Weight of the square is y
And, the weight of the triangle is x
Now the equation according to the attached diagram is
x + 3y = 4x + y
4x - x + 3y - y = 0
3x - 2y = 0
b.
Now if x = 6
So, y would be
3x - 2y = 0
3x = 2y
3(6) = 2y
18 = 2y
y = 9
We simply applied the above equation so that the correct value could come
And, the same is to be considered
Billy ran 100 yards in 12.8 seconds. Javon ran the same distance in 13.2 seconds. How much less was Billy’s time than Javon’s time?
Answer:
.4 seconds I think. Pretty simple.
Answer:
0.4 seconds
Step-by-step explanation:
13.2-12.8=0.4
What is the image of the point (-7, -3) after a rotation of 90° counterclockwise
about the origin?
The new point after rotation of point (-7, -3) counterclockwise by 90 degrees will be ( 3, -7).
What are coordinates?
A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).
Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.
For example (5,3) here 5 will be for the x and 3 will be for the y.
Another example is (9,0) here 9 is for x and 0 is for y.
Given,
Point A = (-7, -3)
Let's say after rotation this point moves to a new coordinate (x, y) which is point B
Let's say the origin is O
Slope of line segment AO = (-3-0)/(-7-0) = 3/7
Slope of line segment BO = (y - 0)/(x - 0) = y/x
Now,
Since both lines are perpendicular to each other so
Slope AO × Slope BO = -1
3/7 × y/x = -1 ⇒ 3y = -7x
Now if we observe the result then it will be clear that if we put x = 3 than y = -7 will be the new coordinate.
Hence, The new point after rotation of point (-7, -3) counterclockwise by 90 degrees will be ( 3, -7).
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Explain the error in the work and how you might prevent it
Answer:
The error is -12x² - 14x = - 26x² because 12x² and 14x are unlike terms, so we can not add them
To prevent it the dividend must be written as 6x³ + 0x² - 14x + 1
Step-by-step explanation:
In the division, you must arrange the dividend according to the greatest power of the variable, and put 0 as a coefficient of the missing term to avoid adding, unlike terms.
Example:
If the dividend is 3x³ - 2x + 5, then you must write it as 3x³ + 0x² - 2x + 5
Let us solve our question
∵ The dividend is 6x³ + 1 - 14x
→ You must arrange it from the greatest power of x
∴ The dividend is 6x³ - 14x + 1
∵ The term of x² is missing
→ Write it in the dividend with a coefficient of 0
∴ The dividend is 6x³ + 0x² - 14x + 1
The error is the adding of unlike terms
∵ 6x³ - 14x + 1 ÷ 3x + 6 = 2x² and [6x³ - 14x + 1 - 6x³ - (6x³ + 12x²)]
∵ [6x³ - 14x + 1 - 6x³ - (6x³ + 12x²)] = 6x³ - 14x + 1 - 6x³ - 12x²
∵ 6x³ - 14x + 1 - 6x³ - 12x² = 0 - 12x² - 14x + 1
∵ 0 - 12x² - 14x + 1 = -26x² + 1 ⇒ error
∴ The error is -12x² - 14x = - 26x² because 12x² and 14x are unlike terms,
so we can not add them
→ To prevent it, write 0 as a coefficient of the missing term
∵ The missing term is the term of x²
∴ Add to the dividend the term 0x²
∴ The dividend must be written as 6x³ + 0x² - 14x + 1
Answer:
-14x and 12x² are not like terms, so they can’t be subtracted.
To prevent this error, be sure to line up like terms
Step-by-step explanation:
just did it
What does y equal in 30+6y=7(y+6)-5
Answer:
y=-37
Step-by-step explanation:
0+6y=7(y+6)-5
0+6y=7y+42-5
6y=7y+37
-1y=37
y=-37
Solve for x: 6x + 3 = 5x − 8 −11 11 −5 5
Step-by-step explanation:
6x + 3 = 5x - 8
x = -11
Bring x terms to LHS and constant terms to RHS
Topic: Algebraic equations
If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!
Answer:
-11
Step-by-step explanation:
What is the slope of the line containing (-3, 1) and (1, -2)?
4
O A. -
O B.
o
c.
im
O
4
-
Answer:
[tex] \huge \orange{ - \frac{3}{4} } \\ [/tex]
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
From the question we have
[tex]m = \frac{ - 2 - 1}{1 - - 3} = \frac{ - 3}{1 + 3} = \frac{ - 3}{4} = - \frac{3}{4} \\ [/tex]
We have the final answer as
[tex] - \frac{3}{4} \\ [/tex]
Hope this helps you
Tina purchased 3. lbs. of apples and Joe purchased 11 lbs. of apples What is the difference in the amount of apples Tina and Joe purchased?
Answer:All we need to do is add.
5 + 2 = 7
Therefore, Joe has 7 apples.
best of luck
two angles are complementary they also have the same measurements which statements below are correct
Two-thirds of the buses in the transit system run on natural gas, and the rest run on diesel. If 738 of the buses run on diesel, how many buses does the transit system have?
9514 1404 393
Answer:
2214 buses
Step-by-step explanation:
Diesel buses constitute 1/3 of the total, so the total number of buses is 3 times the number of diesel buses.
total = 3·738 = 2214
The transit system has 2214 buses.
What's on your Christmas List? Santas Listening~
Answer:
1. My gf with me ;)
2. Ps5
Step-by-step explanation:
THERE :)
Answer:
VR Headset
Neon Nail Polish
New Blankie
Money for a laptop (I almost have enough!)
Step-by-step explanation:
Bc y not
the number of blueberry muffins that a baker makes each day is 40% of the total muffins she made
Answer:
Number of muffins baked x .4 = number of muffins baked by that person
Step-by-step explanation:
Solve 6 (7 + 9x) - 21 = 129 please solve this!
Answer: I would suppose 2.
An arctic woolly-bear caterpillar lives for 7 years and spends 90% of its life frozen. How many days of its life is the arctic woolly-bear frozen? Round to the nearest whole day.
Answer:
2,300 days are without activities
Step-by-step explanation:
We start by calculating the number of days in 7 years
Mathematically, that would be 7 * 2,555
From the question, 90% of days are without activities
The number of days without activities will be;
90/100 * 2,555 = 2,299.5 which is approximately 2,300 days
1
2
3
X
Numedaya
cling magazine
Number of
megnes sold
a
12
15
21
Tom sold magazines for 4 days last week. The table above gives the total number of magazines Tom had
sold for the week at the end of each of the 4 days. Which of the following best models the relationship
between the total number M of magazines Tom sold and the number x of days selling?
O M(x)=x+4
O M(x)= 1.5x +4
20 M(x)= 4x + 4
> M(x)= 6x+4
Answer:
C. [tex] M(x) = 4x + 4 [/tex]
Step-by-step explanation:
Find the rate of change/slope (m) using two pairs (1, 8) and (2, 12):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 8}{2 - 1} = \frac{4}{1} = 4 [/tex]
(Note: M(x) = y)
Find y-intercept (b) by substituting x = 1, M(x) = 8, and m = 4 in M(x) = mx + b.
Thus:
8 = (4)(1) + b
8 = 4 + b
Subtract 4 from each side
8 - 4 = b
4 = b
b = 4
substitute m = 4, and b = 4 in M(x) = mx + b, to get the equation that models the relationship.
The equation would be:
✅ [tex] M(x) = 4x + 4 [/tex]
You live in a small town where the population is currently 5000 people.
However, the population is increasing by 20% each year. What will the
population be in the year 2035 if it continues to grow at that rate? Round to
the nearest person. (Hint: It will be 2035 in 15 years.] *
Answer:
The population of each year is,
20/100 * 5000 = 1000
The population of 15 years is,
1000 * 15 = 15000
The total of 15 plus the 5000 years is,
15000 + 5000 = 20000
Thank you and please rate me as brainliest as it will help me to level up
[tex]6 \div 3 + {9}^{2} - 4[/tex]
evaluate the following expression
what is the product 49 x0.7
URGENT!! I have 12 minutes left!!
Question: Which words have horizontal reflection symmetry? Select all that apply.
A. MOM
B. BOB
C. BIB
D. TOOT
Answer:
c
Step-by-step explanation:
Answer:
MOM
TOOT
Step-by-step explanation:
VOTING In a recent school election, 208
of the 325 freshmen voted in their
class election. Write the fraction of
freshmen who voted. Then write the
fraction as a decimal.
Answer:
208/325
0.64
Step-by-step explanation:
Write the fraction as the number that voted on top of the number of total freshmen
For the decimal, divide 208 by 325. (This also gives you the decimal)
A race car travels 276 feet each second. How many yards does the race car travel in 5 seconds if it maintains that speed?
Answer:
460 yards
Step-by-step explanation:
3 feet are in a yard so 276 feet / 1 second * 1 yard / 3 feet=92 yards per second
92 * 5 = 460 yards
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
If the car travels at a speed of 276 feet per second, the number of yards the race car travels in 5 seconds is 460 yards.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
Example:
A man can travel 3 miles in 60 minutes.
The man can travel 1 mile in 20 minutes.
We have,
A car travels 276 feet each second.
This can be written as:
276 feet = 1 second
Multiply both sides by 5 we get,
5 x 276 feet = 5 x 1 second
1380 feet = 5 second ____(1)
1 yard = 3 feet
Multiply both sides by 460.
460 x 1 yard = 460 x 3 feet
460 yard = 1380 feet ____(1)
From (1) and (2) we get,
460 yard = 5 seconds
Thus,
If the car travels at a speed of 276 feet per second, the number of yards the race car travels in 5 seconds is 460 yards.
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The owner of a discount clothing store ordered six belts and eight hats for $140. A
week later, at the same prices, he bought nine belts and six hats for $132. Find the
price of a belt and a hat.
Plzzzz help it’s a test
Devan has 4 liters of milk. There are approximately 29.6 milliliters in 1 fluid ounce. Which measurement
is closest to the number of fluid Ounces in 4 liters?
A) 135 oz
B) 115 fl oz
C) 147 fl oz
D) 34 fl oz
Answer:
Step-by-step explanation:
The answer is B
The reason for this is all you have to do is multiply 29.4 x 4 and you get 118.4 and round it to get 115 fl oz
✨Hope it helps✨
Brainliest?...
Describe the end behavior of the following function f(x)=-7x^3+2x-4
Answer:
(0,-4)
Step-by-step explanation:
Dwayne bought 11 shirts for the members of a club. He paid $7 for 10 shirts and $10 for 1 shirt. He also paid a one-time fee of $60 and $4 to embroider the club name on each shirt. Which expression could be used to determine how much he paid altogether for the 11 shirts?
Answer:
T = (7 * 10) + 10 + 60 + (4 * 11)
Step-by-step explanation:
The expression that can be used to determine the total cost would be the following ...
T = (7 * 10) + 10 + 60 + (4 * 11)
This expression sums up the cost of each shirt, the one-time fee, and the embroidery costs. Since 10 of the shirts cost $7 each then you need to multiply the cost by the number of shirts that cost that amount. The same goes for embroidery. Since there are a total of 11 shirts and each one costs $4 to embroider then you do 4 * 11
What’s the temperature after t minutes plssss helppp
Answer:
what does T equal
Step-by-step explanation:
what is 6.4r-7-2.9r simplified
Answer:
3.5r - 7
General Formulas and Concepts:
Algebra I
Combining like termsStep-by-step explanation:
Step 1: Define
6.4r - 7 - 2.9r
Step 2: Simplify
Combine like terms: 3.5r - 7And we have our final answer!
What is the range of the function on the graph?
O all real numbers
O all real numbers greater than or equal to 0
O all real numbers greater than or equal to 1
O all real numbers greater than or equal to 2
whats the slope of (-1,8) and (2, -4)
Answer: 2 0ver 1 I think
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
y2-y1/x2-x1
plug in numbers
-4-8 is 12
2- negative one is 3
-12/3 is -4
03.01 LC)
What is the length of the hypotenuse of a right triangle if each of the two legs is 4 units? (5 points)
Square root of 8 units
4 units
Square root of 32 units
8 units
Answer:
sq rt of 32 units
Step-by-step explanation:
use the pythagorean theorem:
4^2 + 4^2 = c^2
16 + 16 = c^2
32 = c^2
sq rt of 32 = c
The length of the hypotenuse of a right triangle is 4√2.
What is Pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Given:
P= 4 units, B= 4 units
Now, using Pythagoras theorem
H² = P² + B²
H² = 4² + 4²
H²= 16+ 16
H² =32
H= √32
H= 4√2
Hence, the Hypotenuse is 4√2.
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